About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry
Paper
Paper/Presentation Title | About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry |
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Presentation Type | Paper |
Authors | |
Author | Yevdokimov, Oleksiy |
Editors | Bosch, Marianna, Perpinan, Marta and Portabella, M. Angels |
Journal or Proceedings Title | Proceedings of the 4th Congress of the European Society for Research in Mathematics Education |
Journal Citation | 1, pp. 469-477 |
Number of Pages | 9 |
Year | 2006 |
Place of Publication | Barcelona, Spain |
ISBN | 8461132823 |
Web Address (URL) of Paper | http://cerme4.crm.es/Papers%20definitius/4/Yevdokimov.pdf |
Conference/Event | 4th 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. |
Keywords | conjecture, proof, constructivist approach, geometry |
ANZSRC Field of Research 2020 | 390109. 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 Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/9y6x6/about-a-constructivist-approach-for-stimulating-students-thinking-to-produce-conjectures-and-their-proving-in-active-learning-of-geometry
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