rational problem solving definition

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

By Status.net Editorial Team on May 7, 2023 — 5 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 crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

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. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

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
• Foster creative thinking

When brainstorming, remember to:

• 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.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

• Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
• Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
• Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

• Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
• Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
• Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

• Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
• Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
• Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
• How to Resolve Employee Conflict at Work [Steps, Tips, Examples]
• How to Write Inspiring Core Values? 5 Steps with Examples
• 30 Employee Feedback Examples (Positive & Negative)

Rational Decision Making: The 7-Step Process for Making Logical Decisions

Published: October 17, 2023

Psychology tells us that emotions drive our behavior, while logic only justifies our actions after the fact . Marketing confirms this theory. Humans associate the same personality traits with brands as they do with people  — choosing your favorite brand is like choosing your best friend or significant other. We go with the option that makes us feel something.

But emotions can cloud your reasoning, especially when you need to do something that could cause internal pain, like giving constructive criticism, or moving on from something you’re attached to, like scrapping a favorite topic from your team's content calendar.

There’s a way to suppress this emotional bias, though. It’s a thought process that’s completely objective and data-driven. It's called the rational decision making model, and it will help you make logically sound decisions even in situations with major ramifications , like pivoting your entire blogging strategy.

But before we learn each step of this powerful process, let’s go over what exactly rational decision making is and why it’s important.

What is Rational Decision Making?

Rational decision making is a problem-solving methodology that factors in objectivity and logic instead of subjectivity and intuition to achieve a goal. The goal of rational decision making is to identify a problem, pick a solution between multiple alternatives, and find an answer.

Rational decision making is an important skill to possess, especially in the digital marketing industry. Humans are inherently emotional, so our biases and beliefs can blur our perception of reality. Fortunately, data sharpens our view. By showing us how our audience actually interacts with our brand, data liberates us from relying on our assumptions to determine what our audience likes about us.

Rational Decision Making Model: 7 Easy Steps(+ Examples)

1. Verify and define your problem.

To prove that you actually have a problem, you need evidence for it. Most marketers think data is the silver bullet that can diagnose any issue in our strategy, but you actually need to extract insights from your data to prove anything. If you don’t, you’re just looking at a bunch of numbers packed into a spreadsheet.

To pinpoint your specific problem, collect as much data from your area of need and analyze it to find any alarming patterns or trends.

“After analyzing our blog traffic report, we now know why our traffic has plateaued for the past year — our organic traffic increases slightly month over month but our email and social traffic decrease.”

2. Research and brainstorm possible solutions for your problem.

Expanding your pool of potential solutions boosts your chances of solving your problem. To find as many potential solutions as possible, you should gather plenty of information about your problem from your own knowledge and the internet. You can also brainstorm with others to uncover more possible solutions.

Potential Solution 1: “We could focus on growing organic, email, and social traffic all at the same time."

Potential Solution 2: “We could focus on growing email and social traffic at the same time — organic traffic already increases month over month while traffic from email and social decrease.”

Potential Solution 3: "We could solely focus on growing social traffic — growing social traffic is easier than growing email and organic traffic at the same time. We also have 2 million followers on Facebook, so we could push our posts to a ton of readers."

Potential Solution 4: "We could solely focus on growing email traffic — growing email traffic is easier than growing social and organic traffic at the same time. We also have 250,000 blog subscribers, so we could push our posts to a ton of readers."

Potential Solution 5: "We could solely focus on growing organic traffic — growing organic traffic is easier than growing social and email traffic at the same time. We also just implemented a pillar-cluster model to boost our domain’s authority, so we could attract a ton of readers from Google."

3. Set standards of success and failure for your potential solutions.

Setting a threshold to measure your solutions' success and failure lets you determine which ones can actually solve your problem. Your standard of success shouldn’t be too high, though. You’d never be able to find a solution. But if your standards are realistic, quantifiable, and focused, you’ll be able to find one.

“If one of our solutions increases our total traffic by 10%, we should consider it a practical way to overcome our traffic plateau.”

4. Flesh out the potential results of each solution.

Next, you should determine each of your solutions’ consequences. To do so, create a strength and weaknesses table for each alternative and compare them to each other. You should also prioritize your solutions in a list from best chance to solve the problem to worst chance.

Potential Result 1: ‘Growing organic, email, and social traffic at the same time could pay a lot of dividends, but our team doesn’t have enough time or resources to optimize all three channels.”

Potential Result 2: “Growing email and social traffic at the same time would marginally increase overall traffic — both channels only account for 20% of our total traffic."

Potential Result 3: “Growing social traffic by posting a blog post everyday on Facebook is challenging because the platform doesn’t elevate links in the news feed and the channel only accounts for 5% of our blog traffic. Focusing solely on social would produce minimal results.”

Potential Result 4: “Growing email traffic by sending two emails per day to our blog subscribers is challenging because we already send one email to subscribers everyday and the channel only accounts for 15% of our blog traffic. Focusing on email would produce minimal results.”

Potential Result 5: “Growing organic traffic by targeting high search volume keywords for all of our new posts is the easiest way to grow our blog’s overall traffic. We have a high domain authority, Google refers 80% of our total traffic, and we just implemented a pillar-cluster model. Focusing on organic would produce the most results.”

5. Choose the best solution and test it.

Based on the evaluation of your potential solutions, choose the best one and test it. You can start monitoring your preliminary results during this stage too.

“Focusing on organic traffic seems to be the most effective and realistic play for us. Let’s test an organic-only strategy where we only create new content that has current or potential search volume and fits into our pillar cluster model.”

6. Track and analyze the results of your test.

Track and analyze your results to see if your solution actually solved your problem.

“After a month of testing, our blog traffic has increased by 14% and our organic traffic has increased by 21%.”

7. Implement the solution or test a new one.

If your potential solution passed your test and solved your problem, then it’s the most rational decision you can make. You should implement it to completely solve your current problem or any other related problems in the future. If the solution didn’t solve your problem, then test another potential solution that you came up with.

“The results from solely focusing on organic surpassed our threshold of success. From now on, we’re pivoting to an organic-only strategy, where we’ll only create new blog content that has current or future search volume and fits into our pillar cluster model.”

Avoid Bias With A Rational Decision Making Process

As humans, it’s natural for our emotions to take over your decision making process. And that’s okay. Sometimes, emotional decisions are better than logical ones. But when you really need to prioritize logic over emotion, arming your mind with the rational decision making model can help you suppress your emotion bias and be as objective as possible.

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Article • 7 min read

What Is Problem Solving?

By the Mind Tools Content Team

We all spend a lot of our time solving problems, both at work and in our personal lives.

Some problems are small, and we can quickly sort them out ourselves. But others are complex challenges that take collaboration, creativity, and a considerable amount of effort to solve.

At work, the types of problems we face depend largely on the organizations we're in and the jobs we do. A manager in a cleaning company, for example, might spend their day untangling staffing issues, resolving client complaints, and sorting out problems with equipment and supplies. An aircraft designer, on the other hand, might be grappling with a problem about aerodynamics, or trying to work out why a new safety feature isn't working. Meanwhile, a politician might be exploring solutions to racial injustice or climate change.

But whatever issues we face, there are some common ways to tackle them effectively. And we can all boost our confidence and ability to succeed by building a strong set of problem-solving skills.

Mind Tools offers a large collection of resources to help you do just that!

How Well Do You Solve Problems?

Start by taking an honest look at your existing skills. What's your current approach to solving problems, and how well is it working? Our quiz, How Good Is Your Problem Solving? lets you analyze your abilities, and signposts ways to address any areas of weakness.

Define Every Problem

The first step in solving a problem is understanding what that problem actually is. You need to be sure that you're dealing with the real problem – not its symptoms. For example, if performance in your department is substandard, you might think that the problem lies with the individuals submitting work. However, if you look a bit deeper, the real issue might be a general lack of training, or an unreasonable workload across the team.

Tools like 5 Whys , Appreciation and Root Cause Analysis get you asking the right questions, and help you to work through the layers of a problem to uncover what's really going on.

