The University of Southampton
University of Southampton Institutional Repository

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

Abstract

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.

PDF Jones_BSRLM_18_1998.pdf - Other
Download (103kB)

More information

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

Identifiers

Local EPrints ID: 41308
URI: http://eprints.soton.ac.uk/id/eprint/41308
ISSN: 1463-6840
PURE UUID: f7757580-ee9f-4bd7-9586-8ceeb567199e
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

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

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×