How do open-ended problems promote indirect argumentation? Conceptual replications in a Japanese secondary school

Author:

Hakamata Ryoto,Uegatani Yusuke,Hayata Toru

Publisher

Elsevier BV

Subject

Applied Mathematics,Education,Mathematics (miscellaneous)

Reference28 articles.

1. Intuitive acceptance of proof by contradiction;Antonini;ZDM Mathematics Education,2019

2. The elements of plane geometry PART I (Corresponding to Euclid Books I.-II.),1903

3. Indirect proof: What is specific to this way of proving;Antonini;ZDM Mathematics Education,2008

4. Antonini, S., 2003. Non-examples and proof by contradiction. In N.A. Pateman, B.J. Dougherty, & J.T. Zilliox (Eds.), Proceedings of the 2003 Joint Meeting of PME and PMENA (Vol. 2, pp. 49–55). Honolulu, Hawaii.

5. Balacheff, N., 2019. Mathematical argumentation as a precursor of mathematical proof. Seminar, Mathematics Education Research Group, Faculty of Education, University of Cambridge. Retrieved June 27, 2022, from 〈https://www.slideshare.net/TheoRifortel/mathematical-argumentation-as-a-precursor-of-mathematical-proof〉.

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