define problem solving in a sentence

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Overview of the Problem-Solving Mental Process

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

Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.

• 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.

Get Advice From The Verywell Mind Podcast

Hosted by therapist Amy Morin, LCSW, this episode of The Verywell Mind Podcast shares how you can stop dwelling in a negative mindset.

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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."

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PROBLEM SOLVING in a Sentence Examples: 21 Ways to Use Problem Solving

Have you ever found yourself stuck in a situation, trying to figure out the best way to overcome a challenge or obstacle? That’s where the concept of problem solving comes into play. Problem solving refers to the process of identifying issues, brainstorming potential solutions, and selecting the most effective course of action to resolve a problem or achieve a desired outcome.

In various aspects of our lives, from school and work to personal relationships, the ability to problem solve is a valuable skill that can help us navigate through difficulties and make informed decisions. By honing our problem-solving skills, we can approach challenges with confidence and creativity, finding innovative solutions to complex problems.

Table of Contents

7 Examples Of Problem Solving Used In a Sentence For Kids

• Problem solving is when we figure out how to fix a tricky situation.
• We can use problem solving to help us complete puzzles and games.
• Friends can work together to do some problem solving .
• It’s fun to use problem solving to come up with new ideas.
• Sometimes we need to ask for help with problem solving .
• Practice makes us better at problem solving .
• We can feel proud when we use problem solving to overcome challenges.

14 Sentences with Problem Solving Examples

• Problem solving is essential when faced with complex math equations in engineering classes.
• College students often use problem solving skills to navigate group projects and assignments.
• Problem solving comes into play when trying to manage time effectively between studying, extracurricular activities, and social life.
• Problem solving skills are crucial when dealing with challenging professors or difficult course material.
• Balancing a tight budget and finding creative ways to save money requires strong problem solving abilities.
• Problem solving is key when troubleshooting technical issues with laptops, smartphones, or other devices.
• Effective problem solving can help find innovative solutions to overcome obstacles in research projects or experiments.
• Learning to manage stress and anxiety through problem solving techniques can greatly improve academic performance.
• Problem solving skills are tested when trying to find internship or job opportunities in a competitive market.
• College students may need to use problem solving strategies to resolve conflicts with roommates or classmates.
• Implementing problem solving strategies can help improve communication and relationships within student organizations or clubs.
• Navigating transportation challenges in crowded cities requires quick thinking and effective problem solving .
• Developing problem solving abilities can help students adapt to unexpected changes in their academic schedules or plans.
• Utilizing problem solving skills when dealing with cultural differences can enhance the college experience for international students.

How To Use Problem Solving in Sentences?

Problem Solving is the process of identifying problems , finding solutions , and implementing those solutions to resolve the problems . To use “Problem Solving” in a sentence, start by identifying a problem that needs to be addressed. For example, “I am having trouble staying organized with my work schedule.” Next, brainstorm possible solutions to the problem . In this case, one solution could be creating a daily to-do list. Then, choose the most viable solution and implement it. The sentence could be, “I used Problem Solving techniques to create a to-do list and now I am more organized with my work schedule.”

Remember that effective Problem Solving involves critical thinking, analytical skills, and creativity. It is important to break down the problem into smaller components, analyze each part, and come up with innovative solutions . Practice Problem Solving regularly to improve your skills and become more efficient at resolving problems . By mastering Problem Solving , you will be able to tackle challenges more effectively and achieve your goals. So, next time you encounter a problem , remember to apply Problem Solving techniques to find a solution.

In conclusion, problem-solving is a crucial skill that involves identifying, analyzing, and resolving issues or obstacles to achieve a desired outcome. The ability to generate creative solutions, think critically, and make informed decisions is key to effective problem-solving. Examples of problem-solving can be seen in various situations, such as when troubleshooting technical issues, resolving conflicts in the workplace, or finding solutions to complex mathematical problems.

By developing and honing your problem-solving skills, you can enhance your adaptability, resilience, and overall effectiveness in both personal and professional realms. Ultimately, being a proficient problem solver can lead to improved decision-making, increased productivity, and a greater sense of accomplishment in overcoming challenges.

