when to use problem solving method

Common Problem-Solving Models & How to Use Them

Problem – solving models are step-by-step processes that provide a framework for addressing challenges. Problems arise in every facet of life. From work. to home. to friends and family, problems and conflicts can make life difficult and interfere with our physical and mental well-being. Understanding how to approach problems when they arise and implementing problem-solving techniques can make the journey through a problem less onerous on ourselves and those around us.

By building a structured problem-solving process, you can begin to build muscle memory by repeatedly practicing the same approach, and eventually, you may even begin to find yourself solving complex problems . Building a problem-solving model for each of the situations where you may encounter a problem can give you a path forward, even when the most difficult of problems arise.

This article will explore the concept of problem-solving models and dive into examples of such models and how to use them. It will also outline the benefits of implementing a problem-solving model in each area of life and why these problem-solving methods can have a large impact on your overall well-being. The goal of this article is to help you identify effective problem-solving strategies and develop critical thinking to generate solutions for any problem that comes your way.

Problem-Solving Model Defined

The first step in creating a problem-solving plan is to understand what we mean when we say problem-solving models. A problem-solving model is a step-by-step process that helps a team identify and effectively solve problems that they may encounter. This problem-solving approach gives the team the muscle memory and guide to address a conflict and resolve disputes quickly and effectively.

There are common problem-solving models that many teams have implemented, but there is also the freedom to shape a method to fit the needs of a specific situation. These models often rely on various problem-solving techniques to identify the root cause of the issue and find the best solution. This article will explore some common problem-solving models as well as general problem-solving techniques to help a team engage with and solve problems effectively.

Benefits of Implementing Problem-Solving Models

Before we discuss the exact models for problem-solving, it can be helpful to discuss why problem-solving models are beneficial in the first place. There are a variety of benefits to having a plan in place when a problem arises, but a few important benefits are listed below.

Guide Posts

When a team encounters a problem and has a guide for how to approach and solve the problem, it can be a relief to know that they have a process to fall back on when the issue cannot be resolved quickly from the beginning. A problem-solving strategy will serve as a guide for the parties to know which steps to take next and how to identify the appropriate solution.

It can also clarify when the issue needs to stay within the team, and when the issue needs to be escalated to someone in a position with more authority. It can also help the entire team solve complex problems without creating an issue out of the way the team solves the problem. It gives the team a blueprint to work from and encourages them to find a good solution.

Creative Solutions That Last

When the team or family has a way to fall back on to solve a problem, it takes some of the pressure off of coming up with the process and allows the parties to focus on identifying the relevant information and coming up with various potential solutions to the issue. By using a problem-solving method, the parties can come up with different solutions and find common ground with the best solution. This can be stifled if the team is too focused on figuring out how to solve the problem.

Additionally, the solutions that the parties come up with through problem-solving tools will often address the root cause of the issue and stop the team from having to revisit the same problem over and over again. This can lead to overall productivity and well-being and help the team continue to output quality work. By encouraging collaboration and creativity, a problem-solving technique will often keep solving problems between the parties moving forward and possibly even address them before they show up.

Common Models to Use in the Problem-Solving Process

Several models can be applied to a complex problem and create possible solutions. These range from common and straightforward to creative and in-depth to identify the most effective ways to solve a problem. This section will discuss and break down the problem-solving models that are most frequently used.

Standard Problem-Solving Process

When you search for a problem-solving technique, chances are you will find the standard model for saving problems. This model identifies and uses several important steps that will often be used in other models as well, so it can be helpful to begin the model-building process with an understanding of this model as a base. Other models often draw from this process and adapt one or more of the steps to help create additional options. Each of these steps works to accomplish a specific goal in furtherance of a solution.

Define the Problem

The first step in addressing a problem is to create a clear definition of the issue at hand. This will often require the team to communicate openly and honestly to place parameters around the issue. As the team defines the problem, it will be clear what needs to be solved and what pieces of the conflict are ancillary to the major issue. It helps to find the root causes of the issue and begin a process to address that rather than the symptoms of the problem. The team can also create a problem statement, which outlines the parameters of the problem and what needs to be fixed.

In addition to open and honest communication, other techniques can help to identify the root cause and define the problem. This includes a thorough review of the processes and steps that are currently used in the task and whether any of those steps are directly or indirectly causing the problem.

This includes reviewing how tasks are done, how communication is shared, and the current partners and team members that work together to identify if any of those are part of the issue. It is also the time to identify if some of the easy fixes or new tools would solve the problem and what the impact would be.

It is also important to gain a wide understanding of the problem from all of the people involved. Many people will have opinions on what is going on, but it is also important to understand the facts over the opinions that are affecting the problem. This can also help you identify if the problem is arising from a boundary or standard that is not being met or honored. By gathering data and understanding the source of the problem, the process of solving it can begin.

Generate Solutions

The next step in the basic process is to generate possible solutions to the problem. At this step, it is less important to evaluate how each of the options will play out and how they may change the process and more important to identify solutions that could address the issue. This includes solutions that support the goals of the team and the task, and the team can also identify short and long-term solutions.

The team should work to brainstorm as many viable solutions as possible to give them the best options to consider moving forward. They cannot pick the first solution that is proposed and consider it a successful problem-solving process.

Evaluate and Select

After a few good options have been identified, the next step is to evaluate the options and pick the most viable option that also supports the goals of the team or organization. This includes looking at each of the possible solutions and determining how they would either encourage or hinder the goals and standards of the team. These should evaluated without bias toward the solution proposed or the person putting forward the solution. Additionally, the team should consider both actual outcomes that have happened in the past and predicted instances that may occur if the solution is chosen.

Each solution should be evaluated by considering if the solution would solve the current problem without causing additional issues, the willingness of the team to buy in and implement the solution, and the actual ability of the team to implement the solution.

Participation and honesty from all team members will make the process go more smoothly and ensure that the best option for everyone involved is selected. Once the team picks the option they would like to use for the specific problem, they should clearly define what the solution is and how it should be implemented. There should also be a strategy for how to evaluate the effectiveness of the solution.

Implement the Solution and Follow Up

Once a solution is chosen, a team will often assume that the work of solving problems is complete. However, the final step in the basic model is an important step to determine if the matter is resolved or if additional options are needed. After the solution has been implemented by the team, the members of the team must provide feedback and identify any potential obstacles that may have been missed in the decision-making process.

This encourages long-term solutions for the problem and helps the team to continue to move forward with their work. It also gives the team a sense of ownership and an example of how to evaluate an idea in the future.

If the solution is not working the way that it should, the team will often need to adapt the option, or they may get to the point where they scrap the option and attempt another. Solving a problem is not always a linear process, and encouraging reform and change within the process will help the team find the answer to the issues that they face.

GROW Method

Another method that is similar to the standard method is the G.R.O.W. method. This method has very similar steps to the standard method, but the catchiness of the acronym helps a team approach the problem from the same angle each time and work through the method quickly.

The first step in the method is to identify a goal, which is what the “g” stands for in “grow.” To establish a goal, the team will need to look at the issues that they are facing and identify what they would like to accomplish and solve through the problem-solving process. The team will likely participate in conversations that identify the issues that they are facing and what they need to resolve.

The next step is to establish the current reality that the group is facing. This helps them to determine where they currently are and what needs to be done to move them forward. This can help the group establish a baseline for where they started and what they would like to change.

The next step is to find any obstacles that may be blocking the group from achieving their goal. This is where the main crux of the issues that the group is facing will come out. This is also helpful in giving the group a chance to find ways around these obstacles and toward a solution.

Way Forward

After identifying the obstacles and potential ways to avoid them, the group will then need to pick the best way to move forward and approach their goal together. Here, they will need to create steps to move forward with that goal.

Divide and Conquer

Another common problem-solving method is the divide-and-conquer method. Here, instead of the entire team working through each step of the process as a large group, they split up the issue into smaller problems that can be solved and have individual members or small groups work through the smaller problems. Once each group is satisfied with the solution to the problem, they present it to the larger group to consider along with the other options.

This process can be helpful if there is a large team attempting to solve a large and complex problem. It is also beneficial because it can be used in teams with smaller, specialized teams within it because it allows each smaller group to focus on what they know best.

However, it does encourage the parties to shy away from collaboration on the overall issue, and the different solutions that each proposes may not be possible when combined and implemented.

For this reason, it is best to use this solution when approaching complex problems with large teams and the ability to combine several problem-solving methods into one.

Six Thinking Hats

The Six Thinking Hats theory is a concept designed for a team with a lot of differing conflict styles and problem-solving techniques. This method was developed to help sort through the various techniques that people may use and help a team find a solution that works for everyone involved. It helps to organize thinking and lead the conversation to the best possible solution.

Within this system, there are six different “hats” that identify with the various aspects of the decision-making process: the overall process, idea generation, intuition and emotions, values, information gathering, and caution or critical thinking. The group agrees to participate in the process by agreeing on which of the hats the group is wearing at a given moment. This helps set parameters and expectations around what the group is attempting to achieve at any moment.

This system is particularly good in a group with different conflict styles or where people have a hard time collecting and organizing their thoughts. It can be incredibly beneficial for complex problems with many moving parts. It can also help groups identify how each of the smaller sections relates to the big picture and help create new ideas to answer the overall problem.

However, it can derail if the group focuses too heavily or for too long on one of the “hats.” The group should ensure that they have a facilitator to guide them through the process and ensure that each idea and section is considered adequately.

Trial and Error

The trial and error process takes over the evaluation and selection process and instead chooses to try out each of the alternatives to determine what the best option would be. It allows the team to gather data on each of the options and how they apply practically. It also provides the ability for the team to have an example of each possible answer to help a decision-maker determine what the best option is.

Problem-solving methods that focus on trial and error can be helpful when a team has a simple problem or a lot of time to test potential solutions, gather data, and determine an answer to the issue.

It can also be helpful when the team has a sense of the best guess for a solution but wants to test it out to determine if the data supports that option, or if they have several viable options and would like to identify the best one. However, it can be incredibly time-consuming to test each of the options and evaluate how they went. Time can often be saved by evaluating each option and selecting the best to test.

Other Problem-Solving Skills

In addition to the methods outlined above, other problem-solving skills can be used regardless of the model that is used. These techniques can round out the problem-solving process and help address either specific steps in the overall method or alter the step in some way to help it fit a specific situation.

Ask Good Questions

One of the best ways to work through any of the problem-solving models is to ask good questions. This will help the group find the issue at the heart of the problem and address that issue rather than the symptoms. The best questions will also help the group find viable solutions and pick the solution that the group can use to move forward. The more creative the questions , the more likely that they will produce innovative solutions.

Take a Step Back

Occasionally, paying attention to a problem too much can give the group tunnel vision and harm the overall processes that the group is using. Other times, the focus can lead to escalations in conflict. When this happens, it can be helpful to set aside the problem and give the group time to calm down. Once they have a chance to reconsider the options and how they apply, they can approach the issue with a new sense of purpose and determination. This can lead to additional creative solutions that may help the group find a new way forward.

Final Thoughts

Problem-solving can be a daunting part of life. However, with a good problem-solving method and the right techniques, problems can be addressed well and quickly. Applying some of these options outlined in this article can give you a head start in solving your next problem and any others that arise.

To learn more about problem-solving models, problem-solving activities, and more, contact ADR Times !

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What is Problem Solving? (Steps, Techniques, Examples)

By Status.net Editorial Team on May 7, 2023 — 4 minutes to read

What Is Problem Solving?

Definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

• Identify the issue : Recognize the problem that needs to be solved.
• Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
• Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
• Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
• Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
• Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
• Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

• Brainstorming with others
• Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
• Analyzing cause and effect
• Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

• Creating a list of potential ideas to solve the problem
• Grouping and categorizing similar solutions
• Prioritizing potential solutions based on feasibility, cost, and resources required
• Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

• SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
• Decision-making matrices
• Pros and cons lists
• Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

• Communicating the solution to relevant parties
• Setting timelines and milestones
• Assigning tasks and responsibilities
• Monitoring the solution and making adjustments as necessary
• Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

• Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
• Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
• SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
• Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

• Generate a diverse range of solutions
• Encourage all team members to participate

When brainstorming:

• Reserve judgment until the session is over
• Encourage wild ideas
• Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

• 5 Whys : Ask “why” five times to get to the underlying cause.
• Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
• Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

• List your problem’s strengths, such as relevant resources or strong partnerships.
• Identify its weaknesses, such as knowledge gaps or limited resources.
• Explore opportunities, like trends or new technologies, that could help solve the problem.
• Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

• Write the problem in the center of a blank page.
• Draw branches from the central problem to related sub-problems or contributing factors.
• Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

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40 problem-solving techniques and processes

All teams and organizations encounter challenges. Approaching those challenges without a structured problem solving process can end up making things worse.

Proven problem solving techniques such as those outlined below can guide your group through a process of identifying problems and challenges , ideating on possible solutions , and then evaluating and implementing the most suitable .

In this post, you'll find problem-solving tools you can use to develop effective solutions. You'll also find some tips for facilitating the problem solving process and solving complex problems.

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What is problem solving?

Problem solving is a process of finding and implementing a solution to a challenge or obstacle. In most contexts, this means going through a problem solving process that begins with identifying the issue, exploring its root causes, ideating and refining possible solutions before implementing and measuring the impact of that solution.

For simple or small problems, it can be tempting to skip straight to implementing what you believe is the right solution. The danger with this approach is that without exploring the true causes of the issue, it might just occur again or your chosen solution may cause other issues.

Particularly in the world of work, good problem solving means using data to back up each step of the process, bringing in new perspectives and effectively measuring the impact of your solution.

Effective problem solving can help ensure that your team or organization is well positioned to overcome challenges, be resilient to change and create innovation. In my experience, problem solving is a combination of skillset, mindset and process, and it’s especially vital for leaders to cultivate this skill.

What is the seven step problem solving process?

A problem solving process is a step-by-step framework from going from discovering a problem all the way through to implementing a solution.

With practice, this framework can become intuitive, and innovative companies tend to have a consistent and ongoing ability to discover and tackle challenges when they come up.

You might see everything from a four step problem solving process through to seven steps. While all these processes cover roughly the same ground, I’ve found a seven step problem solving process is helpful for making all key steps legible.

We’ll outline that process here and then follow with techniques you can use to explore and work on that step of the problem solving process with a group.

The seven-step problem solving process is:

1. Problem identification 

The first stage of any problem solving process is to identify the problem(s) you need to solve. This often looks like using group discussions and activities to help a group surface and effectively articulate the challenges they’re facing and wish to resolve.

Be sure to align with your team on the exact definition and nature of the problem you’re solving. An effective process is one where everyone is pulling in the same direction – ensure clarity and alignment now to help avoid misunderstandings later.

2. Problem analysis and refinement

The process of problem analysis means ensuring that the problem you are seeking to solve is  the   right problem . Choosing the right problem to solve means you are on the right path to creating the right solution.

At this stage, you may look deeper at the problem you identified to try and discover the root cause at the level of people or process. You may also spend some time sourcing data, consulting relevant parties and creating and refining a problem statement.

Problem refinement means adjusting scope or focus of the problem you will be aiming to solve based on what comes up during your analysis. As you analyze data sources, you might discover that the root cause means you need to adjust your problem statement. Alternatively, you might find that your original problem statement is too big to be meaningful approached within your current project.

Remember that the goal of any problem refinement is to help set the stage for effective solution development and deployment. Set the right focus and get buy-in from your team here and you’ll be well positioned to move forward with confidence.

3. Solution generation

Once your group has nailed down the particulars of the problem you wish to solve, you want to encourage a free flow of ideas connecting to solving that problem. This can take the form of problem solving games that encourage creative thinking or techniquess designed to produce working prototypes of possible solutions.

The key to ensuring the success of this stage of the problem solving process is to encourage quick, creative thinking and create an open space where all ideas are considered. The best solutions can often come from unlikely places and by using problem solving techniques that celebrate invention, you might come up with solution gold.

4. Solution development

No solution is perfect right out of the gate. It’s important to discuss and develop the solutions your group has come up with over the course of following the previous problem solving steps in order to arrive at the best possible solution. Problem solving games used in this stage involve lots of critical thinking, measuring potential effort and impact, and looking at possible solutions analytically.

During this stage, you will often ask your team to iterate and improve upon your front-running solutions and develop them further. Remember that problem solving strategies always benefit from a multitude of voices and opinions, and not to let ego get involved when it comes to choosing which solutions to develop and take further.

Finding the best solution is the goal of all problem solving workshops and here is the place to ensure that your solution is well thought out, sufficiently robust and fit for purpose. 

5. Decision making and planning

Nearly there! Once you’ve got a set of possible, you’ll need to make a decision on which to implement. This can be a consensus-based group decision or it might be for a leader or major stakeholder to decide. You’ll find a set of effective decision making methods below.

Once your group has reached consensus and selected a solution, there are some additional actions that also need to be decided upon. You’ll want to work on allocating ownership of the project, figure out who will do what, how the success of the solution will be measured and decide the next course of action.

Set clear accountabilities, actions, timeframes, and follow-ups for your chosen solution. Make these decisions and set clear next-steps in the problem solving workshop so that everyone is aligned and you can move forward effectively as a group.

Ensuring that you plan for the roll-out of a solution is one of the most important problem solving steps. Without adequate planning or oversight, it can prove impossible to measure success or iterate further if the problem was not solved. 

6. Solution implementation 

This is what we were waiting for! All problem solving processes have the end goal of implementing an effective and impactful solution that your group has confidence in.

Project management and communication skills are key here – your solution may need to adjust when out in the wild or you might discover new challenges along the way. For some solutions, you might also implement a test with a small group and monitor results before rolling it out to an entire company.

