Title: Week 10
1Week 10
2Problem Solving
- GROUND
- FEET
- FEET
- FEET
- FEET
- FEET
- FEET
3Problem Solving
- What is it? Goal-directed, means-end behaviours
- When can we do it?
- 8 months (Piagetobject retrieval)
- 7 months (Diamond)
- 4 months (Baillargeon)
- BUTHave to make problem relevant and interesting!
4Topics
- Inducing rules
- Planning
- Reasoning by analogy
- Formal reasoning
- Bilingualism II
5Inducing Rules in an Oddity task
- One of these things is not like the other
6- One of these things is not like the other
- Pike
- Plate
- Pleather
7- One of these things is not like the other
- Piaget
- Information Processing
- Connectionism
8Inducing Rules in oddity tasks
- Kids can learn to do this at a very young age
with concrete objects - Move from needing hints (lt6), to concrete items
(6), to more abstract sets of items - Adults typically get it on their own
- WCST eg
9Sieglers Theory
- Believes that all of cognitive development can be
explained by improvement in problem solving
abilities, with increasingly powerful use of
rules
10Scale Problem
What way would the scale tilt?
11Sieglers Theory
- Believes that all of cognitive development can be
explained by improvement in problem solving
abilities, with increasingly powerful use of
rules - Used Rule-Assessment approach to determine what
rules children were using
12Sieglers Theory
- Predicted 4 identifiable rules that could be used
- If weight is same, balance If different, side
with more weights goes down - Same as 1, but if weight is equal, then farthest
from center goes down - Can use both above, but if there is a conflict
(more weights on side that is closer to middle),
then guess - If situation above arises, calculate torque
(weight X distance), and side with greater torque
will go down
13Rule 1 Rule 2 Rule 3 Rule 4
Balance 100 100 100 100
Weight 100 100 100 100
Distance 0 balance 100 100 100
Conflict-W 100 100 33 (chance) 100
Conflict-D 0 right down 0 right down 33 (chance) 100
Conflict-B 0 right down 0 right down 33 (chance) 100
14Conflict - Weight
Balance
Weight
Conflict - Distance
Conflict - Balance
Distance
15Sieglers Theory of problem solving
- Adaptive Strategy Choice Model
- All 4 strategies are available at all times
- They compete to be used
- Younger more perceptual
- Applies to many other aspects of problem solving
16Card Sorting TaskPre-switch Condition
17Card Sorting TaskPost-switch Condition
18Following RulesCognitive Control and Complexity
Theory
- Devised by Zelazo and colleagues
- 2-year-olds can sort cards by 1 rule, but not 2
- 2 ½ can sort by concrete categories but not
abstract - 3 years can sort a deck into 2 boxes, but cant
switch into opposite boxes (DCCS) - Show an Abulic Dissociation
19The CCC
- Perseverate on pre-switch if
- rules repeated on every single trial
- after only one trial
- regardless of shape or colour on card
- regardless of order
- Why?
20The CCC Rule Hierarchy
If colour game and
If shape game and
Blue
Red
Circle
Square
Then here
Then here
Then here
Then here
Cannot reflect on rule system as a whole and use
it all.
21Planning (A kind of problem-solving)
- 3 characteristics of planning
- Occurs in novel and complex situations
- We plan opportunistically, in an abstract way,
with gaps in the plan so as to revise as we go
along - Planning has both costs and benefits, in that it
saves time, but is cognitively demanding
22Planning (A kind of problem-solving)
- Children have trouble planning ahead until the
age of 5 - 5 reasons why
- Inhibitory failure
- Tend to act impulsively, rather be quick than
correct - Planning seen as difficult and time-consuming
- Not always rewarded for it
- Just take task for what it is, fun!
- E.g. Tower of Hanoi
23(No Transcript)
24- 3-year-olds can solve two disc problems, but just
cheat if they confront barrier - Can solve longer problems with increasing age
- Older children know to establish subgoals
- Even at age 6, have a hard time moving away from
main goal when completing subgoal
25Reasoning by Analogy
- Examples
- Your brain as a computer
- RiceSake Grape??????????
- CarRoad Boat??????
- Bird Nest Dog??????
