critical thinking and problem solving steps

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How to build critical thinking skills for better decision-making

It’s simple in theory, but tougher in practice – here are five tips to get you started.

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Have you heard the riddle about two coins that equal thirty cents, but one of them is not a nickel? What about the one where a surgeon says they can’t operate on their own son?

Those brain teasers tap into your critical thinking skills. But your ability to think critically isn’t just helpful for solving those random puzzles – it plays a big role in your career. 

An impressive 81% of employers say critical thinking carries a lot of weight when they’re evaluating job candidates. It ranks as the top competency companies consider when hiring recent graduates (even ahead of communication ). Plus, once you’re hired, several studies show that critical thinking skills are highly correlated with better job performance.

So what exactly are critical thinking skills? And even more importantly, how do you build and improve them? 

What is critical thinking?

Critical thinking is the ability to evaluate facts and information, remain objective, and make a sound decision about how to move forward.

Does that sound like how you approach every decision or problem? Not so fast. Critical thinking seems simple in theory but is much tougher in practice, which helps explain why 65% of employers say their organization has a need for more critical thinking. 

In reality, critical thinking doesn’t come naturally to a lot of us. In order to do it well, you need to:

• Remain open-minded and inquisitive, rather than relying on assumptions or jumping to conclusions
• Ask questions and dig deep, rather than accepting information at face value
• Keep your own biases and perceptions in check to stay as objective as possible
• Rely on your emotional intelligence to fill in the blanks and gain a more well-rounded understanding of a situation

So, critical thinking isn’t just being intelligent or analytical. In many ways, it requires you to step outside of yourself, let go of your own preconceived notions, and approach a problem or situation with curiosity and fairness.

It’s a challenge, but it’s well worth it. Critical thinking skills will help you connect ideas, make reasonable decisions, and solve complex problems.

7 critical thinking skills to help you dig deeper

Critical thinking is often labeled as a skill itself (you’ll see it bulleted as a desired trait in a variety of job descriptions). But it’s better to think of critical thinking less as a distinct skill and more as a collection or category of skills. 

To think critically, you’ll need to tap into a bunch of your other soft skills. Here are seven of the most important. 

Open-mindedness

It’s important to kick off the critical thinking process with the idea that anything is possible. The more you’re able to set aside your own suspicions, beliefs, and agenda, the better prepared you are to approach the situation with the level of inquisitiveness you need. 

That means not closing yourself off to any possibilities and allowing yourself the space to pull on every thread – yes, even the ones that seem totally implausible.

As Christopher Dwyer, Ph.D. writes in a piece for Psychology Today , “Even if an idea appears foolish, sometimes its consideration can lead to an intelligent, critically considered conclusion.” He goes on to compare the critical thinking process to brainstorming . Sometimes the “bad” ideas are what lay the foundation for the good ones. 

Open-mindedness is challenging because it requires more effort and mental bandwidth than sticking with your own perceptions. Approaching problems or situations with true impartiality often means:

• Practicing self-regulation : Giving yourself a pause between when you feel something and when you actually react or take action.
• Challenging your own biases: Acknowledging your biases and seeking feedback are two powerful ways to get a broader understanding. 

Critical thinking example

In a team meeting, your boss mentioned that your company newsletter signups have been decreasing and she wants to figure out why.

At first, you feel offended and defensive – it feels like she’s blaming you for the dip in subscribers. You recognize and rationalize that emotion before thinking about potential causes. You have a hunch about what’s happening, but you will explore all possibilities and contributions from your team members.

Observation

Observation is, of course, your ability to notice and process the details all around you (even the subtle or seemingly inconsequential ones). Critical thinking demands that you’re flexible and willing to go beyond surface-level information, and solid observation skills help you do that.

Your observations help you pick up on clues from a variety of sources and experiences, all of which help you draw a final conclusion. After all, sometimes it’s the most minuscule realization that leads you to the strongest conclusion.

Over the next week or so, you keep a close eye on your company’s website and newsletter analytics to see if numbers are in fact declining or if your boss’s concerns were just a fluke. 

Critical thinking hinges on objectivity. And, to be objective, you need to base your judgments on the facts – which you collect through research. You’ll lean on your research skills to gather as much information as possible that’s relevant to your problem or situation. 

Keep in mind that this isn’t just about the quantity of information – quality matters too. You want to find data and details from a variety of trusted sources to drill past the surface and build a deeper understanding of what’s happening. 

You dig into your email and website analytics to identify trends in bounce rates, time on page, conversions, and more. You also review recent newsletters and email promotions to understand what customers have received, look through current customer feedback, and connect with your customer support team to learn what they’re hearing in their conversations with customers.

The critical thinking process is sort of like a treasure hunt – you’ll find some nuggets that are fundamental for your final conclusion and some that might be interesting but aren’t pertinent to the problem at hand.

That’s why you need analytical skills. They’re what help you separate the wheat from the chaff, prioritize information, identify trends or themes, and draw conclusions based on the most relevant and influential facts. 

It’s easy to confuse analytical thinking with critical thinking itself, and it’s true there is a lot of overlap between the two. But analytical thinking is just a piece of critical thinking. It focuses strictly on the facts and data, while critical thinking incorporates other factors like emotions, opinions, and experiences. 

As you analyze your research, you notice that one specific webpage has contributed to a significant decline in newsletter signups. While all of the other sources have stayed fairly steady with regard to conversions, that one has sharply decreased.

You decide to move on from your other hypotheses about newsletter quality and dig deeper into the analytics. 

One of the traps of critical thinking is that it’s easy to feel like you’re never done. There’s always more information you could collect and more rabbit holes you could fall down.

But at some point, you need to accept that you’ve done your due diligence and make a decision about how to move forward. That’s where inference comes in. It’s your ability to look at the evidence and facts available to you and draw an informed conclusion based on those. 

When you’re so focused on staying objective and pursuing all possibilities, inference can feel like the antithesis of critical thinking. But ultimately, it’s your inference skills that allow you to move out of the thinking process and onto the action steps. 

You dig deeper into the analytics for the page that hasn’t been converting and notice that the sharp drop-off happened around the same time you switched email providers.

After looking more into the backend, you realize that the signup form on that page isn’t correctly connected to your newsletter platform. It seems like anybody who has signed up on that page hasn’t been fed to your email list. 

Communication

3 ways to improve your communication skills at work

If and when you identify a solution or answer, you can’t keep it close to the vest. You’ll need to use your communication skills to share your findings with the relevant stakeholders – like your boss, team members, or anybody who needs to be involved in the next steps.

Your analysis skills will come in handy here too, as they’ll help you determine what information other people need to know so you can avoid bogging them down with unnecessary details. 

In your next team meeting, you pull up the analytics and show your team the sharp drop-off as well as the missing connection between that page and your email platform. You ask the web team to reinstall and double-check that connection and you also ask a member of the marketing team to draft an apology email to the subscribers who were missed. 

Problem-solving

Critical thinking and problem-solving are two more terms that are frequently confused. After all, when you think critically, you’re often doing so with the objective of solving a problem.

The best way to understand how problem-solving and critical thinking differ is to think of problem-solving as much more narrow. You’re focused on finding a solution.

In contrast, you can use critical thinking for a variety of use cases beyond solving a problem – like answering questions or identifying opportunities for improvement. Even so, within the critical thinking process, you’ll flex your problem-solving skills when it comes time to take action. 

Once the fix is implemented, you monitor the analytics to see if subscribers continue to increase. If not (or if they increase at a slower rate than you anticipated), you’ll roll out some other tests like changing the CTA language or the placement of the subscribe form on the page.

5 ways to improve your critical thinking skills

Beyond the buzzwords: Why interpersonal skills matter at work

Think critically about critical thinking and you’ll quickly realize that it’s not as instinctive as you’d like it to be. Fortunately, your critical thinking skills are learned competencies and not inherent gifts – and that means you can improve them. Here’s how:

• Practice active listening: Active listening helps you process and understand what other people share. That’s crucial as you aim to be open-minded and inquisitive.
• Ask open-ended questions: If your critical thinking process involves collecting feedback and opinions from others, ask open-ended questions (meaning, questions that can’t be answered with “yes” or “no”). Doing so will give you more valuable information and also prevent your own biases from influencing people’s input.
• Scrutinize your sources: Figuring out what to trust and prioritize is crucial for critical thinking. Boosting your media literacy and asking more questions will help you be more discerning about what to factor in. It’s hard to strike a balance between skepticism and open-mindedness, but approaching information with questions (rather than unquestioning trust) will help you draw better conclusions. 
• Play a game: Remember those riddles we mentioned at the beginning? As trivial as they might seem, games and exercises like those can help you boost your critical thinking skills. There are plenty of critical thinking exercises you can do individually or as a team . 
• Give yourself time: Research shows that rushed decisions are often regrettable ones. That’s likely because critical thinking takes time – you can’t do it under the wire. So, for big decisions or hairy problems, give yourself enough time and breathing room to work through the process. It’s hard enough to think critically without a countdown ticking in your brain. 

Critical thinking really is critical

The ability to think critically is important, but it doesn’t come naturally to most of us. It’s just easier to stick with biases, assumptions, and surface-level information. 

But that route often leads you to rash judgments, shaky conclusions, and disappointing decisions. So here’s a conclusion we can draw without any more noodling: Even if it is more demanding on your mental resources, critical thinking is well worth the effort.

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How to build your critical thinking skills in 7 steps (with examples)

Critical thinking is, well, critical. By building these skills, you improve your ability to analyze information and come to the best decision possible. In this article, we cover the basics of critical thinking, as well as the seven steps you can use to implement the full critical thinking process. 

Critical thinking comes from asking the right questions to come to the best conclusion possible. Strong critical thinkers analyze information from a variety of viewpoints in order to identify the best course of action.

Don’t worry if you don’t think you have strong critical thinking abilities. In this article, we’ll help you build a foundation for critical thinking so you can absorb, analyze, and make informed decisions. 

What is critical thinking? 

Critical thinking is the ability to collect and analyze information to come to a conclusion. Being able to think critically is important in virtually every industry and applicable across a wide range of positions. That’s because critical thinking isn’t subject-specific—rather, it’s your ability to parse through information, data, statistics, and other details in order to identify a satisfactory solution. 

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Top 8 critical thinking skills

Like most soft skills, critical thinking isn’t something you can take a class to learn. Rather, this skill consists of a variety of interpersonal and analytical skills. Developing critical thinking is more about learning to embrace open-mindedness and bringing analytical thinking to your problem framing process. 

In no particular order, the eight most important critical thinking skills are:

Analytical thinking: Part of critical thinking is evaluating data from multiple sources in order to come to the best conclusions. Analytical thinking allows people to reject bias and strive to gather and consume information to come to the best conclusion. 

Open-mindedness: This critical thinking skill helps you analyze and process information to come to an unbiased conclusion. Part of the critical thinking process is letting your personal biases go and coming to a conclusion based on all of the information. 

Problem solving : Because critical thinking emphasizes coming to the best conclusion based on all of the available information, it’s a key part of problem solving. When used correctly, critical thinking helps you solve any problem—from a workplace challenge to difficulties in everyday life. 

Self-regulation: Self-regulation refers to the ability to regulate your thoughts and set aside any personal biases to come to the best conclusion. In order to be an effective critical thinker, you need to question the information you have and the decisions you favor—only then can you come to the best conclusion. 

Observation: Observation skills help critical thinkers look for things beyond face value. To be a critical thinker you need to embrace multiple points of view, and you can use observation skills to identify potential problems.

Interpretation: Not all data is made equal—and critical thinkers know this. In addition to gathering information, it’s important to evaluate which information is important and relevant to your situation. That way, you can draw the best conclusions from the data you’ve collected. 

Evaluation: When you attempt to answer a hard question, there is rarely an obvious answer. Even though critical thinking emphasizes putting your biases aside, you need to be able to confidently make a decision based on the data you have available. 

Communication: Once a decision has been made, you also need to share this decision with other stakeholders. Effective workplace communication includes presenting evidence and supporting your conclusion—especially if there are a variety of different possible solutions. 

7 steps to critical thinking

Critical thinking is a skill that you can build by following these seven steps. The seven steps to critical thinking help you ensure you’re approaching a problem from the right angle, considering every alternative, and coming to an unbiased conclusion.

 First things first: When to use the 7 step critical thinking process

There’s a lot that goes into the full critical thinking process, and not every decision needs to be this thought out. Sometimes, it’s enough to put aside bias and approach a process logically. In other, more complex cases, the best way to identify the ideal outcome is to go through the entire critical thinking process. 

The seven-step critical thinking process is useful for complex decisions in areas you are less familiar with. Alternatively, the seven critical thinking steps can help you look at a problem you’re familiar with from a different angle, without any bias. 

If you need to make a less complex decision, consider another problem solving strategy instead. Decision matrices are a great way to identify the best option between different choices. Check out our article on 7 steps to creating a decision matrix .

1. Identify the problem

Before you put those critical thinking skills to work, you first need to identify the problem you’re solving. This step includes taking a look at the problem from a few different perspectives and asking questions like: 

What’s happening? 

