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Learners’ understanding of the hierarchical classification of quadrilaterals. (English)
Joubert, M. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 28, No. 2. Proceedings of the day conference, Southampton, UK, June 27, 2008 and of the New Researcher’s day conference, Chichester, UK, June 26, 2008. London: British Society for Research into Learning Mathematics (BSRLM). 31-36 (2008).
Summary: The hierarchical classification of quadrilaterals might be regarded as an area of study which would help to promote the development of geometrical thinking. This paper reports our investigations in this topic discussed in our former study (Fujita and Jones, 2007, RME vol. 9). In particular, by synthesising past and current theories in the teaching of geometry (van Hiele’s model, figural concepts, prototype phenomenon etc.), I propose a theoretical model and method to describe learners’ cognitive development of their understanding of hierarchical relations of quadrilaterals. I also consider how the model could be utilised to describe and analyse learners’ understanding of the hierarchical classification of quadrilaterals by using pilot data collected in 2008.
Classification: G43 C33
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