Exam 2, Lec 4: Concepts 1
Quiz 5 opens today; due Friday.
WA2 due tonight.
Help session after class.
Fall Break: No class next Monday.
Focus Areas:
Theories
Infant Learning
Concepts
Language
Intelligence
Nativism:
Suggests there are innate concepts.
Core Knowledge Theory proposes simple, starter (innate) concepts.
Empiricism:
Argues that concepts are learned through domain-general learning mechanisms.
Domain of Physical Objects (Inanimates):
Intuitive Theory of Physics.
Domain of Number
Domain of Space
Domain of Living Things (Animates):
Intuitive Theory of Biology.
Domain of People:
Intuitive Psychology or Intuitive Theory of Mind.
Domain of Language.
Inanimates and Number:
Concepts related to physical objects and numerical understanding.
0-8 Months:
Failure in object permanence tasks.
Suggests no mental representations exist; poor means-end reasoning.
Example Tasks:
Blanket/string task.
Reaching in the dark.
Violation of Expectation:
Studied 4-month-olds using looking time to assess understanding of object permanence through different scenarios (e.g., possible vs impossible events).
Naïve Theory of Physics:
Studies by Spelke et. al conclude that:
Physical objects take up space and cannot pass through each other (4 months).
Move along continuous paths (4 months).
Cannot move on their own; animates can (7 months).
Discussion:
Nativists argue knowledge at 4 months suggests innate understanding.
Some experience required for full knowledge of concepts like gravity.
Study Design:
6-month-olds habituated to images with eight or sixteen dots.
Examined looking times to 8 vs 16.
Findings:
Infants looked longer at the non-habituated number.
They can differentiate between numbers based on ratios.
Experiment Procedure:
Objects placed behind a screen, followed by a possible or impossible outcome known.
Observations:
Infants looked longer at outcomes that violated expected number patterns (surprised by missing or excess items).
Minimum Ratios for Number Discrimination:
Newborns (0-6 months): 3:1
6 months: 2:1
9 months: 4:3
Adults: 8:7
Approximate Number System:
Can deal with large quantities but subject to ratio constraints.
Small Number System:
Exact number discrimination for 1, 2, and 3.
Young infants can track multiple objects as individuals, not conceptualizing beyond three items.
How Core Domains Develop:
Importance of language in enhancing numerical understanding post-infancy (e.g., Piraha tribe's limitations).
Fundamental Counting Principles:
One-to-one correspondence.
Stable order of numerals.
Cardinality (the last number counted represents the total).
Order irrelevance.
Abstraction (can apply counting to any set).
Most children grasp these by age 5; the majority by age 3.
Quiz 5 opens today; due Friday.
WA2 due tonight.
Help session after class.
Fall Break: No class next Monday.
Focus Areas:
Theories
Infant Learning
Concepts
Language
Intelligence
Nativism:
Suggests there are innate concepts.
Core Knowledge Theory proposes simple, starter (innate) concepts.
Empiricism:
Argues that concepts are learned through domain-general learning mechanisms.
Domain of Physical Objects (Inanimates):
Intuitive Theory of Physics.
Domain of Number
Domain of Space
Domain of Living Things (Animates):
Intuitive Theory of Biology.
Domain of People:
Intuitive Psychology or Intuitive Theory of Mind.
Domain of Language.
Inanimates and Number:
Concepts related to physical objects and numerical understanding.
0-8 Months:
Failure in object permanence tasks.
Suggests no mental representations exist; poor means-end reasoning.
Example Tasks:
Blanket/string task.
Reaching in the dark.
Violation of Expectation:
Studied 4-month-olds using looking time to assess understanding of object permanence through different scenarios (e.g., possible vs impossible events).
Naïve Theory of Physics:
Studies by Spelke et. al conclude that:
Physical objects take up space and cannot pass through each other (4 months).
Move along continuous paths (4 months).
Cannot move on their own; animates can (7 months).
Discussion:
Nativists argue knowledge at 4 months suggests innate understanding.
Some experience required for full knowledge of concepts like gravity.
Study Design:
6-month-olds habituated to images with eight or sixteen dots.
Examined looking times to 8 vs 16.
Findings:
Infants looked longer at the non-habituated number.
They can differentiate between numbers based on ratios.
Experiment Procedure:
Objects placed behind a screen, followed by a possible or impossible outcome known.
Observations:
Infants looked longer at outcomes that violated expected number patterns (surprised by missing or excess items).
Minimum Ratios for Number Discrimination:
Newborns (0-6 months): 3:1
6 months: 2:1
9 months: 4:3
Adults: 8:7
Approximate Number System:
Can deal with large quantities but subject to ratio constraints.
Small Number System:
Exact number discrimination for 1, 2, and 3.
Young infants can track multiple objects as individuals, not conceptualizing beyond three items.
How Core Domains Develop:
Importance of language in enhancing numerical understanding post-infancy (e.g., Piraha tribe's limitations).
Fundamental Counting Principles:
One-to-one correspondence.
Stable order of numerals.
Cardinality (the last number counted represents the total).
Order irrelevance.
Abstraction (can apply counting to any set).
Most children grasp these by age 5; the majority by age 3.