“Do I really have no access to transport?”
“Can I really not afford to buy a car?”
The questions have to be asked, is the stated goal the real goal? Are the barriers actual barriers and what other barriers are there? In this example, the problem at first seems to be:
Goal | Barrier 1 | Barrier 2 |
Take the job | No transport | No money |
This is also a good opportunity to look at the relationships between the key elements of the problem . For example, in the 'Job-Transport-Money' problem, there are strong connections between all the elements.
By looking at all the relationships between the key elements, it appears that the problem is more about how to achieve any one of three things, i.e. job, transport or money, because solving one of these sub-problems will, in turn, solve the others.
This example shows how useful it is to have a representation of a problem.
Visual and verbal representations include:
Chain diagrams are powerful and simple ways of representing problems using a combination of diagrams and words. The elements of the problem are set out in words, usually placed in boxes, and positioned in different places on a sheet of paper, using lines to represent the relationship between them.
Chain Diagrams are the simplest type, where all the elements are presented in an ordered list, each element being connected only with the elements immediately before and after it. Chain diagrams usually represent a sequence of events needed for a solution. A simple example of a chain diagram illustrates the job-transport-money example as as follows:
TAKE JOB |
Flow charts allow for inclusion of branches, folds, loops, decision points and many other relationships between the elements. In practice, flow charts can be quite complicated and there are many conventions as to how they are drawn but, generally, simple diagrams are easier to understand and aid in 'seeing' the problem more readily.
Tree diagrams and their close relative, the Decision Tree , are ways of representing situations where there are a number of choices or different possible events to be considered. These types of diagram are particularly useful for considering all the possible consequences of solutions.
Remember that the aim of a visualisation is to make the problem clearer. Over-complicated diagrams will just confuse and make the problem harder to understand.
Listing the elements of a problem can also help to represent priorities, order and sequences in the problem. Goals can be listed in order of importance and barriers in order of difficulty. Separate lists could be made of related goals or barriers. The barriers could be listed in the order in which they need to be solved, or elements of the problem classified in a number of different ways. There are many possibilities, but the aim is to provide a clearer picture of the problem.
1. Get money |
A visual representation and a working definition together makes it far easier to describe a problem to others. Many problems will be far more complex than the example used here.
Continue to: Investigating Ideas and Possible Solutions
See also: Social Problem Solving Project Management Risk Management
By Status.net Editorial Team on May 7, 2023 — 5 minutes to read
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.
The problem-solving process typically includes the following steps:
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:
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:
Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:
After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.
Implement the chosen solution and monitor its progress. Key actions include:
Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.
During each step, you may find it helpful to utilize various problem-solving techniques, such as:
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:
When brainstorming, remember to:
For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:
SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:
SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.
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:
Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.
In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:
In educational contexts, problem-solving can be seen in various aspects, such as:
Everyday life is full of challenges that require problem-solving skills. Some examples include:
In today’s fast-paced and complex world, the ability to solve problems is an essential skill that can greatly impact our personal and professional lives. Whether it’s finding a solution to a technical issue or resolving a conflict with a colleague, problem solving is a valuable tool that can help us overcome challenges and achieve our goals. In this article, we will explore the concept of problem solving, the stages involved, various problem-solving techniques, common barriers, and ways to enhance this critical skill.
At its core, problem solving can be defined as the process of finding solutions to issues or challenges that arise in different situations. It involves identifying the problem, evaluating potential solutions, and implementing the most effective one.
Problem solving is a fundamental aspect of human cognition and is essential for navigating the complexities of everyday life. From solving puzzles and riddles to addressing complex societal issues, problem solving is a skill that we constantly rely on.
When faced with a problem, our brains engage in a series of cognitive processes to analyze the situation, generate possible solutions, and evaluate their potential effectiveness. This cognitive process involves critical thinking, logical reasoning, and creativity.
Problem solving is not just about finding quick fixes; it is about addressing the root cause of a problem and devising sustainable solutions. It requires analytical thinking, logical reasoning, creativity, and open-mindedness.
Analytical thinking involves breaking down complex problems into smaller, more manageable parts, allowing us to better understand the underlying issues. Logical reasoning helps us make sense of the information available and identify patterns or connections that can lead to potential solutions.
Creativity plays a crucial role in problem solving by enabling us to think outside the box and come up with innovative solutions. It involves exploring different perspectives, challenging assumptions, and considering alternative approaches.
Open-mindedness is also essential in problem solving, as it allows us to consider different viewpoints and ideas. By being open to new possibilities, we can expand our problem-solving repertoire and increase the likelihood of finding effective solutions.
Effective problem solving skills are crucial for success in various areas of life. Whether it’s in our personal or professional lives, being able to tackle challenges effectively can lead to personal growth, improved decision-making, and enhanced problem-solving abilities.
In the workplace, problem solving skills are highly valued by employers. Employees who can identify and resolve issues efficiently contribute to a more productive and efficient work environment. They are also better equipped to handle unexpected situations and adapt to changing circumstances.