You should have a clear owner for your solution who will oversee the plans you made together and help ensure they’re put into place. This person will often coordinate the implementation team and set-up processes to measure the efficacy of your solution too.

7. Solution evaluation 

So you and your team developed a great solution to a problem and have a gut feeling it’s been solved. Work done, right? Wrong. All problem solving strategies benefit from evaluation, consideration, and feedback.

You might find that the solution does not work for everyone, might create new problems, or is potentially so successful that you will want to roll it out to larger teams or as part of other initiatives.

None of that is possible without taking the time to evaluate the success of the solution you developed in your problem solving model and adjust if necessary.

Remember that the problem solving process is often iterative and it can be common to not solve complex issues on the first try. Even when this is the case, you and your team will have generated learning that will be important for future problem solving workshops or in other parts of the organization. 

It’s also worth underlining how important record keeping is throughout the problem solving process. If a solution didn’t work, you need to have the data and records to see why that was the case. If you go back to the drawing board, notes from the previous workshop can help save time.

What does an effective problem solving process look like?

Every effective problem solving process begins with an agenda . In our experience, a well-structured problem solving workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

The format of a workshop ensures that you can get buy-in from your group, encourage free-thinking and solution exploration before making a decision on what to implement following the session.

This Design Sprint 2.0 template is an effective problem solving process from top agency AJ&Smart. It’s a great format for the entire problem solving process, with four-days of workshops designed to surface issues, explore solutions and even test a solution.

Check it for an example of how you might structure and run a problem solving process and feel free to copy and adjust it your needs!

For a shorter process you can run in a single afternoon, this remote problem solving agenda will guide you effectively in just a couple of hours.

Whatever the length of your workshop, by using SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

Complete problem-solving methods

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

The Six Thinking Hats   #creative thinking   #meeting facilitation   #problem solving   #issue resolution   #idea generation   #conflict resolution   The Six Thinking Hats are used by individuals and groups to separate out conflicting styles of thinking. They enable and encourage a group of people to think constructively together in exploring and implementing change, rather than using argument to fight over who is right and who is wrong.

Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   It doesn’t matter where you work and what your job role is, if you work with other people together as a team, you will always encounter the same challenges: Unclear goals and miscommunication that cause busy work and overtime Unstructured meetings that leave attendants tired, confused and without clear outcomes. Frustration builds up because internal challenges to productivity are not addressed Sudden changes in priorities lead to a loss of focus and momentum Muddled compromise takes the place of clear decision- making, leaving everybody to come up with their own interpretation. In short, a lack of structure leads to a waste of time and effort, projects that drag on for too long and frustrated, burnt out teams. AJ&Smart has worked with some of the most innovative, productive companies in the world. What sets their teams apart from others is not better tools, bigger talent or more beautiful offices. The secret sauce to becoming a more productive, more creative and happier team is simple: Replace all open discussion or brainstorming with a structured process that leads to more ideas, clearer decisions and better outcomes. When a good process provides guardrails and a clear path to follow, it becomes easier to come up with ideas, make decisions and solve problems. This is why AJ&Smart created Lightning Decision Jam (LDJ). It’s a simple and short, but powerful group exercise that can be run either in-person, in the same room, or remotely with distributed teams.

Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills.

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for brainstorming solutions

Now you have the context and background of the problem you are trying to solving, now comes the time to start ideating and thinking about how you’ll solve the issue.

Here, you’ll want to encourage creative, free thinking and speed. Get as many ideas out as possible and explore different perspectives so you have the raw material for the next step.

Looking at a problem from a new angle can be one of the most effective ways of creating an effective solution. TRIZ is a problem-solving tool that asks the group to consider what they must not do in order to solve a challenge.

By reversing the discussion, new topics and taboo subjects often emerge, allowing the group to think more deeply and create ideas that confront the status quo in a safe and meaningful way. If you’re working on a problem that you’ve tried to solve before, TRIZ is a great problem-solving method to help your team get unblocked.

Making Space with TRIZ   #issue analysis   #liberating structures   #issue resolution   You can clear space for innovation by helping a group let go of what it knows (but rarely admits) limits its success and by inviting creative destruction. TRIZ makes it possible to challenge sacred cows safely and encourages heretical thinking. The question “What must we stop doing to make progress on our deepest purpose?” induces seriously fun yet very courageous conversations. Since laughter often erupts, issues that are otherwise taboo get a chance to be aired and confronted. With creative destruction come opportunities for renewal as local action and innovation rush in to fill the vacuum. Whoosh!

Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex.

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

Idea and Concept Development

Brainstorming without structure can quickly become chaotic or frustrating. In a problem-solving context, having an ideation framework to follow can help ensure your team is both creative and disciplined.

In this method, you’ll find an idea generation process that encourages your group to brainstorm effectively before developing their ideas and begin clustering them together. By using concepts such as Yes and…, more is more and postponing judgement, you can create the ideal conditions for brainstorming with ease.

Idea & Concept Development   #hyperisland   #innovation   #idea generation   Ideation and Concept Development is a process for groups to work creatively and collaboratively to generate creative ideas. It’s a general approach that can be adapted and customized to suit many different scenarios. It includes basic principles for idea generation and several steps for groups to work with. It also includes steps for idea selection and development.

Problem-solving techniques for developing and refining solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to develop and refine your ideas in order to bring them closer to a solution that actually solves the problem.

Use these problem-solving techniques when you want to help your team think through their ideas and refine them as part of your problem solving process.

Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

Ensuring that everyone in a group is able to contribute to a discussion is vital during any problem solving process. Not only does this ensure all bases are covered, but its then easier to get buy-in and accountability when people have been able to contribute to the process.

1-2-4-All is a tried and tested facilitation technique where participants are asked to first brainstorm on a topic on their own. Next, they discuss and share ideas in a pair before moving into a small group. Those groups are then asked to present the best idea from their discussion to the rest of the team.

This method can be used in many different contexts effectively, though I find it particularly shines in the idea development stage of the process. Giving each participant time to concretize their ideas and develop them in progressively larger groups can create a great space for both innovation and psychological safety.

1-2-4-All   #idea generation   #liberating structures   #issue analysis   With this facilitation technique you can immediately include everyone regardless of how large the group is. You can generate better ideas and more of them faster than ever before. You can tap the know-how and imagination that is distributed widely in places not known in advance. Open, generative conversation unfolds. Ideas and solutions are sifted in rapid fashion. Most importantly, participants own the ideas, so follow-up and implementation is simplified. No buy-in strategies needed! Simple and elegant!

15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

Problem-solving techniques for making decisions and planning

After your group is happy with the possible solutions you’ve developed, now comes the time to choose which to implement. There’s more than one way to make a decision and the best option is often dependant on the needs and set-up of your group.

Sometimes, it’s the case that you’ll want to vote as a group on what is likely to be the most impactful solution. Other times, it might be down to a decision maker or major stakeholder to make the final decision. Whatever your process, here’s some techniques you can use to help you make a decision during your problem solving process.

How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

Straddling the gap between decision making and planning, MoSCoW is a simple and effective method that allows a group team to easily prioritize a set of possible options.

Use this method in a problem solving process by collecting and summarizing all your possible solutions and then categorize them into 4 sections: “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”.

This method is particularly useful when its less about choosing one possible solution and more about prioritorizing which to do first and which may not fit in the scope of your project. In my experience, complex challenges often require multiple small fixes, and this method can be a great way to move from a pile of things you’d all like to do to a structured plan.

MoSCoW   #define intentions   #create   #design   #action   #remote-friendly   MoSCoW is a method that allows the team to prioritize the different features that they will work on. Features are then categorized into “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”. To be used at the beginning of a timeslot (for example during Sprint planning) and when planning is needed.

When it comes to managing the rollout of a solution, clarity and accountability are key factors in ensuring the success of the project. The RAACI chart is a simple but effective model for setting roles and responsibilities as part of a planning session.

Start by listing each person involved in the project and put them into the following groups in order to make it clear who is responsible for what during the rollout of your solution.

• Responsibility  (Which person and/or team will be taking action?)
• Authority  (At what “point” must the responsible person check in before going further?)
• Accountability  (Who must the responsible person check in with?)
• Consultation  (Who must be consulted by the responsible person before decisions are made?)
• Information  (Who must be informed of decisions, once made?)

Ensure this information is easily accessible and use it to inform who does what and who is looped into discussions and kept up to date.

RAACI   #roles and responsibility   #teamwork   #project management   Clarifying roles and responsibilities, levels of autonomy/latitude in decision making, and levels of engagement among diverse stakeholders.

Problem-solving warm-up activities

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process. Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute.

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start.

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems.

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Closing activities for a problem-solving process

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Tips for effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Create psychologically safe spaces for discussion

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner.

It can be tough for people to stand up and contribute if the problems or challenges are emotive or personal in nature. Try and create a psychologically safe space for these kinds of discussions and where possible, create regular opportunities for challenges to be brought up organically.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

Save time and effort creating an effective problem solving process

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

James Smart is Head of Content at SessionLab. He’s also a creative facilitator who has run workshops and designed courses for establishments like the National Centre for Writing, UK. He especially enjoys working with young people and empowering others in their creative practice.

thank you very much for these excellent techniques

Certainly wonderful article, very detailed. Shared!

Your list of techniques for problem solving can be helpfully extended by adding TRIZ to the list of techniques. TRIZ has 40 problem solving techniques derived from methods inventros and patent holders used to get new patents. About 10-12 are general approaches. many organization sponsor classes in TRIZ that are used to solve business problems or general organiztational problems. You can take a look at TRIZ and dwonload a free internet booklet to see if you feel it shound be included per your selection process.

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Simple Guide to Problem-Solving Method of Teaching

You must be interested to know – What is the problem-solving method of teaching and how it works. We’ve explained its core principles, six-step process, and benefits with real-world examples.

Understand the Problem-Solving Method of Teaching

The basis of this modern teaching approach is to provide students with opportunities to face real-time challenges. It aims to help them understand how the concept behind a solution works in reality.

What is the Problem-Solving Method of Teaching?

The problem-solving method of teaching is a student-centered approach to learning that focuses on developing students’ problem-solving skills. In this method, students have to face real-world problems to solve.

They are encouraged to use their knowledge and skills to provide solutions. The teacher acts as a facilitator, providing guidance and support as needed, but ultimately the students are responsible for finding their solutions.

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5 Most Important Benefits of Problem-Solving Method of Teaching

The new way of teaching primarily helps students develop critical thinking skills and real-world application abilities. It also promotes independence and self-confidence in problem-solving.

The problem-solving method of teaching has several benefits. It helps students to:

#1 Enhances critical thinking

By presenting students with real-world problems to solve, the problem-solving method of teaching forces them:

– To think critically about the situation, and – To come up with their solutions.

This process helps students develop critical thinking skills essential for success in school and life.

#2 Fosters creativity

The problem-solving method of teaching encourages students to be creative in their problem-solving approach. There is often no one right answer to a problem, so students are free to come up with their unique solutions. This process helps students think creatively, an important skill in all areas of life.

#3 Encourages real-world application

The problem-solving method of teaching helps students learn how to apply their knowledge to real-world situations. By solving real-world problems, students can see:

– How their knowledge is relevant to their lives, – And, the world around them.

This helps students to become more motivated and engaged learners.

#4 Builds student confidence

When students can successfully solve problems, they gain confidence in their abilities. This confidence is essential for success in all areas of life, both academic and personal.

#5 Promotes collaborative learning

The problem-solving method of teaching often involves students working together to solve problems. This collaborative learning process helps students to develop their teamwork skills and to learn from each other.

Know 6 Steps in the Problem-Solving Method of Teaching

Also Read: Do You Know the Difference Between ChatGPT and GPT-4?

The problem-solving method of teaching typically involves the following steps:

Step 1: Identifying the problem

The first step is problem identification which students will be working on. This requires students to do the following:

– By presenting students with a real-world problem, or – By asking them to come up with their problems.

Step 2: Understanding the problem

Once students have identified the problem, they need to understand it fully. This may involve:

– Breaking the problem down into smaller parts, or – Gathering more information about the problem.

Step 3: Generating solutions

Once students understand the problem, they need to generate possible solutions. They have to do either of the following:

– By brainstorming, or – By exercising problem-solving techniques such as root cause analysis or the decision matrix.

Step 4: Evaluating solutions

Students need to evaluate the pros and cons of each solution before choosing one to implement.

Step 5: Implementing the solution

Once students have chosen a solution, they need to implement it. This may involve taking action or developing a plan.

Step 6: Evaluating the results

Once students have implemented the solution, they must evaluate the results to see if it was successful.

If the solution fails the expectations, students should re-run step 3 and generate new solutions.

Find Out Examples of the Problem-Solving Method of Teaching

Here are a few examples of how the problem-solving method of teaching applies to different subjects:

• Math: Students face real-world problems such as budgeting for a family or designing a new product. Students would then need to use their math skills to solve the problem.
• Science: Students perform a science experiment or research on a scientific topic to invent a solution to the problem. Students should then use their science knowledge and skills to solve the problem.
• Social studies: Students analyze a historical event or current social issue and devise a solution. After that, students should exercise their social studies knowledge and skills to solve the problem.

How to Use Problem-Solving Methods of Teaching

Here are a few tips for using the problem-solving method of teaching effectively:

• Choose problems that are relevant to students’ lives and interests.
• Select those problems that are challenging but achievable.
• Provide students with ample resources such as books, websites, or experts to solve the problem.
• Motivate them to work collaboratively and to share their ideas.
• Be patient and supportive. Problem-solving can be a challenging process, but it is also a rewarding one.

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How to Choose: Let’s Draw a Comparison

The following table compares the different problem-solving methods:

Which Method is the Most Suitable?

The most suitable way of teaching will depend on many factors such as the following:

– Subject matter, – Student’s age and ability level, and – Teacher’s preferences.

However, the problem-solving method of teaching is a valuable approach. It can be used in any subject area and with students of all ages.

Here are some additional tips for using the problem-solving method of teaching effectively:

• Differentiate instruction. Not all students learn at the same pace or in the same way. Teachers can differentiate instruction to meet the needs of all learners by providing different levels of support and scaffolding.
• Use formative assessment. Formative assessment helps track students’ progress and identify areas where they need additional support. Teachers can then use this information to provide students with targeted instruction.
• Create a positive learning environment. Students need to feel safe and supported to learn effectively. Teachers can create a positive learning environment by providing students with opportunities for collaboration. They can celebrate their successes and create a classroom culture where mistakes are seen as learning opportunities.

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Some Unique Examples to Refer to Before We Conclude

Here are a few unique examples of how you incorporate the problem-solving method of teaching with different subjects:

• English: Students analyze a grammar problem, such as a poem or a short story, and share their interpretation.
• Art: Students can get a task to design a new product or to create a piece of art that addresses a social issue.
• Music: Students write a song about a current event or create a new piece of music reflecting their cultural heritage.

Before You Leave

The problem-solving method of teaching is a powerful tool that can help students develop the skills they need to succeed in school and life. By creating a learning environment where students are encouraged to think critically and solve problems, teachers can help students to become lifelong learners.

Lastly, our site needs your support to remain free. Share this post on social media ( Linkedin / Twitter ) if you gained some knowledge from this tutorial.

Enjoy learning, TechBeamers.

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Problem-Solving Strategies and Obstacles

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

Sean is a fact-checker and researcher with experience in sociology, field research, and data analytics.

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From deciding what to eat for dinner to considering whether it's the right time to buy a house, problem-solving is a large part of our daily lives. Learn some of the problem-solving strategies that exist and how to use them in real life, along with ways to overcome obstacles that are making it harder to resolve the issues you face.

What Is Problem-Solving?

In cognitive psychology , the term 'problem-solving' refers to the mental process that people go through to discover, analyze, and solve problems.

A problem exists when there is a goal that we want to achieve but the process by which we will achieve it is not obvious to us. Put another way, there is something that we want to occur in our life, yet we are not immediately certain how to make it happen.

Maybe you want a better relationship with your spouse or another family member but you're not sure how to improve it. Or you want to start a business but are unsure what steps to take. Problem-solving helps you figure out how to achieve these desires.

The problem-solving process involves:

• Discovery of the problem
• Deciding to tackle the issue
• Seeking to understand the problem more fully
• Researching available options or solutions
• Taking action to resolve the issue

Before problem-solving can occur, it is important to first understand the exact nature of the problem itself. If your understanding of the issue is faulty, your attempts to resolve it will also be incorrect or flawed.

Problem-Solving Mental Processes

Several mental processes are at work during problem-solving. Among them are:

• Perceptually recognizing the problem
• Representing the problem in memory
• Considering relevant information that applies to the problem
• Identifying different aspects of the problem
• Labeling and describing the problem

Problem-Solving Strategies

There are many ways to go about solving a problem. Some of these strategies might be used on their own, or you may decide to employ multiple approaches when working to figure out and fix a problem.

An algorithm is a step-by-step procedure that, by following certain "rules" produces a solution. Algorithms are commonly used in mathematics to solve division or multiplication problems. But they can be used in other fields as well.

In psychology, algorithms can be used to help identify individuals with a greater risk of mental health issues. For instance, research suggests that certain algorithms might help us recognize children with an elevated risk of suicide or self-harm.

One benefit of algorithms is that they guarantee an accurate answer. However, they aren't always the best approach to problem-solving, in part because detecting patterns can be incredibly time-consuming.

There are also concerns when machine learning is involved—also known as artificial intelligence (AI)—such as whether they can accurately predict human behaviors.

Heuristics are shortcut strategies that people can use to solve a problem at hand. These "rule of thumb" approaches allow you to simplify complex problems, reducing the total number of possible solutions to a more manageable set.

If you find yourself sitting in a traffic jam, for example, you may quickly consider other routes, taking one to get moving once again. When shopping for a new car, you might think back to a prior experience when negotiating got you a lower price, then employ the same tactics.

