Chapter 11: Problem Solving Flashcards
what is a problem?
an obstacle between the initial state and the goal state, where the solution is not obvious
what is a well defined problem?
-has a clear starting point (initial state)
-has a clear end point (goal state)
-it is easy to see and clear when the goal is reached
what is an example of a well defined problem?
“How do I get to Einsteins?” You take a left, then a right, etc. and you will know because you can see the sign and smell the bagels.
what is an ill defined problem?
-lacks one or both points (initial and/or goal state)
“how do I get to Einsteins?” as a football recruit who has never been to campus before and doesn’t have a map
what is a wicked problem?
-no agreed starting point
-no agreed end point
(usually a social or cultural problem
-all possible solutions are neither simple or final
(usually large consequences for unsuccessful attempts)
in order to solve a well defined problem it needs to be…
represented correctly
-we need to understand all possible actions and restrictions
-we need to understand the initial and the goal states
what is an example of a well defined problem that is also represented well?
sudoku
in order to solve well defined problems, we need to adequately use our _____________ & ____________ _____________.
attention
&
working memory
what are the two types of problems?
- analytical based problems
- insight based problems
what is an analytical based problem
a problem that incorporates a gradual systemic process that leads to representation
“I’m getting closer”
bucket problem
what is an insight based problem?
sudden realization (insight) that leads to problem restructuring then representation
“aha moment”
chain problem
what is an example of a problem that can be both analytical and insight based at the same time?
crossword puzzles
Metcalfe (1987)
ppts solved an analytical algebra problem
-predicted difficulty 6/10
-higher confidence in solving
-gradual increase in warmth
ppts solved insight logic puzzles
-predicted difficulty 7.7/10
-perceived as more challenging
-sudden spike in warmth
what is there a lack of early progress in insight problems?
fixation
what is fixation?
tendency to focus on a specific problem characteristic which impedes the solution
usually is the result of strong association
ex. Dunckers candle problem-mounting the candle to the wall
Duncker (1945)
functional fixedness
-we usually see objects as only having one main function
ie) the function of the tack box is to hold tacks BUT it can also hold a candle we just cant see that
Adamson (1952)
Encouraging Insight
ppts given the candle problem
-given box with tacks inside (41% solved)
-given box with tacks on outside (86% solved)
Maier (1931)
Encouraging insight
ppts given the two string problem
-37 of 60 did not solve the problem on their own (62%)
-23 of those remaining 37 did solve after the researcher “bumped into the string”
why? they had never had that experience before so they had no schema.
what is a mental set?
like a toolbox of experience
made up of our assumptions and ideas about solving the problem based on our prior experience
“last time I did X, so I’ll try that again”
it helps only if the experience is applied correctly, but it hurts you if it is applied incorrectly
analytical problem solving
ex. the tower of hanoi problem
getting from the initial state to the goal state takes “operators” or actions that take us to intermediate states
you make a move than then assess the state
what is the number of possible intermediate states referred to as?
the problem space
what are problem solving strategies that can be implemented when one is approaching the goal state without knowing the problem space
- mean end analysis
- working backward
- using analogy
all examples use becoming a rockstar as the goal state
mean end analysis
method of problem solving that makes subgoal states to use to work forward
ex.
1. master an instrument
2. book small venue
3. get an agent
etc.
working backwards
method of problem solving that aims for states that occur just before a goal
ex. have an album