Making generalisations in geometry: students' views on the process: a case study

Yevdokimov, Oleksiy (2008) Making generalisations in geometry: students' views on the process: a case study. In: 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition, 17-21 Jul 2008, Morelia, Mexico.

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Abstract

The paper presents results of the research focused on studying students' abilities to make generalisations in geometry. Students' activities in a classroom have been analysed through the evaluation of their inquiry work on different tasks that required deductive reasoning and non-routine approach to carry out possible generalisations. Cognitive processes regarding to different geometrical structures are described and analysed in detail. The special emphasis has been given to students' obstacles while making generalisations.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. Author retains copyright.
Depositing User: Dr Oleksiy Yevdokimov
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 05 Oct 2009 02:17
Last Modified: 23 Oct 2014 06:05
Uncontrolled Keywords: geometry; generalisations; inquiry activities
Fields of Research (FOR2008): 13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
01 Mathematical Sciences > 0101 Pure Mathematics > 010102 Algebraic and Differential Geometry
17 Psychology and Cognitive Sciences > 1702 Cognitive Sciences > 170203 Knowledge Representation and Machine Learning
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970113 Expanding Knowledge in Education
URI: http://eprints.usq.edu.au/id/eprint/5220

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