While heuristics may be helpful when facing smaller issues, major decisions shouldn't necessarily be made using a shortcut approach. Heuristics also don't guarantee an effective solution, such as when trying to drive around a traffic jam only to find yourself on an equally crowded route.

Trial and Error

A trial-and-error approach to problem-solving involves trying a number of potential solutions to a particular issue, then ruling out those that do not work. If you're not sure whether to buy a shirt in blue or green, for instance, you may try on each before deciding which one to purchase.

This can be a good strategy to use if you have a limited number of solutions available. But if there are many different choices available, narrowing down the possible options using another problem-solving technique can be helpful before attempting trial and error.

In some cases, the solution to a problem can appear as a sudden insight. You are facing an issue in a relationship or your career when, out of nowhere, the solution appears in your mind and you know exactly what to do.

Insight can occur when the problem in front of you is similar to an issue that you've dealt with in the past. Although, you may not recognize what is occurring since the underlying mental processes that lead to insight often happen outside of conscious awareness .

Research indicates that insight is most likely to occur during times when you are alone—such as when going on a walk by yourself, when you're in the shower, or when lying in bed after waking up.

How to Apply Problem-Solving Strategies in Real Life

If you're facing a problem, you can implement one or more of these strategies to find a potential solution. Here's how to use them in real life:

• Create a flow chart . If you have time, you can take advantage of the algorithm approach to problem-solving by sitting down and making a flow chart of each potential solution, its consequences, and what happens next.
• Recall your past experiences . When a problem needs to be solved fairly quickly, heuristics may be a better approach. Think back to when you faced a similar issue, then use your knowledge and experience to choose the best option possible.
• Start trying potential solutions . If your options are limited, start trying them one by one to see which solution is best for achieving your desired goal. If a particular solution doesn't work, move on to the next.
• Take some time alone . Since insight is often achieved when you're alone, carve out time to be by yourself for a while. The answer to your problem may come to you, seemingly out of the blue, if you spend some time away from others.

Obstacles to Problem-Solving

Problem-solving is not a flawless process as there are a number of obstacles that can interfere with our ability to solve a problem quickly and efficiently. These obstacles include:

• Assumptions: When dealing with a problem, people can make assumptions about the constraints and obstacles that prevent certain solutions. Thus, they may not even try some potential options.
• Functional fixedness : This term refers to the tendency to view problems only in their customary manner. Functional fixedness prevents people from fully seeing all of the different options that might be available to find a solution.
• Irrelevant or misleading information: When trying to solve a problem, it's important to distinguish between information that is relevant to the issue and irrelevant data that can lead to faulty solutions. The more complex the problem, the easier it is to focus on misleading or irrelevant information.
• Mental set: A mental set is a tendency to only use solutions that have worked in the past rather than looking for alternative ideas. A mental set can work as a heuristic, making it a useful problem-solving tool. However, mental sets can also lead to inflexibility, making it more difficult to find effective solutions.

How to Improve Your Problem-Solving Skills

In the end, if your goal is to become a better problem-solver, it's helpful to remember that this is a process. Thus, if you want to improve your problem-solving skills, following these steps can help lead you to your solution:

• Recognize that a problem exists . If you are facing a problem, there are generally signs. For instance, if you have a mental illness , you may experience excessive fear or sadness, mood changes, and changes in sleeping or eating habits. Recognizing these signs can help you realize that an issue exists.
• Decide to solve the problem . Make a conscious decision to solve the issue at hand. Commit to yourself that you will go through the steps necessary to find a solution.
• Seek to fully understand the issue . Analyze the problem you face, looking at it from all sides. If your problem is relationship-related, for instance, ask yourself how the other person may be interpreting the issue. You might also consider how your actions might be contributing to the situation.
• Research potential options . Using the problem-solving strategies mentioned, research potential solutions. Make a list of options, then consider each one individually. What are some pros and cons of taking the available routes? What would you need to do to make them happen?
• Take action . Select the best solution possible and take action. Action is one of the steps required for change . So, go through the motions needed to resolve the issue.
• Try another option, if needed . If the solution you chose didn't work, don't give up. Either go through the problem-solving process again or simply try another option.

You can find a way to solve your problems as long as you keep working toward this goal—even if the best solution is simply to let go because no other good solution exists.

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Dunbar K. Problem solving . A Companion to Cognitive Science . 2017. doi:10.1002/9781405164535.ch20

Stewart SL, Celebre A, Hirdes JP, Poss JW. Risk of suicide and self-harm in kids: The development of an algorithm to identify high-risk individuals within the children's mental health system . Child Psychiat Human Develop . 2020;51:913-924. doi:10.1007/s10578-020-00968-9

Rosenbusch H, Soldner F, Evans AM, Zeelenberg M. Supervised machine learning methods in psychology: A practical introduction with annotated R code . Soc Personal Psychol Compass . 2021;15(2):e12579. doi:10.1111/spc3.12579

Mishra S. Decision-making under risk: Integrating perspectives from biology, economics, and psychology . Personal Soc Psychol Rev . 2014;18(3):280-307. doi:10.1177/1088868314530517

Csikszentmihalyi M, Sawyer K. Creative insight: The social dimension of a solitary moment . In: The Systems Model of Creativity . 2015:73-98. doi:10.1007/978-94-017-9085-7_7

Chrysikou EG, Motyka K, Nigro C, Yang SI, Thompson-Schill SL. Functional fixedness in creative thinking tasks depends on stimulus modality .  Psychol Aesthet Creat Arts . 2016;10(4):425‐435. doi:10.1037/aca0000050

Huang F, Tang S, Hu Z. Unconditional perseveration of the short-term mental set in chunk decomposition .  Front Psychol . 2018;9:2568. doi:10.3389/fpsyg.2018.02568

National Alliance on Mental Illness. Warning signs and symptoms .

Mayer RE. Thinking, problem solving, cognition, 2nd ed .

Schooler JW, Ohlsson S, Brooks K. Thoughts beyond words: When language overshadows insight. J Experiment Psychol: General . 1993;122:166-183. doi:10.1037/0096-3445.2.166

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

Teaching Problem-Solving Skills

Many instructors design opportunities for students to solve “problems”. But are their students solving true problems or merely participating in practice exercises? The former stresses critical thinking and decision­ making skills whereas the latter requires only the application of previously learned procedures.

Problem solving is often broadly defined as "the ability to understand the environment, identify complex problems, review related information to develop, evaluate strategies and implement solutions to build the desired outcome" (Fissore, C. et al, 2021). True problem solving is the process of applying a method – not known in advance – to a problem that is subject to a specific set of conditions and that the problem solver has not seen before, in order to obtain a satisfactory solution.

Below you will find some basic principles for teaching problem solving and one model to implement in your classroom teaching.

Principles for teaching problem solving

• Model a useful problem-solving method . Problem solving can be difficult and sometimes tedious. Show students how to be patient and persistent, and how to follow a structured method, such as Woods’ model described below. Articulate your method as you use it so students see the connections.
• Teach within a specific context . Teach problem-solving skills in the context in which they will be used by students (e.g., mole fraction calculations in a chemistry course). Use real-life problems in explanations, examples, and exams. Do not teach problem solving as an independent, abstract skill.
• Help students understand the problem . In order to solve problems, students need to define the end goal. This step is crucial to successful learning of problem-solving skills. If you succeed at helping students answer the questions “what?” and “why?”, finding the answer to “how?” will be easier.
• Take enough time . When planning a lecture/tutorial, budget enough time for: understanding the problem and defining the goal (both individually and as a class); dealing with questions from you and your students; making, finding, and fixing mistakes; and solving entire problems in a single session.
• Ask questions and make suggestions . Ask students to predict “what would happen if …” or explain why something happened. This will help them to develop analytical and deductive thinking skills. Also, ask questions and make suggestions about strategies to encourage students to reflect on the problem-solving strategies that they use.
• Link errors to misconceptions . Use errors as evidence of misconceptions, not carelessness or random guessing. Make an effort to isolate the misconception and correct it, then teach students to do this by themselves. We can all learn from mistakes.

Woods’ problem-solving model

Define the problem.

• The system . Have students identify the system under study (e.g., a metal bridge subject to certain forces) by interpreting the information provided in the problem statement. Drawing a diagram is a great way to do this.
• Known(s) and concepts . List what is known about the problem, and identify the knowledge needed to understand (and eventually) solve it.
• Unknown(s) . Once you have a list of knowns, identifying the unknown(s) becomes simpler. One unknown is generally the answer to the problem, but there may be other unknowns. Be sure that students understand what they are expected to find.
• Units and symbols . One key aspect in problem solving is teaching students how to select, interpret, and use units and symbols. Emphasize the use of units whenever applicable. Develop a habit of using appropriate units and symbols yourself at all times.
• Constraints . All problems have some stated or implied constraints. Teach students to look for the words "only", "must", "neglect", or "assume" to help identify the constraints.
• Criteria for success . Help students consider, from the beginning, what a logical type of answer would be. What characteristics will it possess? For example, a quantitative problem will require an answer in some form of numerical units (e.g., $/kg product, square cm, etc.) while an optimization problem requires an answer in the form of either a numerical maximum or minimum.

Think about it

• “Let it simmer”.  Use this stage to ponder the problem. Ideally, students will develop a mental image of the problem at hand during this stage.
• Identify specific pieces of knowledge . Students need to determine by themselves the required background knowledge from illustrations, examples and problems covered in the course.
• Collect information . Encourage students to collect pertinent information such as conversion factors, constants, and tables needed to solve the problem.

Plan a solution

• Consider possible strategies . Often, the type of solution will be determined by the type of problem. Some common problem-solving strategies are: compute; simplify; use an equation; make a model, diagram, table, or chart; or work backwards.
• Choose the best strategy . Help students to choose the best strategy by reminding them again what they are required to find or calculate.

Carry out the plan

• Be patient . Most problems are not solved quickly or on the first attempt. In other cases, executing the solution may be the easiest step.
• Be persistent . If a plan does not work immediately, do not let students get discouraged. Encourage them to try a different strategy and keep trying.

Encourage students to reflect. Once a solution has been reached, students should ask themselves the following questions:

• Does the answer make sense?
• Does it fit with the criteria established in step 1?
• Did I answer the question(s)?
• What did I learn by doing this?
• Could I have done the problem another way?

If you would like support applying these tips to your own teaching, CTE staff members are here to help.  View the  CTE Support  page to find the most relevant staff member to contact. 

• Fissore, C., Marchisio, M., Roman, F., & Sacchet, M. (2021). Development of problem solving skills with Maple in higher education. In: Corless, R.M., Gerhard, J., Kotsireas, I.S. (eds) Maple in Mathematics Education and Research. MC 2020. Communications in Computer and Information Science, vol 1414. Springer, Cham. https://doi.org/10.1007/978-3-030-81698-8_15
• Foshay, R., & Kirkley, J. (1998). Principles for Teaching Problem Solving. TRO Learning Inc., Edina MN.  (PDF) Principles for Teaching Problem Solving (researchgate.net)
• Hayes, J.R. (1989). The Complete Problem Solver. 2nd Edition. Hillsdale, NJ: Lawrence Erlbaum Associates.
• Woods, D.R., Wright, J.D., Hoffman, T.W., Swartman, R.K., Doig, I.D. (1975). Teaching Problem solving Skills.
• Engineering Education. Vol 1, No. 1. p. 238. Washington, DC: The American Society for Engineering Education.

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What is Problem Solving?

Quality Glossary Definition: Problem solving

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

• The problem-solving process
• Problem solving resources

Problem Solving Chart

The Problem-Solving Process

In order to effectively manage and run a successful organization, leadership must guide their employees and develop problem-solving techniques. Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below.

1. Define the problem

Diagnose the situation so that your focus is on the problem, not just its symptoms. Helpful problem-solving techniques include using flowcharts to identify the expected steps of a process and cause-and-effect diagrams to define and analyze root causes .

The sections below help explain key problem-solving steps. These steps support the involvement of interested parties, the use of factual information, comparison of expectations to reality, and a focus on root causes of a problem. You should begin by:

• Reviewing and documenting how processes currently work (i.e., who does what, with what information, using what tools, communicating with what organizations and individuals, in what time frame, using what format).
• Evaluating the possible impact of new tools and revised policies in the development of your "what should be" model.

2. Generate alternative solutions

Postpone the selection of one solution until several problem-solving alternatives have been proposed. Considering multiple alternatives can significantly enhance the value of your ideal solution. Once you have decided on the "what should be" model, this target standard becomes the basis for developing a road map for investigating alternatives. Brainstorming and team problem-solving techniques are both useful tools in this stage of problem solving.

Many alternative solutions to the problem should be generated before final evaluation. A common mistake in problem solving is that alternatives are evaluated as they are proposed, so the first acceptable solution is chosen, even if it’s not the best fit. If we focus on trying to get the results we want, we miss the potential for learning something new that will allow for real improvement in the problem-solving process.

3. Evaluate and select an alternative

Skilled problem solvers use a series of considerations when selecting the best alternative. They consider the extent to which:

• A particular alternative will solve the problem without causing other unanticipated problems.
• All the individuals involved will accept the alternative.
• Implementation of the alternative is likely.
• The alternative fits within the organizational constraints.

4. Implement and follow up on the solution

Leaders may be called upon to direct others to implement the solution, "sell" the solution, or facilitate the implementation with the help of others. Involving others in the implementation is an effective way to gain buy-in and support and minimize resistance to subsequent changes.

Regardless of how the solution is rolled out, feedback channels should be built into the implementation. This allows for continuous monitoring and testing of actual events against expectations. Problem solving, and the techniques used to gain clarity, are most effective if the solution remains in place and is updated to respond to future changes.

You can also search articles , case studies , and publications  for problem solving resources.

Innovative Business Management Using TRIZ

Introduction To 8D Problem Solving: Including Practical Applications and Examples

The Quality Toolbox

Root Cause Analysis: The Core of Problem Solving and Corrective Action

One Good Idea: Some Sage Advice ( Quality Progress ) The person with the problem just wants it to go away quickly, and the problem-solvers also want to resolve it in as little time as possible because they have other responsibilities. Whatever the urgency, effective problem-solvers have the self-discipline to develop a complete description of the problem.

Diagnostic Quality Problem Solving: A Conceptual Framework And Six Strategies  ( Quality Management Journal ) This paper contributes a conceptual framework for the generic process of diagnosis in quality problem solving by identifying its activities and how they are related.

Weathering The Storm ( Quality Progress ) Even in the most contentious circumstances, this approach describes how to sustain customer-supplier relationships during high-stakes problem solving situations to actually enhance customer-supplier relationships.

The Right Questions ( Quality Progress ) All problem solving begins with a problem description. Make the most of problem solving by asking effective questions.

Solving the Problem ( Quality Progress ) Brush up on your problem-solving skills and address the primary issues with these seven methods.

Refreshing Louisville Metro’s Problem-Solving System  ( Journal for Quality and Participation ) Organization-wide transformation can be tricky, especially when it comes to sustaining any progress made over time. In Louisville Metro, a government organization based in Kentucky, many strategies were used to enact and sustain meaningful transformation.

Certification

Quality Improvement Associate Certification--CQIA

Certified Quality Improvement Associate Question Bank

Lean Problem-Solving Tools

Problem Solving Using A3

NEW   Root Cause Analysis E-Learning

Quality 101

Making the Connection In this exclusive QP webcast, Jack ReVelle, ASQ Fellow and author, shares how quality tools can be combined to create a powerful problem-solving force.

Adapted from The Executive Guide to Improvement and Change , ASQ Quality Press.

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36 Problem-solving techniques, methods and tools

When it comes to solving problems, getting ideas is the easy part. 

But businesses often forget the other four stages of the problem-solving process that will allow them to find the best solution.

Instead of jumping straight to idea generation, your problem-solving framework should look like this:

• Identify the problem
• Reveal why it has occurred
• Brainstorm ideas
• Select the best solution

See how idea generation doesn’t appear until stage 3?!

In this extensive resource, we provide techniques, methodologies and tools to guide you through every stage of the problem-solving process.

Once you’ve finished reading, you’ll possess an extensive problem-solving arsenal that will enable you to overcome your biggest workplace challenges.

11 Problem-solving techniques for clarity and confidence

Before we dive into more comprehensive methodologies for solving problems, there are a few basic techniques you should know. 

The following techniques will set you up for a successful problem-solving session with your team, allowing you to take on your biggest challenges with clarity and confidence. ‍

1. Take a moment, take a breath

When a problem or challenge arises, it’s normal to act too quickly or rely on solutions that have worked well in the past. This is known as entrenched thinking.

But acting impulsively, without prior consideration or planning, can cause you to misunderstand the issue and overlook possible solutions to the problem.

Therefore, the first thing you should always do when you encounter a problem is: breathe in and out.

Take a step back and make a clear plan of action before you act. This will help you to take rational steps towards solving a problem. ‍

2. Ask questions to understand the full extent of the issue

Another common mistake people make when attempting to solve a problem is taking action before fully understanding the problem.

Before committing to a theory, ask enough questions to unearth the true root of the issue. 

Later in this article, we cover The 5 Why’s problem-solving methodology which you can use to easily identify the root of your problem. Give this a go at your next meeting and see how your initial understanding of a problem can often be wrong. ‍

3. Consider alternative perspectives

A common problem-solving issue is that of myopia—a narrow-minded view or perception of the problem. Myopia can occur when you’re too involved with the problem or your team isn’t diverse enough.

To give yourself the best chance of resolving a problem, gain insight from a wide range of sources. Collaborate with key stakeholders, customers and on-the-ground employees to learn how the problem affects them and whether they have found workarounds or solutions.

