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), 29-34.


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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.

Item Type: Article
ISSNs: 1463-6840 (print)
Related URLs:
Keywords: pedagogy, curriculum, teaching, learning, theory, theoretical, framework, intuition, geometry, intuitive, imagining, manipulating, figures, mathematics, geometric, geometrical, deductive reasoning, proof, school
Subjects: L Education > LB Theory and practice of education > LB2361 Curriculum
L Education > LB Theory and practice of education
L Education > L Education (General)
Divisions : University Structure - Pre August 2011 > School of Education > Professional Practice & Pedagogy
ePrint ID: 41308
Accepted Date and Publication Date:
Date Deposited: 23 Aug 2006
Last Modified: 31 Mar 2016 12:12

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