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A Developmental Scale of Mental Computation with Part-Whole Numbers


Callingham, RA and Watson, JM, A Developmental Scale of Mental Computation with Part-Whole Numbers, Mathematics Education Research Journal, 16, (2) pp. 69-96. ISSN 1033-2170 (2004) [Refereed Article]

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Copyright 2004 MERGA Inc.

DOI: doi:10.1007/BF03217396


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.

Item Details

Item Type:Refereed Article
Research Division:Education
Research Group:Curriculum and pedagogy
Research Field:Mathematics and numeracy curriculum and pedagogy
Objective Division:Education and Training
Objective Group:Other education and training
Objective Field:Other education and training not elsewhere classified
UTAS Author:Callingham, RA (Associate Professor Rosemary Callingham)
UTAS Author:Watson, JM (Professor Jane Watson)
ID Code:30934
Year Published:2004
Deposited By:Education
Deposited On:2004-08-01
Last Modified:2012-03-01
Downloads:6 View Download Statistics

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