To paint the broadest picture, don’t limit your problem-solving team to a specific archetype. Try to include everyone, from the chief executive to the office janitor.

If you’re working with a small team, try the Flip It! problem-solving methodology to view the issue from a fresh angle. ‍

4. Make your office space conducive to problem-solving

The environment in which your host your brainstorming sessions should maximise creativity . When your team members trust each other and feel relaxed, they’re more likely to come up with innovative ideas and solutions to a problem.

Here are a few ways to get your employees’ creative juices flowing:

• Play team-building games that maximise trust and build interpersonal relationships
• Improve your team’s problem-solving skills with games that encourage critical thinking
• Redesign the office with comfortable furniture and collaborative spaces
• Boost job satisfaction by creating a positive work-life balance
• Improve collaborative skills and learn to resolve conflicts

World Café is a problem-solving method that creates a casual environment conducive to creative thinking. 

Keep reading to learn more about how World Café can help your team solve complex organisational problems. ‍

5. Use problem-solving methodologies to guide the process

Because problem-solving is a creative process, it can be hard to keep it on track. As more ideas get banded around, conflicts can arise that derail the session.

That’s why problem-solving methodologies are so helpful. They offer you proven problem-solving frameworks to guide your group sessions and keep them on track.

The Six Thinking Hats problem-solving method is a popular technique that guides the process and helps your team analyse a problem from all angles.

We’re going to take a look at our favourite problem-solving methodologies in the next section of this article, XY Tried and tested problem-solving methodologies. ‍

6. Use analogies to solve complex problems

Sometimes, solving a different problem can help you uncover solutions to another problem! 

By stripping back a complex issue and framing it as a simplified analogy , you approach a problem from a different angle, enabling you to come up with alternative ideas.

After solving practice problems, your team might be more aptly equipped to solve real-world issues.

However, coming up with an analogy that reflects your issue can be difficult, so don’t worry if this technique doesn’t work for you.

The Speed Boat diagram is a visual tool that helps your employees view existing challenges as anchors holding back a boat which represents your end goals. By assigning a “weight” to each anchor, your team can prioritise which issues to tackle first. ‍

7. Establish clear constraints

Constraints make a big problem more approachable. 

Before you tackle a problem, establish clear boundaries and codes of conduct for the session. This allows your team to focus on the current issue without becoming distracted or veering off on a tangent.

In an article published in the Harvard Business Review, authors Oguz A. Acar, Murat Tarakci, and Daan van Knippenberg wrote, “Constraints … provide focus and a creative challenge that motivates people to search for and connect information from different sources to generate novel ideas for new products, services, or business processes.” (Why Constraints Are Good for Innovation, 2019)

Lightning Decision Jam is a prime example of how constraints can assist the creative process. Here, your team are given strict time constraints and isn’t permitted to discuss ideas until the end. ‍

8. Dislodge preconceived ideas

Humans are creatures of habit. 

We defer to strategies that have produced positive results in the past. This is typically beneficial because recalling our previous successes means we don’t need to constantly re-learn similar tasks.

But when it comes to problem-solving, this way of thinking can trip us up. We become fixated on a solution that worked in the past, but when this fails we’re dismayed and left wondering what to do next.

To resolve problems effectively, your employees need to escape the precincts of their imaginations. This helps to eliminate functional fixedness—the belief that an item serves only its predefined function.

Alternative Application is an icebreaker game that encourages employees to think outside the box by coming up with different uses for everyday objects. Try this at your next meeting or team-building event and watch your team tap into their creativity. ‍

9. Level the playing field

Having a diverse group of employees at your brainstorming sessions is a good idea, but there’s one problem: the extroverted members of your team will be more vocal than the introverts.

To ensure you’re gaining insight from every member of your team, you need to give your quieter employees equal opportunities to contribute by eliminating personality biases.

Read more: What icebreaker games and questions work best for introverts?

The obvious solution, then, is to “silence” the louder participants (it’s not as sinister as it sounds, promise)—all you have to do is ban your team from debating suggestions during the ideation process. 

The Lightning Decision Jam methodology gives your employees equal opportunities to contribute because much of the problem-solving process is carried out in silence. ‍

10. Take a break from the problem

Have you ever noticed how the best ideas seem to come when you’re not actively working on a problem? You may have spent hours slumped over your desk hashing out a solution, only for the “eureka!” moment to come when you’re walking your dog or taking a shower.

In James Webb Young’s book, A Technique for Producing Ideas , phase three of the process is “stepping away from the problem.” Young proclaims that after putting in the hard work, the information needs to ferment in the mind before any plausible ideas come to you.

So next time you’re in a meeting with your team trying to solve a problem, don’t panic if you don’t uncover groundbreaking ideas there and then. Allow everybody to mull over what they’ve learned, then reconvene at a later date.

The Creativity Dice methodology is a quick-fire brainstorming game that allows your team to incubate ideas while concentrating on another. ‍

11. Limit feedback sessions

The way your team delivers feedback at the end of a successful brainstorming session is critical. Left unsupervised, excessive feedback can undo all of your hard work.

Therefore, it’s wise to put a cap on the amount of feedback your team can provide. One great way of doing this is by using the One Breath Feedback technique.

By limiting your employees to one breath, they’re taught to be concise with their final comments. 

16 Tried and tested problem-solving methodologies

Problem-solving methodologies keep your brainstorming session on track and encourage your team to consider all angles of the issue.

Countless methods have wiggled their way into the world of business, each one with a unique strategy and end goal.

Here are 12 of our favourite problem-solving methodologies that will help you find the best-fit solution to your troubles. ‍

12. Six Thinking Hats

Six Thinking Hats is a methodical problem-solving framework that helps your group consider all possible problems, causes, solutions and repercussions by assigning a different coloured hat to each stage of the problem-solving process.

The roles of each hat are as follows:

• Blue Hat (Control): This hat controls the session and dictates the order in which the hats will be worn. When wearing the Blue Hat, your group will observe possible solutions, draw conclusions and define a plan of action.
• Green Hat (Idea Generation): The Green Hat signifies creativity. At this stage of the methodology, your team will focus their efforts on generating ideas, imagining solutions and considering alternatives.
• Red Hat (Intuition and Feelings): It’s time for your employees to communicate their feelings. Here, your team listen to their guts and convey their emotional impulses without justification. 
• Yellow Hat (Benefits and Values): What are the merits of each idea that has been put forward thus far? What positive impacts could they have?
• Black or Grey Hat (Caution): What are the potential risks or shortcomings of each idea? What negative impacts could result from implicating each idea?
• White Hat (Information and Data): While wearing The White Hat, your team must determine what information is needed and from where it can be obtained.

For Six Thinking Hats to work effectively, ensure your team acts within the confines of each role. 

While wearing The Yellow Hat, for example, your team should only discuss the positives . Any negative implications should be left for the Black or Grey hat.

Note: Feel free to alter the hat colours to align with your cultural context. ‍

13. Lightning Decision Jam (LDJ)

Lightning Decision Jam is a nine-stage problem-solving process designed to uncover a variety of perspectives while keeping the session on track.

The process starts by defining a general topic like the internal design process, interdepartmental communication, the sales funnel, etc.

Then, armed with pens and post-it notes, your team will work through the nine stages in the following order:

• Write problems (7 minutes)
• Present problems (4 minutes/person)
• Select problems (6 minutes)
• Reframe the problems (6 minutes)
• Offer solutions (7 minutes)
• Vote on solutions (10 minutes)
• Prioritise solutions (30 seconds)
• Decide what to execute (10 minutes)
• Create task lists (5 minutes)

The philosophy behind LDJ is that of constraint. By limiting discussion, employees can focus on compiling ideas and coming to democratic decisions that benefit the company without being distracted or going off on a tangent. ‍

14. The 5 Why’s

Root Cause Analysis (RCA) is the process of unearthing a problem and finding the underlying cause. To help you through this process, you can use The 5 Why’s methodology.

The idea is to ask why you’re experiencing a problem, reframe the problem based on the answer, and then ask “ why?” again. If you do this five times , you should come pretty close to the root of your original challenge.

While this might not be a comprehensive end-to-end methodology, it certainly helps you to pin down your core challenges. ‍

15. World Café

If you’ve had enough of uninspiring corporate boardrooms, World Café is the solution. 

This problem-solving strategy facilitates casual conversations around given topics, enabling players to speak more openly about their grievances without the pressure of a large group.

Here’s how to do it:

• Create a cosy cafe-style setting (try to have at least five or six chairs per table).
• As a group, decide on a core problem and mark this as the session topic.
• Divide your group into smaller teams by arranging five or six players at a table.
• Assign each group a question that pertains to the session topic, or decide on one question for all groups to discuss at once.
• Give the groups about 20 minutes to casually talk over each question.
• Repeat this with about three or four different questions, making sure to write down key insights from each group.
• Share the insights with the whole group.

World Café is a useful way of uncovering hidden causes and pitfalls by having multiple simultaneous conversations about a given topic. ‍

16. Discovery and Action Dialogue (DAD)

Discovery and Actions Dialogues are a collaborative method for employees to share and adopt personal behaviours in response to a problem. 

This crowdsourcing approach provides insight into how a problem affects individuals throughout your company and whether some are better equipped than others.

A DAD session is guided by a facilitator who asks seven open-ended questions in succession. Each person is given equal time to participate while a recorder takes down notes and valuable insights. 

This is a particularly effective method for uncovering preexisting ideas, behaviours and solutions from the people who face problems daily. ‍

17. Design Sprint 2.0

The Design Sprint 2.0 model by Jake Knapp helps your team to focus on finding, developing measuring a solution within four days . Because theorising is all well and good, but sometimes you can learn more by getting an idea off the ground and observing how it plays out in the real world.

Here’s the basic problem-solving framework:

• Day 1: Map out or sketch possible solutions
• Day 2: Choose the best solutions and storyboard your strategy going forward
• Day 3: Create a living, breathing prototype
• Day 4: Test and record how it performs in the real world

This technique is great for testing the viability of new products or expanding and fixing the features of an existing product. ‍

18. Open Space Technology

Open Space Technology is a method for large groups to create a problem-solving agenda around a central theme. It works best when your group is comprised of subject-matter experts and experienced individuals with a sufficient stake in the problem.

Open Space Technology works like this:

• Establish a core theme for your team to centralise their efforts.
• Ask the participants to consider their approach and write it on a post-it note.
• Everybody writes a time and place for discussion on their note and sticks it to the wall.
• The group is then invited to join the sessions that most interest them.
• Everybody joins and contributes to their chosen sessions
• Any significant insights and outcomes are recorded and presented to the group.

This methodology grants autonomy to your team and encourages them to take ownership of the problem-solving process. ‍

19. Round-Robin Brainstorming Technique

While not an end-to-end problem-solving methodology, the Round-Robin Brainstorming Technique is an effective way of squeezing every last ounce of creativity from your ideation sessions.

Here’s how it works:

• Decide on a problem that needs to be solved
• Sitting in a circle, give each employee a chance to offer an idea
• Have somebody write down each idea as they come up
• Participants can pass if they don’t have anything to contribute
• The brainstorming session ends once everybody has passed

Once you’ve compiled a long list of ideas, it’s up to you how you move forward. You could, for example, borrow techniques from other methodologies, such as the “vote on solutions” phase of the Lightning Decision Jam. ‍

20. Failure Modes and Effects Analysis (FMEA)

Failure Modes and Effects Analysis is a method for preventing and mitigating problems within your business processes.

This technique starts by examining the process in question and asking, “What could go wrong?” From here, your team starts to brainstorm a list of potential failures.

Then, going through the list one by one, ask your participants, “Why would this failure happen?” 

Once you’ve answered this question for each list item, ask yourselves, “What would the consequences be of this failure?”

This proactive method focuses on prevention rather than treatment. Instead of waiting for a problem to occur and reacting, you’re actively searching for future shortcomings. ‍

21. Flip It!

The Flip It! Methodology teaches your team to view their concerns in a different light and frame them instead as catalysts for positive change.

The game works like this:

• Select a topic your employees are likely to be concerned about, like market demand for your product or friction between departments.
• Give each participant a pile of sticky notes and ask them to write down all their fears about the topic.
• Take the fears and stick them to an area of the wall marked “fears.”
• Then, encourage your team to look at these fears and ask them to reframe them as “hope” by writing new statements on different sticky notes.
• Take these “hope” statements and stick them to an area of the wall marked “hope.”
• Discuss the statements, then ask them to vote on the areas they feel they can start to take action on. They can do this by drawing a dot on the corner of the sticky note.
• Move the notes with the most votes to a new area of the wall marked “traction.”
• Discuss the most popular statements as a group and brainstorm actionable items related to each.
• Write down the actions that need to be made and discuss them again as a group.

This brainstorming approach teaches your employees the danger of engrained thinking and helps them to reframe their fears as opportunities. ‍

22. The Creativity Dice

The Creativity Dice teaches your team to incubate ideas as they focus on different aspects of a problem. As we mentioned earlier in the article, giving ideas time to mature can be a highly effective problem-solving strategy. Here’s how the game works:

Choose a topic to focus on, It can be as specific or open-ended as you like. Write this down as a word or sentence. Roll the die, start a timer of three minutes and start writing down ideas within the confines of what that number resembles. The roles of each number are as follows:

• Specification: Write down goals you want to achieve.
• Investigation: Write down existing factual information you know about the topic.
• Ideation: Write down creative or practical ideas related to the topic.
• Incubation: Do something else unrelated to the problem.
• Iteration: Look at what you’ve already written and come up with related ideas (roll again if you didn’t write anything yet). ‍
• Integration: Look at everything you have written and try to create something cohesive from your ideas like a potential new product or actionable next step.

Once you’ve finished the activity, review your findings and decide what you want to take with you. ‍

23. SWOT Analysis

The SWOT Analysis is a long-standing method for analysing the current state of your business and considering how this affects the desired end state.

The basic idea is this:

• Before the meeting, come up with a “Desired end state” and draw a picture that represents this on a flipchart or whiteboard.
• Divide a large piece of paper into quadrants marked “Strengths”, “Weaknesses”, “Opportunities” and “Threats.”
• Starting with “Strengths”, work through the quadrants, coming up with ideas that relate to the desired end state.
• Ask your team to vote for the statements or ideas of each category that they feel are most relevant to the desired end state.
• As a group, discuss the implications that these statements have on the desired end state. Spark debate by asking thought-provoking and open-ended questions.

The SWOT Analysis is an intuitive method for understanding which parts of your business could be affecting your long-term goals. ‍

24. The Journalistic Six

When learning to cover every aspect of a story, journalists are taught to ask themselves six essential questions:  

Now, this approach has been adopted by organisations to help understand every angle of a problem. All you need is a clear focus question, then you can start working through the six questions with your team until you have a 360-degree view of what has, can and needs to be done. ‍

25. Gamestorming

Gamestorming is a one-stop creative-thinking framework that uses various games to help your team come up with innovative ideas.

Originally published as a book 10 years ago, Gamestorming contained a selection of creative games used by Silicon Valley’s top-performing businesses to develop groundbreaking products and services.

This collection of resources, plucked from the minds of founders and CEOs like Jeff Bezos and Steve Jobs, allows you to tap into the potentially genius ideas lying dormant in the minds of your employees. ‍

26. Four-Step Sketch

The Four-Step Sketch is a visual brainstorming that provides an alternative to traditional discussion-based ideation techniques .

This methodology requires prior discussion to clarify the purpose of the activity. Imagine you’re on a startup retreat , for example, and your team is taking part in a design sprint or hackathon.

Once you’ve brainstormed a list of ideas with your team, participants can look at the suggestions and take down any relevant notes. They then take these notes and turn them into rough sketches that resemble the idea.

Then, as a warm-up, give each participant eight minutes to produce eight alternative sketches (eight minutes per sketch) of the idea. These ideas are not to be shared with the group.

Finally, participants create new sketches based on their favourite ideas and share them with the group. The group can then vote on the ideas they think offer the best solution. ‍

27. 15% Solutions

15% Solutions is a problem-solving strategy for motivating and inspiring your employees. By encouraging your team to gain small victories, you pave the way for bigger changes.

First, ask your participants to think about things they can personally do within the confines of their role.

Then, arrange your team into small groups of three to four and give them time to share their ideas and consult with each other.

This simple problem-solving process removes negativity and powerlessness and teaches your team to take responsibility for change. 

9 Problem-solving tools for gathering and selecting ideas

Problem-solving tools support your meeting with easy-to-use graphs, visualisations and techniques.  

By implementing a problem-solving tool, you break the cycle of mundane verbal discussion, enabling you to maintain engagement throughout the session. ‍

28. Fishbone Diagram

The Fishbone Diagram (otherwise known as the Ishikawa Diagram or Cause and Effect Diagram), is a tool for identifying the leading causes of a problem. You can then consolidate these causes into a comprehensive “Problem Statement.”

The term “Fishbone Diagram” is derived from the diagram’s structure. The problem itself forms the tail, possible causes radiate from the sides to form the fish skeleton while the final “Problem Statement” appears as the “head” of the fish.

Example: A fast-food chain is investigating the declining quality of their food. As the team brainstorms potential causes, they come up with reasons like “poorly trained personnel”, “lack of quality control”, and “incorrect quantity of spices.” Together with other causes, the group summarises that these problems lead to “bad burgers.” They write this as the Problem Statement and set about eliminating the main contributing factors. ‍

29. The Problem Tree

A Problem Tree is a useful tool for assessing the importance or relevance of challenges concerning the core topic. If you’re launching a new product, for example, gather your team and brainstorm the current issues, roadblocks and bottlenecks that are hindering the process.