However, defining a problem doesn't mean deciding how to solve it straightaway. It's important to look at the issue from a variety of perspectives. If you commit yourself too early, you can end up with a short-sighted solution. The CATWOE checklist provides a powerful reminder to look at many elements that may contribute to the problem, keeping you open to a variety of possible solutions.

Understanding Complexity

As you define your problem, you'll often discover just how complicated it is. There are likely several interrelated issues involved. That's why it's important to have ways to visualize, simplify and make sense of this tangled mess!

Affinity Diagrams are great for organizing many different pieces of information into common themes, and for understanding the relationships between them.

Another popular tool is the Cause-and-Effect Diagram . To generate viable solutions, you need a solid understanding of what's causing the problem.

When your problem occurs within a business process, creating a Flow Chart , Swim Lane Diagram or a Systems Diagram will help you to see how various activities and inputs fit together. This may well highlight a missing element or bottleneck that's causing your problem.

Quite often, what seems to be a single problem turns out to be a whole series of problems. The Drill Down technique prompts you to split your problem into smaller, more manageable parts.

General Problem-Solving Tools

When you understand the problem in front of you, you’re ready to start solving it. With your definition to guide you, you can generate several possible solutions, choose the best one, then put it into action. That's the four-step approach at the heart of good problem solving.

There are various problem-solving styles to use. For example:

• Constructive Controversy is a way of widening perspectives and energizing discussions.
• Inductive Reasoning makes the most of people’s experiences and know-how, and can speed up solution finding.
• Means-End Analysis can bring extra clarity to your thinking, and kick-start the process of implementing solutions.

Specific Problem-Solving Systems

Some particularly complicated or important problems call for a more comprehensive process. Again, Mind Tools has a range of approaches to try, including:

• Simplex , which involves an eight-stage process: problem finding, fact finding, defining the problem, idea finding, selecting and evaluating, planning, selling the idea, and acting. These steps build upon the basic, four-step process described above, and they create a cycle of problem finding and solving that will continually improve your organization.
• Appreciative Inquiry , which is a uniquely positive way of solving problems by examining what's working well in the areas surrounding them.
• Soft Systems Methodology , which takes you through four stages to uncover more details about what's creating your problem, and then define actions that will improve the situation.

Further Problem-Solving Strategies

Good problem solving requires a number of other skills – all of which are covered by Mind Tools.

For example, we have a large section of resources to improve your Creativity , so that you come up with a range of possible solutions.

By strengthening your Decision Making , you'll be better at evaluating the options, selecting the best ones, then choosing how to implement them.

And our Project Management collection has valuable advice for strengthening the whole problem-solving process. The resources there will help you to make effective changes – and then keep them working long term.

Problems are an inescapable part of life, both in and out of work. So we can all benefit from having strong problem-solving skills.

It's important to understand your current approach to problem solving, and to know where and how to improve.

Define every problem you encounter – and understand its complexity, rather than trying to solve it too soon.

There's a range of general problem-solving approaches, helping you to generate possible answers, choose the best ones, and then implement your solution.

Some complicated or serious problems require more specific problem-solving systems, especially when they relate to business processes.

By boosting your creativity, decision-making and project-management skills, you’ll become even better at solving all the problems you face.

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Creative Problem Solving

Finding Innovative Solutions to Challenges

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Encyclopedia of Behavioral Medicine pp 1539–1540 Cite as

Problem Solving

• Seth A. Margolis 3 ,
• Patricia Osborne 3 &
• Jeffrey S. Gonzalez 3 , 4  
• Reference work entry

225 Accesses

Problem-solving skills training (PSST) ; Problem-solving therapy – primary care (PST-PC) ; Problem-solving therapy – SO (PST-SO) ; Social problem-solving therapy (SPST)

Problem-solving therapy (PST) is a brief, empirically supported, cognitive-behavioral intervention aimed at training clients to identify, evaluate, and resolve everyday problems through the methodical application of problem-solving skills. In addition to teaching specific coping skills, PST emphasizes the importance of maintaining a positive problem-solving orientation and a rational problem-solving style (D’Zurilla & Nezu, 2010 ).

An individual’s problem-solving orientation encompasses how one perceives problems, to what/whom they attribute these problems, how they appraise problematic situations, and the degree to which they view their problems as under their control. A major goal of PST is to help clients view problems as solvable challenges instead of insurmountable impasses.

A person’s problem - solvi...

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References and Readings

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Catalan, J., Gath, D. H., Anastasiades, P., Bond, S. A., Day, A., & Hall, L. (1991). Evaluation of a brief psychological treatment for emotional disorders in primary care. Psychological Medicine, 21 (4), 1012–1018.

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Houts, P. S., Nezu, A. M., Nezu, C. M., & Bucher, J. A. (1996). The prepared family caregiver: A problem-solving approach to family caregiver education. Patient Education and Counseling, 27 , 63–73.

Mynors-Wallis, L., & Gath, D. (1997). Predictors of treatment outcome for major depression in primary care. Psychological Medicine, 27 (3), 731–736.

Nezu, A. M., Nezu, C. M., & D’Zurilla, T. J. (2010). Problem-solving therapy. In N. Kazantzis, M. S. Reinecke, & A. Freeman (Eds.), Cognitive and behavioral theories in practice (pp. 76–114). New York: Guilford Press.

Nezu, A. M., Nezu, C. M., Felgoise, S. H., McClure, K. S., & Hots, P. S. (2003). Project genesis: Assessing the efficacy of problem-solving therapy for distressed adult cancer patients. Journal of Consulting and Clinical Psychology, 71 (6), 1036–1048.

Oxman, T. E., Hegel, M. T., Hull, J. G., & Dietrich, A. J. (2008). Problem-solving treatment and coping styles in primary care for minor depression. Journal of Consulting and Clinical Psychology, 76 (6), 933–943.

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Clinical Psychology, Health Emphasis, Ferkauf Graduate School of Psychology, Yeshiva University, 1300 Morris Park Avenue, Rousso Building, Bronx, NY, 10461, USA

Seth A. Margolis, Patricia Osborne & Dr. Jeffrey S. Gonzalez

Diabetes Research Center, Albert Einstein College of Medicine, Yeshiva University, Bronx, NY, USA

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Margolis, S.A., Osborne, P., Gonzalez, J.S. (2013). Problem Solving. In: Gellman, M.D., Turner, J.R. (eds) Encyclopedia of Behavioral Medicine. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1005-9_208

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10 Modeling Problem Solving

We’ve discussed in previous chapters how part of a tutor’s task is to model good learning habits. When tutors are organized, use good time management, and leverage resources, we demonstrate the skills that students can use to be successful learners.

Problem-solving is an additional skill that tutors model for students. An organized and- intentional problem-solving approach helps us to efficiently work through challenges, and many of us effectively problem solve without much thought given to our approach. 1 However, it makes sense to take a step back and do our best to model problem-solving best-practices. Remember that repeated demonstration of a tutor’s problem-solving strategies can help students learn from our example.

We know the tutor’s role is not to solve a student’s problem for them. How do we model good problem-solving, without actually solving the problem ourselves? It’s tricky, but not impossible. We can empower students to work their way through any problem by asking good questions and walking them through the steps of the process.

The Rational Problem-Solving Process

Problem-solving is something many of us have taught ourselves through practice. However, there are many scholars and professionals who have examined and broken down effective problem-solving strategies into a series of logical steps. 2 We can check our own process by reflecting on what has been written about best-practices in problem-solving, and maybe make changes to be more consistent and effective. This can better prepare tutors to guide a student through the process when we apply it in a tutoring session.

Step 1: Define the Problem

It may seem obvious to state that the first step in solving a problem is to notice that we have a problem. Unless we take time to understand precisely what is wrong, however, we may find ourselves creating a solution that doesn’t actually fix anything. It’s very common to dive straight into devising a solution only to find that we’ve solved the wrong problem. Alternatively, we might develop a solution only to discover that the real problem is bigger than we thought.

