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Specific and general underpinnings to number; parallel development

Published online by Cambridge University Press:  11 December 2008

Antonio Martins-Mourao  and
Annette Karmiloff-Smith
Antonio Martins-Mourao
Affiliation:
Department of Psychology, University of Bedfordshire, Park Square, Luton LU1 3JU, United Kingdom
Annette Karmiloff-Smith
Affiliation:
Developmental Neurocognition Lab, Centre for Brain and Cognitive Development, School of Psychology, Birkbeck College, University of London, London WC1E 7HX, United Kingdomantonio.mourao@beds.ac.uka.karmiloff-smith@bbk.ac.uk
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Abstract

In this commentary, we outline an epistemological continuum between earlier and later number concepts, showing how empirical findings support the view that specific and general underpinnings to number develop in parallel in children; and we raise the question, based on cross-syndrome comparisons in infancy, as to whether exact or approximate number abilities underlie these later skills.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 661
Copyright
Copyright © Cambridge University Press 2008

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References

Ansari, D., Donlan, C., Thomas, M., Ewing, S., Peen, T. & Karmiloff-Smith, A. (2003) What makes counting count? Verbal and visuo-spatial contributions to typical and atypical number development. Journal of Experimental Child Psychology 85(1):50–62.Google Scholar
Bryant, P. (1994) Children and arithmetic. Journal of Child Psychology and Psychiatry 36(1):3–32.Google Scholar
Fuson, K. C. (1988) Children's counting and concepts of number. Springer-Verlag.Google Scholar
Gelman, R. & Gallistel, C. R. (1978) The child's understanding of number. Harvard University Press/MIT Press. (Second printing, 1985. Paperback issue with new preface, 1986).Google Scholar
Hiebert, J. & Behr, M. (1988) Research agenda for mathematics education. In: Number concepts and operations in the middle grades, vol. 2, ed. Hiebert, J. & Behr, M.. Erlbaum/National Council of Teachers of Mathematics.Google Scholar
Karmiloff-Smith, A. (1992) Beyond modularity. MIT Press.Google Scholar
Martins-Mourao, A. (2000) Pre-school children's understanding of the structure of the numeration system. Analise Psicologica 318(18):355–70.Google Scholar
Martins-Mourao, A. & Cowan, R. (1998) The emergence of additive composition of number. Educational Psychology 18(4):678–95.Google Scholar
Nunes, T. & Bryant, P. (1996) Children doing mathematics. Blackwell.Google Scholar
Paterson, S. J., Brown, J. H., Gsödl, M. K., Johnson, M. H. & Karmiloff-Smith, A. (1999) Cognitive modularity and genetic disorders. Science 286(5448):2355–58.Google Scholar
Paterson, S. J., Girelli, L., Butterworth, B. & Karmiloff-Smith, A. (2006) Are numerical impairments syndrome specific? Evidence from Williams syndrome and Down's Syndrome. Journal of Child Psychology and Psychiatry 47(2):190–204.Google Scholar
Piaget, J. (1952) The child's conception of number. Routledge and Kegan Paul/Humanities Press.Google Scholar
Piaget, J. & Szeminska, A. (1952) The child's conception of number. Routledge and Kegan Paul.Google Scholar
Resnick, L. B. (1983) A developmental theory of number understanding. In: The development of mathematical thinking, ed. Ginsburg, H. P., pp. 109–51. Academic Press.Google Scholar
Van Herwegen, J. V., Ansari, D., Xu, F. & Karmiloff-Smith, A. (in press) Small and large number processing in infants and toddlers with Williams syndrome. Developmental Science.Google Scholar