Occurs when there is an obstacle between a present state and a goal and it is not immediately obvious how to get around the obstacle
Types of problems
Well-defined problems
Ill-defined problems or Ill-structured problems
Well-defined problems
Usually have a correct answer; certain procedures, when applied correctly, will lead to a solution
Ill-defined problems or Ill-structured problemsDo not necessarily have one "correct" answer, and the path to their solution is often unclear
Restructuring
The process of changing the problem's representation
Insight
Distinctive and sometimes seemingly sudden understanding of a problem or of a strategy that aids in solving the problem
Productive (insightful) thinking involves insights and creativity
Reproductive thinking is based on existing associations involving what is already known
When given routineproblems, problem solvers show remarkable accuracy in their ability to predict their own success in solving a problem prior to any attempt to solve it
When given insight problems, problem solvers show poor ability to predict their own success before trying to solve the problems
Fixation
People's tendency to focus on a specific characteristic of the problem that keeps them from arriving at a solution
Functional fixedness
Restricting the use of an object to its familiar functions
Mental set
A frame of mind involving an existing model for representing a problem, a problem context, or a procedure for problem solving
Stereotypes
Beliefs that members of a social group tend more or less uniformly to have particular types of characteristics
Stereotypethreat
Being aware of stereotypes about their group can also limit people's performance when they expect to be evaluated
Negative transfer
Occurs when solving an earlier problem makes it harder to solve a later one
Positive transfer
Occurs when the solution of an earlier problem makes it easier to solve a new problem
Analogical problem solving
When people think back to other problems they have encountered and solved, they may ask themselves whether the new problem is somehow similar to other ones they previously solved
Transparency
The opposite phenomenon in which people see analogies where they do not exist because of similarity of content
Incubation
Putting the problem aside for a while without consciously thinking about it
Newell and Simon's approach
Saw problems in terms of an initial state—conditions at the beginning of the problem—and a goal state—the solution of the problem
The Tower of Hanoi problem is an example of Newell and Simon's approach
Information-Processing Approach
Describes problem solving as a process that involves search
Newell and Simon's Approach
Problems are seen in terms of an initial state and a goal state
Operators are actions that take the problem from one state to another
Problem space
The initial state, goal state, and all the possible intermediate states for a particular problem
Means-end analysis
A strategy to direct the search of the problem space by creating subgoals - intermediate states that are closer to the goal
The acrobat problem can be solved in 5 moves, but the reverse acrobat problem (where a smaller acrobat cannot stand on a larger one) takes much longer to solve
Mutilated Checkerboard Problem
A checkerboard can be completely covered by 32 dominos, but if two corners are removed it cannot be covered
Think-aloud protocol
Participants are asked to verbalize their thoughts while solving a problem, to determine what information they are attending to
The Russian Marriage Problem is related to the mutilated checkerboard problem, as noticing the connection between the couples and the alternating squares can help solve the checkerboard problem
The problem-solving cycle
Problem identification
Problem definition and representation
Strategy formulation
Organization of information
Resource allocation
Monitoring
Evaluation
Divergent thinking
Trying to generate a diverse assortment of possible alternative solutions to a problem
Convergent thinking
Narrowing down multiple possibilities to converge on a single best answer
Creativity
The process of innovative thinking, generating new ideas or creating connections between existing ideas to formulate new ideas or thoughts
Creativity is frequently connected with divergent thinking, which is open-ended and involves many possible solutions, in contrast to convergent thinking which has a specific solution
Fixation, where people focus on a particular characteristic of a problem that hinders them from finding a solution, can impede creativity
Design fixation
Analogous to the Gestalt psychologists' demonstrations of how fixation can inhibit problem solving
Creativity
Involves having unique insights and also being able to follow through to transform that insight into a product be it a work of art, an idea for a scientific experiment, or a commercially viable invention
Finke found that people were more likely to come up with creative uses for preinventive objects that they had created themselves than for objects created by other people
Creativity
The process of producing something that is both original and worthwhile