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

Paper


Yevdokimov, Oleksiy. 2008. "Making generalisations in geometry: students' views on the process: a case study." Figueras, Olimpia, Cortina, Jose Luis, Alatorre, Silvia, Rojano, Teresa and Sepulveda, Armando (ed.) 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition. Morelia, Mexico 17 - 21 Jul 2008 Morelia, Mexico.
Paper/Presentation Title

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

Presentation TypePaper
Authors
AuthorYevdokimov, Oleksiy
EditorsFigueras, Olimpia, Cortina, Jose Luis, Alatorre, Silvia, Rojano, Teresa and Sepulveda, Armando
Journal or Proceedings TitleProceedings of the 2008 Annual Conference for the Psychology of Mathematics Education (PME 32)
ERA Conference ID50226
Journal Citation4, pp. 441-448
Number of Pages8
Year2008
Place of PublicationMorelia, Mexico
ISBN9789689020066
9786079501303
Web Address (URL) of Paperhttp://core.kmi.open.ac.uk/download/pdf/11038380.pdf
Conference/Event2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition
Annual Conference of the International Group for the Psychology of Mathematics Education
Event Details
2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition
Event Date
17 to end of 21 Jul 2008
Event Location
Morelia, Mexico
Event Details
Annual Conference of the International Group for the Psychology of Mathematics Education
PME
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.

Keywordsgeometry; generalisations; inquiry activities
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
490402. Algebraic and differential geometry
461199. Machine learning not elsewhere classified
Public Notes

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.

Byline AffiliationsDepartment of Mathematics and Computing
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