Deductive and intuitive approaches to solving geometrical problems

Jones, K. (1998) Deductive and intuitive approaches to solving geometrical problems. In, C. Mammana and V. Villani (eds.) Perspectives on the Teaching of Geometry for the 21st Century. Dordrecht, NL, Kluwer, 78-83. (ICMI Study).


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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.

Item Type: Book Section
Additional Information: The pagination of this final proof copy is exactly as it appears in the published version.
ISBNs: 0792349903 (hardback)
9780792349907 (hardback)
Keywords: deductive, deduction, intuitive, intuition, problem solving, geometrical, geometry, teaching, learning, curriculum, pedagogy
Subjects: L Education > LB Theory and practice of education
L Education > LB Theory and practice of education > LB2361 Curriculum
Divisions: University Structure - Pre August 2011 > School of Education > Professional Practice & Pedagogy
Faculty of Social and Human Sciences > Southampton Education School > Mathematics & Science Education
ePrint ID: 41226
Date Deposited: 02 Aug 2006
Last Modified: 28 Dec 2014 19:34

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