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The fundamental cycle of concept construction underlying various theoretical frameworks
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Pegg, John and Tall, David (2005) The fundamental cycle of concept construction underlying various theoretical frameworks. ZDM, Vol.37 (No.6). pp. 468-475. doi:10.1007/BF02655855 ISSN 1863-9690.
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Official URL: http://dx.doi.org/10.1007/BF02655855
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 | ||||
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Subjects: | Q Science > QA Mathematics L Education > L Education (General) |
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Divisions: | Faculty of Social Sciences > Institute of Education ( -2013) | ||||
Library of Congress Subject Headings (LCSH): | Mathematical models, Mathematical notation, Mathematics -- Research | ||||
Journal or Publication Title: | ZDM | ||||
Publisher: | Springer | ||||
ISSN: | 1863-9690 | ||||
Official Date: | December 2005 | ||||
Dates: |
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Volume: | Vol.37 | ||||
Number: | No.6 | ||||
Page Range: | pp. 468-475 | ||||
DOI: | 10.1007/BF02655855 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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