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Title: The Fundamental cycle of concept construction underlying various theoretical frameworks
Contributor(s): Pegg, JE (author); Tall, D (author)
Publication Date: 2005
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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.
Publication Type: Journal Article
Source of Publication: ZDM: Zentralblatt fur Didaktik der Mathematik, 37(6), p. 468-475
Publisher: FIZ Karlsruhe, Germany
Place of Publication: Eggenstein-Leopoldshafen, Germany
ISSN: 0044-4103
Field of Research (FOR): 130208 Mathematics and Numeracy Curriculum and Pedagogy
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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