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Early numerical representations and the natural numbers: Is there really a complete disconnect?

Published online by Cambridge University Press:  11 December 2008

Stella F. Lourenco  and
Susan C. Levine
Stella F. Lourenco
Affiliation:
Department of Psychology, Emory University, Atlanta, GA 30322; stella.lourenco@emory.eduhttp://www.psychology.emory.edu/cognition/lourenco/index.html
Susan C. Levine
Affiliation:
Department of Psychology, University of Chicago, Chicago, IL 60637. s-levine@uchicago.eduhttp://psychology.uchicago.edu/people/faculty/slevine.shtml
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Abstract

The proposal of Rips et al. is motivated by discontinuity and input claims. The discontinuity claim is that no continuity exists between early (nonverbal) numerical representations and natural number. The input claim is that particular experiences (e.g., cardinality-related talk and object-based activities) do not aid in natural number construction. We discuss reasons to doubt both claims in their strongest forms.

Information

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 660
Copyright
Copyright © Cambridge University Press 2008

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References

Carey, S. (2004) Bootstrapping and the origins of concepts. Daedalus Winter issue, pp. 59–68.CrossRefGoogle Scholar
Denton, K. & West, J. (2002) Children's reading and mathematics achievement in kindergarten and first grade. National Center for Education Statistics (NCES 2002–125), Washington, D.C. U.S. Department of Education.Google Scholar
Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. C., Klebanov, P., Pagani, L. S., Feinstein, L., Engel, M., Brooks-Gunn, J., Sexton, H., Duckworth, K. & Japel, C. (2007) School readiness and later achievement. Developmental Psychology 43:1428–46.CrossRefGoogle ScholarPubMed
Ehrlich, S. B. (2007) The preschool achievement gap: Are variations in teacher input associated with differences in number knowledge? Dissertation Abstracts International: Section B: The Sciences and Engineering 68(2–B):1337.Google Scholar
Everett, D. (2005) Cultural constraints on grammar and cognition in Pirahã: Another look at the design features of human language. Current Anthropology 46:621–46.CrossRefGoogle Scholar
Klibanoff, R. S., Levine, S. C., Huttenlocher, J., Vasilyeva, M. & Hedges, L. V. (2006) Preschool children's mathematical knowledge: The effect of teacher “math talk.” Developmental Psychology 42:59–69.CrossRefGoogle ScholarPubMed
Landy, D. & Goldstone, R. L. (2007) How abstract is symbolic thought? Journal of Experimental Psychology: Learning, Memory, and Cognition 33:720–33.Google ScholarPubMed
Le Corre, M. & Carey, S. (2007) One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 105:395–438.CrossRefGoogle ScholarPubMed
Levine, S. C., Jordan, N. C. & Huttenlocher, J. (1992) Development of calculation skills in young children. Journal of Experimental Child Psychology 53:72–103.CrossRefGoogle ScholarPubMed
Levine, S. C., Suriyakham, L. W., Huttenlocher, J., Rowe, M. L. & Gunderson, E. A. (under review) What counts in toddlers' development of cardinality knowledge?Google Scholar
Mix, K. S. (2008) Surface similarity and label knowledge impact early numerical comparisons. British Journal of Developmental Psychology 26:13–32.CrossRefGoogle Scholar
Mix, K. S. (in press) Spatial tools for mathematical thought. In: Thinking through space, ed. Smith, L.B., Gasser, M. & Mix, K. S.. Oxford University Press.Google Scholar
Siegler, R. S. & Jenkins, E. A. (1989) How children discover new strategies. Erlbaum.Google Scholar
Suriyakham, L. W. (2007) Input effects on the development on the cardinality principle: Does gesture count? Dissertation Abstracts International: Section B: The Sciences and Engineering 68(5–B):3430.Google Scholar
Thompson, P. W. (1994) Concrete materials and teaching for mathematical understanding. Arithmetic Teacher 41:556–58.CrossRefGoogle Scholar