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

Paper


Yevdokimov, Oleksiy. 2006. "About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry." Bosch, Marianna, Perpinan, Marta and Portabella, M. Angels (ed.) 4th Congress of the European Society for Research in Mathematics Education. Sant Feliu de Guixols, Spain 17 - 21 Feb 2005 Barcelona, Spain.
Paper/Presentation Title

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

Presentation TypePaper
Authors
AuthorYevdokimov, Oleksiy
EditorsBosch, Marianna, Perpinan, Marta and Portabella, M. Angels
Journal or Proceedings TitleProceedings of the 4th Congress of the European Society for Research in Mathematics Education
Journal Citation1, pp. 469-477
Number of Pages9
Year2006
Place of PublicationBarcelona, Spain
ISBN8461132823
Web Address (URL) of Paperhttp://cerme4.crm.es/Papers%20definitius/4/Yevdokimov.pdf
Conference/Event4th Congress of the European Society for Research in Mathematics Education
Event Details
4th Congress of the European Society for Research in Mathematics Education
Parent
Congress of the European Society for Research in Mathematics Education
Event Date
17 to end of 21 Feb 2005
Event Location
Sant Feliu de Guixols, Spain
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.

Keywordsconjecture, proof, constructivist approach, geometry
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
390409. Learning sciences
390306. Secondary education
Public Notes

File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsDepartment of Mathematics and Computing
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