Why is this happening? 

What assumptions am I making? 

At first glance, how do I think we can solve this problem? 

A big part of developing your critical thinking skills is learning how to come to unbiased conclusions. In order to do that, you first need to acknowledge the biases that you currently have. Does someone on your team think they know the answer? Are you making assumptions that aren’t necessarily true? Identifying these details helps you later on in the process. 

2. Research

At this point, you likely have a general idea of the problem—but in order to come up with the best solution, you need to dig deeper. 

During the research process, collect information relating to the problem, including data, statistics, historical project information, team input, and more. Make sure you gather information from a variety of sources, especially if those sources go against your personal ideas about what the problem is or how to solve it.

Gathering varied information is essential for your ability to apply the critical thinking process. If you don’t get enough information, your ability to make a final decision will be skewed. Remember that critical thinking is about helping you identify the objective best conclusion. You aren’t going with your gut—you’re doing research to find the best option

3. Determine data relevance

Just as it’s important to gather a variety of information, it is also important to determine how relevant the different information sources are. After all, just because there is data doesn’t mean it’s relevant. 

Once you’ve gathered all of the information, sift through the noise and identify what information is relevant and what information isn’t. Synthesizing all of this information and establishing significance helps you weigh different data sources and come to the best conclusion later on in the critical thinking process. 

To determine data relevance, ask yourself:

How reliable is this information? 

How significant is this information? 

Is this information outdated? Is it specialized in a specific field? 

4. Ask questions

One of the most useful parts of the critical thinking process is coming to a decision without bias. In order to do so, you need to take a step back from the process and challenge the assumptions you’re making. 

We all have bias—and that isn’t necessarily a bad thing. Unconscious biases (also known as cognitive biases) often serve as mental shortcuts to simplify problem solving and aid decision making. But even when biases aren’t inherently bad, you must be aware of your biases in order to put them aside when necessary. 

Before coming to a solution, ask yourself:

Am I making any assumptions about this information? 

Are there additional variables I haven’t considered? 

Have I evaluated the information from every perspective? 

Are there any viewpoints I missed? 

5. Identify the best solution

Finally, you’re ready to come to a conclusion. To identify the best solution, draw connections between causes and effects. Use the facts you’ve gathered to evaluate the most objective conclusion. 

Keep in mind that there may be more than one solution. Often, the problems you’re facing are complex and intricate. The critical thinking process doesn’t necessarily lead to a cut-and-dry solution—instead, the process helps you understand the different variables at play so you can make an informed decision. 

6. Present your solution

Communication is a key skill for critical thinkers. It isn’t enough to think for yourself—you also need to share your conclusion with other project stakeholders. If there are multiple solutions, present them all. There may be a case where you implement one solution, then test to see if it works before implementing another solution. 

7. Analyze your decision

The seven-step critical thinking process yields a result—and you then need to put that solution into place. After you’ve implemented your decision, evaluate whether or not it was effective. Did it solve the initial problem? What lessons—whether positive or negative—can you learn from this experience to improve your critical thinking for next time? 

Depending on how your team shares information, consider documenting lessons learned in a central source of truth. That way, team members that are making similar or related decisions in the future can understand why you made the decision you made and what the outcome was. 

Example of critical thinking in the workplace

Imagine you work in user experience design (UX). Your team is focused on pricing and packaging and ensuring customers have a clear understanding of the different services your company offers. Here’s how to apply the critical thinking process in the workplace in seven steps: 

Start by identifying the problem

Your current pricing page isn’t performing as well as you want. You’ve heard from customers that your services aren’t clear, and that the page doesn’t answer the questions they have. This page is really important for your company, since it’s where your customers sign up for your service. You and your team have a few theories about why your current page isn’t performing well, but you decide to apply the critical thinking process to ensure you come to the best decision for the page. 

Gather information about how the problem started

Part of identifying the problem includes understanding how the problem started. The pricing and packaging page is important—so when your team initially designed the page, they certainly put a lot of thought into it. Before you begin researching how to improve the page, ask yourself: 

Why did you design the pricing page the way you did? 

Which stakeholders need to be involved in the decision making process? 

Where are users getting stuck on the page?

Are any features currently working?

Then, you research

In addition to understanding the history of the pricing and packaging page, it’s important to understand what works well. Part of this research means taking a look at what your competitor’s pricing pages look like. 

Ask yourself: 

How have our competitors set up their pricing pages?

Are there any pricing page best practices? 

How does color, positioning, and animation impact navigation? 

Are there any standard page layouts customers expect to see? 

Organize and analyze information

You’ve gathered all of the information you need—now you need to organize and analyze it. What trends, if any, are you noticing? Is there any particularly relevant or important information that you have to consider? 

Ask open-ended questions to reduce bias

In the case of critical thinking, it’s important to address and set bias aside as much as possible. Ask yourself: 

Is there anything I’m missing? 

Have I connected with the right stakeholders? 

Are there any other viewpoints I should consider? 

Determine the best solution for your team

You now have all of the information you need to design the best pricing page. Depending on the complexity of the design, you may want to design a few options to present to a small group of customers or A/B test on the live website.

Present your solution to stakeholders

Critical thinking can help you in every element of your life, but in the workplace, you must also involve key project stakeholders . Stakeholders help you determine next steps, like whether you’ll A/B test the page first. Depending on the complexity of the issue, consider hosting a meeting or sharing a status report to get everyone on the same page. 

Analyze the results

No process is complete without evaluating the results. Once the new page has been live for some time, evaluate whether it did better than the previous page. What worked? What didn’t? This also helps you make better critical decisions later on.

Critically successful 

Critical thinking takes time to build, but with effort and patience you can apply an unbiased, analytical mind to any situation. Critical thinking makes up one of many soft skills that makes you an effective team member, manager, and worker. If you’re looking to hone your skills further, read our article on the 25 project management skills you need to succeed . 

Related resources

12 tips for effective communication in the workplace

Unmanaged business goals don’t work. Here’s what does.

How Asana uses work management to drive product development

How Asana uses work management to streamline project intake processes

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Critical Thinking and Decision-Making  - What is Critical Thinking?

Critical thinking and decision-making  -, what is critical thinking, critical thinking and decision-making what is critical thinking.

Critical Thinking and Decision-Making: What is Critical Thinking?

Lesson 1: what is critical thinking, what is critical thinking.

Critical thinking is a term that gets thrown around a lot. You've probably heard it used often throughout the years whether it was in school, at work, or in everyday conversation. But when you stop to think about it, what exactly is critical thinking and how do you do it ?

Watch the video below to learn more about critical thinking.

Simply put, critical thinking is the act of deliberately analyzing information so that you can make better judgements and decisions . It involves using things like logic, reasoning, and creativity, to draw conclusions and generally understand things better.

This may sound like a pretty broad definition, and that's because critical thinking is a broad skill that can be applied to so many different situations. You can use it to prepare for a job interview, manage your time better, make decisions about purchasing things, and so much more.

The process

As humans, we are constantly thinking . It's something we can't turn off. But not all of it is critical thinking. No one thinks critically 100% of the time... that would be pretty exhausting! Instead, it's an intentional process , something that we consciously use when we're presented with difficult problems or important decisions.

Improving your critical thinking

In order to become a better critical thinker, it's important to ask questions when you're presented with a problem or decision, before jumping to any conclusions. You can start with simple ones like What do I currently know? and How do I know this? These can help to give you a better idea of what you're working with and, in some cases, simplify more complex issues.  

Real-world applications

Let's take a look at how we can use critical thinking to evaluate online information . Say a friend of yours posts a news article on social media and you're drawn to its headline. If you were to use your everyday automatic thinking, you might accept it as fact and move on. But if you were thinking critically, you would first analyze the available information and ask some questions :

• What's the source of this article?
• Is the headline potentially misleading?
• What are my friend's general beliefs?
• Do their beliefs inform why they might have shared this?

After analyzing all of this information, you can draw a conclusion about whether or not you think the article is trustworthy.

Critical thinking has a wide range of real-world applications . It can help you to make better decisions, become more hireable, and generally better understand the world around you.

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5.3: Using Critical Thinking Skills- Decision Making and Problem Solving

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Introduction

In previous lessons, you learned about characteristics of critical thinkers and information literacy. In this module, you will learn how to put those skills into action through the important processes of decision making and problem solving.

As with the process of developing information literacy, asking questions is an important part of decision making and problem solving. Thinking is born of questions. Questions wake us up. Questions alert us to hidden assumptions. Questions promote curiosity and create new distinctions. Questions open up options that otherwise go unexplored. Besides, teachers love questions.

We make decisions all the time, whether we realize it or not. Even avoiding decisions is a form of decision making. The student who puts off studying for a test until the last minute, for example, might really be saying, “I’ve decided this course is not important” or “I’ve decided not to give this course much time.”

Decisions are specific and lead to focused action. When we decide, we narrow down. We give up actions that are inconsistent with our decision.

In addition to decision making, critical thinking skills are important to solving problems. We encounter problems every single day, and having a solid process in place is important to solving them.

At the end of the lesson, you will learn how to put your critical thinking skills to use by reviewing an example of how critical thinking skills can help with making those everyday decisions.

Using Critical Thinking Skills: Asking Questions

Questions have practical power. Asking for directions can shave hours off a trip. Asking a librarian for help can save hours of research time. Asking how to address an instructor—by first name or formal title—can change your relationship with that person. Asking your academic advisor a question can alter your entire education. Asking people about their career plans can alter your career plans.

You can use the following strategies to develop questions for problem solving and decision making:

Ask questions that create possibilities. At any moment, you can ask a question that opens up a new possibility for someone.

• Suppose a friend walks up to you and says, “People just never listen to me.” You listen carefully. Then you say, “Let me make sure I understand. Who, specifically, doesn’t listen to you? And how do you know they’re not listening?”
• Another friend tells you, “I just lost my job to someone who has less experience. That should never happen.” You respond, “Wow, that’s hard. I’m sorry you lost your job. Who can help you find another job?”
• A relative seeks your advice. “My mother-in-law makes me mad,” she says. “You’re having a hard time with this person,” you say. “What does she say and do when you feel mad at her? And are there times when you don’t get mad at her?”

These kinds of questions—asked with compassion and a sense of timing—can help people move from complaining about problems to solving them.

Discover new questions. Students sometimes say, “I don’t know what questions to ask.” Consider the following ways to create questions about any subject you want to study or about any

area of your life that you want to change:

• Let your pen start moving. Sometimes you can access a deeper level of knowledge by taking out your pen, putting it on a piece of paper, and writing down questions—even before you know what to write. Don’t think. Just watch the pen move across the paper. Notice what appears. The results might be surprising.
• Ask about what’s missing . Another way to invent useful questions is to notice what’s missing from your life and then ask how to supply it. For example, if you want to take better notes, you can write, “What’s missing is skill in note taking. How can I gain more skill in taking notes?” If you always feel rushed, you can write, “What’s missing is time. How do I create enough time in my day to actually do the things that I say I want to do?”
• Pretend to be someone else. Another way to invent questions is first to think of someone you greatly respect. Then pretend you’re that person. Ask the questions you think she would ask.
• What can I do when ... an instructor calls on me in class and I have no idea what to say? When a teacher doesn’t show up for class on time? When I feel overwhelmed with assignments?
• How can I ... take the kind of courses that I want? Expand my career options? Become much more effective as a student, starting today?
• When do I ... decide on a major? Transfer to another school? Meet with an instructor to discuss an upcoming term paper?
• What else do I want to know about ... my academic plan? My career plan? My options for job hunting? My friends? My relatives? My spouse?
• Who can I ask about ... my career options? My major? My love life? My values and purpose in life?

Many times you can quickly generate questions by simply asking yourself, “What else do I want to know?” Ask this question immediately after you read a paragraph in a book or listen to someone speak.

Start from the assumption that you are brilliant. Then ask questions to unlock your brilliance.

Using Critical Thinking Skills in Decision Making

As you develop your critical thinking skills, you can apply them as you make decisions. The following suggestions can help in your decision-making process:

Recognize decisions. Decisions are more than wishes or desires. There’s a world of difference between “I wish I could be a better student” and “I will take more powerful notes, read with greater retention, and review my class notes daily.” Deciding to eat fruit for dessert instead of ice cream rules out the next trip to the ice cream store.

Establish priorities. Some decisions are trivial. No matter what the outcome, your life is not affected much. Other decisions can shape your circumstances for years. Devote more time and energy to the decisions with big outcomes.

Base decisions on a life plan. The benefit of having long-term goals for our lives is that they provide a basis for many of our daily decisions. Being certain about what we want to accomplish this year and this month makes today’s choices more clear.

Balance learning styles in decision making. To make decisions more effectively, use all four modes of learning explained in a previous lesson. The key is to balance reflection with action, and thinking with experience. First, take the time to think creatively, and generate many options. Then think critically about the possible consequences of each option before choosing one. Remember, however, that thinking is no substitute for experience. Act on your chosen option, and notice what happens. If you’re not getting the results you want, then quickly return to creative thinking to invent new options.