Then, work together to decide which of these are most pressing. Place the most relevant issues closer to the core topic and less relevant issues farther away. ‍

30. SQUID Diagram

The Squid Diagram is an easy-to-use tool that charts the progress of ideas and business developments as they unfold. Your SQUID Diagram can remain on a wall for your team to add to over time.

• Write down a core theme on a sticky note such as “customer service” or “Innovation”—this will be the “head” of your SQUID.
• Hand two sets of different coloured sticky notes to your participants and choose one colour to represent “questions” and the other to represent “answers.”
• Ask your team to write down questions pertaining to the success of the main topic. In the case of “Innovation,” your team might write things like “How can we improve collaboration between key stakeholders?”
• Then, using the other coloured sticky notes, ask your team to write down possible answers to these questions. In the example above, this might be “Invest in open innovation software.”
• Over time, you’ll develop a spawling SQUID Diagram that reflects the creative problem-solving process. ‍

31. The Speed Boat

The Speed Boat Diagram is a visual metaphor used to help your team identify and solve problems in the way of your goals.

Here’s how it works: 

• Draw a picture of a boat and name it after the core objective.
• With your team, brainstorm things that are slowing progress and draw each one as an anchor beneath the boat.
• Discuss possible solutions to each problem on the diagram.

This is an easy-to-use tool that sparks creative solutions. If you like, your team can assign a “weight” to each anchor which determines the impact each problem has on the end goal. ‍

32. The LEGO Challenge

LEGO is an excellent creative-thinking and problem-solving tool used regularly by event facilitators to help teams overcome challenges. 

In our article 5 and 10-minute Team-Building Activities , we introduce Sneak a Peek —a collaborative team-building game that develops communication and leadership skills. ‍

33. The Three W’s: What? So What? Now What?

Teams aren’t always aligned when it comes to their understanding of a problem. While the problem remains the same for everyone, they might have differing opinions as to how it occurred at the implications it had.

Asking “ What? So What? Now What?” Helps you to understand different perspectives around a problem.

It goes like this:

• Alone or in small groups, ask your employees to consider and write What happened. This should take between five and 10 minutes.
• Then ask So What? What occurred because of this? Why was what happened important? What might happen if this issue is left unresolved?
• Finally, ask your team Now What? What might be a solution to the problem? What actions do you need to take to avoid this happening again?

This approach helps your team understand how problems affect individuals in different ways and uncovers a variety of ways to overcome them. ‍

34. Now-How-Wow Matrix

Gathering ideas is easy—but selecting the best ones? That’s a different story. 

If you’ve got a bunch of ideas, try the Now-How-Wow Matrix to help you identify which ones you should implement now and which ones should wait until later.

Simply draw a two-axis graph with “implementation difficulty” on the Y axis and “idea originality” on the X axis. Divide this graph into quadrants and write “Now!” in the bottom left panel, “Wow!” in the bottom right panel, and “How?” in the top right panel. You can leave the top left panel blank.

Then, take your ideas and plot them on the graph depending on their implementation difficulty and level of originality.

By the end, you’ll have a clearer picture of which ideas to ignore, which ones to implement now, and which ones to add to the pipeline for the future. ‍

35. Impact-Effort Matrix

The Impact-Effort Matrix is a variation of the Now-How-Wow Matrix where the Y axis is marked “Impact” and the X axis is marked “Effort.”

Then, divide the graph into quadrants and plot your ideas. 

• Top left section = Excellent, implement immediately
• Top right section = Risky, but worth a try
• Bottom left section = Low risk, but potentially ineffective
• Bottom right section = Bad idea, ignore

The Impact-Effort Matrix is a simple way for your team to weigh the benefits of an idea against the amount of investment required. ‍

36. Dot Voting

Once you’ve gathered a substantial list of ideas from your employees, you need to sort the good from the bad. 

Dot voting is a simple tool used by problem-solving facilitators as a fast and effective way for large groups to vote on their favourite ideas . You’ll have seen this method used in problem-solving methods like Flip It! and Lightning Decision Jam .

• Participants write their ideas on sticky notes and stick them to the wall or a flipchart.
• When asked, participants draw a small dot on the corner of the idea they like the most.
• Participants can be given as many votes as necessary.
• When voting ends, arrange the notes from “most popular” to “least popular.”

This provides an easy-to-use visual representation of the best and worst ideas put forward by your team.

Give your problems the attention they deserve at an offsite retreat

While working from home or at the office, your team is often too caught up in daily tasks to take on complex problems. 

By escaping the office and uniting at an offsite location, you can craft a purposeful agenda of team-building activities and problem-solving sessions. This special time away from the office can prove invaluable when it comes to keeping your business on track.

If you have problems that need fixing (who doesn’t?), reach out to Surf Office and let us put together a fully-customised offsite retreat for you.

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Master the 7-Step Problem-Solving Process for Better Decision-Making

Discover the powerful 7-Step Problem-Solving Process to make better decisions and achieve better outcomes. Master the art of problem-solving in this comprehensive guide. Download the Free PowerPoint and PDF Template.

StrategyPunk

Introduction

The 7-Step Problem-Solving Process involves steps that guide you through the problem-solving process. The first step is to define the problem, followed by disaggregating the problem into smaller, more manageable parts. Next, you prioritize the features and create a work plan to address each. Then, you analyze each piece, synthesize the information, and communicate your findings to others.

In this article, we'll explore each step of the 7-Step Problem-Solving Process in detail so you can start mastering this valuable skill. At the end of the blog post, you can download the process's free PowerPoint and PDF templates .

Step 1: Define the Problem

One way to define the problem is to ask the right questions. Questions like "What is the problem?" and "What are the causes of the problem?" can help. Gathering data and information about the issue to assist in the definition process is also essential.

Step 2: Disaggregate

After defining the problem, the next step in the 7-step problem-solving process is to disaggregate the problem into smaller, more manageable parts. Disaggregation helps break down the problem into smaller pieces that can be analyzed individually. This step is crucial in understanding the root cause of the problem and identifying the most effective solutions.

Disaggregation helps in breaking down complex problems into smaller, more manageable parts. It helps understand the relationships between different factors contributing to the problem and identify the most critical factors that must be addressed. By disaggregating the problem, decision-makers can focus on the most vital areas, leading to more effective solutions.

Step 3: Prioritize

Once the issues have been prioritized, developing a plan of action to address them is essential. This involves identifying the resources required, setting timelines, and assigning responsibilities.

Step 4: Workplan

The work plan should include a list of tasks, deadlines, and responsibilities for each team member involved in the problem-solving process. Assigning tasks based on each team member's strengths and expertise ensures the work is completed efficiently and effectively.

Developing a work plan is a critical step in the problem-solving process. It provides a clear roadmap for solving the problem and ensures everyone involved is aligned and working towards the same goal.

Step 5: Analysis

Pareto analysis is another method that can be used during the analysis phase. This method involves identifying the 20% of causes responsible for 80% of the problems. By focusing on these critical causes, organizations can make significant improvements.

Step 6: Synthesize

Once the analysis phase is complete, it is time to synthesize the information gathered to arrive at a solution. During this step, the focus is on identifying the most viable solution that addresses the problem. This involves examining and combining the analysis results for a clear and concise conclusion.

During the synthesis phase, it is vital to remain open-minded and consider all potential solutions. Involving all stakeholders in the decision-making process is essential to ensure everyone's perspectives are considered.

Step 7: Communicate

In addition to the report, a presentation explaining the findings is essential. The presentation should be tailored to the audience and highlight the report's key points. Visual aids such as tables, graphs, and charts can make the presentation more engaging.

The 7-step problem-solving process is a powerful tool for helping individuals and organizations make better decisions. By following these steps, individuals can identify the root cause of a problem, prioritize potential solutions, and develop a clear plan of action. This process can be applied to various scenarios, from personal challenges to complex business problems.

By mastering the 7-step problem-solving process, individuals can become more effective decision-makers and problem-solvers. This process can help individuals and organizations save time and resources while improving outcomes. With practice, individuals can develop the skills to apply this process to a wide range of scenarios and make better decisions in all areas of life.

7-Step Problem-Solving Process PPT Template

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Mastering this process can improve decision-making and problem-solving capabilities, save time and resources, and improve outcomes in personal and professional contexts.

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Critical & Creative Thinking Resources: IDEAL problem solving

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VM: I had to inter-library loan this item to read the original content.  This is highly cited throughout literature, so I wanted to have a good grasp on what it covered.  Here are my notes and commentary:

•  Full text From TNtech.edu: "Ideal Problem Solver, 2 ed." (c) 1984, 1993 more... less... Thanks to Center for Assessment & Improvement of Learning - Reports & Publications"
• Full text from ERIC: The IDEAL Workplace: Strategies for Improving Learning, Problem Solving, and Creativity
• Show your support: The Ideal Problem Solver: A Guide to Improving Thinking, Learning, and Creativity Second Edition

The reason you should learn the IDEAL method is so you don't need to avoid problems.  The more know about and practice problem solving, the easier it gets.  It is learnable skill. It also prompts you to look for problems and solutions instead of just doing things the same old way.

Improvement of problem solving skills.  

Model for analyzing the processes that underlie effective problem solving.

IDEAL Model for improving problem solving (Verbatim copy of Fig 2.1; p.12)

I = Identifying the problem.

D = Define and represent the problem.

E = Explore possible strategies.

A = Act on the strategies.

L = Look back and evaluate the effects of your activities.

ELABORATION:

I = Identifying that there is a problem that, once described as a problem, may be solved or improved.

D = Define and represent the problem.  Draw it instead of trying to imagine it.

E = Explore possible strategies & alternative approaches or viewpoints. 

General strategies: Break problem down into small simple problems. Working a problem backwards. Build scale model Try simulation experiment, with smaller or simpler sets.

A = Act on the strategies. Try, then reflect or recall. Actively try learning strategy.

L = Look back and evaluate the effects of your activities. Look at results of learning strategy used: Does it work to allow full recall?

"Many students make the mistake of assuming that they have "learned" adequately if the information seems to make sense as they read it in a textbook or hear it in a lecture."    (p. 23" Must  use or practice, recall, or paraphrase - in order to evaluate effectiveness of learning.  

Math: Do example problems before looking at solution to practice concepts.  Look at solution to see where you went wrong (or not). 

Don't let the test be the first time you evaluate your understanding of material

Problem identification and definition.

Proof of concept - act/look/evaluate.

To find an answer to a problem, you can dig deeper, or dig somewhere else.  

Question assumptions about limits  The old - think outside the box- strategy.

When memorizing, know what you need to remember  Definitions?  Concepts? Graphs?  Dates?  each teacher has different priorities...ask them what to focus on

Ways to solve problem of learning new information.

Techniques for improving memory.

Short term meomory

Long term memory

Remembering people's names

Studying for an essay test.

Using cues to retrieve information.  For example, you can remember IDEAL first and that will help you reconstruct the idea of how to solve problems.

Some strategies for remembering information:

Make a story full of memorable images.  

Funny obnoxious "vivid images" or "mental pictures" are more memorabl e. (Ex: random words in a list, passwords, people's names. Banana vomit haunts me.)

Rehearse over and over - over learn.   (Ex: Memorizing a phone number 867-5309 )

Rehearse words in groups - chunking. (Ex: Memorizing a part in a play, poems, pledges, short stories.)

Organize words into conceptual categories - Look for unifying relationships. (Recall, order not important. Ex: Shopping list, points in an essay.)

Look for similarities and coincidences in the words themselves. (Ex: How many words have e's, or 2 syllables, or have pun-ishing homonyms)

The feet that use the manual transmission car pedals are, from left to right: ​ C ( L eft-foot) utch , the  B( R ight-foot) ake , and the  A ccelerato ( R ight-foot)

Does order mimic alphabetical order? The manual transmission car pedals are, from left to right, the C lutch, the B rake, and the A ccelerator )   

Use Acronyms I dentify D efine ​E xplore A ct ​L ook

Acronym- easily remembered word: FACE

Acrostic- easily remembered phrase:    E very G ood B oy D eserves F udge

• Modified image source: Commons.wikimedia.org

Don't waste time studying what you already know

Image - Name Strategy:

What is unique about the person?  What is unique about their name?

Find a relationship between the two.

Other Pairing Strategies:

method of loci: arranging words to be remembered in association with familiar location or path .

Peg-word method: arranging words to be remembered in association with number order or alphabet letter order .

Strategies to comprehend new information.

more difficult than

Strategies to memorize new information.

Learning with understanding - comprehending new information.

Knowledge of CORE CONCEPTS in a field SIMPLIFIES problem solving. 

Ways to approach a problem of learning information that seems to be arbitrary:

Over-learn:  rehearse the facts until they are mastered.  2+2=4

Find relationships between images or words that are memorable: story telling, silmilarieties, vivid images, pegging, etc.

When a concept seems unclear, learn more about it.

Memory- can be of seemingly arbitrary words or numbers: ROTE (Ex. Facts and relationships) appearance

Comprehension - is understanding significance or relationships or function

Novices often forced to memorize information until they learn enough (related concepts and context) to understand it.

The mere memorization of information rarely provides useful conceptual tools that enable one to solve new problems later on. (p. 61,69)

Taking notes will not necessarily lead to effective recall prompts. How do you know when you understand material? Self-test by trying to explain material to another person.That will expose gaps in understanding.

Recall answers or solve problems out of order to be sure you know which concepts to apply and why.

Look at mistakes made as soon as possible, and learn where you went wrong.

Uses of information require more or less precision in understanding, depending on context. (A pilot must know more about an airplane than a passenger.)

Evaluation basics: evaluate factual claims look for flaws in logic question assumptions that form the basis of the argument

Correlation does not necessarily prove cause and effect.

Importance of being able to criticize ideas and generate alternatives.

Strategies for effective criticism.

Strategies for formulating creative solutions.

Finding/understanding implicit assumptions that hamper brainstorming.

Strategies for making implicit assumptions explicit.

"The uncreative mind can spot wrong answers, but it takes a creative mnd to spot wrong questions ." Emphasis added. - Anthony Jay, (p.93)

Making implicit assumptions explicit: look for inconsistencies question assumptions make predictions analyze worst case get feedback & criticism from others

Increase generation of novel ideas: break down problem into smaller parts analyze properties on a simpler level use analogies use brainstorming give it a rest, sleep on it don't be in a hurry, let ideas incubate: ​talk to others, read, keep the problem in the back of your mind try to communicate your ideas as clearly as possible, preferably in writing. attempting to write or teach an idea can function as a discovery technique

Strategies for Effective Communication

What we are trying to accomplish (goal)

Evaluating communication fro effectiveness:

Identify and Define: Have you given audience basis to understand different points of view about a topic? Different problem definitions can lead to different solutions. Did you Explore pros and cons of different strategies? Did you take Action and then Look at consequences? Did you organize your content into main points that are easy to identify and remeber?

Did you use analogies and background information to put facts into context?

Did you make sure your facts were accurate and did you avoid making assumptions?Always check for logical fallacies and inconsistencies.  Did you include information that is novel and useful, instead of just regurgitating what everyone already knows?

After you communicate, get feedback and evaluate your strategies.  Look for effects, and learn from your mistakes.  (p. 117)

Identify and Define what (problem) you want to communicate, with respect to your audience and your goals. Explore strategies for communicating your ideas.Act - based on your strategies. Look at effects.

Summaries of Useful  Attitudes and Strategies: Anybody can use the IDEAL system to improve their problem solving skills.

Related Resources:

• Teaching The IDEAL Problem-Solving Method To Diverse Learners Written by: Amy Sippl
• << Previous: Problem Solving
• Next: CRITICAL THINKING >>
• Last Updated: Oct 8, 2024 1:12 PM
• URL: https://library.fvtc.edu/Thinking

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Problem solving techniques: Steps and methods

Posted on May 29, 2019

Constant disruption has become a hallmark of the modern workforce and organisations want problem solving skills to combat this. Employers need people who can respond to change – be that evolving technology, new competitors, different models for doing business, or any of the other transformations that have taken place in recent years.

In addition, problem solving techniques encompass many of the other top skills employers seek . For example, LinkedIn’s list of the most in-demand soft skills of 2019 includes creativity, collaboration and adaptability, all of which fall under the problem-solving umbrella.

Despite its importance, many employees misunderstand what the problem solving method really involves.

What constitutes effective problem solving?

Effective problem solving doesn’t mean going away and coming up with an answer immediately. In fact, this isn’t good problem solving at all, because you’ll be running with the first solution that comes into your mind, which often isn’t the best.

Instead, you should look at problem solving more as a process with several steps involved that will help you reach the best outcome. Those steps are:

• Define the problem
• List all the possible solutions
• Evaluate the options
• Select the best solution
• Create an implementation plan
• Communicate your solution

Let’s look at each step in a little more detail.

1. Define the problem

The first step to solving a problem is defining what the problem actually is – sounds simple, right? Well no. An effective problem solver will take the thoughts of everyone involved into account, but different people might have different ideas on what the root cause of the issue really is. It’s up to you to actively listen to everyone without bringing any of your own preconceived notions to the conversation. Learning to differentiate facts from opinion is an essential part of this process.

An effective problem solver will take the opinions of everyone involved into account

The same can be said of data. Depending on what the problem is, there will be varying amounts of information available that will help you work out what’s gone wrong. There should be at least some data involved in any problem, and it’s up to you to gather as much as possible and analyse it objectively.

2. List all the possible solutions

Once you’ve identified what the real issue is, it’s time to think of solutions. Brainstorming as many solutions as possible will help you arrive at the best answer because you’ll be considering all potential options and scenarios. You should take everyone’s thoughts into account when you’re brainstorming these ideas, as well as all the insights you’ve gleaned from your data analysis. It also helps to seek input from others at this stage, as they may come up with solutions you haven’t thought of.