A good practice for starting out is to try to define the problem in words. By writing or stating a problem definition, we’re challenged to identify the root cause, and this information can guide us in developing effective solutions.

In a tutoring session, sometimes the problem can take a variety of forms. The problem could be:

• the literal problem given in a student’s homework assignment (a word problem in math, or a case study in biology, for example.)
• a lack of clarity in assignment instructions.
• the student not having a strategy for planning a project or starting a paper.
• the student lacking confidence to tackle their homework or study independently

Keep in mind that the form the “problem” takes will change based on the student’s needs and goals. If the problem is that the student doesn’t understand something, the first step is to identify precisely what they don’t understand. If the problem is that something is missing, then understanding exactly what necessary parts are missing is the first step.

In a tutoring session this may mean asking the student to start the process, or begin describing the concept from the beginning, until they reach the point where things become unclear. Together, you can determine where the gaps are, and begin to develop a problem definition.

Step 2: Pull from Existing Knowledge

After we’ve identified and defined the problem, the next step is to ask ourselves what we already know about the situation. Take an inventory. What information do we already have? What can we learn from the context? What resources have we been given?

When working with a student, pulling from existing knowledge might involve reviewing the concepts already covered and the student’s existing knowledge of the course material. It may also mean reaching into material and experiences outside of the student’s course.

Some helpful questions to guide this step include:

• What does the student know about topics related to the course material?
• What experience might the student have from prior courses?
• In what context might the student have heard these ideas discussed in their everyday lives or in popular culture?

When we encourage students to step back and really take account of everything they already know about the problem and its context, they can be surprised at how much knowledge they actually bring.

Step 3: Refer to support materials

Once we’ve pulled from the knowledge we already have, we can expand our search for supporting knowledge to outside resources. Are there reference materials we can access? Are there experts we can consult?

The first thing we can encourage students to do is to refer to their course texts, notes, study guides, and materials provided by the class instructor. These are often the best places to start because they’re most likely to provide relevant information. Once these resources have been referenced, we can also encourage students to look for information and guidance from other academic resources.

Students often forget that they can reference what others have written about their problem. Outside textbooks and supporting texts may offer similar ideas presented in a different way, and this could help the student approach the problem with new understanding or perspective. Online research and reference materials are good places to look for clarification of rules, theories, laws, formulas, processes, and examples. While these sources may not be quite as specific to a student’s class assignment, they can sometimes provide confirmation or clarity in areas where a student might need it.

Students should be made to feel free to leverage other academic supports as well. They are already leveraging one aspect of this support when they come to see a tutor. Other supports may include making use of the library or computer center, visiting their instructor’s office hours to ask questions, or even reaching out to other classmates. It’s always helpful for tutors to remind the student that these other supports are available and to encourage them to use these resources.

If a student is unsure or intimidated by contacting an instructor or a classmate, or is uncomfortable learning how to use other support resources, encouragement from a tutor can often be the nudge a student needs. Remind them of these supports and offer to help them access them where appropriate.

Step 4: Brainstorm Solutions

There’s usually more than one way to solve a problem, and it’s helpful to brainstorm multiple solutions to find the one that works best.

It’s important that tutors allow students to take an active role in developing their own solutions to the problem. This is where our Socratic questioning skills become really crucial and can help the students to apply what they know to the problem they’ve identified. The tutor’s role here is to facilitate the solution-generating process, contributing where appropriate, and helping to guide the student in a productive direction.

It is possible that the student will suggest a solution that we know will not solve the problem. Depending on the nature and scale of the problem, it may not always be appropriate for us to tell the student that we think it won’t work. Guiding the student through the problem-solving process is about helping students to engage with the process itself. That way, they can feel confident applying it on their own, even when a helpful tutor isn’t around to give hints. It’s up to each tutor in each situation to decide when it is appropriate to expedite the process by providing insights into solutions, and when it is best to allow students to test their solutions to determine their effectiveness.

Step 5: Test a Solution

Choose a solution and try it out. Maybe it will work! Maybe it doesn’t. Having a variety of solutions to try is why we brainstorm more than one. Though trial and error can sometimes feel frustrating, it is in the testing of our solutions that we often learn the most. We’re able to better understand the parts that work, the parts that don’t, and hopefully learn the reasons why. This can result in solutions that are more efficient and better suited to our needs.

Solution-testing is an opportunity for students to learn from mistakes in a safe, low-risk way. Often mistakes in class result in deducted points, a bad grade, or maybe an embarrassing moment in from t of classmates. As a guide through the problem-solving process, tutors can help students to see mistakes as necessary and helpful steps on the way to a solution that works, rather than as failures. It’s important that the tutor help the student see mistakes as progress, especially when a student becomes discouraged. This helps the student maintain a growth mindset while identifying ways to improve.

Step 6: Revising the Solution

When a solution doesn’t work, it may not mean the whole idea was bad. Maybe it needs some revisions and refining, but doesn’t always need to be discarded. We can use what we learned from solution-testing to make effective revisions.

This may mean we guide a student back to previous steps in the problem-solving process. Students may once more need to pull from existing knowledge, revisit those support materials, or look at some of the alternative solutions that the student developed.

Step 7: Revisit the Problem

We’ve got a solution that works! Did it fix our problem? If yes, then great!

Sometimes, however, a solution may “work,” without fixing our problem.

When this happens, we need to revisit the problem definition. Do we really understand it? Is there a detail we didn’t consider when developing our solutions? Did we misinterpret what the problem actually is when we crafted our problem definition?

At this point, perhaps we need to revise the solution once more. Sometimes in our process of researching and brainstorming, we can get off course, and taking time to refer to the initial problem can help us recalibrate our efforts and get us back on track.

Other times we may need re-define our problem. Perhaps after developing and testing several solutions, it becomes clear that the real problem is different than what we initially thought it was. Or perhaps our solutions address parts of the problem, but don’t get to the deeper root of the issue.

When a student has worked through the problem-solving process and still feels stuck, tutors can guide them to revisit the problem and clarify the initial goal. Returning to previous steps of the process as needed is normal and often necessary. Ensuring students that they’re still correctly applying the process, even when they need to jump back and forth between these steps, can help keep them from getting discouraged.

Quickwrite Exercise

Think back to a time you solved a problem in the past. It could be an obstacle you encountered in an academic setting (completing an assignment, researching for a paper, troubleshooting a technical problem) or in your personal life.

Take a moment to reflect:

• Did you use pieces of the rational problem solving process, without knowing?
• If you could go back and approach the problem again, how would you implement this problem solving approach? What would it look like? How would it have been different?

Facilitating the Problem-Solving Process

The rational problem-solving process is an excellent tool to help tutors guide students through problems big and small. This organized way of approaching the task can help us make sure we’re heading in a productive direction, from solving a math problem to developing a strategy to finish a research paper. How do we ensure we’re empowering students to use this process on their own?

It can be helpful to both tutors and students to use the process as a checklist during a problem-solving session. We can name each step as we move through, and make it clear to the student the purpose of each activity. This doesn’t mean we turn a session of math tutoring into a lesson on the problem-solving process, but explicitly stating the names of each step can make it clear to the student the purpose of each activity, and help them to become familiar with the process. If we “narrate” our process as we go, students can experience a guided problem-solving process during their tutoring session and be encouraged to apply it independently.

Once we’ve guided a student through the process, we can then provide opportunities for the student to take charge. We can prompt the student to move from step to step, supporting them in their problem-solving efforts along the way. This guided practice can help students to become well-versed in the process itself, and to feel more comfortable applying it independently. 3

Something to Try

In your next session, when a student comes to you with a problem, use your Socratic questioning skills to walk the student through the problem solving process. (This may be something you’re already implementing naturally!)

Be deliberate about each step. Assist the student in defining the problem, guide the student to collect their existing knowledge, help the student pull from reference materials available, etc.

How does it work for you?

