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What is the object of the encapsulation of a process?
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Tall, David, Thomas, M., Davis, G., Gray, Edward Martin and Simpson, Adrian. (2000) What is the object of the encapsulation of a process? Journal of Mathematical Behavior, Vol.18 (No.2). pp. 223241. ISSN 07323123

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Official URL: http://dx.doi.org/10.1016/S07323123(99)000292
Abstract
Several theories have been proposed to describe the transition from process to object in mathematical thinking. Yet, what is the nature of this ''object'' produced by the ''encapsulation'' of a process? Here, we outline the development of some of the theories (including Piaget, Dienes, Davis, Greeno, Dubinsky, Sfard, Gray, and Tall) and consider the nature of the mental objects (apparently) produced through encapsulation and their role in the wider development of mathematical thinking. Does the same developmental route occur in geometry as in arithmetic and algebra? Is the same development used in axiomatic mathematics? What is the role played by imagery?
Item Type:  Journal Article 

Subjects:  Q Science > QA Mathematics B Philosophy. Psychology. Religion > BF Psychology 
Divisions:  Faculty of Social Sciences > Institute of Education 
Library of Congress Subject Headings (LCSH):  Mathematical ability, Cognitive psychology, Mathematics 
Journal or Publication Title:  Journal of Mathematical Behavior 
Publisher:  Pergamon 
ISSN:  07323123 
Date:  February 2000 
Volume:  Vol.18 
Number:  No.2 
Page Range:  pp. 223241 
Identification Number:  10.1016/S07323123(99)000292 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
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URI:  http://wrap.warwick.ac.uk/id/eprint/471 
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