Depending on the type of problem, it can be useful to think of both short-term and long-term solutions, as some of your options may take a while to implement.

3. Evaluate the options

Each option will have pros and cons, and it’s important you list all of these, as well as how each solution could impact key stakeholders. Once you’ve narrowed down your options to three or four, it’s often a good idea to go to other employees for feedback just in case you’ve missed something. You should also work out how each option ties in with the broader goals of the business.

There may be a way to merge two options together in order to satisfy more people.

4. Select an option

Only now should you choose which solution you’re going to go with. What you decide should be whatever solves the problem most effectively while also taking the interests of everyone involved into account. There may be a way to merge two options together in order to satisfy more people.

5. Create an implementation plan

At this point you might be thinking it’s time to sit back and relax – problem solved, right? There are actually two more steps involved if you want your problem solving method to be truly effective. The first is to create an implementation plan. After all, if you don’t carry out your solution effectively, you’re not really solving the problem at all. 

Create an implementation plan on how you will put your solution into practice. One problem solving technique that many use here is to introduce a testing and feedback phase just to make sure the option you’ve selected really is the most viable. You’ll also want to include any changes to your solution that may occur in your implementation plan, as well as how you’ll monitor compliance and success.

6. Communicate your solution

There’s one last step to consider as part of the problem solving methodology, and that’s communicating your solution . Without this crucial part of the process, how is anyone going to know what you’ve decided? Make sure you communicate your decision to all the people who might be impacted by it. Not everyone is going to be 100 per cent happy with it, so when you communicate you must give them context. Explain exactly why you’ve made that decision and how the pros mean it’s better than any of the other options you came up with.

Prove your problem solving skills with Deakin

Employers are increasingly seeking soft skills, but unfortunately, while you can show that you’ve got a degree in a subject, it’s much harder to prove you’ve got proficiency in things like problem solving skills. But this is changing thanks to Deakin’s micro-credentials. These are university-level micro-credentials that provide an authoritative and third-party assessment of your capabilities in a range of areas, including problem solving. Reach out today for more information .

Cognitive Behavioral Therapy

Solving problems the cognitive-behavioral way, problem solving is another part of behavioral therapy..

Posted February 2, 2022 | Reviewed by Ekua Hagan

• What Is Cognitive Behavioral Therapy?
• Take our Your Mental Health Today Test
• Find a therapist who practices CBT
• Problem-solving is one technique used on the behavioral side of cognitive-behavioral therapy.
• The problem-solving technique is an iterative, five-step process that requires one to identify the problem and test different solutions.
• The technique differs from ad-hoc problem-solving in its suspension of judgment and evaluation of each solution.

As I have mentioned in previous posts, cognitive behavioral therapy is more than challenging negative, automatic thoughts. There is a whole behavioral piece of this therapy that focuses on what people do and how to change their actions to support their mental health. In this post, I’ll talk about the problem-solving technique from cognitive behavioral therapy and what makes it unique.

The problem-solving technique

While there are many different variations of this technique, I am going to describe the version I typically use, and which includes the main components of the technique:

The first step is to clearly define the problem. Sometimes, this includes answering a series of questions to make sure the problem is described in detail. Sometimes, the client is able to define the problem pretty clearly on their own. Sometimes, a discussion is needed to clearly outline the problem.

The next step is generating solutions without judgment. The "without judgment" part is crucial: Often when people are solving problems on their own, they will reject each potential solution as soon as they or someone else suggests it. This can lead to feeling helpless and also discarding solutions that would work.

The third step is evaluating the advantages and disadvantages of each solution. This is the step where judgment comes back.

Fourth, the client picks the most feasible solution that is most likely to work and they try it out.

The fifth step is evaluating whether the chosen solution worked, and if not, going back to step two or three to find another option. For step five, enough time has to pass for the solution to have made a difference.

This process is iterative, meaning the client and therapist always go back to the beginning to make sure the problem is resolved and if not, identify what needs to change.

Advantages of the problem-solving technique

The problem-solving technique might differ from ad hoc problem-solving in several ways. The most obvious is the suspension of judgment when coming up with solutions. We sometimes need to withhold judgment and see the solution (or problem) from a different perspective. Deliberately deciding not to judge solutions until later can help trigger that mindset change.

Another difference is the explicit evaluation of whether the solution worked. When people usually try to solve problems, they don’t go back and check whether the solution worked. It’s only if something goes very wrong that they try again. The problem-solving technique specifically includes evaluating the solution.

Lastly, the problem-solving technique starts with a specific definition of the problem instead of just jumping to solutions. To figure out where you are going, you have to know where you are.

One benefit of the cognitive behavioral therapy approach is the behavioral side. The behavioral part of therapy is a wide umbrella that includes problem-solving techniques among other techniques. Accessing multiple techniques means one is more likely to address the client’s main concern.

Salene M. W. Jones, Ph.D., is a clinical psychologist in Washington State.

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LEARNING AND PROBLEM SOLVING: THE USE OF PROBLEM SOLVING METHOD TO ACHIEVE LEARNING IN PUPILS

• September 2020

• Ignatius Ajuru University of Education

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7.3 Problem-Solving

Learning objectives.

By the end of this section, you will be able to:

• Describe problem solving strategies
• Define algorithm and heuristic
• Explain some common roadblocks to effective problem solving

   People face problems every day—usually, multiple problems throughout the day. Sometimes these problems are straightforward: To double a recipe for pizza dough, for example, all that is required is that each ingredient in the recipe be doubled. Sometimes, however, the problems we encounter are more complex. For example, say you have a work deadline, and you must mail a printed copy of a report to your supervisor by the end of the business day. The report is time-sensitive and must be sent overnight. You finished the report last night, but your printer will not work today. What should you do? First, you need to identify the problem and then apply a strategy for solving the problem.

The study of human and animal problem solving processes has provided much insight toward the understanding of our conscious experience and led to advancements in computer science and artificial intelligence. Essentially much of cognitive science today represents studies of how we consciously and unconsciously make decisions and solve problems. For instance, when encountered with a large amount of information, how do we go about making decisions about the most efficient way of sorting and analyzing all the information in order to find what you are looking for as in visual search paradigms in cognitive psychology. Or in a situation where a piece of machinery is not working properly, how do we go about organizing how to address the issue and understand what the cause of the problem might be. How do we sort the procedures that will be needed and focus attention on what is important in order to solve problems efficiently. Within this section we will discuss some of these issues and examine processes related to human, animal and computer problem solving.

PROBLEM-SOLVING STRATEGIES

   When people are presented with a problem—whether it is a complex mathematical problem or a broken printer, how do you solve it? Before finding a solution to the problem, the problem must first be clearly identified. After that, one of many problem solving strategies can be applied, hopefully resulting in a solution.

Problems themselves can be classified into two different categories known as ill-defined and well-defined problems (Schacter, 2009). Ill-defined problems represent issues that do not have clear goals, solution paths, or expected solutions whereas well-defined problems have specific goals, clearly defined solutions, and clear expected solutions. Problem solving often incorporates pragmatics (logical reasoning) and semantics (interpretation of meanings behind the problem), and also in many cases require abstract thinking and creativity in order to find novel solutions. Within psychology, problem solving refers to a motivational drive for reading a definite “goal” from a present situation or condition that is either not moving toward that goal, is distant from it, or requires more complex logical analysis for finding a missing description of conditions or steps toward that goal. Processes relating to problem solving include problem finding also known as problem analysis, problem shaping where the organization of the problem occurs, generating alternative strategies, implementation of attempted solutions, and verification of the selected solution. Various methods of studying problem solving exist within the field of psychology including introspection, behavior analysis and behaviorism, simulation, computer modeling, and experimentation.

A problem-solving strategy is a plan of action used to find a solution. Different strategies have different action plans associated with them (table below). For example, a well-known strategy is trial and error. The old adage, “If at first you don’t succeed, try, try again” describes trial and error. In terms of your broken printer, you could try checking the ink levels, and if that doesn’t work, you could check to make sure the paper tray isn’t jammed. Or maybe the printer isn’t actually connected to your laptop. When using trial and error, you would continue to try different solutions until you solved your problem. Although trial and error is not typically one of the most time-efficient strategies, it is a commonly used one.

   Another type of strategy is an algorithm. An algorithm is a problem-solving formula that provides you with step-by-step instructions used to achieve a desired outcome (Kahneman, 2011). You can think of an algorithm as a recipe with highly detailed instructions that produce the same result every time they are performed. Algorithms are used frequently in our everyday lives, especially in computer science. When you run a search on the Internet, search engines like Google use algorithms to decide which entries will appear first in your list of results. Facebook also uses algorithms to decide which posts to display on your newsfeed. Can you identify other situations in which algorithms are used?

A heuristic is another type of problem solving strategy. While an algorithm must be followed exactly to produce a correct result, a heuristic is a general problem-solving framework (Tversky & Kahneman, 1974). You can think of these as mental shortcuts that are used to solve problems. A “rule of thumb” is an example of a heuristic. Such a rule saves the person time and energy when making a decision, but despite its time-saving characteristics, it is not always the best method for making a rational decision. Different types of heuristics are used in different types of situations, but the impulse to use a heuristic occurs when one of five conditions is met (Pratkanis, 1989):

• When one is faced with too much information
• When the time to make a decision is limited
• When the decision to be made is unimportant
• When there is access to very little information to use in making the decision
• When an appropriate heuristic happens to come to mind in the same moment

Working backwards is a useful heuristic in which you begin solving the problem by focusing on the end result. Consider this example: You live in Washington, D.C. and have been invited to a wedding at 4 PM on Saturday in Philadelphia. Knowing that Interstate 95 tends to back up any day of the week, you need to plan your route and time your departure accordingly. If you want to be at the wedding service by 3:30 PM, and it takes 2.5 hours to get to Philadelphia without traffic, what time should you leave your house? You use the working backwards heuristic to plan the events of your day on a regular basis, probably without even thinking about it.

Another useful heuristic is the practice of accomplishing a large goal or task by breaking it into a series of smaller steps. Students often use this common method to complete a large research project or long essay for school. For example, students typically brainstorm, develop a thesis or main topic, research the chosen topic, organize their information into an outline, write a rough draft, revise and edit the rough draft, develop a final draft, organize the references list, and proofread their work before turning in the project. The large task becomes less overwhelming when it is broken down into a series of small steps.

Further problem solving strategies have been identified (listed below) that incorporate flexible and creative thinking in order to reach solutions efficiently.

Additional Problem Solving Strategies :

• Abstraction – refers to solving the problem within a model of the situation before applying it to reality.
• Analogy – is using a solution that solves a similar problem.
• Brainstorming – refers to collecting an analyzing a large amount of solutions, especially within a group of people, to combine the solutions and developing them until an optimal solution is reached.
• Divide and conquer – breaking down large complex problems into smaller more manageable problems.
• Hypothesis testing – method used in experimentation where an assumption about what would happen in response to manipulating an independent variable is made, and analysis of the affects of the manipulation are made and compared to the original hypothesis.
• Lateral thinking – approaching problems indirectly and creatively by viewing the problem in a new and unusual light.
• Means-ends analysis – choosing and analyzing an action at a series of smaller steps to move closer to the goal.
• Method of focal objects – putting seemingly non-matching characteristics of different procedures together to make something new that will get you closer to the goal.
• Morphological analysis – analyzing the outputs of and interactions of many pieces that together make up a whole system.
• Proof – trying to prove that a problem cannot be solved. Where the proof fails becomes the starting point or solving the problem.
• Reduction – adapting the problem to be as similar problems where a solution exists.
• Research – using existing knowledge or solutions to similar problems to solve the problem.
• Root cause analysis – trying to identify the cause of the problem.

The strategies listed above outline a short summary of methods we use in working toward solutions and also demonstrate how the mind works when being faced with barriers preventing goals to be reached.

One example of means-end analysis can be found by using the Tower of Hanoi paradigm . This paradigm can be modeled as a word problems as demonstrated by the Missionary-Cannibal Problem :

Missionary-Cannibal Problem

Three missionaries and three cannibals are on one side of a river and need to cross to the other side. The only means of crossing is a boat, and the boat can only hold two people at a time. Your goal is to devise a set of moves that will transport all six of the people across the river, being in mind the following constraint: The number of cannibals can never exceed the number of missionaries in any location. Remember that someone will have to also row that boat back across each time.

Hint : At one point in your solution, you will have to send more people back to the original side than you just sent to the destination.

The actual Tower of Hanoi problem consists of three rods sitting vertically on a base with a number of disks of different sizes that can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top making a conical shape. The objective of the puzzle is to move the entire stack to another rod obeying the following rules:

• 1. Only one disk can be moved at a time.
• 2. Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod.
• 3. No disc may be placed on top of a smaller disk.

  Figure 7.02. Steps for solving the Tower of Hanoi in the minimum number of moves when there are 3 disks.

Figure 7.03. Graphical representation of nodes (circles) and moves (lines) of Tower of Hanoi.

The Tower of Hanoi is a frequently used psychological technique to study problem solving and procedure analysis. A variation of the Tower of Hanoi known as the Tower of London has been developed which has been an important tool in the neuropsychological diagnosis of executive function disorders and their treatment.

GESTALT PSYCHOLOGY AND PROBLEM SOLVING

As you may recall from the sensation and perception chapter, Gestalt psychology describes whole patterns, forms and configurations of perception and cognition such as closure, good continuation, and figure-ground. In addition to patterns of perception, Wolfgang Kohler, a German Gestalt psychologist traveled to the Spanish island of Tenerife in order to study animals behavior and problem solving in the anthropoid ape.

As an interesting side note to Kohler’s studies of chimp problem solving, Dr. Ronald Ley, professor of psychology at State University of New York provides evidence in his book A Whisper of Espionage  (1990) suggesting that while collecting data for what would later be his book  The Mentality of Apes (1925) on Tenerife in the Canary Islands between 1914 and 1920, Kohler was additionally an active spy for the German government alerting Germany to ships that were sailing around the Canary Islands. Ley suggests his investigations in England, Germany and elsewhere in Europe confirm that Kohler had served in the German military by building, maintaining and operating a concealed radio that contributed to Germany’s war effort acting as a strategic outpost in the Canary Islands that could monitor naval military activity approaching the north African coast.

While trapped on the island over the course of World War 1, Kohler applied Gestalt principles to animal perception in order to understand how they solve problems. He recognized that the apes on the islands also perceive relations between stimuli and the environment in Gestalt patterns and understand these patterns as wholes as opposed to pieces that make up a whole. Kohler based his theories of animal intelligence on the ability to understand relations between stimuli, and spent much of his time while trapped on the island investigation what he described as  insight , the sudden perception of useful or proper relations. In order to study insight in animals, Kohler would present problems to chimpanzee’s by hanging some banana’s or some kind of food so it was suspended higher than the apes could reach. Within the room, Kohler would arrange a variety of boxes, sticks or other tools the chimpanzees could use by combining in patterns or organizing in a way that would allow them to obtain the food (Kohler & Winter, 1925).

While viewing the chimpanzee’s, Kohler noticed one chimp that was more efficient at solving problems than some of the others. The chimp, named Sultan, was able to use long poles to reach through bars and organize objects in specific patterns to obtain food or other desirables that were originally out of reach. In order to study insight within these chimps, Kohler would remove objects from the room to systematically make the food more difficult to obtain. As the story goes, after removing many of the objects Sultan was used to using to obtain the food, he sat down ad sulked for a while, and then suddenly got up going over to two poles lying on the ground. Without hesitation Sultan put one pole inside the end of the other creating a longer pole that he could use to obtain the food demonstrating an ideal example of what Kohler described as insight. In another situation, Sultan discovered how to stand on a box to reach a banana that was suspended from the rafters illustrating Sultan’s perception of relations and the importance of insight in problem solving.

Grande (another chimp in the group studied by Kohler) builds a three-box structure to reach the bananas, while Sultan watches from the ground.  Insight , sometimes referred to as an “Ah-ha” experience, was the term Kohler used for the sudden perception of useful relations among objects during problem solving (Kohler, 1927; Radvansky & Ashcraft, 2013).

Solving puzzles.

   Problem-solving abilities can improve with practice. Many people challenge themselves every day with puzzles and other mental exercises to sharpen their problem-solving skills. Sudoku puzzles appear daily in most newspapers. Typically, a sudoku puzzle is a 9×9 grid. The simple sudoku below (see figure) is a 4×4 grid. To solve the puzzle, fill in the empty boxes with a single digit: 1, 2, 3, or 4. Here are the rules: The numbers must total 10 in each bolded box, each row, and each column; however, each digit can only appear once in a bolded box, row, and column. Time yourself as you solve this puzzle and compare your time with a classmate.

How long did it take you to solve this sudoku puzzle? (You can see the answer at the end of this section.)

   Here is another popular type of puzzle (figure below) that challenges your spatial reasoning skills. Connect all nine dots with four connecting straight lines without lifting your pencil from the paper:

Did you figure it out? (The answer is at the end of this section.) Once you understand how to crack this puzzle, you won’t forget.

   Take a look at the “Puzzling Scales” logic puzzle below (figure below). Sam Loyd, a well-known puzzle master, created and refined countless puzzles throughout his lifetime (Cyclopedia of Puzzles, n.d.).

What steps did you take to solve this puzzle? You can read the solution at the end of this section.

Pitfalls to problem solving.

   Not all problems are successfully solved, however. What challenges stop us from successfully solving a problem? Albert Einstein once said, “Insanity is doing the same thing over and over again and expecting a different result.” Imagine a person in a room that has four doorways. One doorway that has always been open in the past is now locked. The person, accustomed to exiting the room by that particular doorway, keeps trying to get out through the same doorway even though the other three doorways are open. The person is stuck—but she just needs to go to another doorway, instead of trying to get out through the locked doorway. A mental set is where you persist in approaching a problem in a way that has worked in the past but is clearly not working now.

