Cómo definen los estudiantes para maestro: análisis de sus definiciones de polígono

Referencias

Almodóvar, J. A. y Rodríguez M. G. (2008). Matemáticas 4: Primaria. Proyecto la casa del saber. Madrid: Santillana. Bills, L., Dreyfus, T., Mason, J., Tsamir, P., Watson, A. y Zaslavsky, O. (2006). Exemplification in Mathematics Education. En J. Novotná, H. Moraová, M. Krátká y N. Stehlíková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1 (pp. 126-154). Praga, República Checa: PME. Carrillo, J., Contreras, L. C., Climent, N., Montes, M. A., Escudero-Ávila, D. I. y Flores-Medrano, E. (Coords.) (2016). Didáctica de las Matemáticas para Maestros de Educación Primaria. Madrid: Paraninfo. De Villiers, M. (1998). To teach definitions in geometry or teach to define? En A. Olivier y K. Newstead (Eds.), Proceedings of the 22nd International Conference for the Psychology of Mathematics Education, Vol. 2 (pp. 248-255). Stellenbosch, Sudáfrica: University of Stellenbosch y PME. Edwards, B. y Ward, M. B. (2008). The role of mathematical definitions in mathematics and in undergraduate mathematics courses. En M. P. Carlson y C. Rasmussen (Eds.), Making the Connection: Research and Teaching in Undergraduate Mathematics Education (pp. 223-232). Washington, EE. UU.: Mathematical Association of America. Flick, U. (2007). Introducción a la investigación cualitativa. Madrid: Morata. Freudenthal, H. (1973). Mathematics as an educational task. Dordrecht, Países Bajos: Reidel. Jaworski, B. y Huang, R. (2014). Teachers and didacticians: key stakeholders in the processes of developing mathematics teaching. ZDM, 46(2), 173-188. Krippendorff, K. (1990). Metodología de análisis de contenido. Teoría y práctica. Barcelona: Paidós. Leikin, R. y Winicki-Landman, G. (2000). On equivalent and non equivalent definitions: Part 2. For the Learning of Mathematics, 20(2), 24–29. Morris, C. W. (1938). Foundations of the Theory of Signs. En O. Neurath (Ed.), International Encyclopedia of Unified Science (pp. 1-59). Chicago, EE.UU.: Chicago University Press. Navarro, P. y Díaz, C. (1999). Análisis de contenido. En J. M. Delgado y J. Gutiérrez (Coords.), Métodos y técnicas cualitativas de investigación en ciencias sociales. (pp. 177-224). Madrid: Síntesis. Puig Adam, P. (1968). Curso de Geometría Métrica. Madrid: Euler Editorial. Schubring, G. (2016). Preface to the 2016 Edition. The Notion of Elementary Mathematics. En F. Klein, Elementary Mathematics from an Advanced Standpoint (p. vii). Berlín, Alemania: Springer. Schwab, J. (1978). Education and the structure of the disciplines. En I. Westbury y N. Wilkof (Eds.), Science, Curriculum and Liberal Education: Selected Essays (pp. 229–272). Chicago, EE. UU.: University of Chicago Press. Tall, D. (1991). The psychology of Advanced Mathematical Thinking. En D. Tall (Ed.), Advanced Mathematical Thinking (pp. 3-21). Dordrecht, Países Bajos: Kluwer. Tall, D. y Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151–169. Van Dormolen, J. y Zaslavsky, O. (2003). The many facets of a definition: the case of periodicity. The Journal of Mathematical Behavior, 22(1), 91–106. Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. En D. Tall (Ed.), Advanced Mathematical Thinking (pp. 65-81). Dordrecht, Países Bajos: Kluwer. Zaslavsky, O. y Leikin, R. (2004). Professional development of mathematics teacher educators: growth through practice. Journal of Mathematics Teacher Education, 7(1), 5–32. Zaslavsky, O. y Shir, K. (2005). Students’ conceptions of a mathematical definition. Journal for Research in Mathematics Education, 36(4), 317–346. Zazkis, R. y Leikin, R. (2008). Exemplifying definitions: a case of a square. Educational Studies in Mathematics, 69(2), 131–148.