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Thinking, Problem-Solving
and Decision-Making

Explore how the mind forms concepts, solves problems, and makes judgments using heuristics, algorithms, and cognitive biases.

AP Psychology

What Is Thinking?

In cognitive psychology, thinking (or cognition) refers to all the mental activities associated with processing, understanding, and communicating information. It includes forming concepts, solving problems, making decisions, and using language.

Concepts
Mental groupings of similar objects, events, or ideas
Prototypes
The best example of a category used for quick classification

Concepts and Prototypes

BIRD (Concept) Robin Prototype Sparrow Eagle Penguin Ostrich Typical Typical Atypical Atypical

Problem-Solving Strategies

When faced with a problem, the mind can use two broad approaches: algorithms and heuristics. Each has trade-offs between accuracy and speed.

Algorithm
A step-by-step procedure that guarantees a solution. Slow but certain: like trying every combination on a lock.
Heuristic
A mental shortcut that usually works. Fast but fallible: like starting with common combinations first.

Key Heuristics in Decision-Making

Availability
Judging likelihood based on how easily examples come to mind. Plane crashes feel common because they're memorable.
Representativeness
Judging category membership by how closely something matches a prototype: ignoring base-rate statistics.
Anchoring
Relying too heavily on the first piece of information offered (the "anchor") when making estimates.

Algorithm vs Heuristic Flowchart

PROBLEM Choose Strategy Algorithm Step-by-step Try ALL options GUARANTEED Solution Heuristic Mental shortcut Use "rule of thumb" FAST but Error-prone Systematic Intuitive

Insight vs Trial-and-Error

Insight
A sudden "aha!" moment where the solution appears all at once, without a step-by-step process. Kohler's apes stacking boxes to reach bananas demonstrated this.
Trial-and-Error
Trying various solutions until one works. Thorndike's cats in puzzle boxes used this approach, gradually learning which lever to press.

Obstacles to Problem-Solving

1
Fixation: An inability to see a problem from a new perspective. Includes both mental set and functional fixedness.
2
Mental Set: The tendency to approach a problem using strategies that worked in the past, even when they no longer apply.
3
Functional Fixedness: The tendency to think of objects only in terms of their typical function. Example: not using a coin as a screwdriver.
4
Confirmation Bias: Searching for information that confirms our existing beliefs while ignoring contradictory evidence.

The Bias Landscape

Cognitive Biases Over- confidence Framing Effect Belief Perseverance Confirmation Bias Hindsight Bias

The Framing Effect

The way information is presented dramatically influences our choices, even when the underlying facts are identical. Tversky and Kahneman demonstrated this with the famous "Asian Disease Problem."

Gain Frame
"200 people will be saved." Most choose this option: people are risk-averse when outcomes are framed as gains.
Loss Frame
"400 people will die." People gamble on the risky option: we become risk-seeking when outcomes are framed as losses.

How to Apply Problem-Solving Steps

1
Identify the problem: Clearly define what needs to be solved. Avoid jumping to solutions prematurely.
2
Choose a strategy: Decide whether an algorithm (systematic) or heuristic (shortcut) is more appropriate.
3
Watch for obstacles: Check for fixation, mental set, and functional fixedness that may block creative solutions.
4
Evaluate biases: Ask whether confirmation bias, overconfidence, or the framing effect might be distorting your judgment.
5
Reflect on the outcome: Did the solution work? Could hindsight bias be making the answer feel "obvious" now?

Example: Availability Heuristic

Scenario: After watching news coverage of a shark attack, Maria refuses to swim in the ocean, even though the statistical risk of a shark attack is approximately 1 in 11.5 million.

Why it happens
Dramatic, recent, or emotional events are easier to retrieve from memory, inflating their perceived frequency.
Real-world impact
People overestimate risks of plane crashes, terrorism, and rare diseases while underestimating common dangers like heart disease.

Example: Representativeness Heuristic

Scenario: "Steve is very shy, withdrawn, helpful, but with little interest in people. He has a passion for detail and order." Is Steve more likely a librarian or a farmer?

Farmers: ~3 million Librarians: ~170K U.S. Labor Statistics (approximate)

Example: Anchoring and Overconfidence

Scenario: In a study, participants spun a rigged wheel that landed on either 10 or 65. They were then asked: "What percentage of African nations are in the United Nations?"

Anchoring Effect
Those who spun 10 guessed around 25%. Those who spun 65 guessed around 45%. The random number served as an "anchor" that pulled estimates toward it.
Overconfidence
Both groups were highly confident in their answers, even though neither knew the actual figure. We tend to overestimate the accuracy of our own judgments.

Common Mistakes on the AP Exam

✕ Confusing Heuristics
Mixing up availability (ease of recall) with representativeness (matching a prototype). Tip: availability = frequency; representativeness = resemblance.
✕ Fixation Types Swapped
Confusing mental set (using old strategies) with functional fixedness (seeing objects only in typical use). Both are fixation, but the mechanisms differ.
✕ Ignoring Base Rates
Forgetting that the representativeness heuristic leads us to ignore base-rate information: the actual statistical frequency of a category in the population.

Summary Comparison

Concept Definition Key Example
Algorithm Step-by-step guaranteed procedure Trying every lock combination
Heuristic Fast mental shortcut, error-prone Guessing common combos first
Availability Judging by ease of recall Fearing sharks after news report
Representativeness Judging by prototype match Steve the "librarian"
Anchoring Over-relying on initial info Rigged wheel study
Confirmation Bias Seeking confirming evidence Only reading agreeable sources
Functional Fixedness Seeing only typical object use Not using a coin as a screwdriver

Question 1 of 5

After seeing several news stories about home burglaries, Tyrone begins to believe that burglary is much more common than it actually is. This best illustrates the:

Question 2 of 5

A person cannot figure out how to use a butter knife to tighten a loose screw. This is an example of:

Question 3 of 5

A car dealer first shows you a car priced at $40,000 before showing you the one you want at $28,000, making it seem like a great deal. The dealer is exploiting the:

Question 4 of 5

Which of the following best distinguishes an algorithm from a heuristic?

Question 5 of 5

The disagreement between the researchers is primarily about whether: