Intuition and geometrical problem solving
Intuition and geometrical problem solving
This paper describes a small-scale study of the role of geometrical intuition in the solving of a geometrical problem. The use of the dynamic geometry package Cabri-Géomètre allowed students to explore the problem in a way that suggested an intuitive solution to them. Subsequently, the students justified their solution. This illustrates how a deductive and an intuitive approach can prove to be mutually reinforcing when solving geometrical problems.
mathematics, education, geometry, intuition
112-116
International Commission on Mathematical Instruction
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
September 1995
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Jones, Keith
(1995)
Intuition and geometrical problem solving.
Mammana, Carmelo
(ed.)
In Proceedings of ICMI Study 9 Conference on Perspectives on the Teaching of Geometry for the 21st Century.
International Commission on Mathematical Instruction.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
This paper describes a small-scale study of the role of geometrical intuition in the solving of a geometrical problem. The use of the dynamic geometry package Cabri-Géomètre allowed students to explore the problem in a way that suggested an intuitive solution to them. Subsequently, the students justified their solution. This illustrates how a deductive and an intuitive approach can prove to be mutually reinforcing when solving geometrical problems.
Text
Jones_intuition_geom_problem_solving_1995
- Accepted Manuscript
More information
Published date: September 1995
Venue - Dates:
ICMI Study 9 Conference on Perspectives on the Teaching of Geometry for the 21st Century, University of Catania, Catania, Italy, 1995-09-27 - 1995-10-02
Keywords:
mathematics, education, geometry, intuition
Identifiers
Local EPrints ID: 445768
URI: http://eprints.soton.ac.uk/id/eprint/445768
PURE UUID: fc060899-baaf-43df-9d50-2da651e44881
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Date deposited: 07 Jan 2021 17:33
Last modified: 16 Mar 2024 10:27
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Contributors
Editor:
Carmelo Mammana
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