Practicing the Problem-Solving Process

Don’t forget, that while this process is an excellent tool for helping students to solve problems during a session, it can also help tutors to problem-solve during a session!

Perhaps you encounter a student faced with a problem you yourself don’t know how to solve. No worries! The problem-solving process works just the same.

We can apply it to challenges with assignments, and we can also apply it to other issues we encounter during a tutoring session. Every student is unique, and it may take some problem-solving to learn how to best work with each student. Identifying the “problem,” pulling from our knowledge, consulting our supports, brainstorming, and testing solutions are all ways tutors can determine how best to assist students.

• Dane, E., Baer, M., Pratt, M. G., and Oldham, G. R. (2011). Rational versus intuitive problem solving: How thinking “off the beaten path” can stimulate creativity. Psychology of Aesthetics, Creativity, and the Arts.  5 (1), 3–12.  https://doi.org/10.1037/a0017698.
• Uzonwanne F.C. (2016). Rational Model of Decision Making. In: Farazmand A. (eds) Global Encyclopedia of Public Administration, Public Policy, and Governance. Springer, Cham. https://doi.org/10.1007/978-3-319-31816-5_2474-1.
• Klegeris, A., Bahniwal, M., and Hurren, H. (2017). Improvement in Generic Problem-Solving Abilities of Students by Use of Tutor-less Problem-Based Learning in a Large Classroom Setting. Life Sciences Education. 12(1), 1-116. https://doi.org/10.1187/cbe.12-06-0081.

Additional Resources:

McNamera, C. (2020). Problem Solving and Decision Making (Solving Problems and Making Decisions). Free Management Library. Authenticity Consulting LLC. https://managementhelp.org/personalproductivity/problem-solving.htm . Accessed 26 Apr. 2021.

Nezu C., Palmatier, A., and Nezu, A. (2004). Social Problem-Solving Training for Caregivers. In Chang, D’Zurilla, & Sanna (Eds.) Social Problem Solving: Theory, Research, and Training. (223-238). American Psychological Association. https://doi.org/10.1037/10805-013 .

Nezu, A., Nezu, C., and D’Zurilla, T. (2007). Solving Life’s problems: a 5 Step Guide to Enhanced Well-Being. Springer Publishing Company LLC. https://www.springerpub.com/solving-life-s-problems-9780826114891.html .

Scott, G. M., Lonergan, D. C., and Mumford, M.D. (2010).  Conceptual Combination: Alternative Knowledge Structures, Alternative Heuristics. Creativity Research Journal. 17(1), 79-98. https://www.tandfonline.com/doi/abs/10.1207/s15326934crj1701_7 .

Tutor Handbook Copyright © 2021 by Penny Feltner and gapinski is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License , except where otherwise noted.

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Using correct and logical reasoning to solve a problem

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How to Apply Rational Thinking in Decision Making

I. introduction.

Have you ever thought about how you make decisions? Every day, in different situations, we need to make a series of decisions – from what to wear or what to eat for breakfast to more significant choices like career moves or financial investments. These decisions can have far-reaching effects on our personal and professional life. That’s why it’s important to approach decision-making in a purposeful and rational manner.

Let’s begin by understanding what rational thinking is: it’s a cognitive process that involves logical and objective reasoning. Basically, it’s a method used to logically process information and make a sensible judgement or decision. It’s about thinking clearly, sensibly, and logically, ensuring our actions are not guided by emotion, bias, or prejudice.

Decisions are an integral part of our lives. However, the quality of these decisions can vary greatly based on how we approach them. Irrational or impulsive decisions can lead to negative consequences or regret. Meanwhile, employing a rational thought process can lead to well-informed, balanced decisions that we can feel confident about.

Rationality is such a pivotal aspect of thoughtful decision-making, and harnessing it can truly be life-changing. In this blog post, we will understand the concept of rational thinking, its role in decision making, and how you can adopt it in your everyday life. By the conclusion of this article, we will also present you with tips to improve these critical thinking skills, and showcase real-life scenarios where rational thinking has proven successful. Let’s embark on this rational journey. It’s decision time!

II. Understanding Rational Thinking

Rational thinking, as the term implies, refers to a certain approach or method that involves the use of reason in processing information and formulating decisions. It encourages us to act based on facts, evidence, and logic rather than succumbing to emotional impulses or personal biases.

A. Detailed Definition of Rational Thinking

Rational thinking, in the broadest sense, is the cognitive process wherein the identification and evaluation of evidence guide an action or belief. Its synonyms include critical thinking, logical reasoning, or analytical thinking, and it is the cornerstone of problem-solving, innovation, and decision-making.

This form of thinking is characterized by deductive and inductive reasoning - where you draw general conclusions from specific observations or specific conclusions from general principles.

“In its essence, rational thinking is a systematic, disciplined process demanding keen intellect and an open mind” - Dr. Janeen DeMarte, Psychologist

B. Core Elements of Rational Thinking

So, what goes into rational thinking? Here are the three major elements that define the process:

1. Objectivity

One of the primary parts of rational thinking is maintaining objectivity. This means having an unbiased outlook and assessing situations based on facts rather than personal feelings or preconceived notions. It involves a scientific approach to thinking, where all available evidence is considered before making a judgment.

Logic is the bedrock of rational thinking. Every argument or conclusion that you make via rational thinking must logically follow from the premises. Anything that contradicts this principle is considered fallacious or invalid.

Lastly, honesty is integral to rational thinking. Often people manipulate facts to match their predetermined conclusion, but rational thinking necessitates an honest approach. It involves being truthful about the facts and accepting the conclusion that follows, no matter how it aligns with initial assumptions or desires.

C. Why Is Rational Thinking Important?

Rational thinking serves as our guiding light to navigate the complexities of the world around us. The more rational we are, the better we can understand reality, solve problems, and make informed decisions. It helps us step out of our emotional chaos and subjective bias, ensuring our decisions are grounded in reason and logic.

The importance of rational thinking is not confined to grandiose decisions, but also to our routine lives. From simply deciding your daily diet to complex decisions like career planning, rational thinking plays an essential role.

“Rational thinking helps us stay aligned with reality, improve the quality of our lives, and bring us closer to our objectives.”

V. Case Study: Successful Rational Decision Making in Real-life Scenarios

Let’s delve into some real-world instances where a rational approach led to successful decision-making outcomes. These case studies provide tangible insight into how rationality can have a profound impact on the decision-making process, and underscores the value of thinking rationally in our daily undertakings.

A. Steve Jobs and the Creation of the iPhone

One celebrated instance of rational decision-making is the creation of the revolutionary product – the iPhone. Steve Jobs, the late co-founder of Apple Inc., is renowned for his resolute decision to push for the iPhone’s development despite facing internal opposition.

Jobs identified the problem – the absence of a substantial mobile device merging a music player and a communication tool. He gathered relevant information about the technological landscape, the market, potential competitors, and customer needs.

Employing logic, he assessed this data objectively and determined that such a product stood a good chance of carving a niche in the market. His bold, rational decision gave birth to one of the world’s most sought-after pieces of technology.

B. Johnson & Johnson’s Tylenol Crisis Response

Another notable example comes from the pharmaceutical industry. In 1982, Johnson & Johnson faced a severe crisis when seven people in Chicago died after consuming its widely popular product, Tylenol, which had been laced with cyanide.

Regardless of the unknown culprit being an external actor, Johnson & Johnson embarked on a highly rational decision-making process. They first recognized the problem – a massive blow to their product’s credibility and potential loss of customer trust.

Information was gathered on the scale of the disaster and potential options to reinstate public confidence. Evincing remarkable honesty, the company opted to recall all Tylenol capsules, costing them over $100 million. This proved to be a rational decision in the long term, as it exemplified their enduring commitment to customer safety and restored their damaged reputation.

C. Elon Musk’s SpaceX Venture

Elon Musk, the founder of SpaceX, offers a more recent example. His decision to enter the space industry was a steep one, as space exploration had been dominated by national governmental organizations, like NASA.