Choose an overall strategy. Every time you make a decision, you choose a strategy—even when you’re not aware of it. Effective decision makers can articulate and choose from among several strategies. For example:

• Find all of the available options, and choose one deliberately. Save this strategy for times when you have a relatively small number of options, each of which leads to noticeably different results.
• Find all of the available options, and choose one randomly. This strategy can be risky. Save it for times when your options are basically similar and fairness is the main issue.
• Limit the options, and then choose. When deciding which search engine to use, visit many search sites and then narrow the list down to two or three from which to choose.

Use time as an ally. Sometimes we face dilemmas—situations in which any course of action leads to undesirable consequences. In such cases, consider putting a decision on hold. Wait it out. Do nothing until the circumstances change, making one alternative clearly preferable to another.

Use intuition. Some decisions seem to make themselves. A solution pops into your mind, and you gain newfound clarity. Using intuition is not the same as forgetting about the decision or refusing to make it. Intuitive decisions usually arrive after we’ve gathered the relevant facts and faced a problem for some time.

Evaluate your decision. Hindsight is a source of insight. After you act on a decision, observe the consequences over time. Reflect on how well your decision worked and what you might have done differently.

Think of choices. This final suggestion involves some creative thinking. Consider that the word decide derives from the same roots as suicide and homicide . In the spirit of those words, a decision forever “kills” all other options. That’s kind of heavy. Instead, use the word choice , and see whether it frees up your thinking. When you choose , you express a preference for one option over others. However, those options remain live possibilities for the future. Choose for today, knowing that as you gain more wisdom and experience, you can choose again.

Using Critical Thinking Skills in Problem Solving

Think of problem solving as a process with four Ps : Define the problem , generate possibilities ,

create a plan , and perform your plan.

Step 1: Define the problem. To define a problem effectively, understand what a problem is—a mismatch between what you want and what you have. Problem solving is all about reducing the gap between these two factors.

Tell the truth about what’s present in your life right now, without shame or blame. For example: “I often get sleepy while reading my physics assignments, and after closing the book I cannot remember what I just read.”

Next, describe in detail what you want. Go for specifics: “I want to remain alert as I read about physics. I also want to accurately summarize each chapter I read.”

Remember that when we define a problem in limiting ways, our solutions merely generate new problems. As Albert Einstein said, “The world we have made is a result of the level of thinking we have done thus far. We cannot solve problems at the same level at which we created them” (Calaprice 2000).

This idea has many applications for success in school. An example is the student who struggles with note taking. The problem, she thinks, is that her notes are too sketchy. The logical solution, she decides, is to take more notes; her new goal is to write down almost everything her instructors say. No matter how fast and furiously she writes, she cannot capture all of the instructors’ comments.

Consider what happens when this student defines the problem in a new way. After more thought, she decides that her dilemma is not the quantity of her notes but their quality . She adopts a new format for taking notes, dividing her notepaper into two columns. In the right-hand column, she writes down only the main points of each lecture. In the left-hand column, she notes two or three supporting details for each point.

Over time, this student makes the joyous discovery that there are usually just three or four core ideas to remember from each lecture. She originally thought the solution was to take more notes. What really worked was taking notes in a new way.

Step 2: Generate possibilities. Now put on your creative thinking hat. Open up. Brainstorm as many possible solutions to the problem as you can. At this stage, quantity counts. As you generate possibilities, gather relevant facts. For example, when you’re faced with a dilemma about what courses to take next semester, get information on class times, locations, and instructors. If you haven’t decided which summer job offer to accept, gather information on salary, benefits, and working conditions.

Step 3: Create a plan. After rereading your problem definition and list of possible solutions, choose the solution that seems most workable. Think about specific actions that will reduce the gap between what you have and what you want. Visualize the steps you will take to make this solution a reality, and arrange them in chronological order. To make your plan even more powerful, put it in writing.

Step 4: Perform your plan. This step gets you off your chair and out into the world. Now you actually do what you have planned.

Ultimately, your skill in solving problems lies in how well you perform your plan. Through the quality of your actions, you become the architect of your own success.

When facing problems, experiment with these four Ps, and remember that the order of steps is not absolute. Also remember that any solution has the potential to create new problems. If that happens, cycle through the four Ps of problem solving again.

Critical Thinking Skills in Action: Thinking About Your Major, Part 1

One decision that troubles many students in higher education is the choice of a major. Weighing the benefits, costs, and outcomes of a possible major is an intellectual challenge. This choice is an opportunity to apply your critical thinking, decision-making, and problem-solving skills. The following suggestions will guide you through this seemingly overwhelming process.

The first step is to discover options. You can use the following suggestions to discover options for choosing your major:

Follow the fun. Perhaps you look forward to attending one of your classes and even like completing the assignments. This is a clue to your choice of major.

See whether you can find lasting patterns in the subjects and extracurricular activities that you’ve enjoyed over the years. Look for a major that allows you to continue and expand on these experiences.

Also, sit down with a stack of 3 × 5 cards and brainstorm answers to the following questions:

• What do you enjoy doing most with your unscheduled time?
• Imagine that you’re at a party and having a fascinating conversation. What is this conversation about?
• What kind of problems do you enjoy solving—those that involve people? Products? Ideas?
• What interests are revealed by your choices of reading material, television shows, and other entertainment?
• What would an ideal day look like for you? Describe where you would live, who would be with you, and what you would do throughout the day. Do any of these visions suggest a possible major?

Questions like these can uncover a “fun factor” that energizes you to finish the work of completing a major.

Consider your abilities. In choosing a major, ability counts as much as interest. In addition to considering what you enjoy, think about times and places when you excelled. List the courses that you aced, the work assignments that you mastered, and the hobbies that led to rewards or recognition. Let your choice of a major reflect a discovery of your passions and potentials.

Use formal techniques for self-discovery. Explore questionnaires and inventories that are designed to correlate your interests with specific majors. Examples include the Strong Interest Inventory and the Self-Directed Search. Your academic advisor or someone in your school’s career planning office can give you more details about these and related assessments. For some fun, take several of them and meet with an advisor to interpret the results. Remember inventories can help you gain self-knowledge, and other people can offer valuable perspectives. However, what you do with all this input is entirely up to you.

Critical Thinking Skills in Action: Thinking About Your Major, Part 2

As you review the following additional suggestions of discovering options, think about what strategies you already use in your own decision-making process. Also think about what new strategies you might try in the future.

Link to long-term goals. Your choice of a major can fall into place once you determine what you want in life. Before you choose a major, back up to a bigger picture. List your core values, such as contributing to society, achieving financial security and professional recognition, enjoying good health, or making time for fun. Also write down specific goals that you want to accomplish 5 years, 10 years, or even 50 years from today.

Many students find that the prospect of getting what they want in life justifies all of the time, money, and day-to-day effort invested in going to school. Having a major gives you a powerful incentive for attending classes, taking part in discussions, reading textbooks, writing papers, and completing other assignments. When you see a clear connection between finishing school and creating the life of your dreams, the daily tasks of higher education become charged with meaning.

Ask other people. Key people in your life might have valuable suggestions about your choice of major. Ask for their ideas, and listen with an open mind. At the same time, distance yourself from any pressure to choose a major or career that fails to interest you. If you make a choice solely on the basis of the expectations of other people, you could end up with a major or even a career you don’t enjoy.

Gather information. Check your school’s catalog or website for a list of available majors. Here is a gold mine of information. Take a quick glance, and highlight all the majors that interest you. Then talk to students who have declared these majors. Also read the descriptions of courses required for these majors. Do you get excited about the chance to enroll in them? Pay attention to your gut feelings.

Also chat with instructors who teach courses in a specific major. Ask for copies of their class syllabi. Go to the bookstore and browse the required texts. Based on all of this information, write a list of prospective majors. Discuss them with an academic advisor and someone at your school’s career-planning center.

Invent a major. When choosing a major, you might not need to limit yourself to those listed in your school catalog. Many schools now have flexible programs that allow for independent study. Through such programs, you might be able to combine two existing majors or invent an entirely new one of your own.

Consider a complementary minor. You can add flexibility to your academic program by choosing a minor to complement or contrast with your major. The student who wants to be a minister could opt for a minor in English; all of those courses in composition can help in writing sermons. Or the student with a major in psychology might choose a minor in business administration, with the idea of managing a counseling service some day. An effective choice of a minor can expand your skills and career options.

Think critically about the link between your major and your career. Your career goals might have a significant impact on your choice of major.

You could pursue a rewarding career by choosing among several different majors. Even students planning to apply for law school or medical school have flexibility in their choice of majors. In addition, after graduation, many people tend to be employed in jobs that have little relationship to their major. And you might choose a career in the future that is unrelated to any currently available major.

Critical Thinking Skills in Action: Thinking About Your Major, Part 3

Once you have discovered all of your options, you can move on to the next step in the process— making a trial choice.

Make a Trial Choice

Pretend that you have to choose a major today. Based on the options for a major that you’ve already discovered, write down the first three ideas that come to mind. Review the list for a few minutes, and then choose one.

Evaluate Your Trial Choice

When you’ve made a trial choice of major, take on the role of a scientist. Treat your choice as a hypothesis, and then design a series of experiments to evaluate and test it. For example:

• Schedule office meetings with instructors who teach courses in the major. Ask about required course work and career options in the field.
• Discuss your trial choice with an academic advisor or career counselor.
• Enroll in a course related to your possible major. Remember that introductory courses might not give you a realistic picture of the workload involved in advanced courses. Also, you might not be able to register for certain courses until you’ve actually declared a related major.
• Find a volunteer experience, internship, part-time job, or service-learning experience related to the major.
• Interview students who have declared the same major. Ask them in detail about their experiences and suggestions for success.
• Interview people who work in a field related to the major and “shadow” them—that is, spend time with those people during their workday.
• Think about whether you can complete your major given the amount of time and money that you plan to invest in higher education.
• Consider whether declaring this major would require a transfer to another program or even another school.

If your “experiments” confirm your choice of major, celebrate that fact. If they result in choosing a new major, celebrate that outcome as well.

Also remember that higher education represents a safe place to test your choice of major—and to change your mind. As you sort through your options, help is always available from administrators, instructors, advisors, and peers.

Choose Again

Keep your choice of a major in perspective. There is probably no single “correct” choice. Your unique collection of skills is likely to provide the basis for majoring in several fields.

Odds are that you’ll change your major at least once—and that you’ll change careers several times during your life. One benefit of higher education is mobility. You gain the general skills and knowledge that can help you move into a new major or career field at any time.

Viewing a major as a one-time choice that determines your entire future can raise your stress levels. Instead, look at choosing a major as the start of a continuing path that involves discovery, choice, and passionate action.

As you review this example of how you can use critical thinking to make a decision about choosing your major, think about how you will use your critical thinking to make decisions and solve problems in the future.

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Critical Thinking

Developing the right mindset and skills.

By the Mind Tools Content Team

We make hundreds of decisions every day and, whether we realize it or not, we're all critical thinkers.

We use critical thinking each time we weigh up our options, prioritize our responsibilities, or think about the likely effects of our actions. It's a crucial skill that helps us to cut out misinformation and make wise decisions. The trouble is, we're not always very good at it!

In this article, we'll explore the key skills that you need to develop your critical thinking skills, and how to adopt a critical thinking mindset, so that you can make well-informed decisions.

What Is Critical Thinking?

Critical thinking is the discipline of rigorously and skillfully using information, experience, observation, and reasoning to guide your decisions, actions, and beliefs. You'll need to actively question every step of your thinking process to do it well.

Collecting, analyzing and evaluating information is an important skill in life, and a highly valued asset in the workplace. People who score highly in critical thinking assessments are also rated by their managers as having good problem-solving skills, creativity, strong decision-making skills, and good overall performance. [1]

Key Critical Thinking Skills

Critical thinkers possess a set of key characteristics which help them to question information and their own thinking. Focus on the following areas to develop your critical thinking skills:

Being willing and able to explore alternative approaches and experimental ideas is crucial. Can you think through "what if" scenarios, create plausible options, and test out your theories? If not, you'll tend to write off ideas and options too soon, so you may miss the best answer to your situation.

To nurture your curiosity, stay up to date with facts and trends. You'll overlook important information if you allow yourself to become "blinkered," so always be open to new information.

But don't stop there! Look for opposing views or evidence to challenge your information, and seek clarification when things are unclear. This will help you to reassess your beliefs and make a well-informed decision later. Read our article, Opening Closed Minds , for more ways to stay receptive.

Logical Thinking

You must be skilled at reasoning and extending logic to come up with plausible options or outcomes.

It's also important to emphasize logic over emotion. Emotion can be motivating but it can also lead you to take hasty and unwise action, so control your emotions and be cautious in your judgments. Know when a conclusion is "fact" and when it is not. "Could-be-true" conclusions are based on assumptions and must be tested further. Read our article, Logical Fallacies , for help with this.

Use creative problem solving to balance cold logic. By thinking outside of the box you can identify new possible outcomes by using pieces of information that you already have.

Self-Awareness

Many of the decisions we make in life are subtly informed by our values and beliefs. These influences are called cognitive biases and it can be difficult to identify them in ourselves because they're often subconscious.