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Problem solving in a sentence

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Meaning of problem-solving in English

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• problem-solver

Examples of problem-solving

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have your hands full

to be so busy that you do not have time to do anything else

Binding, nailing, and gluing: talking about fastening things together

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Definition of 'problem-solving'

Problem-solving in british english.

Examples of 'problem-solving' in a sentence problem-solving

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Definition of solve

transitive verb

intransitive verb

• puzzle (out)
• riddle (out)

Examples of solve in a Sentence

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'solve.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

Middle English, to loosen, from Latin solvere to loosen, solve, dissolve, from sed-, se- apart + luere to release — more at secede , lose

circa 1533, in the meaning defined at transitive sense 1

Dictionary Entries Near solve

Solvay process

Cite this Entry

“Solve.” Merriam-Webster.com Dictionary , Merriam-Webster, https://www.merriam-webster.com/dictionary/solve. Accessed 17 Apr. 2024.

Kids Definition

Kids definition of solve, more from merriam-webster on solve.

Nglish: Translation of solve for Spanish Speakers

Britannica English: Translation of solve for Arabic Speakers

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Word of the day, circumlocution.

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Definition of problem noun from the Oxford Advanced Learner's Dictionary

• big/serious/major problems
• She has a lot of health problems .
• financial/social/technical problems
• Let me know if you have any problems .
• The government must address the problem of child poverty.
• We cannot tackle this problem effectively on our own.
• We are dealing with a serious problem here.
• Money isn't going to solve the problem .
• (especially North American English) to fix a problem
• If he chooses Mary it's bound to cause problems .
• to pose/create a problem
• The problem first arose in 2018.
• problem with something There is a problem with this argument.
• problem of something the problem of drug abuse
• problem of doing something Most students face the problem of funding themselves while they are studying.
• problem for somebody Unemployment is a very real problem for graduates now.
• It’s a nice table! The only problem is (that) it’s too big for our room.
• Part of the problem is the shape of the room.
• Stop worrying about their marriage—it isn't your problem.
• There's no history of heart problems (= disease connected with the heart) in our family.
• the magazine’s problem page (= containing letters about readers’ problems and advice about how to solve them)
• All the anti-depressant does is mask the problem.
• Depression is a natural feeling if your problems seem intractable.
• For years I've tried to overlook this problem.
• Fortunately, it's easy to avoid any potential problems.
• Framing the problem is an important step.
• She believes she may have found a solution to the problem.
• He developed a drinking problem.
• She doesn't really see the problem.
• He doesn't seem to understand my problem.
• She had to undergo surgery to cure the problem with her knee.
• He has been faced with all manner of problems in his new job.
• Her new job had taken her mind off her family problems for a while.
• I didn't imagine there would be a problem about getting tickets.
• I don't anticipate any future problems in that regard.
• I forgot my problems for a moment.
• I'm glad you finally admitted your problem.
• If the problem persists you should see a doctor.
• Inadequate resources pose a problem for all members of staff.
• Most people can see the ethical problem with accepting such an offer.
• No one ever asked why or how the problem originated.
• Our greatest problem is the lack of funds.
• She had serious substance abuse problems with both cocaine and heroin.
• She raised the problem of falling sales at the last meeting.
• Success brings its own problems.
• Systemic security problems have been identified.
• The accident poses a terrible problem for the family.
• The basic problem remains the lack of available housing.
• The plan has been fraught with problems from the start.
• The problem lies in the lack of communication between managers and staff.
• Therein lies the problem.
• The rail strike is a problem for all commuters.
• The role of the sun in climate change is still a big unsolved problem.
• The traffic in illegal drugs is a global problem.
• These symptoms may indicate a serious problem.
• They created a task force to study this problem.
• They sold their car to ease their financial problems.
• This illustrates another potential problem.
• This underscores the biggest problem with electronic voting.
• We need to get to the root of the problem before we can solve it.
• We're faced with a whole host of new problems.
• This is one of the great problems of cosmology: where did the overall structure of the universe come from?
• present (somebody with)
• behaviour/​behavior
• problem about
• problem for
• an approach to a problem
• the crux of the problem
• the heart of the problem

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The power of algebra is how it can help you model real situations in order to answer questions about them.