Outside of work, problem solving skills are equally important. They enable us to navigate personal relationships, make informed decisions, and overcome obstacles that may arise in our daily lives. By developing strong problem solving skills, we can approach challenges with confidence and resilience.
Furthermore, problem solving skills are not limited to specific domains or professions. They are transferable skills that can be applied across various contexts. Whether you are a scientist, an artist, a teacher, or a parent, the ability to effectively solve problems is invaluable.
Overall, problem solving is a multifaceted skill that requires a combination of cognitive abilities and a mindset that embraces challenges. By honing our problem solving skills, we can become more adept at finding innovative solutions and navigating the complexities of life.
Problem solving typically involves several stages that help guide the process from identifying the problem to implementing and evaluating the solution. Let’s explore these stages in detail:
The first step in problem solving is identifying the issue at hand. This requires careful observation, gathering relevant information, and clarifying the problem’s scope and impact.
During the process of identifying the problem, it is crucial to engage in active listening and effective communication. This allows for a comprehensive understanding of the problem and ensures that all stakeholders are involved. Additionally, conducting thorough research and analysis aids in identifying the root cause of the problem, which is essential for developing effective solutions.
Once the problem is identified, the next step is brainstorming and generating potential solutions. This is where creativity and critical thinking come into play. It’s important to consider various perspectives and evaluate the pros and cons of each potential solution.
During the brainstorming phase, it is beneficial to encourage a diverse range of ideas and perspectives. This can be achieved through group discussions, individual reflection, or even seeking external input. By exploring multiple solutions, one can increase the chances of finding the most innovative and effective approach.
After choosing the most promising solution, it’s time to put it into action. This involves developing an implementation plan, allocating necessary resources, and monitoring progress. Once implemented, it’s important to evaluate the solution’s effectiveness and make adjustments if needed.
During the implementation phase, effective project management skills are crucial. This includes setting clear goals, establishing timelines, and assigning responsibilities. Regular monitoring and evaluation of the solution’s progress help identify any potential challenges or areas for improvement. By continuously assessing the solution’s effectiveness, one can ensure that it aligns with the desired outcomes and makes a positive impact.
Problem solving is not a linear process, but rather an iterative one. It often requires revisiting previous stages and making adjustments based on new information or unexpected obstacles. By embracing flexibility and adaptability, problem solvers can navigate through the complexities of finding and implementing effective solutions.
When faced with a problem, it’s essential to have a set of techniques and tools to aid in the problem-solving process. These techniques not only help in finding solutions but also encourage creativity and critical thinking. Let’s explore a few commonly used problem-solving techniques:
Brainstorming is a technique that encourages free thinking and idea generation. It involves gathering a group of individuals with diverse backgrounds and perspectives to generate a wide range of ideas without criticism or judgment. The goal is to create an environment where creativity can flourish, leading to unique and innovative solutions. During a brainstorming session, participants can build upon each other’s ideas, sparking new thoughts and possibilities.
For example, imagine a team working on a project to improve customer satisfaction for a company. During a brainstorming session, team members may suggest ideas such as implementing a loyalty program, enhancing customer service training, or developing a user-friendly mobile app. By allowing all ideas to be expressed without evaluation, the team can explore various possibilities and consider unconventional approaches.
Root cause analysis is a systematic approach to problem solving that focuses on identifying the underlying causes of an issue. It aims to dig deep and understand the core problem rather than merely addressing its symptoms. By uncovering the root cause, it becomes possible to develop targeted solutions that address the fundamental issue.
For instance, let’s say a manufacturing company is experiencing a high rate of product defects. Instead of simply fixing the defects as they occur, a root cause analysis would involve investigating the factors contributing to the defects. This analysis may reveal issues such as faulty machinery, inadequate training, or ineffective quality control processes. By addressing these underlying causes, the company can implement long-term solutions that prevent future defects and improve overall product quality.
A decision matrix is a tool used to evaluate multiple options based on predefined criteria. It provides a structured approach to decision-making by visually comparing various solutions and considering their respective advantages and disadvantages. This technique helps in making informed decisions and selecting the most suitable solution.
For example, imagine a project manager tasked with selecting a software vendor for a company’s new customer relationship management (CRM) system. The decision matrix would include criteria such as cost, functionality, user-friendliness, and customer support. Each potential vendor would be evaluated and scored based on these criteria, and the decision matrix would provide a clear visual representation of the strengths and weaknesses of each option. This analysis enables the project manager to make an objective and well-informed decision that aligns with the company’s needs and goals.
By utilizing problem-solving techniques like brainstorming, root cause analysis, and decision matrix analysis, individuals and teams can approach problems in a structured and effective manner. These techniques not only help in finding solutions but also foster collaboration, critical thinking, and innovation.