Practicing self-awareness will allow you to reflect on the beliefs you have and the choices you make. You'll then be better equipped to challenge your own thinking and make improved, unbiased decisions.

One particularly useful tool for critical thinking is the Ladder of Inference . It allows you to test and validate your thinking process, rather than jumping to poorly supported conclusions.

Developing a Critical Thinking Mindset

Combine the above skills with the right mindset so that you can make better decisions and adopt more effective courses of action. You can develop your critical thinking mindset by following this process:

Gather Information

First, collect data, opinions and facts on the issue that you need to solve. Draw on what you already know, and turn to new sources of information to help inform your understanding. Consider what gaps there are in your knowledge and seek to fill them. And look for information that challenges your assumptions and beliefs.

Be sure to verify the authority and authenticity of your sources. Not everything you read is true! Use this checklist to ensure that your information is valid:

• Are your information sources trustworthy ? (For example, well-respected authors, trusted colleagues or peers, recognized industry publications, websites, blogs, etc.)
• Is the information you have gathered up to date ?
• Has the information received any direct criticism ?
• Does the information have any errors or inaccuracies ?
• Is there any evidence to support or corroborate the information you have gathered?
• Is the information you have gathered subjective or biased in any way? (For example, is it based on opinion, rather than fact? Is any of the information you have gathered designed to promote a particular service or organization?)

If any information appears to be irrelevant or invalid, don't include it in your decision making. But don't omit information just because you disagree with it, or your final decision will be flawed and bias.

Now observe the information you have gathered, and interpret it. What are the key findings and main takeaways? What does the evidence point to? Start to build one or two possible arguments based on what you have found.

You'll need to look for the details within the mass of information, so use your powers of observation to identify any patterns or similarities. You can then analyze and extend these trends to make sensible predictions about the future.

To help you to sift through the multiple ideas and theories, it can be useful to group and order items according to their characteristics. From here, you can compare and contrast the different items. And once you've determined how similar or different things are from one another, Paired Comparison Analysis can help you to analyze them.

The final step involves challenging the information and rationalizing its arguments.

Apply the laws of reason (induction, deduction, analogy) to judge an argument and determine its merits. To do this, it's essential that you can determine the significance and validity of an argument to put it in the correct perspective. Take a look at our article, Rational Thinking , for more information about how to do this.

Once you have considered all of the arguments and options rationally, you can finally make an informed decision.

Afterward, take time to reflect on what you have learned and what you found challenging. Step back from the detail of your decision or problem, and look at the bigger picture. Record what you've learned from your observations and experience.

Critical thinking involves rigorously and skilfully using information, experience, observation, and reasoning to guide your decisions, actions and beliefs. It's a useful skill in the workplace and in life.

You'll need to be curious and creative to explore alternative possibilities, but rational to apply logic, and self-aware to identify when your beliefs could affect your decisions or actions.

You can demonstrate a high level of critical thinking by validating your information, analyzing its meaning, and finally evaluating the argument.

Critical Thinking Infographic

See Critical Thinking represented in our infographic: An Elementary Guide to Critical Thinking .

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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."

Module 5: Thinking and Analysis

Problem-solving with critical thinking, learning outcomes.

• Describe how critical thinking skills can be used in problem-solving

Most of us face problems that we must solve every day. While some problems are more complex than others, we can apply critical thinking skills to every problem by asking questions like, what information am I missing? Why and how is it important? What are the contributing factors that lead to the problem? What resources are available to solve the problem? These questions are just the start of being able to think of innovative and effective solutions. Read through the following critical thinking, problem-solving process to identify steps you are already familiar with as well as opportunities to build a more critical approach to solving problems.

Problem-Solving Process

Step 1: define the problem.

Albert Einstein once said, “If I had an hour to solve a problem, I’d spend 55 minutes thinking about the problem and five minutes thinking about solutions.”

Often, when we first hear of or learn about a problem, we do not have all the information. If we immediately try to find a solution without having a thorough understanding of the problem, then we may only be solving a part of the problem.  This is called a “band-aid fix,” or when a symptom is addressed, but not the actual problem. While these band-aid fixes may provide temporary relief, if the actual problem is not addressed soon, then the problem will continue and likely get worse. Therefore, the first step when using critical thinking to solve problems is to identify the problem. The goal during this step is to gather enough research to determine how widespread the problem is, its nature, and its importance.

Step 2: Analyze the Causes

This step is used to uncover assumptions and underlying problems that are at the root of the problem. This step is important since you will need to ensure that whatever solution is chosen addresses the actual cause, or causes, of the problem.

Asking “why” questions to uncover root causes

A common way to uncover root causes is by asking why questions. When we are given an answer to a why question, we will often need to question that answer itself. Thus the process of asking “why” is an  iterative process —meaning that it is a process that we can repeatedly apply. When we stop asking why questions depends on what information we need and that can differ depending on what the goals are. For a better understanding, see the example below:

Problem: The lamp does not turn on.

• Why doesn’t the lamp turn on? The fuse is blown.
• Why is the fuse blown? There was overloaded circuit.
• Why was the circuit overloaded? The hair dryer was on.

If one is simply a homeowner or tenant, then it might be enough to simply know that if the hair dryer is on, the circuit will overload and turn off.  However, one can always ask further why questions, depending on what the goal is. For example, suppose someone wants to know if all hair dryers overload circuits or just this one. We might continue thus:

• Why did this hair dryer overload the circuit? Because hair dryers in general require a lot of electricity.

But now suppose we are an electrical engineer and are interested in designing a more environmentally friendly hair dryer. In that case, we might ask further:

• Why do hair dryers require so much energy?

As you can see from this example, what counts as a root cause depends on context and interests. The homeowner will not necessarily be interested in asking the further why questions whereas others might be.

Step 3: Generate Solutions

The goal of this step is to generate as many solutions as possible. In order to do so, brainstorm as many ideas as possible, no matter how outrageous or ineffective the idea might seem at the time. During your brainstorming session, it is important to generate solutions freely without editing or evaluating any of the ideas. The more solutions that you can generate, the more innovative and effective your ultimate solution might become upon later review.

You might find that setting a timer for fifteen to thirty minutes will help you to creatively push past the point when you think you are done. Another method might be to set a target for how many ideas you will generate. You might also consider using categories to trigger ideas. If you are brainstorming with a group, consider brainstorming individually for a while and then also brainstorming together as ideas can build from one idea to the next.

Step 4: Select a Solution

Once the brainstorming session is complete, then it is time to evaluate the solutions and select the more effective one.  Here you will consider how each solution will address the causes determined in step 2. It is also helpful to develop the criteria you will use when evaluating each solution, for instance, cost, time, difficulty level, resources needed, etc. Once your criteria for evaluation is established, then consider ranking each criterion by importance since some solutions might meet all criteria, but not to equally effective degrees.

In addition to evaluating by criteria, ensure that you consider possibilities and consequences of all serious contenders to address any drawbacks to a solution. Lastly, ensure that the solutions are actually feasible.

Step 6: Put Solution into Action

While many problem-solving models stop at simply selecting a solution, in order to actually solve a problem, the solution must be put into action. Here, you take responsibility to create, communicate, and execute the plan with detailed organizational logistics by addressing who will be responsible for what, when, and how.

Step 7: Evaluate progress

The final step when employing critical thinking to problem-solving is to evaluate the progress of the solution. Since critical thinking demands open-mindedness, analysis, and a willingness to change one’s mind, it is important to monitor how well the solution has actually solved the problem in order to determine if any course correction is needed.

While we solve problems every day, following the process to apply more critical thinking approaches in each step by considering what information might be missing; analyzing the problem and causes; remaining open-minded while brainstorming solutions; and providing criteria for, evaluating, and monitoring solutions can help you to become a better problem-solver and strengthen your critical thinking skills.

iterative process: one that can be repeatedly applied

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What are critical thinking skills?

How to develop critical thinking skills: 12 tips, how to practice critical thinking skills at work, become your own best critic.

A client requests a tight deadline on an intense project. Your childcare provider calls in sick on a day full of meetings. Payment from a contract gig is a month behind. 

Your day-to-day will always have challenges, big and small. And no matter the size and urgency, they all ask you to use critical thinking to analyze the situation and arrive at the right solution. 

Critical thinking includes a wide set of soft skills that encourage continuous learning, resilience , and self-reflection. The more you add to your professional toolbelt, the more equipped you’ll be to tackle whatever challenge presents itself. Here’s how to develop critical thinking, with examples explaining how to use it.

Critical thinking skills are the skills you use to analyze information, imagine scenarios holistically, and create rational solutions. It’s a type of emotional intelligence that stimulates effective problem-solving and decision-making . 

When you fine-tune your critical thinking skills, you seek beyond face-value observations and knee-jerk reactions. Instead, you harvest deeper insights and string together ideas and concepts in logical, sometimes out-of-the-box , ways. 

Imagine a team working on a marketing strategy for a new set of services. That team might use critical thinking to balance goals and key performance indicators , like new customer acquisition costs, average monthly sales, and net profit margins. They understand the connections between overlapping factors to build a strategy that stays within budget and attracts new sales. 

Looking for ways to improve critical thinking skills? Start by brushing up on the following soft skills that fall under this umbrella: 

• Analytical thinking: Approaching problems with an analytical eye includes breaking down complex issues into small chunks and examining their significance. An example could be organizing customer feedback to identify trends and improve your product offerings. 
• Open-mindedness: Push past cognitive biases and be receptive to different points of view and constructive feedback . Managers and team members who keep an open mind position themselves to hear new ideas that foster innovation . 
• Creative thinking: With creative thinking , you can develop several ideas to address a single problem, like brainstorming more efficient workflow best practices to boost productivity and employee morale . 
• Self-reflection: Self-reflection lets you examine your thinking and assumptions to stimulate healthier collaboration and thought processes. Maybe a bad first impression created a negative anchoring bias with a new coworker. Reflecting on your own behavior stirs up empathy and improves the relationship. 
• Evaluation: With evaluation skills, you tackle the pros and cons of a situation based on logic rather than emotion. When prioritizing tasks , you might be tempted to do the fun or easy ones first, but evaluating their urgency and importance can help you make better decisions. 

There’s no magic method to change your thinking processes. Improvement happens with small, intentional changes to your everyday habits until a more critical approach to thinking is automatic. 

Here are 12 tips for building stronger self-awareness and learning how to improve critical thinking: 

1. Be cautious

There’s nothing wrong with a little bit of skepticism. One of the core principles of critical thinking is asking questions and dissecting the available information. You might surprise yourself at what you find when you stop to think before taking action. 

Before making a decision, use evidence, logic, and deductive reasoning to support your own opinions or challenge ideas. It helps you and your team avoid falling prey to bad information or resistance to change .

2. Ask open-ended questions

“Yes” or “no” questions invite agreement rather than reflection. Instead, ask open-ended questions that force you to engage in analysis and rumination. Digging deeper can help you identify potential biases, uncover assumptions, and arrive at new hypotheses and possible solutions. 

3. Do your research

No matter your proficiency, you can always learn more. Turning to different points of view and information is a great way to develop a comprehensive understanding of a topic and make informed decisions. You’ll prioritize reliable information rather than fall into emotional or automatic decision-making. 

4. Consider several opinions

You might spend so much time on your work that it’s easy to get stuck in your own perspective, especially if you work independently on a remote team . Make an effort to reach out to colleagues to hear different ideas and thought patterns. Their input might surprise you.

If or when you disagree, remember that you and your team share a common goal. Divergent opinions are constructive, so shift the focus to finding solutions rather than defending disagreements. 

5. Learn to be quiet

Active listening is the intentional practice of concentrating on a conversation partner instead of your own thoughts. It’s about paying attention to detail and letting people know you value their opinions, which can open your mind to new perspectives and thought processes.

If you’re brainstorming with your team or having a 1:1 with a coworker , listen, ask clarifying questions, and work to understand other peoples’ viewpoints. Listening to your team will help you find fallacies in arguments to improve possible solutions.

6. Schedule reflection

Whether waking up at 5 am or using a procrastination hack, scheduling time to think puts you in a growth mindset . Your mind has natural cognitive biases to help you simplify decision-making, but squashing them is key to thinking critically and finding new solutions besides the ones you might gravitate toward. Creating time and calm space in your day gives you the chance to step back and visualize the biases that impact your decision-making. 

7. Cultivate curiosity

With so many demands and job responsibilities, it’s easy to seek solace in routine. But getting out of your comfort zone helps spark critical thinking and find more solutions than you usually might.

If curiosity doesn’t come naturally to you, cultivate a thirst for knowledge by reskilling and upskilling . Not only will you add a new skill to your resume , but expanding the limits of your professional knowledge might motivate you to ask more questions. 

You don’t have to develop critical thinking skills exclusively in the office. Whether on your break or finding a hobby to do after work, playing strategic games or filling out crosswords can prime your brain for problem-solving. 

9. Write it down

Recording your thoughts with pen and paper can lead to stronger brain activity than typing them out on a keyboard. If you’re stuck and want to think more critically about a problem, writing your ideas can help you process information more deeply.

The act of recording ideas on paper can also improve your memory . Ideas are more likely to linger in the background of your mind, leading to deeper thinking that informs your decision-making process. 

10. Speak up

Take opportunities to share your opinion, even if it intimidates you. Whether at a networking event with new people or a meeting with close colleagues, try to engage with people who challenge or help you develop your ideas. Having conversations that force you to support your position encourages you to refine your argument and think critically. 

11. Stay humble

Ideas and concepts aren’t the same as real-life actions. There may be such a thing as negative outcomes, but there’s no such thing as a bad idea. At the brainstorming stage , don’t be afraid to make mistakes.

Sometimes the best solutions come from off-the-wall, unorthodox decisions. Sit in your creativity , let ideas flow, and don’t be afraid to share them with your colleagues. Putting yourself in a creative mindset helps you see situations from new perspectives and arrive at innovative conclusions. 

12. Embrace discomfort

Get comfortable feeling uncomfortable . It isn’t easy when others challenge your ideas, but sometimes, it’s the only way to see new perspectives and think critically.

By willingly stepping into unfamiliar territory, you foster the resilience and flexibility you need to become a better thinker. You’ll learn how to pick yourself up from failure and approach problems from fresh angles. 

Thinking critically is easier said than done. To help you understand its impact (and how to use it), here are two scenarios that require critical thinking skills and provide teachable moments. 

Scenario #1: Unexpected delays and budget

Imagine your team is working on producing an event. Unexpectedly, a vendor explains they’ll be a week behind on delivering materials. Then another vendor sends a quote that’s more than you can afford. Unless you develop a creative solution, the team will have to push back deadlines and go over budget, potentially costing the client’s trust. 

Here’s how you could approach the situation with creative thinking:

• Analyze the situation holistically: Determine how the delayed materials and over-budget quote will impact the rest of your timeline and financial resources . That way, you can identify whether you need to build an entirely new plan with new vendors, or if it’s worth it to readjust time and resources. 
• Identify your alternative options: With careful assessment, your team decides that another vendor can’t provide the same materials in a quicker time frame. You’ll need to rearrange assignment schedules to complete everything on time. 
• Collaborate and adapt: Your team has an emergency meeting to rearrange your project schedule. You write down each deliverable and determine which ones you can and can’t complete by the deadline. To compensate for lost time, you rearrange your task schedule to complete everything that doesn’t need the delayed materials first, then advance as far as you can on the tasks that do. 
• Check different resources: In the meantime, you scour through your contact sheet to find alternative vendors that fit your budget. Accounting helps by providing old invoices to determine which vendors have quoted less for previous jobs. After pulling all your sources, you find a vendor that fits your budget. 
• Maintain open communication: You create a special Slack channel to keep everyone up to date on changes, challenges, and additional delays. Keeping an open line encourages transparency on the team’s progress and boosts everyone’s confidence. 

Scenario #2: Differing opinions 

A conflict arises between two team members on the best approach for a new strategy for a gaming app. One believes that small tweaks to the current content are necessary to maintain user engagement and stay within budget. The other believes a bold revamp is needed to encourage new followers and stronger sales revenue. 

Here’s how critical thinking could help this conflict:

• Listen actively: Give both team members the opportunity to present their ideas free of interruption. Encourage the entire team to ask open-ended questions to more fully understand and develop each argument. 
• Flex your analytical skills: After learning more about both ideas, everyone should objectively assess the benefits and drawbacks of each approach. Analyze each idea's risk, merits, and feasibility based on available data and the app’s goals and objectives. 
• Identify common ground: The team discusses similarities between each approach and brainstorms ways to integrate both idea s, like making small but eye-catching modifications to existing content or using the same visual design in new media formats. 
• Test new strategy: To test out the potential of a bolder strategy, the team decides to A/B test both approaches. You create a set of criteria to evenly distribute users by different demographics to analyze engagement, revenue, and customer turnover. 
• Monitor and adapt: After implementing the A/B test, the team closely monitors the results of each strategy. You regroup and optimize the changes that provide stronger results after the testing. That way, all team members understand why you’re making the changes you decide to make.

You can’t think your problems away. But you can equip yourself with skills that help you move through your biggest challenges and find innovative solutions. Learning how to develop critical thinking is the start of honing an adaptable growth mindset. 

Now that you have resources to increase critical thinking skills in your professional development, you can identify whether you embrace change or routine, are open or resistant to feedback, or turn to research or emotion will build self-awareness. From there, tweak and incorporate techniques to be a critical thinker when life presents you with a problem.

Elizabeth Perry, ACC

Elizabeth Perry is a Coach Community Manager at BetterUp. She uses strategic engagement strategies to cultivate a learning community across a global network of Coaches through in-person and virtual experiences, technology-enabled platforms, and strategic coaching industry partnerships. With over 3 years of coaching experience and a certification in transformative leadership and life coaching from Sofia University, Elizabeth leverages transpersonal psychology expertise to help coaches and clients gain awareness of their behavioral and thought patterns, discover their purpose and passions, and elevate their potential. She is a lifelong student of psychology, personal growth, and human potential as well as an ICF-certified ACC transpersonal life and leadership Coach.

How to improve your creative skills for effective problem-solving

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Critical Thinking and Problem-Solving Skills

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Critical thinking is a type of systematic thinking that is used to solve problems using logic. The first step is to gather the information needed to help you solve your problem. You start by analyzing and evaluating sources for authority to give you the best shot at finding something truthful and unbiased. Watch Out For information overload. Access to information is easier than ever these days, and it is easy to get overwhelmed by it all. As you conduct your research, keep your information organized by filtering, synthesizing, and distilling it. And keep your effort timeboxed. Start broad enough to obtain a wide berth, like a fisherman casting a large net into an ocean. This helps find multiple points of view. But don’t spend more time than necessary. Practicing collecting what is sufficient to answer your questions.

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Negley, H. (2022). Critical Thinking and Problem-Solving Skills. In: The Salesforce Consultant’s Guide. Apress, Berkeley, CA. https://doi.org/10.1007/978-1-4842-7960-1_13

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Five Steps to Better Critical-Thinking, Problem-Solving, and Decision-Making Skills

by Mary Ellen Guffey

  Gone are the days when management expected workers to check their brains at the door and do only as told.  As knowledge workers in today's age of information, students will be expected to use their brains in thinking critically.  They'll be solving problems and making decisions, either individually or as parts of teams.  The decisions reached will then be communicated to management, fellow workers, clients, the government, and the public.

      Faced with a problem or a perplexing issue, most of us do a lot of worrying before separating the issues, examining the facts, and reaching a decision.  All that worrying can become directed thinking by channeling it into the following procedure.  To make the best decisions and to become valuable knowledge workers, your students can follow this simple five-step plan.

      1. Identify and clarify the problem.   Your first task is recognizing that a problem exists.  Some problems are big and unmistakable, such as failure of an air-freight delivery service to get packages to customers on time.  Other problems may be continuing annoyances, such as regularly running out of toner for an office copy machine.  The first step in reaching a solution is pinpointing the problem area.       2. Gather information.   Learn more about the problem situation.  Look for possible causes and solutions.  This step may mean checking files, calling suppliers, or brainstorming with fellow workers.  For example, the air-freight delivery service would investigate the tracking systems of the commercial airlines carrying its packages to determine what went wrong.       3. Evaluate the evidence.   Where did the information come from?  Does it represent various points of view?  What biases could be expected from each source?  How accurate is the information gathered?  Is it fact or opinion?  For example, it is a fact that packages are missing;  it is an opinion that they are merely lost and will turn up eventually.       4. Consider alternatives and implications.   Draw conclusions from the gathered evidence and pose solutions.  Then, weigh the advantages and disadvantages of each alternative.  What are the costs, benefits, and consequences? What are the obstacles, and how can they be handled? Most important, what solution best serves your goals and those of your organization? Here's where your creativity is especially important.       5. Choose and implement the best alternative.   Select an alternative and put it into action.  Then, follow through on your decision by monitoring the results of implementing your plan.  The freight company decided to give its unhappy customers free delivery service to make up for the lost packages and downtime.  On the job you would want to continue observing and adjusting the solution to ensure its effectiveness over time.  

  Source:  Mary Ellen Guffey, Business Communication: Process and Product, 2E  (Cincinnati: South-Western College Publishing, 1996), Chapter 1.   Copyright © 1998 by Mary Ellen Guffey

Using Design Method for Problem Solving

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3 Simple Strategies to Improve Students’ Problem-Solving Skills

These strategies are designed to make sure students have a good understanding of problems before attempting to solve them.

Research provides a striking revelation about problem solvers. The best problem solvers approach problems much differently than novices. For instance, one meta-study showed that when experts evaluate graphs , they tend to spend less time on tasks and answer choices and more time on evaluating the axes’ labels and the relationships of variables within the graphs. In other words, they spend more time up front making sense of the data before moving to addressing the task.

While slower in solving problems, experts use this additional up-front time to more efficiently and effectively solve the problem. In one study, researchers found that experts were much better at “information extraction” or pulling the information they needed to solve the problem later in the problem than novices. This was due to the fact that they started a problem-solving process by evaluating specific assumptions within problems, asking predictive questions, and then comparing and contrasting their predictions with results. For example, expert problem solvers look at the problem context and ask a number of questions:

• What do we know about the context of the problem?
• What assumptions are underlying the problem? What’s the story here?
• What qualitative and quantitative information is pertinent?
• What might the problem context be telling us? What questions arise from the information we are reading or reviewing?
• What are important trends and patterns?

As such, expert problem solvers don’t jump to the presented problem or rush to solutions. They invest the time necessary to make sense of the problem.

Now, think about your own students: Do they immediately jump to the question, or do they take time to understand the problem context? Do they identify the relevant variables, look for patterns, and then focus on the specific tasks?

If your students are struggling to develop the habit of sense-making in a problem- solving context, this is a perfect time to incorporate a few short and sharp strategies to support them.

3 Ways to Improve Student Problem-Solving

1. Slow reveal graphs: The brilliant strategy crafted by K–8 math specialist Jenna Laib and her colleagues provides teachers with an opportunity to gradually display complex graphical information and build students’ questioning, sense-making, and evaluating predictions.

For instance, in one third-grade class, students are given a bar graph without any labels or identifying information except for bars emerging from a horizontal line on the bottom of the slide. Over time, students learn about the categories on the x -axis (types of animals) and the quantities specified on the y -axis (number of baby teeth).

The graphs and the topics range in complexity from studying the standard deviation of temperatures in Antarctica to the use of scatterplots to compare working hours across OECD (Organization for Economic Cooperation and Development) countries. The website offers a number of graphs on Google Slides and suggests questions that teachers may ask students. Furthermore, this site allows teachers to search by type of graph (e.g., scatterplot) or topic (e.g., social justice).

2. Three reads: The three-reads strategy tasks students with evaluating a word problem in three different ways . First, students encounter a problem without having access to the question—for instance, “There are 20 kangaroos on the grassland. Three hop away.” Students are expected to discuss the context of the problem without emphasizing the quantities. For instance, a student may say, “We know that there are a total amount of kangaroos, and the total shrinks because some kangaroos hop away.”

Next, students discuss the important quantities and what questions may be generated. Finally, students receive and address the actual problem. Here they can both evaluate how close their predicted questions were from the actual questions and solve the actual problem.

To get started, consider using the numberless word problems on educator Brian Bushart’s site . For those teaching high school, consider using your own textbook word problems for this activity. Simply create three slides to present to students that include context (e.g., on the first slide state, “A salesman sold twice as much pears in the afternoon as in the morning”). The second slide would include quantities (e.g., “He sold 360 kilograms of pears”), and the third slide would include the actual question (e.g., “How many kilograms did he sell in the morning and how many in the afternoon?”). One additional suggestion for teams to consider is to have students solve the questions they generated before revealing the actual question.

3. Three-Act Tasks: Originally created by Dan Meyer, three-act tasks follow the three acts of a story . The first act is typically called the “setup,” followed by the “confrontation” and then the “resolution.”

This storyline process can be used in mathematics in which students encounter a contextual problem (e.g., a pool is being filled with soda). Here students work to identify the important aspects of the problem. During the second act, students build knowledge and skill to solve the problem (e.g., they learn how to calculate the volume of particular spaces). Finally, students solve the problem and evaluate their answers (e.g., how close were their calculations to the actual specifications of the pool and the amount of liquid that filled it).

Often, teachers add a fourth act (i.e., “the sequel”), in which students encounter a similar problem but in a different context (e.g., they have to estimate the volume of a lava lamp). There are also a number of elementary examples that have been developed by math teachers including GFletchy , which offers pre-kindergarten to middle school activities including counting squares , peas in a pod , and shark bait .

Students need to learn how to slow down and think through a problem context. The aforementioned strategies are quick ways teachers can begin to support students in developing the habits needed to effectively and efficiently tackle complex problem-solving.

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• What Is Critical Thinking? | Definition & Examples

What Is Critical Thinking? | Definition & Examples

Published on May 30, 2022 by Eoghan Ryan . Revised on May 31, 2023.

