Can a proof and a counterexample coexist? Students' conceptions about the relationship between proof and refutation-Reference-Cited by-同舟云学术

Can a proof and a counterexample coexist? Students' conceptions about the relationship between proof and refutation

Published:2010-03 Issue:1 Volume:12 Page:21-36
ISSN:1479-4802
Container-title:Research in Mathematics Education
language:en
Short-container-title:Research in Mathematics Education

Author:

Stylianides Andreas J.,Al-Murani Thabit

Publisher

Informa UK Limited

Subject

General Mathematics,Education

Link

http://www.tandfonline.com/doi/pdf/10.1080/14794800903569774

Reference27 articles.

1. Balacheff , N. 1988 . A study of students' proving processes at the junior high school level In Proceedings of the Second UCSMP International Conference on Mathematics Education I. Wirszup R. Streit , 284 97 . Reston, VA : National Council of Teachers of Mathematics .

2. Ball , D.L. , H. Bass 2003 . Making mathematics reasonable in school In A research companion to principles and standards for school mathematics J. Kilpatrick , W.G. Martin , D. Schifter , 27 44 . Reston, VA : National Council of Teachers of Mathematics .

3. Carpenter, T.P., Franke, M.L. and Levi, L. 2003.Thinking mathematically: Integrating arithmetic & algebra in elementary school, Portsmouth, NH: Heinemann.

4. Proof Practices and Constructs of Advanced Mathematics Students

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