26Analogical Reasoning
- Goswami Can do so from very young
- Relational Primacy Hypothesis (Chen, Sanchez,
Campbell, 1997) - 29 solved 1st problem, 43 solved the 2nd, and
67 solved the 3rd
27Factors affecting Analogical Reasoning
- Relational Shift
- Shift from focus on perceptual features to focus
on relational similarities - Knowledge
- What we know can help us
- Eg. Goswamis Three little bears task
- Metacognition
- Training improves performance
- Eg. Brown Kane
28Formal Reasoning
- Where form of argument and logical, not actual,
truth must prevail - This is very difficult until teens, sometimes
beyond (Piaget was right!) - We use syllogisms to examine this form of logic
29Formal Reasoning Examples
- If there is a cow, then there are horns.
- There is a cow
- There are horns
- True or false?
30Formal Reasoning examples
- If there is a cow then there are horns.
- There is no cow.
- There are no horns.
- True or false?
31Formal Reasoning
- Adults
- go through all possible combinations of
conditions to arrive at the correct answer - lt 10 or 11
- children fail to consider all possibilities
- But we can all do badly on false implication
conditions! - However, sometimes young children can solve these
syllogisms
32Hawkins study
- 3 kinds of syllogism
- Congruent with reality
- Bears have big teeth, animals with big teeth
cant read books. Do bears read books? - Incongruent with reality
- Glasses bounce when they fall, everything that
bounces is made of rubber. Are glasses made of
rubber? - Fantasy
- All Zaphods are plaid. Plaid things have webbed
feet. Do Zaphods have webbed feet?
33Hawkins study
- 4- and 5-year-olds can do congruent syllogism
- But not incongruent couldnt ignore what they
know to be true - They all did well on the fantasy items
34- Relate childrens problem solving to other
cognitive developmental featsmove away from
perceptual towards conceptual, can handle more
and more info with age
35Bilingualism II
- Remember No reliable effects of a second
language on any forms of actual language
development - Effects are seen on metalinguistic tasks
- Sun/Moon
- Grammaticality
- Moving Word
36Bilingual children and problem solving
- What do these tasks have in common?
- They all contain some kind of distracting
information! - There are no differences on tasks with no
distracting information - Move away from language to lower-level cognitive
processes
37Bialystok Majumder, 1998
- Piagets Water Level task
- Contains misleading info
- Block Design
- Contains misleading info
- Noelting Juice task
- Does not contain misleading info
- Children were English, Chinese-English, and
Bengali-English
38Water Level Problem
39Block Design Task
40Noelting Juice Task
41Results of Tasks
42Card Sorting TaskPre-switch Condition
43Card Sorting TaskPost-switch Condition
44Mean number correct in Post-Switch
45Bialystok Codd (1997)
- Towers Task (Duplo VS Lego)
- Contains distracting info
- Sharing Task
- Does not contain distracting info
46Towers Task Congruent Condition
47Towers TaskCongruent Condition 2
48Towers TaskCongruent Condition 3
49Towers TaskIncongruent Condition
50Sharing Task
- Children are told
- Here are 2 friends. Here are some cookies. Your
job is to give everyone some cookies, and you
have to make sure you all have the same number of
cookies. Make sure you count them out!
51Results
- (Surprise) Bilingual children outperformed the
monolingual children on the incongruent
conditions of the Towers task - Both groups did the same on the congruent
conditions as well as on the sharing task
52Simon Effect
- Stimuli contain target and position cues, and
subjects must ignore position - Simon effect is RT cost when position leads to
the incorrect solution
53When you see a red square, press the button on
the left.When you see a green square, press the
button on the right.
54Simon Task by Group
55Features of Tasks Showing Bilingual Advantage
- Misleading cue
- Choice between (apparently) valid options
- Problem domain irrelevant
56What is the advantage?
- Bilingual children excel in situations where
there are 2 pieces of conflicting information,
one very salient, but incorrect, and one less
salient, but correct - They do not excel if the task is too difficult,
or if there is no conflicting information
inherent in display
57Interpretation of Advantage
- 2 languages are on line at all times
- Must suppress one to use the other
- These children have continual life long practice
in cognitive inhibition! - These effects are manifest throughout the
lifespan, and may even even help delay cognitive
aging (Bialystok, Craik, Klien, Viswanathan,
2004) - MEG evidence