Promoting productive reasoning in the teaching of geometry in lower secondary school: towards a future research agenda

Jones, Keith, Fujita, Taro and Kunimune, Susumu (2012) Promoting productive reasoning in the teaching of geometry in lower secondary school: towards a future research agenda. In Pre-proceedings of the 12th International Congress on Mathematical Education (ICME-12). International Commission on Mathematical Instruction. pp. 2387-2396 .

Record type: Conference or Workshop Item (Paper)

Abstract

In the teaching of geometry an important aim is for students to develop ways of reasoning and proving which means that they can tackle complex problems productively. In this paper we synthesise selected recent studies in the teaching and learning of geometry, focusing on the student age range of 12-15. We do this in order to suggest questions for future research. The issues that we identify focus on issues of mathematical definitions, mathematical representations, and the form of instruction used by teachers. No doubt there are other relevant issues that could be identified; plus there is the likelihood that some or all such issues overlap and interact. Undertaking suitably-designed empirical work is a next step, in conjunction with the development and refinement of suitable theoretical ideas. Building on opportunities for further international research networking would be helpful in taking forward such research on the teaching and learning of geometry.

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Jones-etc_productive_reasoning_geom_ICME12_2012 - Accepted Manuscript

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