Author: Gierdien, Faaiz

Source: International Journal of Mathematical Education, Volume 40, Number 5, January 2009 , pp. 662-669(8)

Publisher: Taylor and Francis Ltd

Abstract:

This note presents demonstrations of mathematics that emerges when problems are posed with respect to a combined 12 × 12 multiplication table showing multiplier and multiplicand. Through processes such as recognizing and extending patterns, specializing and generalizing particular functional relationships between the diagonal and row sequences are compressed. Insights obtained from the various methods can be used to deepen teachers' and students' understandings of possible ways to bridge arithmetic and algebra.

Keywords: multiplication tables; algebra; generalizing; specializing

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207390802641684

Affiliations: 1: Faculty of Education, Department of Curriculum Studies, Stellenbosch University (SU), Stellenbosch, South Africa

Publication date: 2009-01-01

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