A study of the numerical development of 5-year-olds and 6-year-olds

Forty-one Australian children were interviewed at the beginning, middle and end of a school year. The children were selected from three classes, one a class of 5-year-olds, a second a class of 6-year-olds and from the same school, and a third also a class of 5-year-olds but from a school serving a community considered to be higher in socio-economic terms than that of the first mentioned school. Five models, one based on the theories of Steffeet al., and two adapted from Fuson's study of children's elaboration of number word sequences were used to profile each child's numerical development over the school year. Significant mismatches between children's numerical development and typical curricula are described and changes to current practice recommended. Relationships between the theories of Steffe and Fuson are developed and the study's findings are compared with Young-Loveridge's study of similar focus in New Zealand.

[1]  Bob Wright What number knowledge is possessed by children beginning the kindergarten year of school? , 1991 .

[2]  R. J. Wright Numerical development in the kindergarten year : a teaching experiment , 1992 .

[3]  Carol A. Thornton “Look Ahead” Activities Spark Success in Addition and Subtraction Number-Fact Learning , 1989 .

[4]  P. Starkey,et al.  Perception of numbers by human infants. , 1980, Science.

[5]  Leslie P. Steffe,et al.  Operations that generate quantity , 1991 .

[6]  Leslie P. Steffe Quantitative Comparisons and Class Inclusion as Readiness Variables for Learning First Grade Arithmetical Content. PMDC Technical Report No. 9. , 1976 .

[7]  Eddie Gray,et al.  An analysis of diverging approaches to simple arithmetic: Preference and its consequences , 1991 .

[8]  Bob Wright Number Topics in Early Childhood Mathematics Curricula: Historical Background, Dilemmas, and Possible Solutions , 1992 .

[9]  John Richards,et al.  The Acquisition and Elaboration of the Number Word Sequence , 1982 .

[10]  K. Fuson Children's Counting and Concepts of Number , 1987 .

[11]  J. Piaget The Child's Conception of Number , 1953 .

[12]  Leslie P. Steffe,et al.  Children's counting types: Philosophy, theory, and application , 1983 .

[13]  Ernst von Glasersfeld,et al.  On the Concepts of Period, Phase, Stage, and Level. , 1982 .

[14]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[15]  Ernst von Glasersfeld,et al.  Subitizing: The role of figural patterns in the development of numerical concepts. , 1982 .