Callingham, Rosemary Anne

Watson, J

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.

Mathematics Education Research Journal, 16(2), p. 69-86

2211-050X

1033-2170

https://hdl.handle.net/1959.11/1636

Mathematics Education Research Group of Australasia (MERGA)

A Developmental Scale of Mental Computation with Part-Whole Numbers

Journal Article

Publication