The problem Musk identified was the lack of affordable methods to explore and travel in space. Gathering information about the industry, technological capacities, and prices, he realized with objectivity the huge challenge he faced. However, he saw a possibility where others did not.

SpaceX was established to create more affordable spacecraft and has since successfully launched many missions, proving that a private company can compete in this astoundingly complex field. This indicates that rational thinking and calculated risk-taking can pave the way for ground-breaking revolutions.

VI. Tips to Improve Rational Thinking Skill

Rational thinking isn’t an inborn skill that some are privileged to have and others not. Rather, it’s a learnable skill that can be honed and developed with time, effort, consistency and patience. Here are some methods you can use to elevate your rational thinking:

A. Self-awareness

Cultivating self-awareness is the first step to improving your rational thinking skill. This involves being mindful of your thoughts, feelings, actions, and biases. Question your beliefs and conclusions, and try to understand both the emotion and rationality behind your thoughts.

“> Cultivating self-awareness is like pulling the curtain back on your internal drama, revealing the characters in play and understanding their motivations.”

Being aware of your cognitive biases can also enhance your rational thinking. Cognitive biases are thinking errors we make that can affect our decisions and judgments. For instance, the confirmation bias can block us from accepting new information. By recognizing these biases, we can counteract them and think more rationally.

B. Constant Learning

Rational thinking isn’t a static skill. Instead, it constantly needs fuel in the form of knowledge to grow stronger. Surround yourself with diverse knowledge sources such as books, podcasts, articles, seminars, conversations with people from different walks of life and industry experts. The more information you gather, the more well-rounded your understanding of the world will be, allowing for more sound judgments.

“> Lifelong learning is a limitless source of fuel for rational thoughts. It broadens your experiences and perspectives and helps you make decisions from an informed viewpoint.”

C. Cultivating Patience

Rational thinking requires patience. Quick decisions often lead to irrational outcomes. When you have more patience, you are much more likely to gather all the relevant information and think the situation over before coming to a decision. Be patient, take the time to think, and do not be swayed by the impulsiveness that often accompanies decision-making.

“> Patience is more than simply waiting. It’s the ability to keep a good attitude while working hard, focusing on your goal and trusting in the process.”

Remember, rational thinking is a journey, not a destination, and growth often takes effort to realize. But with consistency, self-awareness, patience, and the desire to learn, you can substantially improve your rational thinking skills and make more informed and logical decisions in your day-to-day life.

VII. Conclusion

In conclusion, it’s clear that rational thinking is a highly beneficial tool when it comes to decision making. Logic, honesty and objectivity are the key elements that enable us to make rational decisions.

“Rational thinking is not just about making decisions that benefit us in the short term, it’s about making decisions that will continue to benefit us in the long run.”

If we let our situations, emotions or biases determine our decisions, we may face unfavorable outcomes. Hence, exercising rationality helps us avoid the negative consequences of irrationality.

Rational thinking doesn’t only enable us to make well thought-out decisions, it also allows us to understand why we make certain decisions. We learnt about a simple step-by-step guide which can be integrated into our everyday life, helping us approach even the most complex problems rationally.

Remember the stories of successful rational decision making we shared? They provide real-life examples of how beneficial rational thinking can be. These people were able to achieve great things by thinking rationally and you can too!

Furthermore, we should always strive to improve our rational thinking skills. This can be achieved by promoting self-awareness, practicing patience, and dedicating ourselves to constant learning.

All in all, it’s important to realize that our decisions shape our lives. Consequently, the way we approach our decisions plays a big role in determining our successes and failures. By incorporating rational thinking into our decision making, we can ensure that we’re making the best possible decisions that will lead us towards our desired outcomes.

To paraphrase a famous quote,

“Every decision we make, and every step we take, is a result of our thinking. Therefore, if we want to change our lives, we must first change our thinking.”

Let’s strive to apply rational thinking in our everyday decision making and see the powerful positive impact it can have on our lives!

VIII. Call to Action

In conclusion, rational thinking plays a crucial role in making sound decisions personally or professionally.

“The key to good decision making is evaluating alternatives carefully and thoroughly. This calls for us to utilize our cognitive abilities rationally.”

Taking the time to analyze situations objectively, consider all feasible options, and logically draw conclusions will greatly improve our decision-making abilities.

Implement Rational Thinking

Now that you have a better understanding of rational thinking’s importance in decision-making, it is time to evaluate your own decision-making processes. Start by identifying opportunities in your daily life where you can apply rational thinking. You may be surprised at how often you encounter decision-making scenarios. From determining what to have for breakfast, choosing the route for your daily commute to making important business decisions, rational thinking can be applied intelligibly.

Continuous Improvement

Enriching rational thinking skills isn’t a process that happens overnight. It requires sustained effort and continuous learning.

• Try to maintain a continuous self-awareness of your decision-making processes.
• Aim to always gather relevant information before making decisions.
• Strive to interpret the given information objectively without any personal bias.
• Ensure to consider all possible options and outcomes before coming to a conclusion.

In addition, developing patience is equally critical as rushing through decisions can lead to errors in judgment.

“Genius might be the ability to say a profound thing in a simple way.” ~ Charles Bukowski

The beauty of rational thinking lies in its simplicity. It’s about being grounded in reality, and making decisions logically.

Further Resources

While this post provides a good starting point, there’s much more to explore when it comes to rational thinking and decision making. Books, online courses, and workshops can provide in-depth information and practical exercises to help you further improve your rational thinking skills. Search for resources that best suit your learning style, and make a commitment to continuous growth.

Remember, every decision we make shapes our life. Thus, each decision, no matter how small, should be made after thorough rational consideration. Adopt rational thinking today and make it an integral part of your daily life. Your future self will thank you!

Unlock Your Purpose Through Passion

Effective negotiation strategies, 3 steps to improved rational thinking, 5 surprising statistics about rational thinking, 10 irrational thoughts we must eliminate, why do we often lack rational thinking.

Rational Decision-Making Model: Meaning, Importance And Examples

What is the rational decision-making model? Rational decision-making is a method that organizations, businesses and individuals use to make the…

What is the rational decision-making model? Rational decision-making is a method that organizations, businesses and individuals use to make the best decisions. Rational decision-making, one of many decision-making tools, helps users come up with the most suitable course of action. In this blog, we will look at the meaning of rational decision-making, the importance of rational decision-making and study some rational decision-making examples.

Rational decision-making is a process in which decision-makers go through a set of steps and processes and choose the best solution to a problem. These decisions are based on data analysis and logic, eliminating intuition and subjectivity.

Rational decision-making means that every variable factor, every piece of information about all the available options, has been taken into account. 

What Is The Rational Decision-Making Model Used For?

What is the rational decision-making process, non-rational decision making.

The most basic use of the rational decision-making model is to ensure a consistent method of making decisions. This could be used as a standardized decision-making tool across an organization or to ensure that all managers receive the same information to make decisions. The rational decision-making process can be used to maintain a structured, step-by-step approach for every decision.

What Is The Rational Decision-Making Process ?

How the rational decision-making model is implemented can be explained in seven steps:

(There is also an example to help you understand the importance of rational decision-making)

1. Understand and define the scope

Just stating that a problem exists isn’t enough. Solid, accurate data is required to understand and analyze the problem in depth. This lets you know how much attention it requires.

It’s vital to collect as much relevant and accurate data around the problem as possible.

Here’s a rational decision-making example:

Your social media posts aren’t translating to conversions. What could the problem be? Once the analytics reports come in, you realize there isn’t enough engagement. The issue isn’t that your posts are not reaching the right audience, it’s that they don’t engage them. This sets up the next step: figuring out why the problem exists. Why is user engagement low?

2. Research and get feedback

The next step in the rational decision-making process is to delve into the problem. Find out what is causing the problem and how it can be solved. You could start with a brainstorming session and find out what your team thinks.

Rational decision-making example continued:

The budget is good, there are enough views and likes on the posts. So, why is there a lack of engagement? Why aren’t users interacting with the post? Why aren’t they clicking on the CTA?

