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Problem
An obstacle between a current state and a goal where the solution is not obvious
Problem solving
Process of determining steps needed to reach a goal
Problem space
All possible states that can be reached when solving a problem
Search approach
Solving problems by exploring possible paths in the problem space
Heuristics (problem solving)
Strategies that simplify problem solving by reducing search space
Hill-climbing strategy
Choosing the option that moves closest to the goal at each step
Limitation of hill-climbing
May require moving away from goal to reach solution
Means-end analysis
Comparing current state to goal and finding steps to reduce differences
Operators
Actions that move problem from one state to another
Importance of representation
How a problem is presented affects difficulty and solution
Mutilated checkerboard problem
Illustrates importance of how problem is framed
Analogical problem solving
Using solution to a similar problem to solve a new one
Analogical transfer
Applying knowledge from a source problem to a target problem
Source problem
A previously solved problem used for guidance
Target problem
The current problem being solved
Duncker’s radiation problem
Classic problem showing difficulty of spontaneous analogy use
Fortress story
Analog used to help solve radiation problem
Noticing analogy
Recognizing similarity between problems (most difficult step)
Mapping
Aligning elements between source and target problems
Structural features
Underlying principles of a problem
Surface features
Specific details of a problem
Analogical encoding
Comparing problems to highlight structural similarities
Expert
Highly skilled individual with extensive domain knowledge
Expert vs novice
Experts focus on structure; novices focus on surface features
Chunking
Grouping information into meaningful units (used by experts)
Well-defined problem
Problem with clear goals and solution steps
Ill-defined problem
Problem with unclear goals or methods
Functional fixedness
Inability to see new uses for familiar objects
Problem-solving set
Tendency to use familiar strategies even when ineffective
Einstellung effect
Rigidity in problem solving due to prior experience
Thinking outside the box
Overcoming implicit constraints in problem solving
Creative problem solving
Generating novel and useful solutions
Divergent thinking
Generating many possible solutions
Convergent thinking
Finding a single best solution
Creativity
Ability to produce novel and valuable ideas
Wallas stages of creativity
Preparation, incubation, illumination, verification
Illumination (“aha” moment)
Sudden insight into a solution
Incubation
Stepping away from a problem to allow new ideas to form
Spreading activation
Ideas activate related concepts in memory
Remote Associates Test
Measures convergent thinking ability
Forward flow
Extent to which thinking moves in new directions