Common misconceptions

Common mistake
Wrong: Heuristics are simply slower, more careful algorithms.
Right: Heuristics are mental shortcuts that are fast but not guaranteed to produce a correct solution, whereas algorithms are systematic procedures that guarantee a correct answer if followed properly.
Heuristics and algorithms differ in kind, not just speed. An algorithm is a step-by-step procedure that, if followed correctly, guarantees the right answer — think of working through every possible combination in a password. A heuristic is a mental shortcut that gets you to a good answer quickly most of the time, but it can fail — think of assuming the most familiar-looking answer on a test is correct. The tradeoff is efficiency versus certainty, not slowness versus carefulness.
Common mistake
Wrong: Functional fixedness and mental set are the same barrier to problem solving.
Right: Functional fixedness is the inability to see an object used in a novel way, while mental set is the tendency to apply a previously successful strategy even when it is no longer optimal.
These are two different types of cognitive rigidity operating at different levels. Functional fixedness is object-level: you can only imagine an object serving its conventional purpose, so you don't think to use a coin as a screwdriver. Mental set is strategy-level: you keep applying a solution method that worked before even when the current problem calls for something different. A passage might describe someone who has the right tool but can't think to use it differently (functional fixedness) versus someone who has the right approach in mind but keeps trying a strategy that no longer fits (mental set).
Common mistake
Wrong: Insight problem solving involves gradual, incremental progress toward a solution.
Right: Insight is characterized by a sudden 'aha' moment where the solution appears abruptly after a period of impasse, not through incremental steps.
Insight is specifically defined by its suddenness — that's what makes it distinct from algorithmic or heuristic problem solving. The pattern is: person reaches an impasse (no incremental progress), then there is a rapid restructuring of how the problem is mentally represented, and the solution appears abruptly. This 'aha' moment is not just the final step of a gradual process; the solver often cannot describe intermediate steps because there weren't meaningful ones. If a passage shows steady incremental progress, that's a different strategy.
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What the exam tests

  1. Classify a described problem-solving approach as an algorithm, heuristic, trial-and-error, or insight — and know the key feature that distinguishes each (especially whether it guarantees a correct answer).
  2. Explain the mechanism behind mental set, functional fixedness, and means-end analysis — including whether each acts as a barrier, a strategy, or can be both depending on context.
  3. Read a passage describing a problem-solving experiment or real-world scenario and correctly identify which strategy or barrier is being demonstrated, using textual evidence rather than just intuition.

Can you avoid these mistakes?

A student trying to solve a logic puzzle tries every possible combination of variables in a fixed order until finding the one that works. What problem-solving strategy is this, and what is its key defining feature?
A researcher gives participants a box of thumbtacks, a candle, and matches, and asks them to attach the candle to the wall. Many participants fail because they don't think to empty the box and use it as a shelf. What barrier is this, and how is it different from mental set?
A chess player keeps using an aggressive opening strategy that worked well against beginners, but keeps losing to intermediate players who easily counter it. They don't adjust their approach. What barrier is operating, and what would distinguish this from functional fixedness?
A passage describes a participant staring at an unsolved anagram for several minutes with no progress, then suddenly announcing the solution without being able to explain the steps they took. What problem-solving process does this illustrate, and what feature of the description is the key giveaway?

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