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Overview of the Problem-Solving Mental Process

• Identify the Problem
• Define the Problem
• Form a Strategy
• Organize Information
• Allocate Resources
• Monitor Progress
• Evaluate the Results

Frequently Asked Questions

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 they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.

It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.

In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.

The following steps include developing strategies and organizing knowledge.

1. Identifying the Problem

While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.

Some strategies that you might use to figure out the source of a problem include :

• Asking questions about the problem
• Breaking the problem down into smaller pieces
• Looking at the problem from different perspectives
• Conducting research to figure out what relationships exist between different variables

2. Defining the Problem

After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address

At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.

3. Forming a Strategy

After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.

The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.

• Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
• Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.

Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.

4. Organizing Information

Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.

When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.

5. Allocating Resources

Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.

If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.

At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.

6. Monitoring Progress

After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.

It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.

Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .

7. Evaluating the Results

After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.

Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.

A Word From Verywell​

It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.

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You can become a better problem solving by:

• Practicing brainstorming and coming up with multiple potential solutions to problems
• Being open-minded and considering all possible options before making a decision
• Breaking down problems into smaller, more manageable pieces
• Asking for help when needed
• Researching different problem-solving techniques and trying out new ones
• Learning from mistakes and using them as opportunities to grow

It's important to communicate openly and honestly with your partner about what's going on. Try to see things from their perspective as well as your own. Work together to find a resolution that works for both of you. Be willing to compromise and accept that there may not be a perfect solution.

Take breaks if things are getting too heated, and come back to the problem when you feel calm and collected. Don't try to fix every problem on your own—consider asking a therapist or counselor for help and insight.

If you've tried everything and there doesn't seem to be a way to fix the problem, you may have to learn to accept it. This can be difficult, but try to focus on the positive aspects of your life and remember that every situation is temporary. Don't dwell on what's going wrong—instead, think about what's going right. Find support by talking to friends or family. Seek professional help if you're having trouble coping.

Davidson JE, Sternberg RJ, editors.  The Psychology of Problem Solving .  Cambridge University Press; 2003. doi:10.1017/CBO9780511615771

Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. Published 2018 Jun 26. doi:10.3389/fnhum.2018.00261

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

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

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.
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Identifying and Structuring Problems

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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. This might seem an obvious statement but, quite often, problems will have an impact for some time before they are recognised or brought to the attention of someone who can do anything about them.

In many organisations it is possible to set up formal systems of communication so that problems are reported early on, but inevitably these systems do not always work. Once a problem has been identified, its exact nature needs to be determined: what are the goal and barrier components of the problem?  Some of the main elements of the problem can be outlined, and a first attempt at defining the problem should be made.  This definition should be clear enough for you to be able to easily explain the nature of the problem to others.

Looking at the problem in terms of goals and barriers can offer an effective way of defining many problems and splitting bigger problems into more manageable sub-problems.

Sometimes it will become apparent that what seems to be a single problem, is more accurately a series of sub-problems.  For example, in the problem:

“I have been offered a job that I want, but I don't have the transport to get there and I don't have enough money to buy a car.”

“ I want to take a job ” (main problem)

“ But I don't have transport to get there ” (sub-problem 1)

“ And I don't have enough money to buy a car ” (sub-problem 2)

Useful ways of describing more complex problems are shown in the section, ' Structuring the Problem' , below.

During this first stage of problem solving, it is important to get an initial working definition of the problem.  Although it may need to be adapted at a later stage, a good working definition makes it possible to describe the problem to others who may become involved in the problem solving process.  For example:

Stage Two: Structuring the Problem

The second stage of the problem solving process involves gaining a deeper understanding of the problem. Firstly, facts need to be checked.

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:

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.

Problems can be represented in the following ways:

• Visually: using pictures, models or diagrams.
• Verbally: describing the problem in words.

Visual and verbal representations include:

• Chain diagrams
• Flow charts
• Tree diagrams

Chain Diagrams

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:

Flow Charts

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

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.