Here are some steps to translate problem situations into algebraic equations you can solve. Not every word problem fits perfectly into these steps, but they will help you get started.

• Read and understand the problem.
• Determine the constants and variables in the problem.
• Translate words into algebraic expressions and equations.
• Write an equation to represent the problem.
• Solve the equation.
• Check and interpret your answer. Sometimes writing a sentence helps.

Twenty-eight less than five times a certain number is 232. What is the number?

Following the steps provided:

• Read and understand: we are looking for a number.
• Constants and variables: 28 and 232 are constants, “a certain number” is our variable because we don’t know its value, and we are asked to find it. We will call it x.
• Translate:  five times a certain number translates to [latex]5x[/latex] Twenty-eight less than five times a certain number translates to [latex]5x-28[/latex] because subtraction is built backward. is 232 translates to [latex]=232[/latex] because “is” is associated with equals.
• Write an equation:  [latex]5x-28=232[/latex]

[latex]\begin{array}{r}5x-28=232\\5x=260\\x=52\,\,\,\end{array}[/latex]

[latex]\begin{array}{r}5\left(52\right)-28=232\\5\left(52\right)=260\\260=260\end{array}[/latex].

In the video that follows, we show another example of how to translate a sentence into a mathematical expression using a problem solving method.

Another type of number problem involves consecutive numbers. Consecutive numbers are numbers that come one after the other, such as 3, 4, 5. If we are looking for several consecutive numbers it is important to first identify what they look like with variables before we set up the equation.

For example, let’s say I want to know the next consecutive integer after 4. In mathematical terms, we would add 1 to 4 to get 5. We can generalize this idea as follows: the consecutive integer of any number, x , is [latex]x+1[/latex]. If we continue this pattern we can define any number of consecutive integers from any starting point. The following table shows how to describe four consecutive integers using algebraic notation.

We apply the idea of consecutive integers to solving a word problem in the following example.

The sum of three consecutive integers is 93. What are the integers?

• Read and understand:  We are looking for three numbers, and we know they are consecutive integers.
• Constants and Variables:  93 is a constant. The first integer we will call x . Second: [latex]x+1[/latex] Third: [latex]x+2[/latex]
• Translate:  The sum of three consecutive integers translates to [latex]x+\left(x+1\right)+\left(x+2\right)[/latex], based on how we defined the first, second, and third integers. Notice how we placed parentheses around the second and third integers. This is just to make each integer more distinct. is 93 translates to [latex]=93[/latex] because is is associated with equals.
• Write an equation:  [latex]x+\left(x+1\right)+\left(x+2\right)=93[/latex]

[latex]x+x+1+x+2=93[/latex]

Combine like terms, simplify, and solve.

[latex]\begin{array}{r}x+x+1+x+2=93\\3x+3 = 93\\\underline{-3\,\,\,\,\,-3}\\3x=90\\\frac{3x}{3}=\frac{90}{3}\\x=30\end{array}[/latex]

• Check and Interpret: Okay, we have found a value for x . We were asked to find the value of three consecutive integers, so we need to do a couple more steps. Remember how we defined our variables: The first integer we will call [latex]x[/latex], [latex]x=30[/latex] Second: [latex]x+1[/latex] so [latex]30+1=31[/latex] Third: [latex]x+2[/latex] so [latex]30+2=32[/latex] The three consecutive integers whose sum is [latex]93[/latex] are [latex]30\text{, }31\text{, and }32[/latex]

• Writing Algebraic Expressions. Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/uD_V5t-6Kzs . License : CC BY: Attribution
• Write and Solve a Linear Equations to Solve a Number Problem (1). Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/izIIqOztUyI . License : CC BY: Attribution
• Write and Solve a Linear Equations to Solve a Number Problem (Consecutive Integers). Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/S5HZy3jKodg . License : CC BY: Attribution