From Pseudo-Objects in Dynamic Explorations to Proof by Contradiction

Author:

Baccaglini-Frank Anna,Antonini Samuele,Leung Allen,Mariotti Maria Alessandra

Publisher

Springer Science and Business Media LLC

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference34 articles.

1. Antonini, S. (2004). A statement, the contrapositive and the inverse: Intuition and argumentation. In M. Høines & B. Fuglestad (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 47–54). Bergen: Bergen University College.

2. Antonini, S. (2010). A model to analyse argumentations supporting impossibilities in mathematics. In I. M. Pinto & T. Kawasaki (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 153–160). Belo Horizonte: PME.

3. Antonini, S., & Mariotti, M. (2006). Reasoning in an absurd world: Difficulties with proof by contradiction. In J. Novotná, H. Moraová, M. Krátká, & N. Stehliková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 65–72). Prague: Faculty of Education, Charles University.

4. Antonini, S., & Mariotti, M. (2007). Indirect proof: An interpreting model. In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education (pp. 541–550). Larnaca: University of Cyprus/CERME.

5. Antonini, S., & Mariotti, M. (2008). Indirect proof: What is specific to this way of proving? ZDM Mathematics Education, 40(3), 401–412.

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