Abstract
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.
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References
Fuson, K., Richards, J., and Briars, D.: 1982, ‘The Acquisition and Elaboration of the Number Word Sequence’, in C. J. Brainerd (ed.),Progress in Cognitive Development: Vol. 1. Children's Logical and Mathematical Cognition, New York: Springer-Verlag, pp. 33–92.
Fuson, K.: 1988,Children's Counting and Concepts of Number, New York: Springer-Verlag.
Gelman, R. and Gallistel, R. G.: 1978,The Child's Understanding of Number, Cambridge, MA: Harvard University Press.
Gray, E.: 1991, ‘An Analysis of Diverging Approaches to Simple Arithmetic: Preference and its Consequences’,Educational Studies in Mathematics 22, 551–574.
Gruszczyk-Kolczynska, E. and Semadeni, Z.: 1990, ‘The Child's Maturity to Learn Mathematics in the School Situation’, in I. Wirszup and R. Streit (eds.),Developments in School Mathematics Education Around the World (Vol. 2), Reston, VA: NCTM, pp. 210–233.
Klich, Z. and Davidson, G. R.: 1983, ‘Towards a Recognition of Australian Aboriginal Cognitive Competence’, in J. Kirby (ed.),Cognitive Strategies and Educational Performance, New York: Academic Press, pp. 155–202.
Mathematics K-6: 1989, Sydney: NSW Dep't of Education.
Piaget, J.: 1965,The Child's Conception of Number, (C. Gattegno and F. M. Hodgson, Trans.), New York: Norton. (Originally published 1941).
Starkey, P. and Cooper, R. J.: 1980, ‘Perception of Numbers by Human Infants’,Science 210, 1033–1035.
Steffe, L. P.: 1991, ‘Operations that Generate Quantity’,Learning and Individual Differences 3(1), 61–82.
Steffe, L. P., Hirstein, J. J., and Spikes, W. C.: 1976,Quantitative Comparisons and Class Inclusion as Readiness Variables for Learning First Grade Arithmetical Content (PMDC Report No. 9). University of Georgia, Center for the Study of Learning and Teaching Mathematics.
Steffe, L. P., von Glasersfeld, E., Richards, J., and Cobb, P.: 1983,Children's Counting Types: Philosophy, Theory, and Application, New York: Praeger.
Steffe, L. P. and Cobb, P.: 1988,Construction of Arithmetic Meanings and Strategies, New York: Springer-Verlag.
Thornton, C.: 1989, ‘Look Ahead Activities Spark Success in Addition and Subtraction Number-Fact Learning’,Arithmetic Teacher 36, 8–11.
von Glasersfeld, E.: 1982, ‘Subitizing — The Role of Figural Patterns in the Development of Numerical Concepts’,Archives de Psychologie 50, 191–218.
von Glasersfeld, E. and Kelley, M.: 1982, ‘On the Concepts of Period, Phase, Stage, and Level’,Human Development 25, 152–160.
Wright, R. J.: 1989,Numerical Development in the Kindergarten Year: A Teaching Experiment, Doctoral Dissertation, University of Georgia.
Wright, R. J.: 1991a, ‘The Role of Counting in the Numerical Development of Young Children’,The Australian Journal of Early Childhood 16(2), 43–48.
Wright, R. J.: 1991b, ‘What Number Knowledge is Possessed by Children Entering the Kindergarten Year of School?’,Mathematics Education Research Journal 3(1), 1–16.
Wright, R. J.: 1992, ‘Number Topics in the Early Childhood Mathematics Curricula: Historical Background, Dilemmas, and Possible Solutions’,Australian Journal of Education 36(2), 125–142.
Young-Loveridge, J.: 1989, ‘The Development of Children's Number Concepts: The First Year of School’,New Zealand Journal of Educational Studies 24(1), 47–64.
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Wright, R.J. A study of the numerical development of 5-year-olds and 6-year-olds. Educ Stud Math 26, 25–44 (1994). https://doi.org/10.1007/BF01273299
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DOI: https://doi.org/10.1007/BF01273299