Despite the benefits of problem solving, there can be barriers that hinder the process. Let’s explore a few common barriers:
Cognitive biases are inherent mental shortcuts that can affect judgment and decision-making. These biases may lead to faulty reasoning, overlooking crucial information, or favoring familiar solutions over more effective ones.
One example of a cognitive bias is confirmation bias, where individuals tend to seek out information that confirms their existing beliefs or hypotheses while ignoring contradictory evidence. This can limit their ability to consider alternative perspectives and hinder problem-solving efforts.
Another cognitive bias is the availability heuristic, which is the tendency to rely on immediate examples or information that comes to mind easily. This can lead to overlooking less accessible but potentially relevant information, limiting the effectiveness of problem-solving approaches.
Overcoming cognitive biases requires self-awareness and a willingness to challenge one’s own assumptions. By actively seeking out diverse perspectives and considering a wide range of information, individuals can mitigate the impact of cognitive biases on problem-solving processes.
Insufficient or inaccurate information can impede problem-solving efforts. Without a comprehensive understanding of the problem and relevant data, it becomes challenging to develop effective solutions.
One way to address this barrier is through thorough research and data collection. By gathering relevant information from reliable sources, individuals can gain a deeper understanding of the problem at hand. This may involve conducting surveys, interviews, or analyzing existing data sets to gather insights.
Additionally, collaboration and seeking input from others can help fill in knowledge gaps. By engaging with individuals who have different perspectives or expertise, new information and insights can be gained, leading to more effective problem-solving approaches.
It’s also important to critically evaluate the information gathered, ensuring its accuracy and relevance. By verifying the credibility of sources and cross-referencing data, individuals can make more informed decisions and overcome the barrier of a lack of information.
Emotions such as fear, stress, or frustration can cloud judgment and hinder problem-solving abilities. It’s important to cultivate emotional intelligence and manage emotions effectively to maintain a clear and objective mindset.
One way to address emotional barriers is through mindfulness and self-reflection. By developing awareness of one’s emotions and their impact on decision-making, individuals can better regulate their emotional responses and prevent them from interfering with problem-solving processes.
Practicing stress management techniques, such as deep breathing exercises or engaging in physical activity, can also help reduce the impact of negative emotions on problem-solving abilities. Taking breaks and allowing time for relaxation and self-care can contribute to a clearer and more focused mindset.
Furthermore, fostering a supportive and collaborative environment can help individuals feel more comfortable expressing their emotions and seeking assistance when needed. By creating a safe space for open communication, emotional barriers can be minimized, allowing for more effective problem-solving.
By understanding and addressing these barriers, individuals can enhance their problem-solving skills and overcome challenges more effectively. Problem solving is a valuable skill that can be developed and improved with practice, and by recognizing and addressing these barriers, individuals can become more adept at finding innovative and effective solutions.
While some individuals may possess natural problem-solving abilities, it is a skill that can be developed and honed over time. Here are a few ways to enhance your problem-solving skills:
Critical thinking involves analyzing information objectively, questioning assumptions, and considering alternative perspectives. Practicing critical thinking can help improve problem-solving abilities by fostering a logical and rational approach.
One way to develop critical thinking skills is through engaging in thought-provoking discussions and debates. By actively participating in conversations that challenge your beliefs and encourage you to consider different viewpoints, you can expand your thinking and develop a more comprehensive understanding of complex problems.
Additionally, reading books and articles that present diverse perspectives on various subjects can also contribute to the development of critical thinking skills. By exposing yourself to different ideas and arguments, you can learn to evaluate information critically and make informed decisions.
Embracing creativity and innovation can encourage thinking outside the box and finding unique solutions. Engaging in activities such as brainstorming or exploring new ideas and perspectives can stimulate creativity and foster innovative problem-solving approaches.
One effective way to foster creativity is through the practice of divergent thinking. This involves generating multiple ideas and possibilities without judgment or evaluation. By allowing yourself to think freely and without constraints, you can uncover new and unconventional solutions to problems.
Furthermore, seeking inspiration from different sources can also enhance your creativity. Exploring different art forms, such as painting, music, or literature, can expose you to different ways of thinking and spark new ideas. Additionally, immersing yourself in nature or taking part in outdoor activities can provide a fresh perspective and stimulate creative thinking.
Problem-solving can be challenging and may require multiple attempts to find the most effective solution. It’s important to remain persistent and patient, understanding that setbacks and failures are part of the learning process.
Developing a growth mindset can greatly contribute to persistence and patience. Embracing the belief that abilities and intelligence can be developed through dedication and hard work can help you stay motivated and resilient in the face of obstacles. Instead of viewing failures as permanent setbacks, see them as opportunities for growth and learning.
Moreover, seeking support from others can also help you maintain persistence and patience. Surrounding yourself with individuals who share your goals and values can provide encouragement and motivation during challenging times. Collaborating with others can also bring fresh perspectives and ideas to the problem-solving process.
