A framework for a comparative study of pre-service elementary teachers’ knowledge of rational numbers

Referencias

Artigue, M. & Winsløw, C. (2010). International comparative studies on mathematics education: a viewpoint from the anthropological theory of didactics. Recherches en Didactique des Mathématiques, 30(1), 47-82. Brousseau, G. (1997). Theory of didactic situations in mathematics. Dordrecht, The Netherlands: Kluwer. Bosch. M. & Gascón, J. (2006). Twenty-five years of the didactic transposition. ICME Bulletin, 58, 51-65. Bosch, M. & Gascón, J. (2014). Introduction to the anthropological theory of the didactic (ATD). In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of Theories as a Research Practice in Mathematics Education (pp. 67-83). Switzerland: Springer International Publishing. Chevallard, Y. (1992). Fundamental concepts in didactics: perspectives provided by an anthropological approach. In R. Douady & A. Mercier (Eds.), Research in Didactique of Mathematics (pp. 131-167). Grenoble, France: La Pensée sauvage. Chevallard, Y. (2006). Steps towards a new epistemology in mathematics education. In M. Bosch (Eds.), Proceedings of the IV Congress of the European Society for Research in Mathematics Education (pp. 21-30). Grenoble, France: La Pensée sauvage. Chevallard, Y. (2007). Readjusting didactics to a changing epistemology. European Educational Research Journal, 6(2), 131-134. Depaepe, F., Torbeyns, J., Vermeersch, N., Janssens, D., Janssen, R., Kelchtermans, G., Verschaffel, L., & Van Dooren, W. (2015). Teachers’ content and pedagogical content knowledge on rational numbers: A comparison of prospective elementary and lower secondary school teachers. Teaching and Techer Education, 47, 82-92. Durand-Guerrier, V., Winsløw, C. & Yoshida, H. (2010). A model of mathematics teacher knowledge and a comparative study in Denmark, France and Japan. Annales de didactique et des sciences cognitives, 15, 147-172. Lai, M. Y. & Murray, S. (2014). What do error patterns tell us about Hong Kong Chinese and Australian students’ understanding of decimal numbers? International Journal for Mathematics Teaching and Learning, 15, 1-32. Li, H. (2014). A comparative analysis of British and Taiwanese students’ conceptual and procedural knowledge of fraction addition. International Journal of Mathematical Education in Science and Technology, 45(7), 968-979. Long, C. T. & DeTemple, D. W. (2002). Mathematical reasoning for elementary teachers (3rd Edition). Pearson Education. Ma, L. (1999). Knowing and teaching elementary mathematics. New Jersey: LEA. Stacey, C., Helma, S., Steinle, V., Baturo, A., Irwin, K. & Bana, J. (2001). Preservice teachers’ knowledge of difficulties in decimal numeration. Journal of Mathematics Teacher Education, 4(3), 205-225. Winsløw, C., Barquero, B., De Vleeschouwer, M. & Hardy, N. (2014). An institutional approach to university mathematics education: from dual vector spaces to questioning the world. Research in Mathematics Education, 16(2), 95-111. Winsløw, C. & Durand-Guerrier, V. (2007). Education of lower secondary mathematics teachers in Denmark and France. Nordic Studies in Mathematics Education, 12(2), 5-3.