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Autor/inn/enGilmore, Camilla K.; Bryant, Peter
TitelCan Children Construct Inverse Relations in Arithmetic? Evidence for Individual Differences in the Development of Conceptual Understanding and Computational Skill
QuelleIn: British Journal of Developmental Psychology, 26 (2008) 3, S.301-316 (16 Seiten)
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0261-510X
DOI10.1348/026151007X236007
SchlagwörterConcept Formation; Arithmetic; Mathematics Skills; Computation; Individual Differences; Mathematical Concepts; Comprehension; Addition; Subtraction; Developmental Psychology
AbstractUnderstanding 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. (As Provided).
AnmerkungenBritish Psychological Society. St Andrews House, 48 Princess Road East, Leicester, LE1 7DR, UK. Tel: +44-116-254-9568; Fax: +44-116-227-1314; e-mail: enquiry@bps.org.uk; Web site: http://www.bpsjournals.co.uk
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2017/4/10
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