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Because it's there! Why some children count, rather than infer numerical relationships.

Muldoon, Kevin P. and Lewis, Charlie and Towse, John N. (2005) Because it's there! Why some children count, rather than infer numerical relationships. Cognitive Development, 20 (3). pp. 472-491. ISSN 0885-2014

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    Abstract

    Two experiments are described that investigate the ability to infer the number of items in oneto- one corresponding sets for two age groups. We assess the influence of set-size, the visibility of sets, and the way in which set equivalence is derived - pairing versus sharing - using a repeated-measures design. Three-year-olds are largely restricted to inferring number after separating out conceptually paired items. In contrast, four-year-olds are able to make appropriate inferences about shared items, but they typically prefer to count those items if they are visible. Moreover, the size of corresponding sets affects children’s propensity to count rather than infer. Children count more often on larger sets. The ability to infer number using cardinal extension is associated most strongly with sharing proficiency, although counting skills also play an important part. We discuss how the data reveal an emerging understanding of the relationship between one-to-one correspondence and cardinality.

    Item Type: Article
    Journal or Publication Title: Cognitive Development
    Additional Information: The final, definitive version of this article has been published in the Journal, Cognitive Development 20 (3), 2005, © ELSEVIER.
    Uncontrolled Keywords: Sharing ; Counting ; One-to-one correspondence ; Numerical equivalence
    Subjects: B Philosophy. Psychology. Religion > BF Psychology
    Departments: Faculty of Science and Technology > Psychology
    ID Code: 11108
    Deposited By: Dr John Towse
    Deposited On: 01 Aug 2008 09:29
    Refereed?: Yes
    Published?: Published
    Last Modified: 30 Sep 2013 15:20
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/11108

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