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

Composition Type: Problem-Solution Essays

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In composition , using a problem-solution format is a method for analyzing and writing about a topic by identifying a problem and proposing one or more solutions. A problem-solution essay is a type of argument. "This sort of essay involves argumentation in that the writer seeks to convince the reader to take a particular course of action. In explaining the problem, it may also need to persuade the reader concerning specific causes" (Dave Kemper et al., "Fusion: Integrated Reading and Writing," 2016).

The Thesis Statement

In many types of report writing, the thesis statement is posed front and center, in one sentence. Author Derek Soles writes about how the thesis statement in a problem-solution paper differs from a straight "report of findings" type of text:

"[One]  expository  mode is the problem-solution essay, topics for which are typically framed in the form of questions. Why did fourth-graders from poor families score low on a nationwide math test, and how can educators improve math education for this group? Why is Iran a threat to our national security, and how can we reduce this threat? Why did it take the Democratic Party so long to select a candidate for the 2008 presidential election, and what can the party do to make the process more efficient in the future? These essays have two parts: a full explanation of the nature of the problem, followed by an analysis of solutions and their likelihood of success."

("The Essentials of Academic Writing," 2nd ed. Wadsworth, Cengage, 2010)

Readers need additional context before you get to your thesis, but that is not to say that the thesis has to be posed as a question in the introduction:  

"In a problem-solution essay, the thesis statement usually proposes the solution. Because readers must first understand the problem, the thesis statement usually comes after a description of the problem. The thesis statement does not have to give details about the solution. Instead, it summarizes the solution. It should also lead naturally to the body of the essay, preparing your reader for a discussion of how your solution would work."

(Dorothy Zemach and Lynn Stafford-Yilmaz, "Writers at Work: The Essay." Cambridge University Press, 2008)

Sample Introductions

It can be helpful to see completed examples before writing in order to examine what makes for an effective piece. See how these introductions give some context before posing the topic and lead naturally into the body paragraphs, where the evidence will be listed. You can imagine how the author has organized the rest of the piece.

"We buried my cousin last summer. He was 32 when he hanged himself from a closet coat rack in the throes of alcoholism, the fourth of my blood relatives to die prematurely from this deadly disease. If America issued drinking licenses, those four men—including my father, who died at 54 of liver failure—might be alive today."

(Mike Brake, "Needed: A License to Drink."  Newsweek , March 13, 1994)

"America is suffering from overwork. Too many of us are too busy, trying to squeeze more into each day while having less to show for it. Although our growing time crunch is often portrayed as a personal dilemma, it is, in fact, a major social problem that has reached crisis proportions over the past twenty years."

(Barbara Brandt, "Whole Life Economics: Revaluing Daily Life." New Society, 1995)

"The modern-day apartment dweller is faced with a most annoying problem: paper-thin walls and sound-amplifying ceilings. To live with this problem is to live with the invasion of privacy. There is nothing more distracting than to hear your neighbors' every function. Although the source of the noise cannot be eliminated, the problem can be solved."

(Maria B. Dunn, "One Man's Ceiling Is Another Man's Floor: The Problem of Noise")

Organization

In "Passages: A Writer's Guide, " how to organize a problem-solution paper is explained:  

"Though to some extent [your organization of the paper] depends on your topic, do make sure that you include the following information:

Introduction: Identify the problem in a nutshell. Explain why this is a problem, and mention who should be concerned about it.

Problem Paragraph(s): Explain the problem clearly and specifically. Demonstrate that this is not just a personal complaint, but a genuine problem that affects many people.

"Solution Paragraph(s): Offer a concrete solution to the problem, and explain why this is the best one available. You may want to point out why other possible solutions are inferior to yours. If your solution calls for a series of steps or actions to be followed, present these steps in a logical order.

"Conclusion: Reemphasize the importance of the problem and the value of your solution. Choose a problem that you have experienced and thought about—one that you have solved or are in the process of solving. Then, in the essay itself, you may use your own experience to illustrate the problem. However, don't focus all the attention on yourself and on your troubles. Instead, direct the essay at others who are experiencing a similar problem. In other words, don't write an I essay ('How I Cure the Blues'); write a you essay ('How You Can Cure the Blues')."

(Richard Nordquist, Passages: A Writer's Guide , 3rd ed. St. Martin's Press, 1995)

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