Problem solving involves cognitive processing to achieve a goal when there's no obvious solution.
Transfer refers to how past learning impacts current tasks.
Expertise involves efficient problem-solving in a specialized area, differing from general problem-solving with its focus on knowledge and individual differences.
All involve generating options and applying knowledge, but have evolved into separate research areas.
Problem Solving
Problem solving is purposeful, controlled, and requires knowledge.
Well-defined problems have clear initial states, moves, and goals, whereas ill-defined problems are underspecified.
Psychologists focus on well-defined problems due to their optimal strategies and known answers.
Knowledge-rich problems require specific knowledge, unlike knowledge-lean problems.
Monty Hall Problem: Illustrates problem-solving fallibility due to heuristics, limited processing, and misrepresentation of causal structures.
Gestalt Approach
Gestaltists emphasize productive thinking (novel restructuring) over reproductive thinking (re-use of past experiences).
Insight involves sudden problem restructuring with an "ah-ha" experience.
Insight may be a slower learning process rather than a sudden flash. Facilitation through cues can aid problem-solving.
Insight existence is supported by introspective, behavioral, and neuroimaging evidence.
Brain Activity in Insight:
Right hemisphere's anterior superior temporal gyrus is activated.
High-frequency brain activity occurs one-third of a second before insightful solutions.
The anterior cingulate cortex is activated during cognitive conflict.
Functional Fixedness: Past experience can hinder problem-solving by limiting the perceived uses of objects.
Einstellung (Mental Set): Tendency to use well-practiced strategies even when suboptimal.
Representational Change Theory
Impasse broken by changing problem representation through elaboration, constraint relaxation, or re-encoding.
Constraint relaxation is key to insight, as shown by the mutilated draughtboard problem.
VI = VII + I becomes VII = VI + I
IV = III − I becomes IV − III = I
Constraint reduction is vital in solving insight problems.
Incubation
Problems are solved more easily by ignoring them for some time.
Subconscious mind continues to work toward solution.
Effective with creative problems having multiple solutions.
Forgetting misleading information aids in adopting new approaches.
General Problem Solver
Computer simulations of human problem solving.
Relies on serial processing, limited short-term memory, and long-term memory retrieval.
Problem Space: Initial state, goal state, mental operators, and intermediate states.
Reliance on heuristics (rules of thumb) instead of algorithms (complex methods).
Means-ends analysis: Reducing difference between current and goal states.
Hill climbing: Changing problem state closer to goal.
Progress monitoring leads to changing strategies if progress is slow.