📘 CodingMarble Learn

Thinking, Problem Solving and Reasoning

Thinking means working on information in the mind to reach a goal. Its building blocks are mental images and concepts. We use thinking to solve problems (step by step, watching out for mental set and functional fixedness), to reason (deductive: rule to case; inductive: cases to rule) and to make judgements and decisions.

🎬 Step-by-step story

  1. Thinking uses two building blocks. A mental image is a picture in the mind. A concept is a group of things that share features, like fruit.
  2. Thinking is a process. We take in information, work on it inside the mind, and reach an answer or an action.
  3. Problem solving goes in steps: identify, understand, plan, act, check. Mental set and functional fixedness can block us.
  4. Reasoning has two main kinds. Deductive goes from a general rule to one case. Inductive goes from many cases to a general rule.
  5. Decision making means weighing the good and bad points of each choice and then picking one.
  6. Your turn: tap any part of thinking and watch it again in 3D.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Is a concept just a word?

No. A word is a label. The concept is the mental category behind it. A small child can have the concept "dog" before learning the word.

Is day-dreaming thinking?

It is mental activity, but it has no goal. Psychology mainly studies directed thinking that moves from information to an answer.

What is the difference between mental set and functional fixedness?

Mental set is about a method (using the same old way). Functional fixedness is about an object (seeing only its usual use). Both are walls on the stairs.

If inductive reasoning can be wrong, why use it?

Because most new knowledge starts from observations. Induction gives a likely rule; we then test it.

Are our decisions always logical?

No. Emotions, shortcuts and past experience affect how we weigh options, so the scale is not always balanced fairly.

What is thinking? Its building blocks

Thinking is working on information inside the mind. It is internal: nobody can see it directly. It is also goal-directed: we think to reach an answer.

Mental images

A mental image is a picture of something in the mind. You can "see" your school gate with your eyes closed. Images help us plan routes, arrange rooms and remember faces.

Concepts

A concept is a mental group of objects, ideas or events that share common features. "Fruit", "triangle" and "friend" are concepts. Concepts save effort: once you know something is a fruit, you already know it can be eaten.

The thinking process

Thinking works like a small factory:

  1. Input: we notice information (sights, words, memories).
  2. Work: the mind compares, joins, separates and changes the information using images, concepts and language.
  3. Output: we reach an answer, a plan or an action.

Thinking is organised and directed. Day-dreaming is also mental activity, but it has no goal, so psychologists treat directed thinking as the main subject of study.

Problem solving

A problem is a gap between where you are and where you want to be. Problem solving is thinking aimed at closing that gap.

Steps

  1. Identify the problem.
  2. Understand and represent it (draw it, list facts).
  3. Plan: think of possible solutions and choose one.
  4. Act on the plan.
  5. Check the result; if it fails, go back.

Obstacles

Ways around them: take a break, look at the problem from a new angle, ask "what else could this object do?"

Reasoning

Reasoning means reaching conclusions from facts or ideas.

Deductive reasoning

From a general rule to a particular case. All plants need light. Tulsi is a plant. So tulsi needs light. If the rule is true, the conclusion is certain. A common error is assuming a rule that is not true.

Inductive reasoning

From many particular cases to a general rule. My three friends who practise daily improved; so daily practice improves skill. The conclusion is only likely, not certain. Science uses induction to form hypotheses.

Analogy

Reasoning by similarity: "the heart is like a pump". Useful, but analogies can mislead if the two things differ in important ways.

Judgement and decision making

Judgement is forming an opinion or estimating something from the information we have ("this shop is probably costly"). Decision making is choosing one option from two or more.

Good decisions weigh the value of each outcome and its chance of happening. People often use shortcuts (rules of thumb), past experience, and are affected by emotion, so decisions are not always fully logical.

A simple method: list options → list pros and cons → give each a weight → choose the highest → act and review.

Key formulas and definitions

Worked examples

1. Riya groups "sparrow, crow, parrot" together but hesitates about "penguin". Which building block and which idea explains this?

She is using the concept "bird". She compares each animal with a prototype (a typical bird that flies). A penguin is far from the prototype, so she hesitates.

2. A student needs to hang a picture but has no hammer. He never thinks of using the heavy steel tiffin box. Name the obstacle.

Functional fixedness: he sees the tiffin box only as a food container, not as something heavy that can knock a nail.

3. "All prime numbers greater than 2 are odd. 17 is a prime greater than 2. So 17 is odd." What kind of reasoning is this?

Deductive reasoning: a general rule is applied to one particular case, so the conclusion is certain.

4. Arun notices that on the 5 days he slept before 11 pm, he felt fresh in class. He concludes that early sleep makes him fresh. What kind of reasoning? Is the conclusion certain?

Inductive reasoning from particular cases to a general rule. It is likely but not certain; other causes (breakfast, weather) may matter.

5. Meena must choose between a nearby coaching class (₹2,000, weak teachers) and a far one (₹3,000, strong teachers, 1 hour travel). Show a decision-making method.

List options. Score each factor from 1 to 5: cost (near 5, far 3), teaching (near 2, far 5), time (near 5, far 2). Totals: near 12, far 10. If teaching matters most, give it double weight: near 14, far 15. The weights change the decision, so she must first decide what matters most.

Common mistakes

Practice quiz

1. The two building blocks of thought are:
2. Going from a general rule to a particular case is:
3. Using the same old method though a new one is needed is called:
4. Which conclusion is only probable, never certain?
5. Choosing one option among several is:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What are the building blocks of thought?

Mental images (pictures in the mind) and concepts (categories of things with shared features).

What is the difference between deductive and inductive reasoning?

Deductive goes from a general rule to a particular case; inductive goes from particular cases to a general rule.

What are the main obstacles to problem solving?

Mental set, functional fixedness and lack of motivation or persistence.

Where this is taught

RomaniaClasa a X-aMental processes and personality development
CBSE (India)Class 11Thinking
USA (Common Core, NGSS, AP)Grade 11Cognition
South Korea고등학교 3학년Knowing myself

Learn next

Related lessons

All Psychology lessons