Development of the Ability to Judge Relative Areas: Young Children's Spontaneous Use of Superimposition as a Cognitive Tool

Abstract This study examined the role of the cognitive procedure of superimposition in the development of an area concept. Forty-five children from age 4 to 6 were presented with target squares or rectangles and asked to choose one that was equal to two standard rectangles in area. In the perceptual judgment condition, children compared these figures just by looking; whereas, in the manipulative judgment condition, they placed the standard figures on the targets. Children were also asked to compare the sizes of geometric figures, and their spontaneous strategies were observed. The children performed better under the manipulative judgment condition than under the perceptual judgment condition, and their performance was facilitated when one target could be overlapped completely with the standard figures. Each of these facilitating effects was found independently of the other only in children who used the strategy of superimposition spontaneously for comparing sizes.

[1]  Susan A. Gelman,et al.  Coordination of size standards by young children. , 1988 .

[2]  Friedrich Wilkening,et al.  Combining of stimulus dimensions in children's and adults' judgments of area: An information integration analysis. , 1979 .

[3]  Susan A. Gelman,et al.  Rule Usage in Children's Understanding of "Big" and "Little.". , 1984 .

[4]  L. Smith,et al.  New evidence on the development of the word big. , 1990, Child development.

[5]  I. Silverman,et al.  Developmental and individual differences in children's area judgment rules , 1988 .

[6]  Dimensional salience and judgments of bigness by three-year-old children. , 1975, Child development.

[7]  Ann L. Brown.  Analogical learning and transfer: what develops? , 1989 .

[8]  Lauren B. Resnick,et al.  Developing mathematical knowledge. , 1989 .

[9]  M. Maratsos,et al.  Decrease in the Understanding of the Word "Big" in Preschool Children , 1973 .

[10]  Y. Wolf.  Estimation of Euclidean Quantity by 5- and 6-Year-Old Children: Facilitating a Multiplication Rule , 1995 .

[11]  J. Russell.  The interpretation of conservation instructions by five-year-old children. , 1975, Journal of child psychology and psychiatry, and allied disciplines.

[12]  M. Leon.  Extent, multiplying, and proportionality rules in children's judgments of area. , 1982, Journal of experimental child psychology.

[13]  R. Bogartz,et al.  A functional measurement analysis of the development of dimensional coordination in children. , 1978, Journal of experimental child psychology.

[14]  E. Mullet,et al.  Area judgment from width and height information: the case of the rectangle. , 1998, Journal of experimental child psychology.

[15]  H BEILIN,et al.  Logical operations in area and length measurement: age and training effects. , 1962, Child development.

[16]  S. Gelman,et al.  Children's use of nonegocentric standards in judgments of functional size. , 1989, Child development.

[17]  Prentice Starkey,et al.  The Development of Children's Mathematical Thinking: Connecting Research with Practice. , 1998 .

[18]  D. Cuneo,et al.  A general strategy for quantity judgments: the height width rule. , 1980, Child development.

[19]  N. Anderson,et al.  The height?+?width rule in children's judgments of quantity , 1978 .

[20]  I. Sigel,et al.  HANDBOOK OF CHILD PSYCHOLOGY , 2006 .

[21]  Kevin F. Miller,et al.  Measurement as a tool for thought: The role of measuring procedures in children's understanding of quantitative invariance. , 1989 .

[22]  Gerd Gigerenzer,et al.  Context effects and their interaction with development: Area judgments , 1990 .

[23]  M. Chi,et al.  Network representation of a child's dinosaur knowledge. , 1983 .

[24]  S. Gelman,et al.  Children's use of context in interpreting "big" and "little". , 1994, Child development.

[25]  Judgments of quantity and conservation of quantity: the area of a rectangle. , 1989, Journal of experimental child psychology.

[26]  The effect of “origami” practice on size comparison strategy among young Japanese and American children , 1999 .