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. 223-241. doi:10.1016/S0732-3123(99)00029-2

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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 ( -2013)
Library of Congress Subject Headings (LCSH):	Mathematical ability, Cognitive psychology, Mathematics
Journal or Publication Title:	Journal of Mathematical Behavior
Publisher:	Pergamon
ISSN:	0732-3123
Official Date:	February 2000
Dates:	Date Event February 2000 ["eprint_fieldopt_dates_date_type_available" not defined]
Volume:	Vol.18
Number:	No.2
Page Range:	pp. 223-241
DOI:	10.1016/S0732-3123(99)00029-2
Status:	Peer Reviewed
Access rights to Published version:	Open Access

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