You might need new types of posts; perhaps the current posts aren’t trendy. Maybe the posts don’t evoke an emotional response from the audience. Or they don’t convey what the product can do for the audience.

Now that you know what the causes could be, you are a step closer. It’s time to collate the data.

The team comes together with their opinions and findings. After a few customer surveys, the major issues are identified as follows:

• Potential consumers don’t know how the product will add value to their lives.
• Potential customers don’t understand the posts’ objectives and aren’t clear on what the product is.

3. List your choices

There are bound to be a host of opinions and innumerable choices about how to address the issue. Consider all of them so that you don’t create more problems later.

This is where you start to use rational decision-making:

Now that the problem has been understood, it’s time to list your options.

You could create a post that showcases what the product does.

You could have an informative GIF that shows that product in action.

You could create additional whitepapers to showcase how the product adds value and thus is beneficial for the customer to buy.

The analytics show that traffic isn’t the issue, so you don’t have to focus on garnering more traffic. Your focus has to be on conversions.

Your color schemes and CTA could be a little more impactful.

Maybe video clips are the way to go?

4. Analyze your options carefully

Now that you have all the options in front of you, cross out the ones that don’t add value or don’t solve the problem. Understand how each of the potential solutions could turn out and what other effects they could have.

Point 6 is about having a back up plan. Once you’ve chosen the plan that is likely to serve you the best, choose the second best option as well. You could use that as your back up, in case things don’t go according to plan.

While it’s great to get a quick solution to a real problem, the solution should be permanent or at least solve the majority of the issue.

The example of the rational decision-making process continued:

This is where you set about deciding the benefits of each of your choices mentioned above.

A video clip post would mean additional costs.

Redesigning the graphics may lead to more views and interaction but dilute your following.

A whitepaper is a good idea, but it doesn’t help with conversions. It’s ideal for customers to click on the CTA.

While GIFs are very popular, the image you choose has to convey the right information and be impactful. You may need to rework the branding for this to work.

While it would be great to have a post that showcases how the product works, it can’t be overly technical.

5. Understand the results you want

This is where the importance of rational decision-making comes into play. Understand what you expect from the solutions. There has to be a clear outcome because of the decision that is made. Knowing what you expect from your actions is important. It’s always a good idea to test the solution to see if it resolves the problem entirely.

Rational decision-making model example continued:

The best course of action might be to assign different teams for the different potential solutions.

One team could create a GIF, while the other works on the video clip and another on the ‘how to use’ post.

Once the teams have all made rough drafts, a productive critiquing session could be conducted. The teams can then look at each others’ solutions and point out the merits and drawbacks of each.

This way a general consensus can be reached and the best option or options can be selected. It is also advisable to use predictive social media tools. There are algorithms and equations that could help predict the success of a post to some degree.

6. Have a backup plan

While this may not always be necessary and can be a little cost-intensive, it may be worthwhile to have a backup plan if the solution doesn’t give you the intended results. This means that you should either have another strategy in place, created using the rational decision-making model .

Even though your plan has been made after careful thought, there is a chance that it either does not go as per plan or that an external factor interferes and throws your plan into chaos.

Try to have a back-up plan to make sure that your business isn’t impacted.

Now that you’ve decided to go with a combination of a GIF and an information-based post, go ahead and begin drafting your white paper as well.

7. Implement

Once the team has done all the work and created the solution, implement it. Implementing this plan means that everyone has to be on board. This means that everyone should be informed and be willing to contribute in executing the plan. The plan won’t work if everyone isn’t working toward the same goal.

As logic and data have been used to reach the decision, it’s likely going to be the most effective one.

Non -Rational Decision-Making

Non-rational decision-making is quite simply the opposite of rational decision-making . Non-rational decision-making is generally used when there isn’t enough information available or when there isn’t enough time to carry out the research and analysis required to employ rational decision-making methods.

Non-rational decision-making can be used when the person or team making the decisions has experienced that issue before or their collective experience allows them to predict what the outcome of their decision would be.

To sum it up, rational decision making can be the difference between a high performance culture driven by results and an unorganized setting. If you would like to drive decisions that guarantee results, you have to employ strategies that kindle organizational objectives based on real data. Let’s sum up the steps explained in this post about the importance of rational decision-making.

• Understand and define the scope
• Research and get feedback
• List your choices
• Analyze your options carefully
• Understand the results you want

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Kepner Tregoe Method of Problem Solving

Kepner Tregoe Method of Problem Solving: this article explains the Kepner Tregoe Method , also known as the KT-method , developed by Charles Kepner and Benjamin Tregoe in a practical way. Next to what this is, this article also highlights rational processes, the importance of cause and that this method is effective. After reading, you’ll have a basic understanding of this problem solving process. Enjoy reading!

What is the Kepner Tregoe Method?

Problems occur in any given organization. Often there is pressure of time to solve the problems and it is debatable what the right way of solving these problems is.

The Kepner Tregoe method or KT-method is a problem analysis model in which the “problem” is disconnected from the “decision” . An English synonym for this problem solving method is Problem Solving and Decision Making (PSDM).

Traditional thinking pattern

The founders Charles Kepner and Benjamin Tregoe developed a rational working method in the 1960s in which they researched and identified the troubleshooting skills of people.

Throughout the centuries mankind has learned to deal with complexity and to (directly) anticipate on this. As a consequence, the traditional thinking pattern became a part of human nature.

When solving problems people search for the answer to the following four questions:

• What happened?
• Why did it happen?
• How should we act?
• What will be the (future) result?

Kepner Tregoe method: rational processes

To break through this traditional pattern Charles Kepner and Benjamin Tregoe came up with four rational processes in which four fundamental questions are reflected:

1. Situation analysis

This clarifies the problem situation (what happened).

1.1 Problem analysis

Here the actual cause of the problem and the relationship between cause and result are searched for (why did it happen).

1.2 Decision analysis

Based on the decision making criteria, choices are made to arrive at potential problem resolutions (how should we act).

1.3 Potential Problem analysis

Figure 1 – Kepner Tregoe Method Analysis

Distinction

According to the KT-method, different tasks involve different problems, which in turn need different approaches. A situation analysis will clarify the distinctions in all these processes and as a result it will be possible to search for suitable solutions. This situation analysis provides an insight into necessity, priority and urgency of the various tasks.

When it has become clear which tasks are to be prioritized (action list) preparations can be made for potential problems. By using a good problem analysis in advance, a process will be created to prevent future problems or in emergencies, to limit the damage.

The strengths of this method does not stop there. Apart from the fact that problems are specified in terms such as “what, where, when and how big”, the Kepner Tregoe Method focuses on anything that cannot be the cause of the problem.

Certain causes are therefore excluded. Based on a “this is” and “this is not” analysis a clear overview of possible causes can be created and this makes the troubleshooting process consistent.

The Kepner Tregoe Method is efficient

The KT-method deploys an efficient troubleshooting process. Through research Charles Kepner and Benjamin Tregoe discovered that the registration of a problem is not a uniform process. In spite of the available information, people usually process information badly, misinterpret this or overlook important matters.

In addition, Charles Kepner and Benjamin Tregoe examined the discrepancies between successful and less successful troubleshooting.

They discovered that a predetermined logical method facilitates the search for the causes of a problem. In their “Best practice in troubleshooting” , they describe this methodology, which forms the basis for this method.

The Kepner Tregoe Method is Effective

This method is universal and is still used today in many organizations to track down problems and identify potential causes. Apart from the fact that the Kepner Tregoe Method leads to an explanation of problems, it also helps improve mutual understanding within an organization.

It’s Your Turn

What do you think? Is the Kepner Tregoe Method applicable in today’s modern organizations? Do you recognize the practical explanation or do you have more suggestions? What are your success factors for the good Kepner Tregoe Method set up?

Share your experience and knowledge in the comments box below.

