Unit 2 Topic 2.2

Thinking, Problem-Solving, Judgments, and Decision-Making

every concept, applied

3 min readfreeNot practiced

Every day you make thousands of judgments without stopping to think: is that a bird, is this street safe, should I keep watching this movie? Your mind handles them with categories and shortcuts. Most of the time they work. The exam asks you to spot the times they do not.

Concepts, prototypes and schemas

A concept is a mental category: "bird", "fruit", "teacher". You do not check a list of rules to decide if something fits. You compare it with a prototype, the most typical example. A robin is close to the bird prototype, so you recognize it instantly; a penguin is far from it, so you hesitate.

Concepts are organized into schemas (from the perception topic). New information meets an existing schema in two ways:

  • Assimilation: you fit it into the schema you already have. A toddler who knows "dog" calls a cow a dog.
  • Accommodation: you change the schema, or build a new one, because the new thing does not fit. The toddler learns that cows are a different animal.

Solving problems: algorithms and heuristics

A problem branches into two strategies. Left: an algorithm, a step-by-step procedure that is slow and effortful but guarantees a solution if followed, for example trying every four-digit code from 0000 to 9999 on a lock. Right: a heuristic, a mental shortcut that is fast and easy and usually works but can mislead, for example trying the owner's birthday as the code first. A note under the heuristic defines the representativeness heuristic (judging by how well something matches a prototype) and the availability heuristic (judging by how easily examples come to mind). A note under the algorithm says both can be blocked by mental set (sticking with a method that worked before) and functional fixedness (seeing an object only in its usual use).
Figure 1. Algorithms are slow and sure; heuristics are fast and fallible. LevlPrep original diagram.

An algorithm is a step-by-step procedure that guarantees a solution if you follow it, like trying every combination on a lock. A heuristic is a mental shortcut, like trying the owner's birthday first. Heuristics save time, which is why we use them, but they can mislead.

Two blocks to problem-solving come up often:

  • Mental set: sticking with an approach that worked before, even when it does not fit this problem.
  • Functional fixedness: seeing an object only in its usual use. Given a box of tacks, people are slow to use the box itself as a shelf, especially when the tacks are inside it.

Biases in judgment

ConceptWhat happensExample
Representativeness heuristicjudging by how well something matches a prototype, ignoring how common it isguessing that a quiet poetry lover is a professor, not one of the far more numerous truck drivers
Availability heuristicjudging how common or likely something is by how easily examples come to mindfearing flying after crash news, though driving is riskier per mile
Framing effectthe wording of a choice changes the decision"90% survive" sounds better than "10% die"
Gambler's fallacybelieving past random outcomes change the next onebetting black because red came up seven times
Sunk-cost fallacycontinuing because of what you already investedsitting through a bad movie because the ticket is paid for
Primingan earlier exposure makes related ideas come to mind fasterreading "ocean" makes "wave" quicker to recognize

A note on priming and evidence: priming of words and ideas, as in the ocean and wave example, is one of the most reliable findings in the field. Some famous claims that a brief prime changes complex behavior (for example, that reading words about old age makes people walk more slowly) did not hold up when other labs tried to repeat them. Treat priming as a change in what comes to mind, not as a hidden switch for behavior.

Worked example: naming the bias. "A store marks a jacket 'was 200,now200, now120' and sells more than when the same jacket was simply priced at 120."</p><p>Step1:whatisthesameinbothcases?Thejacketandthepricepaid.</p><p>Step2:whatchanged?Onlyhowthepricewaspresented,120."</p> <p>Step 1: what is the same in both cases? The jacket and the price paid.</p> <p>Step 2: what changed? Only how the price was presented,asaas a80 saving. A change in choice caused by presentation alone is the framing effect.

Step 3: rule out the near misses. Availability would need examples coming to mind; sunk cost would need money already spent; representativeness would need a match to a prototype. None fits.

Executive functions and creativity

Executive functions are the mind's managers: planning, holding a goal in mind, switching between tasks and stopping an impulse. They depend heavily on the prefrontal cortex, so damage there can leave knowledge intact while making everyday planning very hard.

Creativity is producing ideas that are new and useful. It uses two kinds of thinking. Divergent thinking spreads out: list every use for a brick. Convergent thinking narrows down to the best answer, which is what most tests ask for. Good problem-solvers do both, first widening the options and then choosing.

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