Abstract

Developing number and algebra together provide opportunities for searching for patterns, conjecturing, justifying, and generalising mathematical relationships. It allows the focus to be on the process of mathematics and noticing the structure of arithmetic, rather than the product of arriving at a correct answer. Two of the big ideas in mathematics are multiplicative thinking and algebraic reasoning. By noticing the structure of multiplicative situations, students will be in a position to reason algebraically, and the process of reasoning algebraically will allow students to appreciate the value of thinking multiplicatively rather than additively.

Keywords

education, mathematics, process, structure of arithmetic, reasoning algebraically

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Published by The Mathematical Association of Victoria for the 55th annual conference 6-7 December 2018. Designed by Stitch Marketing

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Permission for reproduction of this article in Research Online granted by The Mathematical Association of Victoria.

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