Remember, enhancing problem-solving skills is an ongoing journey. By continuously practicing critical thinking, embracing creativity, and cultivating persistence and patience, you can become a more effective problem solver in various aspects of your life.
Problem-solving skills play a vital role in our everyday lives, both personally and professionally. Let’s explore how problem solving impacts different areas:
In our personal lives, problem solving helps us navigate challenges, make decisions, and overcome obstacles. Whether it’s managing personal relationships, resolving conflicts, or finding creative solutions to household problems, effective problem solving enhances our daily lives.
For example, imagine you are planning a surprise birthday party for a loved one. You encounter various challenges along the way, such as finding the perfect venue, coordinating with guests, and organizing the event. By employing problem-solving skills, you can brainstorm ideas, create a timeline, and address any unexpected issues that may arise. This not only ensures a successful surprise party but also showcases your ability to think critically and find solutions.
In the professional realm, problem-solving skills are highly valued by employers. Being able to identify and resolve work-related issues can lead to increased productivity, improved teamwork, and career advancement. Effective problem solving is a key competency for success in various professions.
Consider a scenario where you work in a customer service role. You encounter a dissatisfied customer who has a complex issue that needs to be resolved promptly. By utilizing problem-solving skills, you can actively listen to the customer’s concerns, analyze the situation, and propose appropriate solutions. This not only resolves the issue but also showcases your ability to handle challenging situations professionally, leaving a positive impression on both the customer and your employer.
At a broader level, problem solving contributes to societal progress. Many global challenges require collective problem-solving efforts, such as finding sustainable solutions to environmental issues, addressing social inequalities, or improving public services. Effective problem solving can lead to positive societal change.
For instance, let’s consider the issue of climate change. Solving this complex problem requires the collaboration of scientists, policymakers, and individuals from various fields. By employing problem-solving skills, experts can analyze data, propose innovative solutions, and implement strategies to mitigate the effects of climate change. This collective problem-solving effort can lead to a more sustainable future for generations to come.
In conclusion, problem solving is a fundamental skill that plays a significant role in our lives. By understanding the concept, mastering problem-solving stages, and employing various techniques, we can enhance our ability to overcome challenges and achieve desired outcomes. Developing strong problem-solving skills not only benefits us personally and professionally but also contributes to broader societal progress. So, let’s embrace problem solving and harness its power to shape a better future.
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As business leaders we are consequently required to solve problems. But what are the very fundamentals of problem solving?
Read on to find out.
1. Define the Real Problem
This is the biggie. Ensure that you are solving the right problem. Toyota is justifiably famous for its problem-solving savvy in perfecting its production methods. According to Toyota, the key to their method is to spend relatively more time defining the problem and relatively less time on figuring out the solution.
2. Solve the Root Cause of the Problem
Don’t treat the symptoms; solve the root cause of the problem. There are numerous methods to determine root causes—cause mapping, fishbone diagrams, etc. For me, the easiest and most effective is to use the “Five Whys.” Ask a question and to each answer ask. “Why?” again. Doing this for five times should get you to the root cause of the problem.
3. Use a Hypothesis
As happens on the “CSI” television shows, you should make a best guess as to the solution to the problem at the very beginning of your process—define the initial hypothesis. Then test this initial hypothesis by digging deep to determine whether the hypothesis is right or wrong and adjusting the hypothesis as the facts dictate.
4. Get the Facts
Dig deep and get the facts to truly understand the nature of the problem and the possible solutions. Do the analysis to let the facts do the talking instead of gut instinct. As Wharton’s own Peter Cappelli says: “I tell my MBA students that whenever you are going with your gut, you are doing something wrong. In most cases, you can actually figure it out. So you should sit down and figure it out.”
5. Keep the solution simple
Any solution to a problem has to be implemented by your team. So keep it simple. Be able to explain the solution clearly and precisely in 30 seconds. Limit the action items to solve the problem to three. Go for the solution that solves 80 percent of the problem but that is 100 percent implementable by the team—rather than a 100 percent solution that is unlikely to ever be properly implemented.
6. Do not re-invent the wheel
Plagiarism can be good. If someone has a clever idea or way to solve your problem, by all means legally use it. The “not invented here” syndrome is just sheer arrogance.
7. Gain momentum in problem solving
In situations where you have multiple problems to solve (e.g., business turnarounds) pluck the low-hanging but important fruit first. Solve the easy problems. This gives you momentum, shows progress and gives your team confidence.
8. Consider time
With any solution, ensure that you do first what needs to be done first. Also, ensure that the solution can be implemented in a reasonable period of time. Solutions that take longer than a few months will likely fail. The momentum will die out or top management will move on to another “critical issue.”
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Problem solving, learning objectives.
By the end of this section, you will be able to:
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.
When you 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.
A problem-solving strategy is a plan of action used to find a solution. Different strategies have different action plans associated with them ( [link] ). 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.
