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ERIC Number: EJ939913
Record Type: Journal
Publication Date: 2008-Sep
Pages: 16
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0261-510X
Can Children Construct Inverse Relations in Arithmetic? Evidence for Individual Differences in the Development of Conceptual Understanding and Computational Skill
Gilmore, Camilla K.; Bryant, Peter
British Journal of Developmental Psychology, v26 n3 p301-316 Sep 2008
Understanding conceptual relationships is an important aspect of learning arithmetic. Most studies of arithmetic, however, do not distinguish between children's understanding of a concept and their ability to identify situations in which it might be relevant. We compared 8- to 9-year-old children's use of a computational shortcut based on the inverse relationship between addition and subtraction, in problems where it was transparently applicable (e.g. 17+11-11 = ) and where it was not (e.g. 15+11-8-3 = ). Most children were able to construct inverse transformations and apply the shortcut in at least some situations, although they used the shortcut more for problems where it was transparently applicable. There were individual differences in the relationship between children's understanding of the inverse relationship and computational skill that have implications for theories of mathematical development.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A