Cognitive development of proof

Edited book (chapter)

Tall, David, Yevdokimov, Oleksiy, Koichu, Boris, Whiteley, Walter, Kondratieva, Margo and Cheng, Ying-Hao. 2012. "Cognitive development of proof." Hanna, Gila and de Villiers, Michael (ed.) Proof and proving in mathematics education. Dordrecht, Germany. Springer. pp. 13-49
Chapter Title

Cognitive development of proof

Book Chapter CategoryEdited book (chapter)
ERA Publisher ID3337
Book TitleProof and proving in mathematics education
AuthorsTall, David (Author), Yevdokimov, Oleksiy (Author), Koichu, Boris (Author), Whiteley, Walter (Author), Kondratieva, Margo (Author) and Cheng, Ying-Hao (Author)
EditorsHanna, Gila and de Villiers, Michael
Volume19
Page Range13-49
SeriesICMI Study
Chapter Number2
Number of Pages37
Year2012
PublisherSpringer
Place of PublicationDordrecht, Germany
ISBN9789400721289
9789400721296
ISSN1387-6872
Digital Object Identifier (DOI)https://doi.org/10.1007/978-94-007-2129-6_2
Web Address (URL)http://www.springerlink.com/content/978-94-007-2128-9/#section=1083791&page=1&locus=0
Abstract

In this chapter our aim is to seek how individuals develop ideas of proof appropriate for their level of maturity at the time, and how these ideas change in sophistication over the long term, from the young child to the adult user of mathematics and on to the research mathematician.

Keywordsmathematics; proof; cognitive development; ICMI 19; mathematical reasoning; mathematics teaching; proving
ANZSRC Field of Research 2020499999. Other mathematical sciences not elsewhere classified
390109. Mathematics and numeracy curriculum and pedagogy
520401. Cognition
Public Notes

© Springer Science+Business Media B.V. 2012.
No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any
means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

Byline AffiliationsUniversity of Warwick, United Kingdom
Department of Mathematics and Computing
Israel Institute of Technology, Israel
York University, Canada
Memorial University of Newfoundland, Canada
University of Taipei, Taiwan
Institution of OriginUniversity of Southern Queensland
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