Functional fixedness is a type of mental set where you cannot perceive an object being used for something other than what it was designed for. During the Apollo 13 mission to the moon, NASA engineers at Mission Control had to overcome functional fixedness to save the lives of the astronauts aboard the spacecraft. An explosion in a module of the spacecraft damaged multiple systems. The astronauts were in danger of being poisoned by rising levels of carbon dioxide because of problems with the carbon dioxide filters. The engineers found a way for the astronauts to use spare plastic bags, tape, and air hoses to create a makeshift air filter, which saved the lives of the astronauts.

   Researchers have investigated whether functional fixedness is affected by culture. In one experiment, individuals from the Shuar group in Ecuador were asked to use an object for a purpose other than that for which the object was originally intended. For example, the participants were told a story about a bear and a rabbit that were separated by a river and asked to select among various objects, including a spoon, a cup, erasers, and so on, to help the animals. The spoon was the only object long enough to span the imaginary river, but if the spoon was presented in a way that reflected its normal usage, it took participants longer to choose the spoon to solve the problem. (German & Barrett, 2005). The researchers wanted to know if exposure to highly specialized tools, as occurs with individuals in industrialized nations, affects their ability to transcend functional fixedness. It was determined that functional fixedness is experienced in both industrialized and nonindustrialized cultures (German & Barrett, 2005).

In order to make good decisions, we use our knowledge and our reasoning. Often, this knowledge and reasoning is sound and solid. Sometimes, however, we are swayed by biases or by others manipulating a situation. For example, let’s say you and three friends wanted to rent a house and had a combined target budget of $1,600. The realtor shows you only very run-down houses for $1,600 and then shows you a very nice house for $2,000. Might you ask each person to pay more in rent to get the $2,000 home? Why would the realtor show you the run-down houses and the nice house? The realtor may be challenging your anchoring bias. An anchoring bias occurs when you focus on one piece of information when making a decision or solving a problem. In this case, you’re so focused on the amount of money you are willing to spend that you may not recognize what kinds of houses are available at that price point.

The confirmation bias is the tendency to focus on information that confirms your existing beliefs. For example, if you think that your professor is not very nice, you notice all of the instances of rude behavior exhibited by the professor while ignoring the countless pleasant interactions he is involved in on a daily basis. Hindsight bias leads you to believe that the event you just experienced was predictable, even though it really wasn’t. In other words, you knew all along that things would turn out the way they did. Representative bias describes a faulty way of thinking, in which you unintentionally stereotype someone or something; for example, you may assume that your professors spend their free time reading books and engaging in intellectual conversation, because the idea of them spending their time playing volleyball or visiting an amusement park does not fit in with your stereotypes of professors.

Finally, the availability heuristic is a heuristic in which you make a decision based on an example, information, or recent experience that is that readily available to you, even though it may not be the best example to inform your decision . Biases tend to “preserve that which is already established—to maintain our preexisting knowledge, beliefs, attitudes, and hypotheses” (Aronson, 1995; Kahneman, 2011). These biases are summarized in the table below.

Were you able to determine how many marbles are needed to balance the scales in the figure below? You need nine. Were you able to solve the problems in the figures above? Here are the answers.

   Many different strategies exist for solving problems. Typical strategies include trial and error, applying algorithms, and using heuristics. To solve a large, complicated problem, it often helps to break the problem into smaller steps that can be accomplished individually, leading to an overall solution. Roadblocks to problem solving include a mental set, functional fixedness, and various biases that can cloud decision making skills.

References:

Openstax Psychology text by Kathryn Dumper, William Jenkins, Arlene Lacombe, Marilyn Lovett and Marion Perlmutter licensed under CC BY v4.0. https://openstax.org/details/books/psychology

Review Questions:

1. A specific formula for solving a problem is called ________.

a. an algorithm

b. a heuristic

c. a mental set

d. trial and error

2. Solving the Tower of Hanoi problem tends to utilize a  ________ strategy of problem solving.

a. divide and conquer

b. means-end analysis

d. experiment

3. A mental shortcut in the form of a general problem-solving framework is called ________.

4. Which type of bias involves becoming fixated on a single trait of a problem?

a. anchoring bias

b. confirmation bias

c. representative bias

d. availability bias

5. Which type of bias involves relying on a false stereotype to make a decision?

6. Wolfgang Kohler analyzed behavior of chimpanzees by applying Gestalt principles to describe ________.

a. social adjustment

b. student load payment options

c. emotional learning

d. insight learning

7. ________ is a type of mental set where you cannot perceive an object being used for something other than what it was designed for.

a. functional fixedness

c. working memory

Critical Thinking Questions:

1. What is functional fixedness and how can overcoming it help you solve problems?

2. How does an algorithm save you time and energy when solving a problem?

Personal Application Question:

1. Which type of bias do you recognize in your own decision making processes? How has this bias affected how you’ve made decisions in the past and how can you use your awareness of it to improve your decisions making skills in the future?

anchoring bias

availability heuristic

confirmation bias

functional fixedness

hindsight bias

problem-solving strategy

representative bias

trial and error

working backwards

Answers to Exercises

algorithm:  problem-solving strategy characterized by a specific set of instructions

anchoring bias:  faulty heuristic in which you fixate on a single aspect of a problem to find a solution

availability heuristic:  faulty heuristic in which you make a decision based on information readily available to you

confirmation bias:  faulty heuristic in which you focus on information that confirms your beliefs

functional fixedness:  inability to see an object as useful for any other use other than the one for which it was intended

heuristic:  mental shortcut that saves time when solving a problem

hindsight bias:  belief that the event just experienced was predictable, even though it really wasn’t

mental set:  continually using an old solution to a problem without results

problem-solving strategy:  method for solving problems

representative bias:  faulty heuristic in which you stereotype someone or something without a valid basis for your judgment

trial and error:  problem-solving strategy in which multiple solutions are attempted until the correct one is found

working backwards:  heuristic in which you begin to solve a problem by focusing on the end result

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What is problem solving and why is it important?

By Wayne Stottler, Kepner-Tregoe

• Problem Solving & Decision Making Over time, developing and refining problem solving skills provides the ability to solve increasingly complex problems Learn More

For over 60 years, Kepner-Tregoe has been helping companies across industries and geographies to develop and mature their problem-solving skills through our industry-leading approach to training and the implementation of best-practice processes. Considering that problem solving is a part of almost every person’s daily life (both at home and in the workplace), it is surprising how often we are asked to explain what problem solving is and why it is important.

Problem solving is at the core of human evolution. It is the methods we use to understand what is happening in our environment, identify things we want to change and then figure out the things that need to be done to create the desired outcome. Problem solving is the source of all new inventions, social and cultural evolution, and the basis for market based economies. It is the basis for continuous improvement, communication and learning.

If this problem-solving thing is so important to daily life, what is it?

Problem-solving is the process of observing what is going on in your environment; identifying things that could be changed or improved; diagnosing why the current state is the way it is and the factors and forces that influence it; developing approaches and alternatives to influence change; making decisions about which alternative to select; taking action to implement the changes; and observing impact of those actions in the environment.

Each step in the problem-solving process employs skills and methods that contribute to the overall effectiveness of influencing change and determine the level of problem complexity that can be addressed. Humans learn how to solve simple problems from a very early age (learning to eat, make coordinated movements and communicate) – and as a person goes through life, problem-solving skills are refined, matured and become more sophisticated (enabling them to solve more difficult problems).

Problem-solving is important both to individuals and organizations because it enables us to exert control over our environment.

Fixing things that are broken

Some things wear out and break over time, others are flawed from day one. Personal and business environments are full of things, activities, interactions and processes that are broken or not operating in the way they are desired to work. Problem-solving gives us a mechanism for identifying these things, figuring out why they are broken and determining a course of action to fix them.

Addressing risk

Humans have learned to identify trends and developed an awareness of cause-and-effect relationships in their environment. These skills not only enable us to fix things when they break but also anticipate what may happen in the future (based on past experience and current events). Problem-solving can be applied to anticipated future events and used to enable action in the present to influence the likelihood of the event occurring and/or alter the impact if the event does occur.

Improving performance

Individuals and organizations do not exist in isolation in the environment. There is a complex and ever-changing web of relationships that exist and as a result, the actions of one person will often have either a direct impact on others or an indirect impact by changing the environment dynamics. These interdependencies enable humans to work together to solve more complex problems but they also create a force that requires everyone to continuously improve performance to adapt to improvements by others. Problem-solving helps us understand relationships and implement the changes and improvements needed to compete and survive in a continually changing environment.

Seizing opportunity

Problem solving isn’t just about responding to (and fixing) the environment that exists today. It is also about innovating, creating new things and changing the environment to be more desirable. Problem-solving enables us to identify and exploit opportunities in the environment and exert (some level of) control over the future.

Problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations. Developing and refining these skills through training, practice and learning can provide the ability to solve problems more effectively and over time address problems with a greater degree of complexity and difficulty. View KT’s Problem Solving workshop known to be the gold standard for over 60 years.

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This work was supported by Hubei Provincial Natural Science Foundation Joint Fund for Innovation and Development Project (No.: 2022CFD081), Major Science and Technology Projects of Hubei Province (No.: 2021AAA003), Hubei Province Intellectual Property Application Demonstration Project in 2020 and Special Project for Supporting Technological Innovation and Development of Enterprises (No.: 2021BAB011), XiangYang Science and Technology Project in 2022 (No.: 2022ABH006436).

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Chen, Gh., Zhou, B., Zhao, X. et al. Study on Optimization Method for CNC Machining Plastic - Shaped Appliances Based on ICOA Algorithm . Int. J. Precis. Eng. Manuf. (2024). https://doi.org/10.1007/s12541-024-01139-9

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LapUNet: a novel approach to monocular depth estimation using dynamic laplacian residual U-shape networks

• Yanhui Xi 1 , 2 ,
• Sai Li 1 , 2 ,
• Zhikang Xu 1 , 2 ,
• Feng Zhou 3 &
• Juanxiu Tian 4  

Scientific Reports volume  14 , Article number:  23544 ( 2024 ) Cite this article

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Monocular depth estimation is an important but challenging task. Although the performance has been improved by adopting various encoder-decoder architectures, the estimated depth maps lack structure details and clear edges due to simple repeated upsampling. To solve this problem, this paper presents the novel LapUNet (Laplacian U-shape networks), in which the encoder adopts ResNeXt101, and the decoder is constructed with the novel DLRU (dynamic Laplacian residual U-shape) module. The DLRU module based on the U-shape structure can supplement high-frequency features by fusing dynamic Laplacian residual into the process of upsampling, and the residual is dynamically learnable due to the addition of convolutional operation. Also, the ASPP (atrous spatial pyramid pooling) module is introduced to capture image context at multiple scales though multiple parallel atrous convolutional layers, and the depth map fusion module is used for combining high and low frequency features from depth maps with different spatial resolution. Experiments demonstrate that the proposed model with moderate model size is superior to other previous competitors on the KITTI and NYU Depth V2 datasets. Furthermore, 3D reconstruction and target ranging by utilizing the estimated depth maps prove the effectiveness of our proposed method.

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Introduction.

Depth maps generated from RGB images provide information about the distance of objects from the camera. Thus, depth estimation plays a fundamental role in computer vision such as 3D reconstruction 1 , augmented 2 reality, autonomous driving 3 , and robotics 4 . Monocular depth estimation refers to estimating depth from a single image, which does not require additional complicated equipment and professional techniques. However, it is an ill-posed problem as each two-dimensional image can be projected from an infinite number of different three-dimensional scenes 5 . Additionally, occlusions, texture loss, and changes in lighting conditions may result in the uncertainty of depth estimation.

The traditional methods of depth estimation from images mainly consist of two steps: manually designed feature extraction and depth information obtained by triangulation 6 , 7 . These methods are efficient in some cases, but they are complex and require extensive post-processing, and cannot adapt to complex scenes. Recently, many works have adopted deep learning (DL) techniques to directly regress the depth maps with good performance 8 , 9 , 10 . It is possible to learn complex mapping relationships between image features and depth from large amounts of training images annotated with per-pixel ground-truth depth like KITTI 11 and NYU Depth V2 12 .

In deep learning, considering the parameter count and computational efficiency, 3 × 3 or 1 × 1 convolutional kernels are commonly used to extract feature information. However, they exhibit limited capability in extracting global feature information due to the small receptive fields. To obtain a large receptive field, Inception v2 13 was proposed for single crop evaluation on the ILSVR 2012 classification, in which a 5 × 5 convolutional kernel was replaced by two layers of 3 × 3 convolution. Also, the ASPP module can provide a large receptive field and enhance the extraction of contextual information by employing convolutional kernels with different dilation rates to convolve the image. More importantly, the U-shape network has received the most attention in classification tasks 14 , 15 , because the network can construct enriched feature maps by replacing pooling operators with up-sampling operators.

The deeper networks bring challenges such as the vanishing and exploding gradient problems, which were solved until the introduction of the ResNet 16 , and it was first applied to the encoder for improving feature extraction. Although the framework of the encoder and the decoder has achieved significant progress, the repeated up-sampling operations in the decoding process fail to fully utilize underlying features extracted by the encoder, resulting in the degradation of high-frequency features in the depth map. Moreover, there are inaccurate depth values between object boundaries.

Aiming at above problems, this paper presents the LapUNet for the monocular depth estimation, in which the encoder adopts the ResNeXt101 17 , and the decoder is constructed with the novel DLRU module. The DLRU module based on the U-shape structure can collect the high-frequency features by fusing dynamic Laplacian residual into the process of upsampling. Moreover, the residual is dynamically learnable due to the addition of convolutional operation after downsampling. Unlike the direct concatenation of the two sides of U-net 14 , the DLRU module incorporates the dynamic Laplacian residual into U-shape network to capture the entire frequency features. The main contributions of this paper can be summarized as follows:

LapUNet based on the framework of the encoder-decoder is proposed for monocular depth estimation, and the decoder is constructed with the novel DLRU module, in which the Laplacian residual is obtained with the U-shape structure rather than simple downsampling and upsampling. Also, learnable parameterized convolutional layers are introduced into the process of Laplacian residuals collection, which enables the Laplacian residuals to adjust their representations for better capturing high frequency features by dynamic learning.

The ASPP module is introduced to capture multi-scale contextual information through multi-scale atrous convolutions and global pooling. Additionally, a depth map fusion module is designed to merge features from depth maps at different scales, enabling the final depth map to contain more detailed information.

Various experimental results on the KITTI and NYU Depth V2 datasets show that the estimated depth by the proposed method has more object information and clearer edges than other previous works. Especially, the efficiency of the estimated depth maps is further highlighted by the application to 3D reconstruction and target ranging.

The structure of the upcoming paper is outlined as follows: The second section provides an overview of related work in monocular depth estimation. The third section elaborates on the proposed method, including the detailed design of the DLRU module and the depth residual multi-level decoding scheme. The fourth section describes our experimental setup and results analysis. Finally, the fifth section concludes and provides prospects for future work. We believe that our novel approach will contribute significantly to the advancement of research and practical applications in the field of monocular depth estimation.

Related work

Early monocular depth estimation primarily relied on techniques such as image matching and manually designed features. Torralba and Oliva 18 proposed to infer the scale and absolute mean depth of a scene by recognizing spectral magnitude properties. Considering the global context of the whole image, Saxena 19 proposed the trained Markov random field (MRF) model to infer the depth. Karsch 20 used the similarity of spectral coefficients to find the candidate depth and refine the depth with a SIFT flow-based mechanism. In the work 21 , a high-order conditional random field (CRF) model with field of experts (FoE) is proposed for depth estimation. In 22 , the cluster-based learning scheme was exploited to select the optimal depth from training samples in a coarse-to-fine manner. However, traditional monocular depth estimation techniques usually require high-contrast scenes, and cannot reconstruct depth in textureless regions. Moreover, they suffer from limited generalization capabilities for non-experimental scenarios and restricted applicability.

With the powerful capability of deep learning for image classification and segmentation, various deep neural networks such as convolutional neural networks (CNNs) 5 , recurrent neural networks (RNNs) 23 , variational auto-encoders (VAEs) 24 and generative adversarial networks (GANs) 25 have been used for monocular depth estimation. For example, Eigen 5 firstly proposed a two-stage CNN-based model which predicted the coarse result of the depth image based on the deeply stacked CNN and refined local details by using the second CNN stream. With the relatively good performance of the CNN-based approach for depth estimation in 26 , various encoder-decoder architectures have been developed. Liu 27 proposed a hybrid depth estimation method with the CNN and CRF, which extracted the relevant features from an RGB image through CNN and improved the smoothness and edge preservation of adjacent super pixel blocks by using CRF. Cao 28 transformed the depth estimation problem into a pixel-level classification task by use of a deep residual network. On the other hand, Fu 29 viewed depth estimation as a regression problem using the ASPP module for encoding features. Aiming to address the difficulty of fully utilizing underlying properties of well-encoded features, Song 30 proposed a simple but effective scheme by incorporating the Laplacian pyramid into the decoder architecture. However, the improvement is limited due to the unchanging (static) Laplacian residuals. For more effective guidance of densely encoded features to the desired depth prediction, Lee 31 proposed to utilize novel local planar guidance layers located at multiple stages in the decoding phase. To reduce the computation complexity of CRFs optimization, Yuan 32 built a bottom-up-top-down structure, where this neural window FC-CRFs (fully-connected CRFs) module served as the decoder, and a vision transformer served as the encoder. To achieve better-generalized performance, Bae et al. 33 proposed a self-supervised monocular depth estimation method based on MonoFormer. Lu and Chen 34 improved depth estimation accuracy by jointly estimating depth and optical flow in dynamic scenes. Aiming at virtual and real-world water scenes, Lu and Chen 35 presented an intra-frame-supervised depth estimation via specular reflection. To learn single-view depth estimation from videos, Gonzalez Bello et al. 36 proposed self-supervised monocular depth estimation method based on positional shift depth variance and adaptive disparity quantization. To further improve self-supervised monocular depth estimation, Zhang et al. 37 adopted self-reprojection mask, self-statistical mask and self-distillation consistency loss, which can effectively handle anomalous pixels to protect the reprojection and mitigate the ill-posed nature of monocular depth estimation. In the work 38 , the PROMOTION method was introduced for accurately estimating the depth of an object in motion. To enhance the model’s robustness against real-world disturbances in depth estimation tasks, Cheng et al. 39 , 40 developed a novel technique for synthesizing 2D images that adhere to real-world constraints. Aiming at various motion tasks, ProtoFormer 41 was proposed to enhance the understanding of dynamic scenes in depth estimation.

