Deductive and intuitive approaches to solving geometrical problems
Deductive and intuitive approaches to solving geometrical problems
Approaches to the teaching and learning of a chosen topic in geometry can be located somewhere between what is characterised as the “intuitive” and the “formal”. There seems to be a number of ways of looking at the relationship between these two positions. Utilising an analysis of data from a study of students tackling problems using dynamic geometry software, this paper illustrates how a deductive and an intuitive approach can prove to be mutually reinforcing when solving geometrical problems.
deductive, deduction, intuitive, intuition, problem solving, geometrical, geometry, teaching, learning, curriculum, pedagogy
0792349903
78-83
Kluwer Academic Publishers
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
1998
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Jones, Keith
(1998)
Deductive and intuitive approaches to solving geometrical problems.
In,
Perspectives on the Teaching of Geometry for the 21st Century.
(ICMI Study)
Dordrecht, NL.
Kluwer Academic Publishers, .
Record type:
Book Section
Abstract
Approaches to the teaching and learning of a chosen topic in geometry can be located somewhere between what is characterised as the “intuitive” and the “formal”. There seems to be a number of ways of looking at the relationship between these two positions. Utilising an analysis of data from a study of students tackling problems using dynamic geometry software, this paper illustrates how a deductive and an intuitive approach can prove to be mutually reinforcing when solving geometrical problems.
Text
Jones_deductive_intuitive_approaches_1998.pdf
- Accepted Manuscript
Available under License Other.
More information
Published date: 1998
Additional Information:
The pagination of this final proof copy is exactly as it appears in the published version.
Keywords:
deductive, deduction, intuitive, intuition, problem solving, geometrical, geometry, teaching, learning, curriculum, pedagogy
Organisations:
Mathematics, Science & Health Education
Identifiers
Local EPrints ID: 41226
URI: http://eprints.soton.ac.uk/id/eprint/41226
ISBN: 0792349903
PURE UUID: 35e7db9a-f75c-41d7-9748-a202fa7dac2d
Catalogue record
Date deposited: 02 Aug 2006
Last modified: 19 Mar 2024 17:44
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