Critical thinking is the ability to effectively analyze information and form a judgment .

To think critically, you must be aware of your own biases and assumptions when encountering information, and apply consistent standards when evaluating sources .

Critical thinking skills help you to:

• Identify credible sources
• Evaluate and respond to arguments
• Assess alternative viewpoints
• Test hypotheses against relevant criteria

Table of contents

Why is critical thinking important, critical thinking examples, how to think critically, other interesting articles, frequently asked questions about critical thinking.

Critical thinking is important for making judgments about sources of information and forming your own arguments. It emphasizes a rational, objective, and self-aware approach that can help you to identify credible sources and strengthen your conclusions.

Critical thinking is important in all disciplines and throughout all stages of the research process . The types of evidence used in the sciences and in the humanities may differ, but critical thinking skills are relevant to both.

In academic writing , critical thinking can help you to determine whether a source:

• Is free from research bias
• Provides evidence to support its research findings
• Considers alternative viewpoints

Outside of academia, critical thinking goes hand in hand with information literacy to help you form opinions rationally and engage independently and critically with popular media.

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Critical thinking can help you to identify reliable sources of information that you can cite in your research paper . It can also guide your own research methods and inform your own arguments.

Outside of academia, critical thinking can help you to be aware of both your own and others’ biases and assumptions.

Academic examples

However, when you compare the findings of the study with other current research, you determine that the results seem improbable. You analyze the paper again, consulting the sources it cites.

You notice that the research was funded by the pharmaceutical company that created the treatment. Because of this, you view its results skeptically and determine that more independent research is necessary to confirm or refute them. Example: Poor critical thinking in an academic context You’re researching a paper on the impact wireless technology has had on developing countries that previously did not have large-scale communications infrastructure. You read an article that seems to confirm your hypothesis: the impact is mainly positive. Rather than evaluating the research methodology, you accept the findings uncritically.

Nonacademic examples

However, you decide to compare this review article with consumer reviews on a different site. You find that these reviews are not as positive. Some customers have had problems installing the alarm, and some have noted that it activates for no apparent reason.

You revisit the original review article. You notice that the words “sponsored content” appear in small print under the article title. Based on this, you conclude that the review is advertising and is therefore not an unbiased source. Example: Poor critical thinking in a nonacademic context You support a candidate in an upcoming election. You visit an online news site affiliated with their political party and read an article that criticizes their opponent. The article claims that the opponent is inexperienced in politics. You accept this without evidence, because it fits your preconceptions about the opponent.

There is no single way to think critically. How you engage with information will depend on the type of source you’re using and the information you need.

However, you can engage with sources in a systematic and critical way by asking certain questions when you encounter information. Like the CRAAP test , these questions focus on the currency , relevance , authority , accuracy , and purpose of a source of information.

When encountering information, ask:

• Who is the author? Are they an expert in their field?
• What do they say? Is their argument clear? Can you summarize it?
• When did they say this? Is the source current?
• Where is the information published? Is it an academic article? Is it peer-reviewed ?
• Why did the author publish it? What is their motivation?
• How do they make their argument? Is it backed up by evidence? Does it rely on opinion, speculation, or appeals to emotion ? Do they address alternative arguments?

Critical thinking also involves being aware of your own biases, not only those of others. When you make an argument or draw your own conclusions, you can ask similar questions about your own writing:

• Am I only considering evidence that supports my preconceptions?
• Is my argument expressed clearly and backed up with credible sources?
• Would I be convinced by this argument coming from someone else?

If you want to know more about ChatGPT, AI tools , citation , and plagiarism , make sure to check out some of our other articles with explanations and examples.

• ChatGPT vs human editor
• ChatGPT citations
• Is ChatGPT trustworthy?
• Using ChatGPT for your studies
• What is ChatGPT?
• Chicago style
• Paraphrasing

 Plagiarism

• Types of plagiarism
• Self-plagiarism
• Avoiding plagiarism
• Academic integrity
• Consequences of plagiarism
• Common knowledge

Prevent plagiarism. Run a free check.

Critical thinking refers to the ability to evaluate information and to be aware of biases or assumptions, including your own.

Like information literacy , it involves evaluating arguments, identifying and solving problems in an objective and systematic way, and clearly communicating your ideas.

Critical thinking skills include the ability to:

You can assess information and arguments critically by asking certain questions about the source. You can use the CRAAP test , focusing on the currency , relevance , authority , accuracy , and purpose of a source of information.

Ask questions such as:

• Who is the author? Are they an expert?
• How do they make their argument? Is it backed up by evidence?

A credible source should pass the CRAAP test  and follow these guidelines:

• The information should be up to date and current.
• The author and publication should be a trusted authority on the subject you are researching.
• The sources the author cited should be easy to find, clear, and unbiased.
• For a web source, the URL and layout should signify that it is trustworthy.

Information literacy refers to a broad range of skills, including the ability to find, evaluate, and use sources of information effectively.

Being information literate means that you:

• Know how to find credible sources
• Use relevant sources to inform your research
• Understand what constitutes plagiarism
• Know how to cite your sources correctly

Confirmation bias is the tendency to search, interpret, and recall information in a way that aligns with our pre-existing values, opinions, or beliefs. It refers to the ability to recollect information best when it amplifies what we already believe. Relatedly, we tend to forget information that contradicts our opinions.

Although selective recall is a component of confirmation bias, it should not be confused with recall bias.

On the other hand, recall bias refers to the differences in the ability between study participants to recall past events when self-reporting is used. This difference in accuracy or completeness of recollection is not related to beliefs or opinions. Rather, recall bias relates to other factors, such as the length of the recall period, age, and the characteristics of the disease under investigation.

Cite this Scribbr article

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Critical thinking definition

Critical thinking, as described by Oxford Languages, is the objective analysis and evaluation of an issue in order to form a judgement.

Active and skillful approach, evaluation, assessment, synthesis, and/or evaluation of information obtained from, or made by, observation, knowledge, reflection, acumen or conversation, as a guide to belief and action, requires the critical thinking process, which is why it's often used in education and academics.

Some even may view it as a backbone of modern thought.

However, it's a skill, and skills must be trained and encouraged to be used at its full potential.

People turn up to various approaches in improving their critical thinking, like:

• Developing technical and problem-solving skills
• Engaging in more active listening
• Actively questioning their assumptions and beliefs
• Seeking out more diversity of thought
• Opening up their curiosity in an intellectual way etc.

Is critical thinking useful in writing?

Critical thinking can help in planning your paper and making it more concise, but it's not obvious at first. We carefully pinpointed some the questions you should ask yourself when boosting critical thinking in writing:

• What information should be included?
• Which information resources should the author look to?
• What degree of technical knowledge should the report assume its audience has?
• What is the most effective way to show information?
• How should the report be organized?
• How should it be designed?
• What tone and level of language difficulty should the document have?

Usage of critical thinking comes down not only to the outline of your paper, it also begs the question: How can we use critical thinking solving problems in our writing's topic?

Let's say, you have a Powerpoint on how critical thinking can reduce poverty in the United States. You'll primarily have to define critical thinking for the viewers, as well as use a lot of critical thinking questions and synonyms to get them to be familiar with your methods and start the thinking process behind it.

Are there any services that can help me use more critical thinking?

We understand that it's difficult to learn how to use critical thinking more effectively in just one article, but our service is here to help.

We are a team specializing in writing essays and other assignments for college students and all other types of customers who need a helping hand in its making. We cover a great range of topics, offer perfect quality work, always deliver on time and aim to leave our customers completely satisfied with what they ordered.

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Ways of thinking in STEM-based problem solving

Lyn d. english.

Queensland University of Technology, Brisbane, Australia

Associated Data

The data sets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

This article proposes an interconnected framework, Ways of thinking in STEM-based Problem Solving , which addresses cognitive processes that facilitate learning, problem solving, and interdisciplinary concept development. The framework comprises critical thinking, incorporating critical mathematical modelling and philosophical inquiry, systems thinking, and design-based thinking, which collectively contribute to adaptive and innovative thinking. It is argued that the pinnacle of this framework is learning innovation, involving the generation of powerful disciplinary knowledge and thinking processes that can be applied to subsequent problem challenges. Consideration is first given to STEM-based problem solving with a focus on mathematics. Mathematical and STEM-based problems are viewed here as goal-directed, multifaceted experiences that (1) demand core, facilitative ways of thinking, (2) require the development of productive and adaptive ways to navigate complexity, (3) enable multiple approaches and practices, (4) recruit interdisciplinary solution processes, and (5) facilitate the growth of learning innovation. The nature, role, and contributions of each way of thinking in STEM-based problem solving and learning are then explored, with their interactions highlighted. Examples from classroom-based research are presented, together with teaching implications.

Introduction

With the prevailing emphasis on integrated STEM education, the power of mathematical problem solving has been downplayed. Over two decades we have witnessed a decline in research on mathematical problem solving and thinking, with more questions than answers emerging (English & Gainsburg, 2016 ; Lester & Cai, 2016 ). This is of major concern, especially since work and non-work life increasingly call for resources beyond “textbook” problem solving (Chin et al., 2019 ; Krause et al., 2021 ). Such changing demands could not have been more starkly exposed than in the recent COVID 19 crisis, where mathematics played a crucial role in public and personal discourse, in describing and modelling current and potential scenarios, and in explaining and justifying societal regulations and restrictions. As Krause et al. ( 2021 ) highlighted, “No mathematical task we can create could be a richer application of mathematics than this real situation” (p. 88).

Modelling and statistical analyses that led the search for strategies to “flatten the curve” with minimal social or economic detriment were prominent in the media (Rhodes & Lancaster, 2020 ; Rhodes et al., 2020 ). As nations strive to rebuild their economies including grappling with crippling energy costs, advanced modelling again plays a key role (Aviso et al., 2022 ; Oxford Economics, 2022 ; Teng et al., 2022 ). Unfortunately, the gap between the mathematical modelling applied during the pandemic and how the public interpreted the models has been “palpable and evident” (Aguilar & Castaneda, 2021 ). Sadly, as Di Martino (Krause et al., 2021 ) pointed out regarding his nation:

People’s reactions in this pandemic underlined the spread of a widely negative attitude toward mathematics among the adult population in Italy. We have witnessed the proliferation of strange, unscientific, and dangerous theories but also the risk of refusing to approach facts that involve math and the resulting dependence to fully rely on others when mathematics is used to justify decisions. Also, on this occasion many people showed their own fear of math and their rejection of mathematical arguments as relevant factors in justification (p. 93).

This heightened visibility of mathematics in society coupled with a general lack of mathematical literacy sparked major questions about the repercussions for education and research (Bakker & Wagner, 2020 ; Kollosche & Meyerhöfer, 2021 ). One such repercussion is the need to reconsider perspectives on STEM-based problem solving and how different ways of thinking can enhance or hinder solutions. With reference to engineering education, Dalal et al. ( 2021 ) indicated how numerous calls for a focus on ways of thinking have largely been taken for granted or at least treated at a superficial level. As these authors pointed out, while perceived as a theoretical concept, ways of thinking “can and should be used in practice as a structure for solution-oriented outlooks and innovation” (p. 109).

Given the above points, I propose an interconnected framework, Ways of thinking in STEM-based Problem Solving (Fig.  1 ), which addresses cognitive processes that facilitate learning, problem solving, decision-making, and interdisciplinary concept development (cf. Slavit et al., 2021 ). The framework comprises critical thinking (including critical mathematical modelling and philosophical inquiry), systems thinking, and design-based thinking. Collectively, these thinking skills contribute to adaptive and innovative thinking (McKenna, 2014 ) and ultimately lead to the development of learning innovation (Sect.  3.4 ; English, 2018 ).

These thinking skills have been chosen because of their potential to enhance STEM-based problem solving and interdisciplinary concept development (English et al., 2020 ; Park et al., 2018 ; Slavit et al., 2021 ). Highlighting these ways of thinking, however, is not denying the importance of other thinking skills such as creativity, which is incorporated within the adaptive and innovative thinking component of the proposed framework (Fig.  1 ), and is considered multidimensional in nature (OECD, 2022 ). Other key skills such as communication and collaboration (Stehle & Peters-Burton, 2019 ) are acknowledged but not explored here.

In line with Dalal et al. ( 2021 ), I consider the proposed ways of thinking as providing an organisational structure both individually and interactively when enacted in practice—notwithstanding the contextual and instructional influences that can have an impact here (Slavit et al., 2022 ). Prior to exploring these ideas, I consider STEM-based problem solving with a focus on mathematics.

STEM-based problem solving: a focus on mathematics

Within our STEM-intensive society, we face significant challenges in promoting STEM education from the earliest grades while also maintaining the integrity of the individual disciplines (Tytler, 2016 ). With the increasing need for STEM skills across multiple workforce domains, contrasted with difficulties in STEM implementation in many schools (e.g., Dong et al., 2020 ), the urgency to advance STEM education has never been greater. With the massive disruption caused by COVID-19, coupled with problematic international relations, our school students’ futures have become even more uncertain—we cannot ignore the rapid changes that will continue to impact their lives. Unlike business and industry, where disruption creates a “force-to-innovate” approach (Crittenden, 2017 , p. 14), much of school education seems oblivious to preparing students for these disruptive forces or at least are restricted in doing so by set curricula.

