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Title: A Developmental Scale of Mental Computation with Part-Whole Numbers
Contributor(s): Callingham, Rosemary Anne (author); Watson, J (author)
Publication Date: 2004
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Abstract: In this article, data from a study of the mental computation competence of students in grades 3 to 10 are presented. Students responded to mental computation items, presented orally, that included operations applied to fractions, decimals and percents. The data were analysed using Rasch modelling techniques, and a six-level hierarchy of part-whole computation was identified. This hierarchy is described in terms of the three different representations of part-whole reasoning – fraction, decimal, and percent – and is elaborated by a consideration of the likely cognitive demands of the items. Discussion includes reasons for the relative difficulties of the items, performance across grades and directions for future research.
Publication Type: Journal Article
Source of Publication: Mathematics Education Research Journal, 16(2), p. 69-86
Publisher: Mathematics Education Research Group of Australasia
Place of Publication: Melbourne, Australia
ISSN: 1033-2170
Field of Research (FOR): 130303 Education Assessment and Evaluation
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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