Probabilidad en el camino de una hormiga: una propuesta de enseñanza con uso de metáforas

Referencias

Acevedo, I. (2005), “Metaphors in mathematics classrooms: Analyzing the dynamic process of teaching and learning to graph function”, en Proc. CERME 4. Recuperado de http://ermeweb.free.fr/CERME4/ Anastasiadou, S. y A. Gagatsis (2007), “Exploring the effects of representations on the learning of statistics in Greek primary school”, en Proc. CERME 5. Recuperado de http://www.mathematik.uni-dortmund.de/~erme/CERME5b/. Araya, R. (2000), La inteligencia matemática, Santiago de Chile, Editorial Univer­sitaria. Batanero, C. (2000), “Controversies around significance tests”, Mathematical Thinking and Learning, vol. 2, núms. 1­2, pp. 75­-98. Bennet, D. J. (1998), Randomness, Nueva York, Cambridge University Press. Brousseau, G. (1998), Théorie des situations didactiques, Grenoble, La pensée sauvage. Cerda­-Morales, G. (2012), “studio discreto del movimiento browniano: Memorias de una hormiga caminante”, Unión, Revista Iberoamericana de Educación Matemática, núm. 32, pp. 157­-164. Dubinsky, E. (1999), “Review of Mathematical Reasoning: Analogies, Metaphors, and Images”, L. D. English (comp.), Notices of the Amer. Math. Soc., vol. 46, núm. 5, pp. 555-­559. Duval, R. (1995), Semiosis et pensée humaine, Berna, Peter Lang. —————————— (1996), “Quel cognitif retenir en didactique des mathématiques?”, Recherche en Didactique des Mathématique, vol. 16, núm. 3, pp. 348­-382. Gal, I. (2005), “Democratic access to probability: Issues of probability literacy”, en G. A. Jones (ed.), Exploring probability in school: Challenges for teaching and learning, Nueva York, Springer, pp. 39-­63. Gardner, H. (2005), Las cinco mentes del futuro: un ensayo educativo, Buenos Aires, Paidós. Johnson, M. y G. Lakoff (2003), Metaphors we live by, Nueva York, The University of Chicago Press. Lakoff, G. y R. Núñez (2000), Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being, Nueva York, Basic Books. Marghetis, T. y R. Núñez (2013), “The motion behind the symbols: A vital role for dynamism in the conceptualization of limits and continuity in expert math­ ematics”, Topics in Cognitive Science, vol. 5, núm. 2, pp. 299-­316. Núñez, R. y W. J. Freeman (2000), Reclaiming cognition: The primacy of action, intention and emotion, Bowling Green, OH, Imprint Academic. Núñez, R. (2000), “Mathematical idea analysis: What embodied cognitive science can say about the human nature of mathematics”, en Proceedings of the 24th International Conference for the Psychology of Mathematics Education, vol. 1, pp. 3­22, Hiroshima, Hiroshima University. Palmquist, R. (2001), “Cognitive style and users’ metaphors for the web: an explor­atory study”, The Journal of Academic Librarianship, vol. 27, núm. 1, pp. 24-­32. Presmeg, N. C. (1997), “Reasoning with Metaphors and Metonymies in Mathematics Learning”, en L. D. English (comp.), Mathematical Reasoning: Analogies, Metaphors, and Images, Mahwah, NJ, Lawrence Erlbaum Associates, pp. 267­-279. Sfard, A. (1994), “Reification as the birth of metaphor”, For the Learning of Mathematics, vol. 14, núm. 1, pp. 44­-55. —————————— (1997), “Commentary: On metaphorical roots of conceptual growth”, en L. D. English (comp.), Mathematical Reasoning: Analogies, Metaphors, and Images, Londres, Lawrence Erlbaum Associates, pp. 339­-371. Soto-­Andrade, J. (2006), “Un monde dans un grain de sable: Métaphores et ana­ logies dans l’apprentissage des mathématiques”, Annales de Didactique et des Sciences Cognitives, vol. 11, pp. 123­-147. —————————— (2007), “La cognición hecha cuerpo florece en metáforas...”, en A. Ibañez y D. Cosmelli (eds.), Nuevos enfoques de la cognición. Redescubriendo la dinámica de la acción, la intención y la intersubjetividad, Santiago de Chile, Universidad Diego Portales, pp. 71-­90. Tall, D. (2005), “A Theory of Mathematical Growth through Embodiment, Symbolism and Proof”, Annales de Didactique et des Sciences Cognitives, vol. 11, pp. 195­-215. Varela, F. J. (1995), “Resonant cell assemblies: a new approach to cognitive functions and neuronal synchrony”, Biological Research, vol. 28, núm. 1, pp. 81-­95. Varela, F., E. Thompson y E. Rosch (1998), The embodied mind: cognitive science and human experience, Cambridge, MIT Press.