Cognitive development of proof

Tall, David and Yevdokimov, Oleksiy and Koichu, Boris and Whiteley, Walter and Kondratieva, Margo and Cheng, Ying-Hao (2012) Cognitive development of proof. In: Proof and proving in mathematics education. ICMI Study , 19. Springer, Dordrecht, Germany, pp. 13-49. ISBN 978-94-007-2128-9


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.

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Item Type: Book Chapter (Commonwealth Reporting Category B)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 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.
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited: 12 Apr 2013 03:45
Last Modified: 19 Apr 2017 06:05
Uncontrolled Keywords: mathematics; proof; cognitive development; ICMI 19; mathematical reasoning; mathematics teaching; proving
Fields of Research (2008): 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
17 Psychology and Cognitive Sciences > 1702 Cognitive Sciences > 170299 Cognitive Science not elsewhere classified
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4999 Other mathematical sciences > 499999 Other mathematical sciences not elsewhere classified
39 EDUCATION > 3901 Curriculum and pedagogy > 390109 Mathematics and numeracy curriculum and pedagogy
52 PSYCHOLOGY > 5204 Cognitive and computational psychology > 520401 Cognition
Socio-Economic Objectives (2008): C Society > 93 Education and Training > 9301 Learner and Learning > 930103 Learner Development
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