Well-defined problems
all aspects of the problem are clearly specified (= initial state, goal, methods available) (e.g. maze or chess)
(used in research as there’s an optimal strategy and errors/deficiencies can easily be identified
Ill-defined problems
definition of problem is underspecified, initial state, goal state & methods unclear (e.g. keys locked in car)
(every day problems)
Knowledge-rich problems
can only be solved with considerable amounts of prior knowledge
Knowledge-lean problems
can be solved without prior knowledge as necessary info is provided by problem statement
Major Aspects of Problem Solving
Factors Influencing Problem-Solving
functional fixedness – (Past experience)
fail to solve a problem because we assume from past experience that any given object has a limited number of uses (e.g. candle and box of nails - Duncker problem)
Einstellung – (Past experience)
mental set in which people use a familiar strategy even where there is a simpler alternative or the problem cannot be solved using it
Incubation
the finding that a problem is solved more easily when it is put away for some time (Wallas)
Incubation (Wallas vs Simon)
Expertise
Chunking theory
memory chunks contain more information & more chunks are stored
Expertise
Template theory
chunks that are used frequently develop into more complex data structures –> few large templates (=more general_ rather than large number of chunks
— Template = core (= similar to fixed info stored in chunks) + slots (=contain variable info) thus are more flexible
Expertise
Routine expertise
using acquired knowledge to solve familiar problems efficiently (focus of template theory)
Expertise
Adaptive Expertise
using acquired knowledge to develop strategies for dealing with novel problems
Gestalt approach
Predecessor
Trial-and-error learning
a solution is reached by producing fairly random responses rather than by a process of thought
Reproductive thinking
re-use of previous experiences/ knowledge to solve a current problem (Thorndike’s cat experiment)
Productive thinking
solving a problem by developing an understanding of the problem’s underlying structure (Gestalt approach)
Representational Change Theory (Ohlsson)
Ways of changing a problem representation
Limitations of Representational Change Theory
Problem Space Hypothesis
(Newell & Simon)
Problem space
an abstract description of all the possible states that can occur in a problem situation
- Rely heavily on heuristics (= rules of thumb) that produce approx. accurate answers (unlike algorithms that guarantee solution)
Means-ends analysis
heuristic method based on creating a sub-goal to reduce the difference between the current & goal state
Hill climbing
change the present state of a problem into one apparently closer to the goal (e.g. maze) simpler than means-ends