Pegg, John and Tall, David. (2005) The fundamental cycle of concept construction underlying various theoretical frameworks. ZDM, Vol.37 (No.6). pp. 468-475. ISSN 1863-9690

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Abstract

In this paper, the development of mathematical concepts over time is considered. Particular reference is given to the shifting of attention from step-by-step procedures that are performed in time, to symbolism that can be manipulated as mental entities on paper and in the mind. The development is analysed using different theoretical perspectives, including the SOLO model and various theories of concept construction to reveal a fundamental cycle underlying the building of concepts that features widely in different ways of thinking that occurs throughout mathematical learning.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics L Education > L Education (General)
Divisions:	Faculty of Social Sciences > Institute of Education
Library of Congress Subject Headings (LCSH):	Mathematical models, Mathematical notation, Mathematics -- Research
Journal or Publication Title:	ZDM
Publisher:	Springer
ISSN:	1863-9690
Date:	December 2005
Volume:	Vol.37
Number:	No.6
Page Range:	pp. 468-475
Identification Number:	10.1007/BF02655855
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/478

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