Method | Description | Example |
---|---|---|
Trial and error | Continue trying different solutions until problem is solved | Restarting phone, turning off WiFi, turning off bluetooth in order to determine why your phone is malfunctioning |
Algorithm | Step-by-step problem-solving formula | Instruction manual for installing new software on your computer |
Heuristic | General problem-solving framework | Working backwards; breaking a task into steps |
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):
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.
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 ( [link] ) 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 ( [link] ) 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 ( [link] ). Sam Loyd, a well-known puzzle master, created and refined countless puzzles throughout his lifetime (Cyclopedia of Puzzles, n.d.).
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.
Check out this Apollo 13 scene where the group of NASA engineers are given the task of overcoming functional fixedness.
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 [link] .
Bias | Description |
---|---|
Anchoring | Tendency to focus on one particular piece of information when making decisions or problem-solving |
Confirmation | Focuses on information that confirms existing beliefs |
Hindsight | Belief that the event just experienced was predictable |
Representative | Unintentional stereotyping of someone or something |
Availability | Decision is based upon either an available precedent or an example that may be faulty |
Please visit this site to see a clever music video that a high school teacher made to explain these and other cognitive biases to his AP psychology students.
Were you able to determine how many marbles are needed to balance the scales in [link] ? You need nine. Were you able to solve the problems in [link] and [link] ? Here are the answers ( [link] ).
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.
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?
3. 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?
1. Functional fixedness occurs when you cannot see a use for an object other than the use for which it was intended. For example, if you need something to hold up a tarp in the rain, but only have a pitchfork, you must overcome your expectation that a pitchfork can only be used for garden chores before you realize that you could stick it in the ground and drape the tarp on top of it to hold it up.
2. An algorithm is a proven formula for achieving a desired outcome. It saves time because if you follow it exactly, you will solve the problem without having to figure out how to solve the problem. It is a bit like not reinventing the wheel.
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Why do employers hire employees? To help them solve problems. Whether you’re a financial analyst deciding where to invest your firm’s money, or a marketer trying to figure out which channel to direct your efforts, companies hire people to help them find solutions. Problem-solving is an essential and marketable soft skill in the workplace.
So, how can you improve your problem-solving and show employers you have this valuable skill? In this guide, we’ll cover:
Why are problem-solving skills important, problem-solving skills examples, how to include problem-solving skills in a job application, how to improve problem-solving skills, problem-solving: the bottom line.
Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to consider a wide range of solutions before deciding how to move forward.
Examples of using problem-solving skills in the workplace include:
Problem-solving skills are the most sought-after soft skill of 2022. In fact, 86% of employers look for problem-solving skills on student resumes, according to the National Association of Colleges and Employers Job Outlook 2022 survey .
It’s unsurprising why employers are looking for this skill: companies will always need people to help them find solutions to their problems. Someone proactive and successful at problem-solving is valuable to any team.
“Employers are looking for employees who can make decisions independently, especially with the prevalence of remote/hybrid work and the need to communicate asynchronously,” Eric Mochnacz, senior HR consultant at Red Clover, says. “Employers want to see individuals who can make well-informed decisions that mitigate risk, and they can do so without suffering from analysis paralysis.”
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Problem-solving includes three main parts: identifying the problem, analyzing possible solutions, and deciding on the best course of action.
>>MORE: Discover the right career for you based on your skills with a career aptitude test .
Research is the first step of problem-solving because it helps you understand the context of a problem. Researching a problem enables you to learn why the problem is happening. For example, is revenue down because of a new sales tactic? Or because of seasonality? Is there a problem with who the sales team is reaching out to?
Research broadens your scope to all possible reasons why the problem could be happening. Then once you figure it out, it helps you narrow your scope to start solving it.
Analysis is the next step of problem-solving. Now that you’ve identified the problem, analytical skills help you look at what potential solutions there might be.
“The goal of analysis isn’t to solve a problem, actually — it’s to better understand it because that’s where the real solution will be found,” Gretchen Skalka, owner of Career Insights Consulting, says. “Looking at a problem through the lens of impartiality is the only way to get a true understanding of it from all angles.”
Once you’ve figured out where the problem is coming from and what solutions are, it’s time to decide on the best way to go forth. Decision-making skills help you determine what resources are available, what a feasible action plan entails, and what solution is likely to lead to success.
Employers looking for problem-solving skills might include the word “problem-solving” or other synonyms like “ critical thinking ” or “analytical skills” in the job description.
“I would add ‘buzzwords’ you can find from the job descriptions or LinkedIn endorsements section to filter into your resume to comply with the ATS,” Matthew Warzel, CPRW resume writer, advises. Warzel recommends including these skills on your resume but warns to “leave the soft skills as adjectives in the summary section. That is the only place soft skills should be mentioned.”
On the other hand, you can list hard skills separately in a skills section on your resume .
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Explaining your problem-solving skills in an interview can seem daunting. You’re required to expand on your process — how you identified a problem, analyzed potential solutions, and made a choice. As long as you can explain your approach, it’s okay if that solution didn’t come from a professional work experience.
