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ERIC Number: EJ747869
Record Type: Journal
Publication Date: 2004
Pages: 18
Abstractor: Author
Reference Count: 51
ISSN: ISSN-1033-2170
A Developmental Scale of Mental Computation with Part-Whole Numbers
Callingham, Rosemary; Watson, Jane
Mathematics Education Research Journal, v16 n2 p69-86 2004
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. (Contains 2 tables and 3 figures.)
Mathematics Education Research Group of Australasia. MERGA-GPO Box 2747, Adelaide, South Australia 5001, Australia. Web Site:
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Australia