Preparing our students for an increasingly uncertain and complex future requires rethinking the nature of their learning experiences, in particular, the need for more relevant and innovative problems that are challenging but manageable, and importantly, facilitate adaptive learning and problem solving (McKenna, 2014 ). A failure to provide such opportunities may have detrimental effects on young students’ learning and their future achievements (Engel et al., 2016 ). Despite mathematics being cited as the core of STEM education and foundational to the other disciplines (e.g., Larson, 2017 ; Roberts et al., 2022 ; Shaughnessy, 2013 ), it is frequently ignored in integrated STEM activities (English, 2016 ; Maass et al., 2019 ; Mayes, 2019 ; Shaughnessy, 2013 ). For example, quantitative reasoning, which is critical to integrated STEM problem solving, is frequently “misrepresented, underdeveloped, and ignored in STEM classrooms” (Mayes, 2019, p. 113). Likewise, Tytler ( 2016 ) warned that there needs to be an explicit focus on the mathematical concepts and thinking processes that arise in STEM activities. Without this focus, STEM programs run the risk of reducing the valuable contributions of mathematical thinking. If children fail to see meaningful links between their learning in mathematics and the other STEM domains, they can lose interest not only in mathematics but also in the other disciplines (Kelley & Knowles, 2016 ).

Traditional notions of mathematical problem solving (e.g., Charles, 1985 ) are now quite inadequate when applied to our current world. At a time of increasing creative disruption, it is essential for mathematical problem solvers to be adaptive in dealing with unforeseen local, national, and international problems. Increasingly, STEM-based problems in the real world encompass more than just disciplinary content and practices. While not denying the essential nature of these components, issues pertaining to cultural, social, political, and ethical dimensions (Kollosche & Meyerhöfer, 2021 ; Pheasants, 2020) can also impact the solution process, necessitating the application of appropriate thinking skills. As Pheasants stressed, “If STEM education is to prepare students to grapple with complex problems in the real world, then more attention ought to be given to approaches that are inclusive of the non-STEM dimensions that exist in those problems.”

In light of the above arguments, I view mathematical and STEM-based problems as goal-directed experiences that (1) demand STEM-relevant ways of thinking, (2) require the development of productive and adaptive ways to navigate complexity, (3) enable multiple approaches and practices (Roberts et al., 2022 ), (4) recruit interdisciplinary solution processes, and (5) facilitate growth of learning innovation for all students regardless of their background (English, 2018 ). In contrast to traditional expectations, such problems need to embody affordances that facilitate learning innovation, where all students can move beyond their existing competence in standard problem solving and be challenged to generate new knowledge in solving unanticipated problems. Even students who achieve average results on standardised tests display conceptual understanding and advanced mathematical thinking not normally seen in the classroom—especially when current common practices emphasise number skills at the expense of problem solving and reasoning with numbers (Kazemi, 2020 ).

Limited attention, however, has been paid to how problem experiences can be developed that press beyond basic content knowledge (Anderson, 2014; Li, Schoenfeld et al., 2019), encompass the STEM disciplines, and develop important ways of thinking. In their recent article, Slavit et al. ( 2021 ) argued that STEM education should be “grounded in our knowledge of how students think in STEM-focused learning environments” (p. 1), and that fostering twenty-first-century skills is essential. Yet, as these authors highlighted, there is not much research on STEM ways of thinking, with even fewer theoretical perspectives and frameworks on which to draw. In the next section, I consider these ways of thinking, defined in Table ​ Table1, 1 , and provide examples of their applications to STEM-based problem solving.

Critical thinking

Although long recognised as a significant process in a range of fields, research on critical thinking in education, especially in primary education, has been limited (Aktoprak & Hursen, 2022 ). Critical thinking has long been associated with mathematical reasoning and problem solving, but their association remains under-theorized (Jablonka, 2020 ). Likewise, connections between critical thinking and design thinking have had limited attention largely due to their shared conceptual structures not being articulated (Ericson, 2022 ). As a twenty-first century skill, critical thinking is increasingly recognised as essential in STEM and mathematics education (Kollosche & Meyerhöfer, 2021 ) but is sadly lacking in many school curricula (Braund, 2021 ). As applied to STEM-based problem solving, critical thinking builds on inquiry skills (Nichols et al., 2019 ) and entails evaluating and judging problem situations including statements, claims, and propositions made, analysing arguments, inferring, and reflecting on solution approaches and conclusions drawn. Although critical thinking can contribute significantly to each of the other ways of thinking, its application is often neglected. For example, critical thinking is increasingly needed in design and design thinking, which play a key role in product development, environmental projects, and even in forms of social interaction (as discussed in Sect.  3.3 ; Ericson, 2022 ).

Critical mathematical modelling

One rich source of problem experiences that foster critical thinking is that of modelling. The diverse field of mathematical modelling has long been prominent in the secondary years (e.g., Ärlebäck & Doerr, 2018 ) but remains under-researched in the primary years, especially in relation to its everyday applications. Effective engagement with social, political, and environmental issues through modelling and statistics demands critical thinking, yet such aspects are not often considered in school curricula (Jablonka, 2020 ). This is of particular concern, given the pressing need to tackle such issues in today’s world.

As noted in several publications, the interdisciplinary nature of mathematical modelling makes it ideal for STEM-based problem solving (English, 2016 ; Maass et al., 2019 ; Zawojewski et al., 2008 ). Numerous definitions of models and modelling exist in the literature (e.g., Blum & Leiss, 2007 ; Brady et al., 2015 ). For this article, modelling involves developing conceptual innovations in response to real-world needs; effective modelling requires moving beyond the conventional ways of thinking applied in typical school problems (Lesh et al., 2013 ) to include contextual and critical analysis.

Much has been written about the role of modelling during COVID-19. Mathematical models played a major role in grappling with COVID 19, but their projections were a source of controversy (Rhodes & Lancaster, 2020 ). There seems little appreciation of the critical nature of mathematical models in society (Barbosa, 2006 ) and how assumptions in the modelling process can sway decisions. STEM-based problem solving needs to incorporate not just modelling itself, but also critical mathematical modelling. Critiquing what a model yields, and what is learned, is of increasing social importance (Aguilar & Castaneda, 2021 ; Barbosa, 2006 ). Indeed, as Braund ( 2021 ) illustrated, the Covid-19 pandemic has revealed the urgent need for “critical STEM literacy” (p. 339)—an awareness of the complex and problematic interactions of STEM and politics, and a knowledge and understanding of the underlying STEM concepts and representations is essential:

There are two imperatives that emerge: first, that there is sufficient STEM literacy to negotiate the complex COVID-19 information landscape to enable personal decision taking and second, that this is accompanied by a degree of criticality so that politicians and experts are called to account (Braund, 2021 , p. 339).

Kollosche ( 2021 ) shed further light on the lack of critical thinking in the media’s reporting on COVID, with his argument that “most newspaper reports were effective in creating the problems” because of their focus on ideal forms of mathematical concepts and modelling, without discussing the assumptions and methods behind the reported data. Of concern is that “mass media still fail to present scientific models and results in a way that allows for mathematical reflection and a critical evaluation of such information by citizens.”

Modelling experiences that draw on students’ cultural and community contexts (Anhalt et al., 2018 ; English, 2021a , 2021b ; Turner et al., 2009 ) provide rich opportunities for critical thinking from a citizen’s perspective. Such opportunities can also assist students in appreciating that mathematics is not merely a means of calculating answers but is also a vehicle for social justice, where critical thinking plays a key role (Cirillo et al., 2016 ; Greer et al., 2007 ). In their studies of critical thinking in cultural and community contexts, Turner and her colleagues (Turner et al., 2009 , 2021 , 2022 ) explored culturally responsive, community-based approaches to mathematical modelling with elementary teachers and students. Using a range of authentic modelling contexts, Turner and her colleagues illustrated how students’ modelling processes generated a number of issues that required them to think critically about their lives and their lives within their community. In one activity, students were applying design thinking and processes as they redesigned their local park. They generated, for example, mathematical models to estimate how long children would have to wait to use the swings—this informed their decision that the park did not meet the needs of the community. This community-based modelling highlighted “ongoing negotiation between students’ experiences and intentions related to the community park, the constraints of the actual context, and the mathematical issues that arose” (Turner et al., 2009 , p. 148).

Another example of modelling involving critical thinking in cultural and community contexts was implemented in a sixth-grade Cyprus classroom. Students were required to develop a model for their country to purchase water supplies from a choice of nearby nations (English & Mousoulides, 2011 ). Students were to consider travel distances, water price, available supply per week, oil tanker capacity, costs of water and oil, and quality of the port facilities in the neighbouring countries. The targeted model had to select the best option not only for the present but also for the future. Students’ models ranged from a basic form, where port facilities and water supply were ignored, to more sophisticated models, where all factors were integrated, with carbon emissions also considered. One of the student groups who took into account environmental factors commented, “It would be better for the country to spend a little more money and reduce oil consumption. And there are other environmental issues, like pollution of the Mediterranean Sea.” The more sophisticated models reflected systems thinking (Sect.  3.2 ), where the impact of partial factors such as oil consumption on the whole domain (ocean ecosystems and community) was also considered.

Philosophical Inquiry

One underrepresented means of fostering critical thinking in mathematical and STEM-based problem solving is through philosophical inquiry (Calvert et al., 2017 ; English, 2013 , 2022 ; Kennedy, 2012 ; Mukhopadhyay & Greer, 2007 ). Such inquiry encourages a range of thinking skills in identifying hidden assumptions, determining alternative courses of action, and reflecting on conclusions drawn and claims made. Several studies have shown how engaging children in communities of philosophical inquiry nurtures critical thinking dispositions, which become both a goal and a method (Bezençon, 2020 ; Daniel et al., 2017 ; Lipman, 2003 , 2008 ). At the same time, philosophical inquiry can lead to “conceptual deepening” (Bezençon, 2017), where analysis of mathematical and related STEM concepts as they apply beyond the classroom can be fostered. Given the increased societal awareness of mathematics and STEM in recent years, philosophical inquiry can be a powerful tool in enhancing students’ understanding and appreciation of how these disciplines shape societies. At the same time, philosophical inquiry can stimulate consideration of ethical issues in the applications of these disciplines (Bezençon, 2020 ). For example, Mukhopadhyay and Greer ( 2007 ) indicated how mathematics education should “convey the complexity of mathematical modeling social phenomena and a sense of what demarcates questions that can be answered by empirical evidence from those that depend on value systems and world-views” (p. 186).

A comprehensive review by O’Reilly et al. ( 2022 ) identified pedagogical approaches to scaffolding early critical thinking skills including inquiry-based teaching using classroom dialogue or questioning techniques. Such techniques include philosophical inquiry and encouraging children to construct, share, and justify their ideas regarding a task or investigation. Other opportunities for philosophical inquiry include group problem solving, peer sharing of created models, and facilitating critical and constructive peer feedback. For example, Gallagher and Jones ( 2021 ) reported on integrating mathematical modelling and economics, where beginning teachers were presented with a task involving a problematic community issue following a school shooting. In such cases, numerous courses of action are typically proposed for addressing the problem. Not surprisingly, various community opinions exist on such proposals, giving rise to valuable contexts for philosophical inquiry and critical modelling, where data and their sources are carefully analysed. With the escalation of statistical data from the mass media, it is imperative to commence the foundations of critical and philosophical thinking early. Students’ skills in asking critical questions as they work with data in constructing and improving a model, reflect on what their models convey, consider consequences of their models, and justify and communicate their conclusions require nurturing throughout school (Gibbs & Young Park, 2022 ).

Systems thinking

Systems thinking cuts across the STEM disciplines as well as many other fields outside education. It is considered a key component of “critical thinking and problem solving” in 21st Century Learning (P21, 2015 ) and is often cited as a “habit of mind” in engineering education (e.g., Lippard et al., 2018 ; Lucas et al., 2014 ). Numerous definitions exist for systems thinking (e.g., Bielik et al., 2022 ; Damelin et al., 2017 ; Jacobson & Wilenski, 2022 ), with Bielik et al. ( 2022 ) identifying such thinking as the ability to “consider the system boundaries, the components of the system, the interactions between system components and between different subsystems, and emergent properties and behaviour of the system” (p. 219). In more basic terms, Shin et al. ( 2022 ) refer to systems thinking as “the ability to understand a problem or phenomenon as a system of interacting elements that produces emergent behavior” (p. 936).