“Young professionals shortchange themselves by thinking only paid-for solutions matter to employers,” Skalka says. “People at the genesis of their careers don’t have a wealth of professional experience to pull from, but they do have relevant experience to share.”
Aaron Case, career counselor and CPRW at Resume Genius, agrees and encourages early professionals to share this skill. “If you don’t have any relevant work experience yet, you can still highlight your problem-solving skills in your cover letter,” he says. “Just showcase examples of problems you solved while completing your degree, working at internships, or volunteering. You can even pull examples from completely unrelated part-time jobs, as long as you make it clear how your problem-solving ability transfers to your new line of work.”
Problem-solving doesn’t just require finding solutions to problems that are already there. It’s also about being proactive when something isn’t working as you hoped it would. Practice questioning and getting curious about processes and activities in your everyday life. What could you improve? What would you do if you had more resources for this process? If you had fewer? Challenge yourself to challenge the world around you.
“Employers in the modern workplace value digital problem-solving skills, like being able to find a technology solution to a traditional issue,” Case says. “For example, when I first started working as a marketing writer, my department didn’t have the budget to hire a professional voice actor for marketing video voiceovers. But I found a perfect solution to the problem with an AI voiceover service that cost a fraction of the price of an actor.”
Being comfortable with new technology — even ones you haven’t used before — is a valuable skill in an increasingly hybrid and remote world. Don’t be afraid to research new and innovative technologies to help automate processes or find a more efficient technological solution.
Problem-solving isn’t done in a silo, and it shouldn’t be. Use your collaboration skills to gather multiple perspectives, help eliminate bias, and listen to alternative solutions. Ask others where they think the problem is coming from and what solutions would help them with your workflow. From there, try to compromise on a solution that can benefit everyone.
If we’ve learned anything from the past few years, it’s that the world of work is constantly changing — which means it’s crucial to know how to adapt . Be comfortable narrowing down a solution, then changing your direction when a colleague provides a new piece of information. Challenge yourself to get out of your comfort zone, whether with your personal routine or trying a new system at work.
Just like adapting requires you to challenge your routine and tradition, good problem-solving requires you to put yourself in challenging situations — especially ones where you don’t have relevant experience or expertise to find a solution. Because you won’t know how to tackle the problem, you’ll learn new problem-solving skills and how to navigate new challenges. Ask your manager or a peer if you can help them work on a complicated problem, and be proactive about asking them questions along the way.
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Companies always need people to help them find solutions — especially proactive employees who have practical analytical skills and can collaborate to decide the best way to move forward. Whether or not you have experience solving problems in a professional workplace, illustrate your problem-solving skills by describing your research, analysis, and decision-making process — and make it clear that you’re the solution to the employer’s current problems.
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Problem solving process.
The process of problem-solving is an activity which has its ingredients as the specification of the program and the served dish is a correct program. This activity comprises of four steps : 1. Understanding the problem: To solve any problem it is very crucial to understand the problem first. What is the desired output of the code and how that output can be generated? The obvious and essential need to generate the output is an input. The input may be singular or it may be a set of inputs. A proper relationship between the input and output must be drawn in order to solve the problem efficiently. The input set should be complete and sufficient enough to draw the output. It means all the necessary inputs required to compute the output should be present at the time of computation. However, it should be kept in mind that the programmer should ensure that the minimum number of inputs should be there. Any irrelevant input only increases the size of and memory overhead of the program. Thus Identifying the minimum number of inputs required for output is a crucial element for understanding the problem.
2. Devising the plan: Once a problem has been understood, a proper action plan has to be devised to solve it. This is called devising the plan. This step usually involves computing the result from the given set of inputs. It uses the relationship drawn between inputs and outputs in the previous step. The complexity of this step depends upon the complexity of the problem at hand.
3. Executing the plan: Once the plan has been defined, it should follow the trajectory of action while ensuring the plan’s integrity at various checkpoints. If any inconsistency is found in between, the plan needs to be revised.
4. Evaluation: The final result so obtained must be evaluated and verified to see if the problem has been solved satisfactorily.
The methodology to solve a problem is defined as the most efficient solution to the problem. Although, there can be multiple ways to crack a nut, but a methodology is one where the nut is cracked in the shortest time and with minimum effort. Clearly, a sledgehammer can never be used to crack a nut. Under problem-solving methodology, we will see a step by step solution for a problem. These steps closely resemble the software life cycle . A software life cycle involves several stages in a program’s life cycle. These steps can be used by any tyro programmer to solve a problem in the most efficient way ever. The several steps of this cycle are as follows :
Step by step solution for a problem (Software Life Cycle) 1. Problem Definition/Specification: A computer program is basically a machine language solution to a real-life problem. Because programs are generally made to solve the pragmatic problems of the outside world. In order to solve the problem, it is very necessary to define the problem to get its proper understanding. For example, suppose we are asked to write a code for “ Compute the average of three numbers”. In this case, a proper definition of the problem will include questions like : “What exactly does average mean?” “How to calculate the average?”
