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Differences between the philosophy of mathematics and the psychology of number development

Published online by Cambridge University Press:  11 December 2008

Richard Cowan
Richard Cowan
Affiliation:
Department of Psychology and Human Development, University of London, London WC1H 0AL, United [email protected]
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Abstract

The philosophy of mathematics may not be helpful to the psychology of number development because they differ in their purposes.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 648
Copyright
Copyright © Cambridge University Press 2008

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References

Ball, D. L. & Bass, H. (2003) Making mathematics reasonable in school. In: A research companion to principles and standards for school mathematics, ed. Kilpatrick, J., Martin, W. G. & Schifter, D., pp. 27–44. National Council of Teachers of Mathematics.Google Scholar
Baroody, A. J. (1995) The role of the number-after rule in the invention of computational shortcuts. Cognition and Instruction 13:189–219.Google Scholar
Griffin, S. A., Case, R. & Siegler, R. S. (1994) Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In: Classroom lessons: Integrating cognitive theory and classroom practice, ed. McGilly, K., pp. 25–49. MIT Press.Google Scholar
Harris, P. L. & Koenig, M. A. (2006) Trust in testimony: How children learn about science and religion. Child Development 77:505–24.CrossRefGoogle ScholarPubMed
Siegler, R. S. & Robinson, M. (1982) The development of numerical understandings. In: Advances in child development and behaviour, vol. 16, ed. Reese, H. W. & Lipsitt, L. P., pp. 241–312. Academic Press.Google Scholar