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A Developmental Scale of Mental Computation with Part-Whole Numbers
journal contribution
posted on 2023-05-16, 15:21 authored by Rosemary CallinghamRosemary Callingham, Jane WatsonJane WatsonIn 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.
History
Publication title
Mathematics Education Research JournalVolume
16Pagination
69-96ISSN
1033-2170Department/School
Faculty of EducationPublisher
MERGAPlace of publication
Sydney, AustraliaRights statement
Copyright 2004 MERGA Inc.Repository Status
- Restricted