Once, questions like these are raised, it helps to formulate the solution of the problem in a better way. Once a problem has been defined, the program’s specifications are then listed. Problem specifications describe what the program for the problem must do. It should definitely include :
what is the input set of the program
What is the desired output of the program and in what form the output is desired?
2. Problem Analysis (Breaking down the solution into simple steps): This step of solving the problem follows a modular approach to crack the nut. The problem is divided into subproblems so that designing a solution to these subproblems gets easier. The solutions to all these individual parts are then merged to get the final solution of the original problem. It is like divide and merge approach.
Modular Approach for Programming :
The process of breaking a large problem into subproblems and then treating these individual parts as different functions is called modular programming. Each function behaves independent of another and there is minimal inter-functional communication. There are two methods to implement modular programming :
3. Problem Designing: The design of a problem can be represented in either of the two forms :
The ways to execute any program are of three categories:
Identification of arithmetic and logical operations required for the solution : While writing the algorithm for a problem, the arithmetic and logical operations required for the solution are also usually identified. They help to write the code in an easier manner because the proper ordering of the arithmetic and logical symbols is necessary to determine the correct output. And when all this has been done in the algorithm writing step, it just makes the coding task a smoother one.
4. Coding: Once an algorithm is formed, it can’t be executed on the computer. Thus in this step, this algorithm has to be translated into the syntax of a particular programming language. This process is often termed as ‘coding’. Coding is one of the most important steps of the software life cycle. It is not only challenging to find a solution to a problem but to write optimized code for a solution is far more challenging.
Writing code for optimizing execution time and memory storage : A programmer writes code on his local computer. Now, suppose he writes a code which takes 5 hours to get executed. Now, this 5 hours of time is actually the idle time for the programmer. Not only it takes longer time, but it also uses the resources during that time. One of the most precious computing resources is memory. A large program is expected to utilize more memory. However, memory utilization is not a fault, but if a program is utilizing unnecessary time or memory, then it is a fault of coding. The optimized code can save both time and memory. For example, as has been discussed earlier, by using the minimum number of inputs to compute the output , one can save unnecessary memory utilization. All such techniques are very necessary to be deployed to write optimized code. The pragmatic world gives reverence not only to the solution of the problem but to the optimized solution. This art of writing the optimized code also called ‘competitive programming’.
5. Program Testing and Debugging: Program testing involves running each and every instruction of the code and check the validity of the output by a sample input. By testing a program one can also check if there’s an error in the program. If an error is detected, then program debugging is done. It is a process to locate the instruction which is causing an error in the program and then rectifying it. There are different types of error in a program : (i) Syntax Error Every programming language has its own set of rules and constructs which need to be followed to form a valid program in that particular language. If at any place in the entire code, this set of rule is violated, it results in a syntax error. Take an example in C Language
In the above program, the syntax error is in the first printf statement since the printf statement doesn’t end with a ‘;’. Now, until and unless this error is not rectified, the program will not get executed.
Once the error is rectified, one gets the desired output. Suppose the input is ‘good’ then the output is : Output:
(ii) Logical Error An error caused due to the implementation of a wrong logic in the program is called logical error. They are usually detected during the runtime. Take an example in C Language:
In the above code, the ‘for’ loop won’t get executed since n has been initialized with the value of 11 while ‘for’ loop can only print values smaller than or equal to 10. Such a code will result in incorrect output and thus errors like these are called logical errors. Once the error is rectified, one gets the desired output. Suppose n is initialised with the value ‘5’ then the output is : Output:
(iii) Runtime Error Any error which causes the unusual termination of the program is called runtime error. They are detected at the run time. Some common examples of runtime errors are : Example 1 :
If during the runtime, the user gives the input value for B as 0 then the program terminates abruptly resulting in a runtime error. The output thus appears is : Output:
Example 2 : If while executing a program, one attempts for opening an unexisting file, that is, a file which is not present in the hard disk, it also results in a runtime error.
6. Documentation : The program documentation involves :
7. Program Maintenance: Once a program has been formed, to ensure its longevity, maintenance is a must. The maintenance of a program has its own costs associated with it, which may also exceed the development cost of the program in some cases. The maintenance of a program involves the following :
There are codes which usually involve looping statements. Looping statements are statements in which instruction or a set of instructions is executed multiple times until a particular condition is satisfied. The while loop, for loop, do while loop, etc. form the basis of such looping structure. These statements are also called control structure because they determine or control the flow of instructions in a program. These looping structures are of two kinds :
In the above program, the ‘for’ loop gets executed only until the value of i is less than or equal to 10. As soon as the value of i becomes greater than 10, the while loop is terminated. Output:
In the above code, one can easily see that the value of n is not getting incremented. In such a case, the value of n will always remain 1 and hence the while loop will never get executed. Such loop is called an infinite loop. Output:
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Chapter 1:- Problem Solving Aspects. Introduction:- Problem is a situation regarded as unwelcome and which needs to be dealt with and overcome. Problem solving is the process of transforming the description of a problem into solution of that problem by using our knowledge of the problem domain.
Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue. The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything ...
Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below. Step. Characteristics. 1. Define the problem. Differentiate fact from opinion. Specify underlying causes. Consult each faction involved for information. State the problem specifically.
7. Solution evaluation. 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.
to apply problem solving techniques. Problem solving begins with the precise identification of the problem and ends with a complete working solution in terms of a program or software. Key steps required for solving a problem using a computer are shown in Figure 4.1 and are discussed in following subsections. 4.2.1 Analysing the problem
Module 7: Thinking, Reasoning, and Problem-Solving. This module is about how a solid working knowledge of psychological principles can help you to think more effectively, so you can succeed in school and life. You might be inclined to believe that—because you have been thinking for as long as you can remember, because you are able to figure ...
a history of success with problem solving. Dismissers have a history of failure. Of course, you might be an engager for one type of problem, and a dismisser for another. Many students do significant problem solving for recreation - Sodoku puzzles, computer games with meaningful problem solving tasks, and all sorts of "puzzles."
Step 1: Find the numbers (divisors) which can divide the given numbers. Step 2: Then find the largest common number from these two lists. A finite sequence of steps required to get the desired output is called an algorithm. Algorithm has a definite beginning and a definite end, and consists of a finite number of steps.
Good problem solving skills empower you not only in your personal life but are critical in your professional life. In the current fast-changing global economy, employers often identify everyday problem solving as crucial to the success of their organizations. For employees, problem solving can be used to develop practical and creative solutions ...
This page continues from Problem Solving an Introduction that introduces problem solving as a concept and outlines the stages used to successfully solve problems.. This page covers the first two stages in the problem solving process: Identifying the Problem and Structuring the Problem. Stage One: Identifying the Problem. Before being able to confront a problem its existence needs to be identified.
as a basis for the manner in which they solve the problem at hand. In mathematics, a solution is often expressed in terms of formulas and equations. In computer science, the solution is expressed in terms of a program: A program is a sequence of instructions that can be executed by a computer to solve some problem or perform a specified task.
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 ...
The first step in problem solving is identifying the issue at hand. This requires careful observation, gathering relevant information, and clarifying the problem's scope and impact. During the process of identifying the problem, it is crucial to engage in active listening and effective communication.
Problem Solving Strategy 3 (Using a variable to find the sum of a sequence.) Gauss's strategy for sequences. last term = fixed number (n-1) + first term. The fix number is the the amount each term is increasing or decreasing by. "n" is the number of terms you have. You can use this formula to find the last term in the sequence or the number of ...
1. Define the Real Problem. This is the biggie. Ensure that you are solving the right problem. Toyota is justifiably famous for its problem-solving savvy in perfecting its production methods. According to Toyota, the key to their method is to spend relatively more time defining the problem and relatively less time on figuring out the solution. 2.
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 is a 4×4 grid. To solve the puzzle, fill in the empty ...
Documentation - Techniques of Problem Solving - Problem solving aspects - Top- Down aspects - Implementation of algorithms - Program verification - Flowcharting, decision table, algorithms, Structured programming concepts, Programming methodologies viz. top-down and bottom-up programming. Basic Concepts of Computer
1.4.1 The Stages of Problem Solving. The situation that prevails at the beginning of the problem solving task is the initial state. The system then moves through a series of different, intermediate states, designed to lead to the goal. When the goal is achieved, the system is said to have attained the goal state.
Introduction to Problem Solving: Problem-solving strategies, Problem identification, Problem understanding, Algorithm development, Solution planning (flowcharts. ... Data Mining(1-5) - Unit 1 to 5 lectures Notes For Data Mining; Related documents. Hemiplegia case; English SEM-3 Notes - Literary musings; Convocation Application Form13012023-1 ...
Problem-Solving Skills Definition. Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to ...
The several steps of this cycle are as follows : Step by step solution for a problem (Software Life Cycle) 1. Problem Definition/Specification: A computer program is basically a machine language solution to a real-life problem. Because programs are generally made to solve the pragmatic problems of the outside world.
Computer-science document from McGill University, 2 pages, Problem Solving Study Guide 2024 Key Concepts and Questions Three aspects to problem solving. These are representing a problem with relevant information (know what the problem is); analyzing it and then effectively storing a solution (note the importance
Abstract. This chapter follows the historical development of research on problem solving. It begins with a description of two research traditions that addressed different aspects of the problem-solving process: (1) research on problem representation (the Gestalt legacy) that examined how people understand the problem at hand, and (2) research on search in a problem space (the legacy of Newell ...