I. Representational hypothesis
A. young children’s concept are concrete, perceptual, holistic, thematic, and globalB. older children’s and adults’ concepts are abstract, conceptual, analytic, taxonomic, and specific
C. how accurately do such distinctions capture young children’s conceptual understanding?
D. three possibilities for conceptual representations
1. defining-features (dictionary)
2. probabilistic features (encyclopedia)
3. theory-based representations (textbook)
II. Defining Feature Representations
A. early research1. thematic vs. taxonomic categories (Piaget)B. Evidence for sensitivity to defining features representations
2. thematic --> chain --> true concepts (Vygotsky)1. Bauer & Mandler (1989) with 1 year-olds in a pointing taskC. Preference vs. ability (Smiley & Brown, 1979)a. taxonomic matches were made 85% of the time2. Smith (1984) with 2-4 year-olds in an imitation taska. 2 exps demonstrated a concept (e.g. red) by holding up different size and colors of multidimensional stimuli (e.g., flowers)
b. by age 3, children consistently showed conceptual knowledge1. pre-, 1st, 5th, college, and elders grouped pictures (e.g. sheep-goat-wool)D. Role of specific knowledge (Keil & Batterman, 1984)
2. 5th graders and college students showed taxonomic relations, others thematic
3. however, 1st and elders were able to specify logic for both methods
4. preference, not necessarily a change in coding1. 5 and 9 year olds could use defining features for better known concepts (e.g., robbers), but both had problems for lesser known ones (e.g., taxi)
III. Probabilistic Features Representations
A. based on family resemblance or prototypes1. 4 main ideasB. Evidencea. cue validities, basic level categories, correlations among features, prototypes1. basic level categories (e.g., Columbo et al., 1987)C. Types of prototype informationa. 3-9 month olds dishabituate to new basic level items2. prototypes (Bomba & Siqueland, 1983)
b. or habituate after several trials to presentations of basics from the same superordinate categorya. 3-4 month olds continued to habituate to prototypes1. mental average - Lasky (1974)D. Preference vs. ability
2. most typical instance - Rosch (1976)1. Waxman (1992)a. children (3 & 4 yr. olds), like adults, preferred basic level labeling, but could label at other, nonbasic levels2. child basic level vs. adult basic levela. e.g., in language acquisition “ball” may mean something different for children and adults (Mervis, 1987)
b. movement can be seen in 2-year olds who are given feedback
IV. Theory-based Representations (schemas)
A. Kiel (1989)1. concepts as partial theoriesB. 3 core theories
2. tied to one’s associative knowledge
3. causal relations are basic
4. hierarchical relations are also informative1. naïve physics (nature of inanimate objects)C. age at first evidence of development
2. naïve biology (nature of living things)
3. naïve psychology (nature of mind)1. physics @ birth (?)
a. e.g., Baillargeon’s work with object permanence
2. psychology @ 18 months
3. biology @ 2-3 years
Problem Solving
I. Themes
A. task analysis: e.g., math problems, working backwardsII. An example - the balance scale problemB. encoding: McCloskey & Kaiser (1984)
1. misencoding of the trajectory of a falling objectC. mental models1. should accurately represent the deep structure of a problemD. domain-specific vs. domain-general knowledge
2. age differences (Vosniadou & Brewer, 1992)a. mental models for the shape of the earth
b. even in 5th grade 40% had non-spherical models1. Chi (1978) and chess expertsE. developmental differences1. Piaget suggested that young children could not create scientific concepts
2. but, even adults have difficulty (and sometimes children succeed)
A. task analysis - weight & distanceIII. a caveatB. mental models (4 rules) - rule assessment method
C. developmental differences
1. some development before age 5 (Case, 1985)D. learning and encodinga. 4-8 mo olds: could recreate a bell ring by imitating the experimenter (involved a push down, lever-like device)
b. 12-18 mos old: could depress the lever so the other end would ring the bell
c. 2-3.5 years: could figure out the device on their own
d. 4-5 years: could use differently-weighted blocks to move the lever and ring the bell1. moderate discrepancy hypothesisE. domain-general processesa. 5 & 8 year olds given problems to solve on the next higher level (Rule II)2. specific training on encoding
b. 8 year olds were more successful than 5 yr olds and often advanced to Rule IIIa. reconstruction of the problem by 5 yr olds (Rule I users) showed difficulties with encoding
b. training on encoding of distance and weight increased their correct encoding (70% success rate)1. similarities in performance on related 2-D problemsa. shadows problem (distance & size; Seigler, 1981)
b. temperature & sweetness (Strauss, 1982)
c. happiness & fairness (Marini, 1992)
A. older children learn faster & more effectively!!!B. differences in other basic processes may help explain --> e.g., planning, causal inference, analogy use, & logical deduction