Balacheff, N. (1990). Towards a Proble´matique for Research in Mathematics Education. Journal for Research in Mathematics Education, 21(4), 258–272.Behr, M., & Harel, G. (1995). Students’ errors, misconceptions, and conflict in application of procedures. Focus on Learning Problems in Mathematics, 12(3/4), 75–84.Buchbinder, O., & Zaslavsky, O. (2007). How to decide? Students’ ways of determining the validity of mathematical statements. InD. Pita-Fantasy & G. Philippot (Eds.), Proceedings of the 5th Congress of the European Society for Research in Mathematics Education (pp. 561–571), Larnaca: University of Cyprus.Buchbinder, O., & Zaslavsky, O. (2008). Uncertainty: A driving force in creating a need for proving. Accepted to The International Commission on Mathematical Instruction (ICMI), Study 19: Proof and Proving in Mathematics Education.Buchbinder, O., & Zaslavsky, O. (2009). A framework for understanding the status of examples in establishing the validity of mathematical statements. In M. Tzekaki, M. Kaldrimidou, & C. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 225–232). Thessaloniki, Greece.Fischbein, E. (1987). Intuition in science and mathematics: An educational approach. Dordrecht, The Netherlands: Reidel. Fischbein, E., & Kedem, I. (1982). Proof and certitude in the development of mathematical thinking. In A. Vermandel (Ed.), Proceedings of the 6th International Conference of the Psychology of Mathematics Education (pp. 128–131). Antwerp, Belgium.Hadas, N., Hershkowitz, R., & Schwarz, B. B. (2000). The role of contradiction and uncertainty in promoting the need to prove in dynamic geometry environments. Educational Studies in Mathematics, 44(1 & 2), 127–150.Hadass, N., & Hershkowitz, R. (2002). Activity analyses at the service of task design. In Proceedings of the 26th International Conference of the Psychology of Mathematics Education (Vol. 3, pp. 49–56). Norwich, UK: University of East Anglia.Harel, G. (2007). The DNR system as a conceptual framework for curriculum development and instruction. In R. Lesh, J. Kaput, &E. Hamilton (Eds.), Foundations for the future in mathematics education (pp. 263–280). Mahwah, NJ: Lawrence Erlbaum Associates.Harel, G., & Sowder, L. (2007). Toward comprehensive perspectives on the learning and teaching of proof. In F. Lester (Ed.), Second handbook of research on mathematics teaching and leaning. (pp. 805–842). Reston, VA: NCTM, Information Age Pub Inc.
đang được dịch, vui lòng đợi..