More information

• Lussier, R. N.  (2005). Management fundamentals: concepts. applications, skill development . Cengage Learning .
• Payne, S. L. & Marty, C.S. (1966). The Rational Manager: A Systematic Approach to Problem Solving and Decision Making . Journal of Marketing. Vol. 30 Issue 1, p97.
• Kepner, C. H. & Tregoe, B. B. (1965). The Rational Manager . McGraw-Hill.

How to cite this article: Mulder, P. (2012). Kepner Tregoe Method . Retrieved [insert date] from Toolshero: https://www.toolshero.com/problem-solving/kepner-tregoe-method/

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Patty Mulder

Patty Mulder is an Dutch expert on Management Skills, Personal Effectiveness and Business Communication. She is also a Content writer, Business Coach and Company Trainer and lives in the Netherlands (Europe). Note: all her articles are written in Dutch and we translated her articles to English!

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4 responses to “kepner tregoe method of problem solving”.

I am stunned to read that the Kepner Tregoe Method “…… IS STILL used today in many organizations to track down problems and identify potential causes…..”. I have used it all the time along my career as a manager of organizations, with extreme success. As a tool for identifying problems, as a tool for taking better decisions. So, please, I would appreciate to know what kind of system is being used now instead of an approach like K-T, to have provoked your comment about the existence of an alternative way of thinking.

Other than KT, I also use the Analytic Hierarchy Process (AHP) Like KT, it forces discipline and analysis and it helps to explain why decisions are made with understandable background and data. Many of the old Total Quality Management tools are also useful for solving problems and making good management decisions. Nominal Group Technique, Pareto Charts, and weighted multivoting are all quite useful. ITIL is the new way of thinking, but it can be rather dry and robotic unless it is underpinned with good decision tools.

Thank you for your comment and sharing your experience Pete.

Seems that I naturally deal with problems this way without knowing a name for it. In fact, it seems obvious to me that this approach should be taken anyway.

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Rational Problem-Solving Process

Rational Problem-Solving Process Rational Problem-Solving Process Problem solving, as well as management is a complicated process, because it is a never-ending series of interrelated steps. Decision is important as everything is connected to and comes from it. Solve the problem requires a set of choices and not just a single solution. Therefore, the problem-solving process is a complex one that can be presented through five-stages. Stages of rational problem-solving: Diagnose the problem. The first step in solving the problem is coming up with the definition or diagnosis of the problem, and it should be correct and complete. There are two ways to address the problem. According to the first one, the problem is the situation where the goals are not met. In other words, you will learn about the problem. The problem can be considered as a potential opportunity. For example, actively seeking ways to improve the efficiency of a unit, even if things go well, will be proactive management. In this case, you are aware of the problem, when you realize that something can be done to improve the course of business, or to benefit from possible. By doing so, you are acting as the manager-entrepreneur. Fully defining the problem is often difficult, because all parts of the organization are interrelated. Marketing manager job, for example, affects the sales manager, research and development department, and any other person in the company. Similarly, laboratory work affects the doctors in the hospital. If the laboratory makes a mistake, the doctor is likely to make it worse, as his decisions are based on laboratory results. In a large organization there may be hundreds of such relationships. So, as they say, to correctly identify the problem is half solving it. As a result, the diagnosis of the problem itself is often the procedure in a few steps with the adoption of an interim award. The first phase in diagnosing complex problems is awareness and establishing the symptoms of difficulties or opportunities available. Some common symptoms of the disease organizations are low income, sales, productivity and quality, excessive costs, many conflicts in the organization and high staff turnover. Usually, several symptoms are complementary such as Excessive costs and low profits. Identification of symptoms helps determine the problem in general terms. This also helps reduce the number of factors that should be considered in relation to governance. However, just as a headache can be a symptom of fatigue or brain tumor, a common symptom of the type of low profitability could be due to many factors. Therefore, as a rule, it is advisable to avoid immediate action to eliminate the symptoms, which are prone to some of the leaders. By analogy with the doctor who takes the analysis and study it in order to establish the true cause of the disease, the manager must penetrate deeply into the essence to identify reasons for the ineffectiveness of the organization. The need to properly identify the symptoms and causes of the consultant senior executives of the company cannot be ...

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RATIONAL THINKING

Rational Thinking: A Comprehensive Overview

Rational thinking is a cognitive process that involves using logic and reasoning to analyze a specific problem or situation. It is a process of making decisions based on facts, evidence, and logical conclusions. Rational thinking is a fundamental skill for problem-solving and decision-making. This article provides an overview of rational thinking, including its definition, benefits, and strategies for applying it.

Definition of Rational Thinking

Rational thinking is defined as the usage of logical arguments and evidence-based reasoning to evaluate and understand a situation or problem. It is the process of reasoning logically and objectively in order to reach a conclusion. Rational thinking is contrasted with emotional thinking, which is based on feelings rather than facts and logic.

Benefits of Rational Thinking

Rational thinking has numerous benefits, including the ability to make better decisions, improve problem-solving skills, and develop critical-thinking skills. Rational thinking can also help to avoid irrational decisions that can lead to negative outcomes. Additionally, rational thinking can reduce stress and anxiety, as it allows people to evaluate a situation logically and objectively.

Strategies for Applying Rational Thinking

There are several strategies for applying rational thinking. These include gathering all of the facts and information available, considering all of the potential outcomes of a decision, analyzing the situation from different perspectives, and examining the evidence to make an informed decision. Additionally, it is important to consider the long-term implications of a decision, as well as to remain objective and unbiased.

Rational thinking is a cognitive process that involves using facts, evidence, and logical reasoning to make decisions. It can have numerous benefits, such as improving problem-solving skills, developing critical-thinking skills, and avoiding irrational decisions. There are several strategies for applying rational thinking, including gathering facts and information, considering potential outcomes, and remaining objective and unbiased.

Benson, D. (2019). Rational Thinking: Definition, Benefits, and Strategies. Verywell Mind. https://www.verywellmind.com/what-is-rational-thinking-2794851

Fascione, G. (2013). Benefits of Rational Thinking. Psychology Today. https://www.psychologytoday.com/us/blog/the-decision-tree/201307/benefits-rational-thinking

O’Brien, G. (2019). Rational Thinking: A Definition and Examples. The Balance Careers. https://www.thebalancecareers.com/rational-thinking-definition-and-examples-4169356

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Course: Algebra 2   >   Unit 10

Rational equations intro.

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• Equations with rational expressions (example 2)
• Rational equations
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Video transcript

Solving Rational Expressions

What are Rational Expressions？

Rational expressions are fractions where both the numerator and the denominator are polynomials. The term "rational" stems from the word "ratio," as these expressions represent ratios of polynomials. Just like rational numbers can be considered as ratios of integers, rational expressions are ratios of polynomial expressions.

Key Properties:

• Undefined Values : Rational expressions are undefined when the denominator is equal to zero, as division by zero is undefined in mathematics. Identifying the values for which the denominator is zero is crucial when working with rational expressions.
• Simplification : Similar to numerical fractions, rational expressions can often be simplified by factoring both the numerator and the denominator and then canceling out common factors.
• Operations : You can perform arithmetic operations such as addition, subtraction, multiplication, and division with rational expressions. These operations often require finding a common denominator or factoring.
• Domain : The domain of a rational expression includes all real numbers except those that make the denominator zero.

Simplification and Operations:

• Simplification : If any common factors exist in both the numerator and the denominator, they can be canceled out. For example, $\frac{x^2 - 1}{x^2 + x - 2}$ can be simplified by factoring to $\frac{(x + 1)(x - 1)}{(x + 2)(x - 1)}$, and then canceling $(x - 1)$ results in $\frac{x + 1}{x + 2}$.
• Addition/Subtraction : To add or subtract rational expressions, you must first find a common denominator. For example, adding $\frac{1}{x}$ and $\frac{1}{x + 1}$ requires a common denominator of $x(x + 1)$.
• Multiplication/Division : When multiplying, you multiply the numerators together and the denominators together. Division is performed by multiplying by the reciprocal of the divisor.

