Number combinations and arithmetic structure: Implications for early algebra

Conference item

Warren, Elizabeth Anne. (2003). Number combinations and arithmetic structure: Implications for early algebra. In L. Bragg, C. Campbell and G. Herbert (Ed.). Mathematics Education Research: Innovation; Networkings; Opportunity: Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australia. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 712 - 719
AuthorsWarren, Elizabeth Anne
Abstract

This paper examines the influence certain number combinations have on children’s ability to abstract arithmetic structure. The study replicates an investigation of Israeli and Canadian students, which found that certain number combinations significantly influenced the order in which operations are performed. Seventy-six Australian children participated in the study. The results indicated that, while the number combinations did not significantly influence the order in which the Australian children performed the operations, many exhibited misconceptions that reflected a very procedural approach to mathematics. Implications are drawn for the introduction of mental computation and early algebraic understanding in the early years of schooling.

KeywordsLearning Sciences;--Secondary education
Year2003
PublisherMathematics Education Research Group of Australasia
Web address (URL)https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2003_MERGA_CP.aspx
Open accessOpen access
Journal citation2, pp. 712 - 719
Page range712 - 719
Research GroupSchool of Education
Place of publicationMelbourne, Australia
EditorsL. Bragg, C. Campbell and G. Herbert
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