About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry

Yevdokimov, Oleksiy (2006) About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry. In: 4th Congress of the European Society for Research in Mathematics Education, 17-21 Feb 2005, Sant Feliu de Guixols, Spain.

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Abstract

The paper describes processes that might lead secondary school students to produce conjectures in a plane geometry. It highlights relationship between conjecturing and proving. The author attempts to construct a teaching-learning environment proposing activities of observation and exploration of key concepts in geometry favouring the production of conjectures and providing motivation for the successive phase of validation, through refutations and proofs. Supporting didactic materials are built up in a way to introduce production of conjectures as a meaningful activity to students.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author retains copyright.
Depositing User: Dr Oleksiy Yevdokimov
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:23
Last Modified: 02 Jul 2013 22:51
Uncontrolled Keywords: conjecture, proof, constructivist approach, geometry
Fields of Research (FOR2008): 13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
13 Education > 1303 Specialist Studies in Education > 130309 Learning Sciences
13 Education > 1301 Education Systems > 130106 Secondary Education
URI: http://eprints.usq.edu.au/id/eprint/3352

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