Solving Rational Expressions Step by Step

Solving rational expressions typically involves finding values of the variable that make the expression equal to another value (often zero), while ensuring the denominators are not zero. Here's a step-by-step process using a generic example.

Example Problem:

Solve the rational equation $\frac{x - 3}{x + 2} = \frac{4}{x - 1}$.

Step 1: Identify Restrictions

First, identify any values that would make any denominators zero since division by zero is undefined. For this example:

• $x + 2 = 0 \Rightarrow x \neq -2$
• $x - 1 = 0 \Rightarrow x \neq 1$

Step 2: Find a Common Denominator

We need a common denominator to combine the fractions. In this case, the least common denominator (LCD) is $(x + 2)(x - 1)$.

Step 3: Multiply Each Side by the LCD

This eliminates the denominators:

$ \left(\frac{x - 3}{x + 2}\right)(x + 2)(x - 1) = \left(\frac{4}{x - 1}\right)(x + 2)(x - 1) $

Simplifying, we get:

$ (x - 3)(x - 1) = 4(x + 2) $

Step 4: Expand and Simplify

$ x^2 - 4x + 3 = 4x + 8 $

Bringing everything to one side:

$ x^2 - 8x - 5 = 0 $

Step 5: Solve for $x$

Now you have a quadratic equation. You can solve it using factoring (if possible), completing the square, or the quadratic formula. This equation doesn't factor nicely, so we'll use the quadratic formula where $a = 1, b = -8, c = -5$:

$ x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(1)(-5)}}{2(1)} $ $ x = \frac{8 \pm \sqrt{64 + 20}}{2} $ $ x = \frac{8 \pm \sqrt{84}}{2} $ $ x = 4 \pm \frac{\sqrt{84}}{2} $

$ x = 4 \pm \frac{\sqrt{4 \cdot 21}}{2} $

$ x = 4 \pm \frac{2\sqrt{21}}{2} $

$ x = 4 \pm \sqrt{21} $

Step 6: Check for Extraneous Solutions

Check if $x = 4 \pm \sqrt{21}$ makes any original denominator zero. They do not, but remember to consider the restrictions identified in Step 1. Both solutions are valid as they don't equal the restricted values.

Final Answer:

Plotting: $\frac{x - 3}{x + 2} = \frac{4}{x - 1}$

FAQs About Rational Expressions

What is the formula of rational expression.

A rational expression is similar to a fraction, but instead of integers, its numerator and denominator are polynomials. The general formula for a rational expression can be represented as:

$ \frac{P(x)}{Q(x)} $

where $P(x)$ and $Q(x)$ are polynomials, and $Q(x) \neq 0$. The condition $Q(x) \neq 0$ is crucial because division by zero is undefined.

Components:

Numerator $(P(x))$ : This is a polynomial that can be a constant (such as 7), a single variable (such as $x$), or more complex expressions involving variables raised to whole number powers and their coefficients (such as $3x^2 - 2x + 5$).

Denominator $(Q(x))$ : This is also a polynomial and follows the same structure as the numerator but must not be equal to zero for any value of $x$ in the domain of the expression.

Example Rational Expressions:

Simple Fraction : $\frac{3}{x}$ - Here, $P(x) = 3$ and $Q(x) = x$.

Polynomial Fraction : $\frac{x^2 - 4}{x - 2}$ - In this case, $P(x) = x^2 - 4$ and $Q(x) = x - 2$.

Complex Rational Expression : $\frac{3x^3 - 2x^2 + x - 1}{2x^2 - 5x + 3}$ - Here, both $P(x)$ and $Q(x)$ are polynomials of degrees 3 and 2, respectively.

How do you know if a number is irrational?

A number is irrational if it cannot be expressed as a simple fraction $\frac{a}{b}$, where $a$ and $b$ are integers (with $b$ not equal to zero). Here are key characteristics and methods to identify if a number is irrational:

Non-Terminating, Non-Repeating Decimal : An irrational number has a decimal expansion that neither terminates nor repeats. Unlike rational numbers, which either terminate or have a repeating pattern after a certain point, irrational numbers continue infinitely without repetition.

Square Roots of Non-Perfect Squares : The square roots (and other roots) of non-perfect squares are often irrational. For example, $\sqrt{2}$, $\sqrt{3}$, and $\sqrt{5}$ are irrational, whereas $\sqrt{4}$ or $\sqrt{9}$ are rational ($2$ and $3$, respectively).

Pi ($\pi$) and Euler's Number ($e$) : Certain mathematical constants are known to be irrational. Pi ($\pi$), the ratio of a circle's circumference to its diameter, and Euler's number ($e$), the base of the natural logarithm, are both irrational.

Algebraic Irrationals : Numbers that are solutions to polynomial equations with integer coefficients, which cannot be expressed as rational numbers, are irrational. For example, $\sqrt[3]{5}$ or $1 + \sqrt{2}$, which cannot be simplified to a fraction of integers.

Testing for Irrationality : Directly proving a number is irrational often involves a proof by contradiction. For example, one of the most famous proofs is that of the irrationality of $\sqrt{2}$, which assumes $\sqrt{2}$ is rational (expressible as $\frac{a}{b}$ in simplest form), then shows this assumption leads to a contradiction.

Example Proof: $\sqrt{2}$ is irrational

• Assume $\sqrt{2}$ is rational, meaning $\sqrt{2} = \frac{a}{b}$, where $a$ and $b$ are co-prime integers (their greatest common divisor is $1$).
• Squaring both sides gives $2 = \frac{a^2}{b^2}$, so $a^2 = 2b^2$.
• This implies $a^2$ is even, so $a$ must also be even (since the square of an odd number is odd).
• If $a$ is even, it can be written as $a = 2k$, where $k$ is an integer.
• Substituting $a$ into $a^2 = 2b^2$ gives $4k^2 = 2b^2$, so $b^2 = 2k^2$, implying $b^2$ and hence $b$ is also even.
• Both $a$ and $b$ being even contradicts the assumption that $a$ and $b$ are co-prime.
• Therefore, $\sqrt{2}$ cannot be rational, meaning it is irrational.

What 2 methods are used to simplify rational expressions?

Simplifying rational expressions involves reducing them to their simplest form, making them easier to work with or understand. Two primary methods often used to simplify rational expressions are:

• Factoring and Canceling Common Factors

This method is perhaps the most commonly used approach for simplifying rational expressions. It involves factoring both the numerator and the denominator and then canceling out any common factors that appear in both. Here's how it works:

• Step 1: Factorize both the numerator and the denominator of the rational expression into their prime factors or into polynomial factors.
• Step 2: Cancel Common Factors that appear in both the numerator and the denominator. Remember, you can only cancel factors (not terms that are added or subtracted).
• Step 3: Rewrite the Expression with the remaining factors. If all factors were canceled, the expression simplifies to 1.

Example : $\frac{6x^2}{9x}$

• Factorize: $\frac{6x^2}{9x} = \frac{2 \cdot 3 \cdot x \cdot x}{3 \cdot 3 \cdot x}$
• Cancel Common Factors: $\frac{2x}{3}$
• Using the Greatest Common Factor (GCF)

For expressions where factoring by grouping or looking for patterns isn't straightforward, using the Greatest Common Factor (GCF) of the numerator and the denominator to simplify the expression is effective. This involves:

• Step 1: Identify the GCF of the terms in the numerator and the denominator separately.
• Step 2: Divide both the numerator and the denominator by their respective GCFs.
• Step 3: Rewrite the Expression with the simplified numerator and denominator.

Example : $\frac{12x^3 - 18x^2}{6x}$

• Identify GCF: For the numerator, $6x^2$ is the GCF; for the denominator, it’s $6x$.
• Divide by GCF: $\frac{12x^3 - 18x^2}{6x} = \frac{6x^2(2x - 3)}{6x}$
• Simplify: $\frac{2x - 3}{1} = 2x - 3$

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