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Geometrical intuition and the learning and teaching of geometry

Fujita, Taro, Jones, Keith and Yamamoto, Shinya (2004) Geometrical intuition and the learning and teaching of geometry At 10th International Congress on Mathematical Education (ICME10), Topic Study Group 10 (TSG10) on Research and Development in the Teaching and Learning of Geometry, Denmark. 04 - 11 Jul 2004. 7 pp.

Record type: Conference or Workshop Item (Paper)

Abstract

Intuition is often regarded as essential in the learning of geometry, but how such skills might be effectively developed in students remains an open question. This paper reviews the role and importance of geometrical intuition and suggests it involves the skills to create and manipulate geometrical figures in the mind, to see geometrical properties, to relate images to concepts and theorems in geometry, and decide where and how to start when solving problems in geometry. Based on these theoretical considerations, we illustrate a range of student tasks that we argue should contribute to developing students’ geometrical intuition.

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More information

Published date: 2004
Venue - Dates: 10th International Congress on Mathematical Education (ICME10), Topic Study Group 10 (TSG10) on Research and Development in the Teaching and Learning of Geometry, Denmark, 2004-07-04 - 2004-07-11
Keywords: pedagogy, curriculum, teaching, learning, intuition, geometry, Treutlein, Godfrey, intuitive, drawing, measurement, imagining, manipulating, figures, mathematics, Germany, England, geometric, geometrical, textbook, deductive reasoning, proof, Japan, Japanese, school, national curriculum
Organisations: Mathematics, Science & Health Education

Identifiers

Local EPrints ID: 14687
URI: http://eprints.soton.ac.uk/id/eprint/14687
PURE UUID: c518285e-72c0-48fd-8c3e-c7efe19facb9
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 21 Feb 2005
Last modified: 17 Jul 2017 16:54

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