Deep neural networks based on the encoder-decoder architecture have achieved significant success in depth estimation. However, they often lose high-frequency image features due to the inefficient decoding scheme, resulting in blurry artifacts at the depth boundary. To address this issue, we propose the novel DLRU module to construct the decoder for progressively restoring depth boundaries via various scales.

In this section, we introduce the proposed DLRU module, and then construct the LapUNet based on the encode and decode structure using DLRU modules, and finally describe the loss function.

Dynamic laplacian residual U module

To aggregate multiscale local and global features, the DLRU module is proposed for depth estimation. As shown in Fig.  1 , the DLRU module adopts the U-shape structure and consists of 9 convolutional blocks, which are divided into three categories, namely, ordinary convolutional block, downsampling convolutional block and upsampling convolutional block. The DLRU module with depth T ( \(T={{1}},2,3,4\) ) has T downsampling convolutional blocks, T upsampling convolutional blocks, and \(9 - 2T\) ordinary convolutional blocks, of which one is located at bottom of the U-shape structure, and the rest are evenly distributed on both sides. The input feature X is transformed to depth features \({D_{T - 1}}, \cdots ,{D_t}, \cdots ,{\kern 1pt} {\kern 1pt} {\kern 1pt} {D_0}\) ( \(0 \leqslant t \leqslant T - 1\) ) with different resolutions through T downsampling convolutional blocks, and \({D_T}=X\) . Similarly, different resolution depth maps \({U_1},{\kern 1pt} {\kern 1pt} \cdots ,{\kern 1pt} {\kern 1pt} {U_t},{\kern 1pt} {\kern 1pt} {\kern 1pt} \cdots ,{\kern 1pt} {\kern 1pt} {\kern 1pt} {U_T}\) ( \(1 \leqslant t \leqslant T\) ) are output through T upsampling convolutional blocks, and \({U_0}\) is the input of upsampling convolutional blocks.

The structure of the DLRU module.

The decoding process usually repeats simple upsampling operations to recover the original resolution. However, this may lead to the loss of high-frequency feature information. Aiming at this problem, dynamic Laplacian residual is introduced into the U-shape structure. Unlike the ordinary Laplacian residual, which is defined as

where \({R_t}\) is the Laplacian residual, and \({D_t}\) is obtained by downsampling the original input image to \(1/{2^{T - t}}\) , \(Up(\cdot )\) is the upsampling operation. Obviously, the residuals are obtained with simple downsampling and upsampling.

The proposed dynamic Laplacian residual in Fig.  1 is descripted as follows

It is worth mentioning that \({D_t}\) in Eq. ( 2 ) is obtained with downsampling, convolution, batch normalization, and ReLU activation operations. Hence, the proposed residual \({R_t}\) in Eq. ( 2 ) is influenced not only by the features from downsampling and upsampling but also by the upsampled Laplacian residual from the previous layer. Thus, the DLRU module can supplement high-frequency features through the upsampled Laplacian residual from the previous layer. Furthermore, the Laplacian residual is refined through a parametric convolution layer, which helps capture high-frequency features more effectively.

Architecture of LapUNet

The overall framework of the proposed LapUNet model is illustrated in Fig.  2 . The encoder gradually reduces the size of the feature map through convolution and pooling, which can extract high-level abstract features. The decoder progressively recovers back from the high-dimensional features to the low-dimensional space. It merges features from different layers of the encoder with those of the current decoder, refining the feature representation of the decoder.

ResNeXt101-based feature extraction

The encoder adopts the ResNeXt101 network 17 with 4 layers due to the good performance in computer vision. The original image with a spatial resolution of H×W is taken as input, and through the stride convolution operation, the spatial resolution of maps is reduced by half in the ResNeXt101 network. Hence, the spatial resolution at each layer is H/2×W/2, H/4×W/4, H/8×W/8, and H/16×W/16, respectively. In addition, the convolutional layer (Conv1) is added into the encoder, and its detailed architecture is shown in Table  1 .

Dynamic laplacian residual U-shape (DLRU) decoder with ASPP

The decoder is constructed with DLRU modules, ASPP modules, adaptive depth maps fusion module and convolutional layers, as depicted in Fig.  2 . The decoder consists of five layers, namely, level 1, level 2, level 3, level 4 and level 5, and at each level, we use DLRU modules (DLRU-4, DLRU-3, DLRU-2, DLRU-1) and a convolutional block, respectively. As mentioned before, “4”, “3”, “2” and “1” represent the depth of DLRU. It is worth mentioning that the reason for the fifth layer without the DLRU module is that further sampling of these feature maps leads to loss of useful context information due to too small resolution of feature maps. Figure  3 shows the output of each layer, and it is obvious that the depth maps from level 5 to level 2 are progressively restored from coarse to fine scales, and the depth map at level 1 preserves more local details.

The structure of the proposed LapUNet.

Depth residuals recovered at each layer of the proposed LapUNet.

Rather than resampling, the ASPP module can capture image context at multiple scales by using multiple parallel atrous convolutional layers with different sampling rates. Hence, ASPP modules are introduced to the first and fifth layers. On the one hand, RGB image in the first layer is not fed into the ResNeXt101 network for feature extraction, and thus the feature map is large. To increase the receptive field, an ASPP module is introduced to the first layer. On the other hand, to capture more dense contextual information, we add another ASPP module to the fifth layer.

In the decoding process, the DLRU module fuses the encoded features of the current layer and the output of the DLRU of the previous layer, and depth maps with different spatial resolution can be obtained by DLRU modules (DLRU-4, DLRU-3, DLRU-2, DLRU-1) and a convolutional block. To obtain good quality depth maps, the depth map fusion module, which consists of a concatenation operation and upsampling, is used for combining high and low frequency features from these depth maps with different spatial resolution.

Loss function

Considering that depth information tends to be densely concentrated in close areas and sparsely distributed in distant areas, the scale-invariant mean squared error 5 is introduced as loss function, which is defined as

where \({d_i}=\log {y_i} - \log y_{i}^{*}\) represents the difference between the estimation \({y_i}\) and ground truth \(y_{i}^{*}\) at pixel i , N denotes the total number of valid pixels, and \(\lambda\) is the balancing factor. Obviously, the higher value of the balancing factor reflects more focusing on minimizing the variance of the error, and the balancing factor is set to 0.85 in our simulation. During the training process, as ground truth is often incomplete (e.g., sparse LiDAR maps used in KITTI), we employ a method of masking invalid points. This means that the loss is computed only for the valid points with ground truth.

Experiments

The KITTI and NYU Depth V2 are widely used outdoor and indoor scene datasets for monocular depth estimation. The KITTI dataset contains various road configurations from different driving situations by employing Lidar, and the acquired images have the resolution of 1242 × 375 pixels. According to the split strategy 5 , 23,488 images from the 32 scenes are selected as the training set, while 697 images from remaining 29 scenes are selected as the testing set. Following the official guidelines of the KITTI dataset, the upper bound of depth is set to 80 m. The NYU Depth V2 dataset includes 120 K pairs of RGB and depth images by using Kinect sensors under 464 different indoor scenes. The resolution of RGB and depth images are 640 × 480 pixels. Also, adopting the same split strategy, we select 20,630 images from 249 scenes for training and 654 images from 215 scenes for testing. To fairly compare our method with other existing methods, RGB and depth images are cropped to the size of 561 × 427.

Comparative experiments

The deep learning model was implemented on the PyTorch framework with an NVIDIA GTX 2080ti GPU. The model is trained for 40 epochs with a batch size of 4 due to the GPU memory limit of single-card training. The Adam W optimizer is employed with an initial learning rate of 0.0001 and a final learning rate of 0.00001. The encoder and decoder have the weight decay factor of 0.0005 and 0, respectively. The momentum is set to 0.90. The ResNeXt101 network for encoding utilizes pre-trained weights based on the ILSVRC dataset 42 . To enhance the generalization of the model, random horizontal flip with the probability of 0.5 and random rotation between − 5 and 5° are added for data preprocessing during the training. Additionally, a scale factor in the range of (0.9, 1.1) was randomly selected to adjust the brightness, color, and gamma values of input color images.

The proposed model is evaluated on KITTI and NYU Depth V2 datasets from qualitative and quantitative points of view. Figure  4 shows the estimated depth on the KITTI dataset, and it can be seen that the depth maps estimated by our method exhibit higher clarity with fewer artifacts and contain more detailed depth structures with well localized depth edges. Thus, visualization results demonstrate the superiority of the proposed model in capturing edges and details. Especially the areas marked with green and red dashed boxes show significant improvement of the proposed model. For example, the proposed method can effectively capture small objects such as railings and poles on the road, and the estimated depth maps show clear boundaries and rich detail information. In contrast, the estimated depth maps by the other methods are lack of details and edges. Thus, the proposed method provides sharp depth boundaries.

Qualitative depth results on the KITTI dataset.

In the case of indoor scene, as depicted in Fig.  5 , it can be observed that our proposed model not only has clearer depth edges but also more detailed depth structures. In particular, complex texture variations result in depth variations in previous methods while our method can accurately predict the depth boundaries even with complex object shapes. For example, as shown in the first row of Fig.  5 , previous methods in 26 and 30 were unable to estimate the towel rack, whereas the method proposed in this paper accurately predicted the outline of the towel rack. Moreover, the proposed method demonstrates fine reconstruction of textures, edges, and other complex features in the depth maps of the chair, bookshelf, and sofa.

Qualitative depth results on the NYU Depth V2 dataset.

In order to quantitatively analyze the network, we introduced RMSE (root mean squared error), RMSLE (root mean squared logarithmic error), AbsRel (absolute relative error), SqRel (square relative error) and threshold accuracy \(\delta\) as evaluation criteria, and the results are presented in Tables  2 and 3 , respectively. It is evident that the proposed method achieved better performance on the two datasets and Lapdepth model by song et al. 30 is ranked 2nd compared with previous leading approaches. Almost all errors of our method are reduced by over 5% in comparison with the Lapdepth. Specifically, the RMSE, RMSLE, AbsRel, SqRel of the KITTI dataset are decreased by 8.14%, 6.59%, 6.78%, 5.66%, respectively, and the RMSLE, AbsRel on the NYU Depth V2 dataset are reduced markedly, up to 19.1% and 25.5%, respectively. Also, the results show that the proposed method obtain the best accuracy on the two datasets. Especially the accuracy “ \(\delta <1.25\) ” on the NYU Depth V2 dataset increases by 4.29%. All this demonstrates the superiority of the proposed method.

Furthermore, to demonstrate computational efficiency, the model size and single-frame runtime of the proposed method are compared with existing methods. As shown in Table  4 , the proposed method has the smallest model size, even slightly outperforming the Lapdepth 30 . As for the running time, our model is slightly inferior to the Lapdepth and DORN 29 , but it demonstrates the best performance on KITTI and NYU datasets.

Ablation experiment

To further demonstrate the effectiveness of each key component in the proposed architecture, i.e., the decoder based on the DLRU module and ASPP block, all ablation experiments are conducted on the KITTI dataset by removing a specific component from the proposed framework. The experiment results are presented in Table  5 , and some visualization examples of estimated depth maps on KITTI are shown in Fig.  6 .

Comparison results on the KITTI dataset with different decoder structures.

Obviously, when the DLRU and ASPP are removed, or the dynamic Laplacian residuals are replaced with traditional Laplacian residuals, the performance of the models deteriorates in terms of these metrics. In particular, the model without the DLRU has large errors compared to the proposed model, and the SqRel is increased by 29%. Also, compared to the model utilizing the traditional Laplacian operator, the proposed model performs well due to the DLRU. In Fig.  6 , it can be seen that the depth maps estimated by our model are clearer and more detailed. These results confirm the contributions of both the DLRU and ASPP components. In the reconstruction of the depth maps, the dynamic Laplace residuals is advantageous for restoring both global information and local details of the depth map, and the ASPP plays a positive role in enriching the depth map with more detailed information.

In addition, we conducted a series of benchmark experiments by replacing the ResNeXt101 with four mainstream frameworks (i.e., MobileNetV2, VGG19, ResNet-101, and DenseNet-161) in the case of keeping other settings unchanged. The comparison results are presented in Table  6 . As for the model size, the MobileNetV2 is the lightest among all models. The proposed model based on the ResNeXt101 has moderate model size, but has the best performance in terms of the error and accuracy.

Application

To explore potential applications of the estimated depth maps, we recovered some indoor scenarios by projecting the 2D pixels of the color images into 3D space. Figure  7 shows the estimated depth maps and the projected 3D point clouds from different views. The 3D reconstructions obtained by the proposed approach are close to the scene structure compared to those obtained by Laina et al. 26 . Obviously, as for our method, the whole structures of indoor scenarios are successfully reconstructed, and the floors, sofas and beds keep flat, which is consistent with real appearance. Instead, these point clouds from the method by Laina et al. 26 have more lacks and discontinuities, as shown in the red box of Fig.  7 . The 3D comparison results in Fig.  7 further prove the effectiveness of the proposed method.

Visualization of 3D point clouds on the NYU Depth V2 Dataset.

To further verify the effectiveness of the proposed method, the estimated relative depth is converted into absolute distance by the mapping relationship between the estimated depth and the true distance. In this simulation, we collect some new outdoor images in the real world and apply the LapUNet model to these unseen images. The estimated depth maps are shown in Fig.  8 , where the red points with known actual distance are used for finding the conversion relationship between relative depth and absolute distance, and the green dots are used for testing. For simplicity, linear function is used for depicting the relationship between the relative depth and the absolute distance, namely,

where \(\hat {D}\) and D represent the relative depth and the absolute distance, respectively, and k , b are the calibration parameters, whose values are determined using the least squares method.

The RGB images and the estimated depth maps in unseen scenes.

Figure  9 . shows the fitting curve, we can conclude that most red points are in the straight line, which verifies the effectiveness of linear fitting. Also, the testing points (green points) in Fig.  9 are roughly on the fitted straight line. Moreover, to quantitatively evaluate the effectiveness, the absolute error and relative error of the testing points are shown in Table  7 ; Fig.  10 , and it can be seen that all the estimated distances based on the proposed LapUNet are closest to true distances compared with other methods such as LapDepth 30 and Monodepth2 35 . Especially the relative error based on our method is less than 6%, while the maximum relative error based on the other methods are more than 15%. All this verifies the superiority and practicality of the proposed method. It is worth mentioning that the error gradually increases with the increase of measurement distance, which is consistent with theory.

The fitting line between the relative depth and the absolute distance.

The mean of absolute and relative errors of the estimated distances with different methods.

Conclusions

In this paper, the LapUNet based on encoder-decoder framework is proposed for monocular depth estimation. In the proposed model, the great innovation is to construct the decoder with the novel DLRU module, which helps the model capture high-frequency features effectively through introducing dynamic Laplacian residual. In addition, the ASPP module and the depth map fusion module are introduced to capture image context and combine high and low frequency features from depth maps with different spatial resolution, respectively. Extensive experiments on KITTI and NYU Depth V2 datasets show that the LapUNet has moderate model size and the best performance in terms of the error and accuracy in comparison with existing methods. Notably, 3D reconstruction and target ranging based on the estimated depth maps further prove the effectiveness of our proposed method. Our model is expected to be applied in the fields of autonomous driving, robotics, and AR/VR systems. However, there remain some limitations to be overcome, such as the speed and the model size. In the future, we will explore some lightweight architectures to improve the speed and decrease the model size.

Data availability

The data that support this study are freely available and were downloaded from the following public domain resources: [ https://www.cvlibs.net/ , and https://cs.nyu.edu/ ]. All data are available upon request from the corresponding author.

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Acknowledgements

This work was supported by the National Science Foundation of China (52277078, 52377168, 61903049, 51977013), Natural Science Foundation of Hunan Province of China (2022JJ30609, 2021JJ30186), and the Project of Education Bureau of Hunan Province, China (21A0210, 18C1599).

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Yanhui Xi, Sai Li & Zhikang Xu

State Key Laboratory of Disaster Prevention & Reduction for Power Grid, Changsha University of Science & Technology, Changsha, 410114, Hunan, China

School of Electronic Information and Electrical Engineering, Changsha University, Changsha, 410022, Hunan, China

College of Computer and Communication, Hunan Institute of Engineering, Xiangtan, 411104, Hunan, China

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Y.X. and S.L. wrote the main manuscript text and Z.X. prepared simulations. All authors reviewed the manuscript.

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Xi, Y., Li, S., Xu, Z. et al. LapUNet: a novel approach to monocular depth estimation using dynamic laplacian residual U-shape networks. Sci Rep 14 , 23544 (2024). https://doi.org/10.1038/s41598-024-74445-x

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Received : 01 July 2024

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DOI : https://doi.org/10.1038/s41598-024-74445-x

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