The value of geometrical constructions: Discovering, reasoning and proving in geometry

Fujita, Taro, Kunimune, Susumu and Jones, Keith (2014) The value of geometrical constructions: Discovering, reasoning and proving in geometry. Oesterle, Susan, Nicol, Cynthia, Liljedahl, Peter and Allan, Darien (eds.) In Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education (PME38 & PME-NA36). vol. 6, International Group for the Psychology of Mathematics Education. p. 75 .

Record type: Conference or Workshop Item (Paper)

Abstract

This short paper outlines a guiding principle that can be used to inform the use of geometrical constructions in ways that foster students’ proving processes (be this with or without technology). With data from two cases from Grade 7 (students aged 12-13 year old), we found that the students, in gradually becoming aware of how they could utilise properties of shapes, made a shift in their reasoning from relying on visual appearances or measurement to reasoning with properties of shapes.

Text

Fujita-etc_geometric_constructions_PME38_2014 - Accepted Manuscript

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Published date: July 2014

Venue - Dates: 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education, University of British Columbia, Vancouver, Canada, 2014-07-15 - 2014-07-20

Keywords: mathematics, education, geometry

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