Systems thinking interacts with the other thinking forms including those displayed in Fig.  1 , as well as computational thinking (Shin et al., 2022), critical thinking (Curwin et al., 2018 ) and mathematical thinking more broadly (Baioa & Carreira, 2022 ). Systems thinking is considered especially important in conceptualizing a problematic situation within a larger context and in perceiving problems in new and different ways (Stroh, 2018 ). Of special relevance to today’s world is the realisation that perfect solutions do not exist and the choices one makes in applying systems thinking will impact on other parts of the system (Meadows, 2008 ). What is often not considered in today’s complex societies—at least not to the extent required—is that we live in a world of intrinsically linked systems, where disruption in one part will reverberate in others. We see so many instances where particular courses of action are advocated or mandated in societal systems, while the impact on sub-components is perilously ignored. Examples are evident in many nations’ responses to COVID-19, where escalating lockdowns impacted economies and communities, whose demands had to be balanced against purely epidemiological factors. The reverberations of such actions stretch far and wide over long periods. Likewise, the various impacts of current climate actions are frequently ignored, such as how the construction of vast areas of renewable resources (e.g., wind turbines) can have deleterious effects on the surrounding environments including wildlife.

Despite its centrality across the STEM domains, systems thinking is almost absent from mathematics education (Curwin et al., 2018 ). This is despite claims by many researchers that modelling, systems thinking, and associated thinking processes should be significant components of students’ education (Bielik et al., 2022 ; Jacobson & Wilenski, 2022 ). Indeed, systems thinking is featured prominently in the US A Framework for K-12 Science Education (NRC, 2012 ) and the Next Generation Science Standards (NGSS Lead States, 2013 ), and has received considerable attention in science education (e.g., Borge, 2016 ; Hmelo-Silver et al., 2017 ; York et al., 2019 ) and engineering education (e.g., Lippard & Riley, 2018 ; Litzinger, 2016 ).

Given the complexity of systems thinking in today’s world, and the diverse ways in which it is applied, students require opportunities to experience how systems thinking can interact with other forms such as design thinking and critical thinking (Curwin et al., 2018 ; Shin et al., 2022). Such interactions occur in many popular STEM investigations including one in which fifth-grade students designed, constructed, and experimented with a loaded paper plane (paper clips added) in determining how load impacts on the distance travelled (English, 2021b ). Students observed that changing one design feature (e.g., wingspan or load position) unsettles some other features (e.g., fuselage depth decreases wingspan). The investigation yielded an appreciation of the intricacy of interactions among a system’s components, and their scarcely predictable mutual effects.

Other studies have revealed how very young children can engage in basic systems thinking within STEM contexts. For example, Feriver et al. ( 2019 ) administered a story reading session to individual 4- to 6-year-old children in preschools in Turkey and Germany, and then followed this with individual semi-structured interviews about the story. The reading session was based on the story book, “The Water Hole” (Base, 2001 ), which draws on basic concepts of systems within an ecosystem context. Their study found the young children to have some complex understanding of systems thinking in terms of detecting obvious gradual changes and two-step domino and/or multiple one-way causalities, as well as describing the behaviour of a balancing loop (corrective actions that try to reduce the gap between a desired level or goal and the actual lever, such as temperature and plant growth). However, the children understandably experienced difficulties in several areas, in which even adults have problems. For example, detecting a reinforcing loop, identifying unintended consequences, detecting hidden components and processes, adopting a multi-dimensional perspective, and predicting how a system would behave in the future were problematic for them. In another study, Gillmeister ( 2017 ) showed how preschool children have a more complex understanding of systems thinking than previously claimed. Their ability to utilize simple systems thinking tools, such as stock-flow maps, feedback loops and behaviour over time graphs, was evident.

Although the research has not been extensive, current findings indicate how we might capitalise on the seeds of early systems thinking across the STEM fields. With the pervasive nature of systems thinking, it is argued that its connections to other forms of thinking across STEM should be nurtured (cf., Svensson, 2022 ). This includes links to design-based thinking where designed products, for example, operate “within broader systems and systems of systems” (Buchanan, 2019 ).

Design-based thinking and STEM-based problem solving

Design-based thinking plays a major role in complex problem solving, yet its contribution to mathematics learning has been largely ignored, especially at the primary levels. Design is central in technology and engineering practice (English et al., 2020 ; Guzey et al., 2019 ), from bridge construction through to the development of medical tools. Design contributes to all phases of problem solving and drives students toward innovative rather than predetermined outcomes (Goldman & Zielezinski, 2016 ). As applied to STEM education, design thinking is generally viewed as a set of iterative processes of understanding a problem and developing an appropriate solution. It includes problem scoping, idea generation, systems thinking, designing and creating, testing and reflecting, redesigning and recreating, and communicating. Both learning about design and learning through design can help students develop more informed analytical approaches to mathematical and STEM-based problem solving (English et al., 2020 ; Strimel et al., 2018 ).

Learning about design in solving complex problems emphasises design thinking processes per se, that is, students learn about design itself. Design thinking as a means for learning about design is not as prevalent in integrated STEM education. Although learning through and about design should not be divorced during problem solving (van Breukelen et al., 2017 ), one learning goal can take precedence over the other. Both require greater attention, especially in today’s design-focused world (Tornroth & Wikberg Nilsson, 2022 ).

A plurality of solutions of varying levels of sophistication is possible in applying design thinking processes, so students from different achievement levels can devise solutions (Goldman & Kabayadondo, 2017 )—and research suggests that lower-achieving students benefit most (Chin et al., 2019 ). The question of how best to develop design learning across grades K-12, however, has not received adequate attention. This is perhaps not surprising given that comparatively few studies have investigated the design thinking of grades 6–12 and even fewer across the elementary years (Kelley & Sung, 2017 ; Strimel et al., 2018 ).

Also overlooked is how design-based thinking can foster concept development, that is, how it can foster “learning while designing”, or generative learning (English et al., 2020 ). Design-based thinking provides natural opportunities to develop understanding of the required STEM concepts (Hjalmarson et al., 2020 ). As these authors pointed out, when students create designs, they represent models of their thinking. When students have to express their conceptual understanding in the form of design, such as an engineering designed product, their knowledge (e.g., of different material properties) is tested. Studies have revealed such learning occurs when elementary and middle school students design and construct various physical artifacts. For example, in a fifth-grade study involving designing and building an optical instrument that enabled one to see around corners, King and English ( 2017 ) observed how students applied and enriched their understanding of scientific concepts of light and how it travels through a system, together with their mathematical knowledge of geometric properties, angles and measurement.

In a study in the secondary grades (Langman et al. ( 2019 ), student groups completed modules that included a model-eliciting activity (Lesh & Zawojewski, 2007 ) involving iterative design thinking processes. Students were to interpret, assess, and compare images of blood vessel networks grown in scaffolds, develop a procedure or tool for measuring (or scoring) this vessel growth, and demonstrate how to apply their procedure to the images, as well as to any image of a blood vessel network. The results showed how students designed a range of mathematical models of varying levels of sophistication to evaluate the quality of blood vessel networks and developed a knowledge of angiogenesis in doing so.

In another study implemented in a 6th-grade classroom, students were involved in both learning about and learning through design in creating a new sustainable town with the goal of at least 50% renewable energy sources. The students were also engaged in systems thinking, as well as critical thinking, as they planned, developed, and critically analysed the layout and interactions of different components of their town system (e.g., where to place renewable energy sources to minimise impact on the residences and recreational areas; where to situate essential services to reach different town components). Students also had to consider the budgetary constraints in their town designs. Their learning about design was apparent in their iterative processes of problem scoping, idea generation and modification, balancing of benefits and trade-offs (dealing with system subcomponents), critical reflections on their designs, and improvements of the overall town design. Learning though design was evident as students displayed content knowledge pertaining to renewable energy and community needs, applied spatial reasoning in positioning town features, and considered budgetary constraints in reaching their “best” design.

Engineering design processes form a significant component of design thinking and learning, with foundational links across the STEM disciplines including mathematical modelling. Engineering design-based problems help students appreciate how they can apply different ideas and approaches from the STEM disciplines, with more than one outcome possible (Guzey et al., 2019 ). Such design thinking engages students in interpreting problems, developing initial design ideas, selecting and testing a promising design, analysing results from their prototype solution, and revising to improve outcomes.

It is of concern that limited attention has been devoted to engineering design-based thinking in mathematics and the other STEM disciplines in the primary grades. This is despite research indicating how very young children can engage in design-based thinking when provided with appropriate opportunities (e.g., Cunningham, 2018 ; Elkin et al., 2018 ). Elkin et al., for example, used robotics in early childhood classrooms to introduce foundational engineering design thinking processes. Their study illustrated how these young learners used engineering design journals and engaged in design thinking as they engineered creative solutions to challenging problems presented to them. It seems somewhat paradoxical that foundational engineering design thinking is a natural part of young children’s inquiry about their world, yet this important component has been largely ignored in these informative years.

In sum, design-based thinking is a powerful and integrative tool for mathematical and STEM-based problem solving and requires greater focus in school curricula. Both learning about and through design have the potential to improve learning and problem solving well beyond the school years (Chin et al., 2019 ). At the same time, design-based thinking, together with the other ways of thinking, can contribute significantly to learning innovation (English, 2018 ).

Adaptive and innovative thinking for learning innovation

Disruption is rapidly becoming the norm in almost all spheres of life. The recent national and international upheavals have further stimulated disruptive thinking (or disruptive innovation), where perspectives on commonly accepted (and often inefficient) solutions to problems are rejected for more innovative approaches and products. Given the pressing need for problem solvers capable of developing new and adaptable knowledge, rather than applying limited simplistic procedures or strategies, we need to foster what I term, learning innovation (English, 2018 ; Fig.  2 ). Such learning builds on core content to generate more powerful disciplinary knowledge and thinking processes that can, in turn, be adapted and applied to solving subsequent challenging problems.

Learning innovation

Figure  2 (adapted from McKenna, 2014 ) illustrates how learning innovation can be fostered through the growth of mathematical and STEM knowledge, together with STEM ways of thinking. The optimal adaptability corridor represents the growth of mathematical and STEM-based problem solving from novice to adaptable solver . Adaptable problem solvers (Hatano & Oura, 2003 ) have developed the flexibility, curiosity, and creativity to tackle novel problems—skills that are needed in jobs of the future (Denning & Noray, 2020 ; OECD, 2019 ). Without the disciplinary knowledge, ways of thinking, and engagement in challenging but approachable problems, a student risks remaining merely a routine problem solver—one who is skilled solely in applying previously taught procedures to solve sets of familiar well-worn problems, as typically encountered at school. Learning innovation remains a challenging and unresolved issue across curriculum domains and is proposed as central to dealing effectively with disruption.

Particularly rich experiences for developing learning innovation involve interdisciplinary modelling, incorporating critical mathematical modelling (e.g., Hallström and Schönborn, 2019 ; Lesh et al., 2013 ). As noted, a key feature of model-eliciting experiences is the affordances they provide all students to exhibit “extraordinary abilities to remember and transfer their tools to new situations” (Lesh et al., 2013 , p. 54). Modelling enables students to apply more sophisticated STEM concepts and generate solutions that extend beyond their usual classroom problems. Such experiences require different ways of thinking in problem solving as they deal with, for example, conflicting constraints and trade-offs, alternative paths to follow, and various tools and representations to utilise. In essence, interdisciplinary modelling may be regarded as a way of creating STEM concepts, with modeling and concept development being highly interdependent and mutually supportive (cf., Lesh & Caylor, 2007 ).

Concluding points

The ill-defined problems of today, coupled with unexpected disruptions across all walks of life, demand advanced problem-solving by all citizens. The need to update outmoded forms of problem solving, which fail to take into account increasing global challenges, has never been greater (Cowin, 2021 ). The ways-of-thinking framework has been proposed as a powerful means of enhancing problem-solving skills for dealing with today’s unprecedented game-changers. Specifically, critical thinking (including critical mathematical modelling and philosophical inquiry), systems thinking, and design-based thinking are advanced as collectively contributing to the adaptive and innovative skills required for problem success. It is argued that the pinnacle of this framework is learning innovation, which can be within reach of all students. Fostering students’ agency for developing learning innovation is paramount if they are to take some control of their own problem solving and learning (English, 2018 ; Gadanidis et al., 2016 ; Roberts et al., 2022 ).

Establishing a culture of empowerment and equity, with an asset-based approach, where the strengths of all students are recognised, can empower students as learners and achievers in an increasingly uncertain world (Celedón-Pattichis et al., 2018 ). Teacher actions that encourage students to express their ideas, together with a program of future-oriented mathematical and STEM-based problems, can nurture students’ problem-solving confidence and dispositions (Goldman & Zielezinski, 2016 ; Roberts et al., 2022 ). In particular, mathematical and STEM-based modelling has been advocated as a rich means of developing multiple ways of thinking that foster adaptive and innovative learners—learners with a propensity for developing new knowledge and skills, together with a willingness to tackle ill-defined problems of today and the future. Such propensity for dealing effectively with STEM-based problem solving is imperative, beginning in the earliest grades. The skills gained can thus be readily transferred across disciplines, and subsequently across career opportunities.

Acknowledgements

Sentiments expressed in this article have arisen from recent Australian Research Council grants # DP 220100303 and DP 150100120. Views expressed in this article are those of the author and not the Council.

Open Access funding enabled and organized by CAUL and its Member Institutions.

Data availability

Declarations.

There are no financial or non-financial interests that are directly or indirectly related to this submission.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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