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Theoretical frameworks for the learning of geometrical reasoning

Jones, Keith (1998) Theoretical frameworks for the learning of geometrical reasoning Proceedings of the British Society for Research into Learning Mathematics, 18, (1-2), pp. 29-34.

Record type: Article


With the growth in interest in geometrical ideas it is important to be clear about the nature of geometrical reasoning and how it develops. This paper provides an overview of three theoretical frameworks for the learning of geometrical reasoning: the van Hiele model of thinking in geometry, Fischbein’s theory of figural concepts, and Duval’s cognitive model of geometrical reasoning. Each of these frameworks provides theoretical resources to support research into the development of geometrical reasoning in students and related aspects of visualisation and construction. This overview concludes that much research about the deep process of the development and the learning of visualisation and reasoning is still needed.

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Published date: 1998
Keywords: pedagogy, curriculum, teaching, learning, theory, theoretical, framework, intuition, geometry, intuitive, imagining, manipulating, figures, mathematics, geometric, geometrical, deductive reasoning, proof, school
Organisations: Mathematics, Science & Health Education


Local EPrints ID: 41308
ISSN: 1463-6840
PURE UUID: f7757580-ee9f-4bd7-9586-8ceeb567199e
ORCID for Keith Jones: ORCID iD

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Date deposited: 23 Aug 2006
Last modified: 17 Jul 2017 15:31

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