ch 8 slide deck Flashcards
analogical representations
pictures
symbolic representations
describing what happened
writing path
reality, analogical representation, symbolic representations
reading path
symbolic representations, analogical, reality
Problem solving
– Finding a way around an obstacle to reach a goal.
– Building an analogical representation of a problem is the first step to
effectively solve the problem
Decision making
A cognitive process that results in the selection of a course of action
or belief from several options
The Buddhist monk problem
One morning a Buddhist monk sets out at sunrise to climb a path up
the mountain to reach the temple at the summit. He arrives at the
temple just before sunset. A few days later, he leaves the temple at
sunrise to descend the mountain, traveling somewhat faster since it is
downhill. Is there a spot along the path that the monk will occupy at
precisely the same time of day on both trips?
* How do you construct an analogical representation of this
problem?
unproductive representation?
- Thinking in terms of distance &
speed - Trying to locate that spot as if
solving a math or physics
problem—it is not this
complicated
The Buddhist monk problem
One morning a Buddhist monk sets out at sunrise to climb a path up
the mountain to reach the temple at the summit. He arrives at the
temple just before sunset. A few days later, he leaves the temple at
sunrise to descend the mountain, traveling somewhat faster since it is
downhill. Is there a spot along the path that the monk will occupy at
precisely the same time of day on both trips?
* How do you construct an analogical representation of this
problem?
productive representation??
Productive Representation
* Visualize the path of the monk
ascending and descending the
mountain.
* The paths start at opposite ends
and proceed in opposite direction.
* Think of two monks walking in
opposite directions along the same
path on the same day.
Chi, Feltovich, & Glaser (1981) background
– The quality of problem representation influences the ease with which
the problem can be solved.
– Experts possess domain specific knowledge (or problem schemata)
with which solutions to the problems are easily arrived.
– “…much of expert power lies in the expert’s ability to quickly
establish correspondence between externally presented events and
internal models for these events” (p. 123)
– Experts represent problem by category (i.e., perceptual chunking)
Chi, Feltovich, & Glaser (1981), purpose?
To investigate the qualitative differences between the
representations of physics problems by experts and novices.
* To understand the role of categorization in expert problem
solving.
Chi, Feltovich, & Glaser (1981) results?
- Novices sorted the problems based on surface structures : the
objects (e.g., inclined plane) referred to in the problems, the
literal physics terms mentioned in the problems (e.g., friction),
the physical configuration described in the problems (e.g., a
block on an inclined plane). - Experts sorted the problems based on deep structures: physics
principles governing the solutions of the problems (e.g.,
Newton’s second law, conservation of energy)
Chi, Feltovich, & Glaser (1981). experts were ___ in sorting the problem
slower
- Experts spent more time analyzing the problems; they tried to
understand the problems before solving the problems
Chi, Feltovich, & Glaser. expertise is only an advantage in ……
Expertise is only an advantage in the expert’s specialty (recall that
the chess master was not better than the novice in memorizing
random chess positions)
Question to think about:
* What might be a disadvantage of being an expert?
we are more capable of thinking in ____ ways than ___ ways
concrete than abstract
we tend to search for evidence that …..
confirms our decisions, beliefs, and hyptheses
we are often overly influenced by _____ _____ _____ stored in our memories when making judgements
general world knowledge
Our world knowledge sometimes has prevented us from seeing
he pure logic; and sometimes has enabled us to see it.
Deductive reasoning is a type of reasoning which
begins with
some specific premises that are assumed to be true. Based on
the premises, a conclusion is drawn.
A conclusion is valid if
it follows the principles of logic
Deductive reasoning involves determining whether the
conclusion is
valid
two major types of deductive reasoning:
– Syllogism
– Conditional reasoning (also called propositioning reasoning)
Syllogism
- A three-statement logical form.
- The first two parts state the premises or statements taken to
be true. - The third part states a conclusion based on those premises.
Syllogism abstract vs concrete form
abstract- all A are B, all B are C, therefore all A are C
concrete: all poddles are dogs, all dogs are animals, therefore all poodles are animals
A valid conclusion does not always have
empirical truth
When doing research, if one of the initial assumptions is
wrong,
the whole conclusion does not have empirical truth (we
are wrong from the beginning)
An invalid syllogism is one that
the first two premises are true
(or assumed to be true), but the conclusion is false (or is not
always true)
venn diagram stuff
Conditional reasoning involves a
a logical determination of a
conclusion (or no conclusion) if one part of the if/then
statement is assumed to be true or not true
Conditional Reasoning: If P then Q
Two parts:
1) A conditional clause
- If P (the antecedent), then Q (the consequent)
2) Evidence
- P is true (P)
- P is not true (not P)
- Q is true (Q)
- Q is not true (not Q)
Modus ponens
Affirming the
antecedent
Modus tollens
Denying the
consequent
People are good at inferring the truth of the consequent given
evidence that the antecedent is
true
Performance was excellent (100% in one study) for the case of
modus ponens when the problems were presented in
either concrete or abstract
Rate of making correct inferences for the case of modus tollens
ranged from ____ to ____ when the problems were stated in an
abstract form
57% to 77%