Obstáculos epistemológicos y perspectiva socio-cultural de la matemática

Referencias

Bachelard, G. (1938). La formation de l’esprit scientifique. Paris: VRIN. Bagni, G. T. (2005). The historical roots of the limit notion: Cognitive development and development of representation registers. Canadian Journal of Science, Mathematics and Technology Education, 5(4), 453–468. Bagni, G. T. (2006). Some cognitive difficulties related to the representations of two major concepts of set theory. Educational Studies in Mathematics, 62(3), 259–280. Doi:10.1007/s10649-006-8545-3 Bagni, G. T., & D’Amore, B. (2005). Epistemologia, sociologia, semiotica: la prospettiva socio-culturale. La matematica e la sua didattica, 19(1), 73–89. Balacheff, N. (1988). Le contrat et la coutume: deux registres des interactions didactiques. En C. Laborde (Ed.), Actes du premier colloque francoallemand de didactique des mathématiques et de l’informatique (pp. 15–26). Grenoble: La Pensée Sauvage. Barbin, E. (1994). Sur la conception des savoirs géométriques dans les Éléments de géométrie. Cahiers de didactique des Mathématiques, 14-15, 135–158. (http://smf4.emath.fr/Publications/RevueHistoireMath/20/html/smf_rhm_20_253-302.php) Bauersfeld, H. (1995). “Language game” in the mathematics classroom: Their function and their effects. En P. Cobb & H. Bauersfeld (Eds.), The emergence of meaning: Interaction in classroom cultures (pp. 271–292). Hillsdale NJ: Law-rence Erlbaum Associates. Bernhard, J. (1995). Child development, cultural diversity, and the professional training of early childhood educators. Canadian Journal of Education, 20 (4), 415–436. Brickhouse, N. (1990). Teachers’ beliefs about the nature of science and their relationship to classroom practice. Journal of teacher education, 41(3), 53–62. Brousseau, G. (1976). Les obstacles épistémologiques et les problèmes en mathématiques. En W. Vanhamme & J. Vanhamme (Eds.), La problématique et l’enseignement des mathématiques, Actes de la XXVIIIème rencontre CIEAEM (pp. 101-117). Louvain la Neuve. Brousseau, G. (1983). Les obstacles épistémologiques et les problèmes in mathématiques. Reserches en Didactique des Mathématiques, 4 (2), 165–198. Brousseau, G. (1989). Les obstacles épistémologiques et la didactique des ma-thématiques. En N. Bednarz & C. Garnier (Eds.), Constructions des savoirs, obstacles et conflits (pp. 41–64). Montreal: Agence d’Arc. Castoriadis, C. (1987). The imaginary institution of society. Cambridge, Mass.: The MIT Press. D’Amore, B. (1999). Elementi di didattica della matematica. Bologna: Pitagora. D’Amore, B. (2001a). Une contribution au débat sur les concepts et les objets mathématiques. Scientia Paedagogica Experimentalis, 38(1), 17–46. D’Amore, B. (2001b). Conceptualisation, registres de représentations sémiotiques et noétique: interactions constructivistes dans l’apprentissage des concepts mathématiques et hypothèse sur quelques facteurs inhibant la dévolution. Scientia Paedagogica Experimentalis, 38(2), 143–168. D’Amore, B. (2003a). Matemática em algumas culturas da America do Sul: Uma contribuição à Etnomatemática. Bolema. Boletim de Educação Matemática, 19, 73–89. D’Amore, B. (2003b). Le basi filosofiche, pedagogiche, epistemologiche e concettuali della Didattica della Matematica. Bologna: Pitagora. D’Amore, B. (2003c). The noetic in mathematics. Scientia Pedagogica Experimentalis, 39(1), 75–82. D’Amore, B. (2003d). La complexité de la noétique en mathématiques ou les raisons de la dévolution manquée. For the learning of mathematics, 23(1), 47–51. D’Amore, B. (2003e). La complejidad de la educación y de la construcción del saber. Suma, 43, 23–30. D’Amore, B. (2004). Il ruolo dell’epistemologia nella formazione degli insegnanti di matematica nella scuola secondaria. La matematica e la sua didattica, 18(4), 4–30. D’Amore, B. (2005a). Pratiche e metapratiche nell’attività matematica della classe intesa come società: Alcuni elementi rilevanti della didattica della matematica interpretati in chiave sociologica. La matematica e la sua didattica, 19(3), 325–336. D’Amore, B. (2005b). Secondary school students’ mathematical argumentation and Indian logic (nyaya). For the learning of mathematics, 25(2), 26–32. D’Amore, B., & Fandiño Pinilla, M. I. (2001). Matemática de la cotidianidad. Paradigma, 22(1), 59–72. D’Amore, B., & Fandiño Pinilla, M. I. (2004). Cambi di convinzione in insegnanti di matematica di scuola secondaria superiore in formazione iniziale. La matematica e la sua didattica, 18(3), 27–50. D’Amore, B., & Fandiño Pinilla, M. I. (2005). Storia ed epistemologia della matematica basi etiche. La matematica e la sua didattica, 19(4), 503–515. D’Amore, B., & Godino, J. D. (2006). Punti di vista antropologico ed ontosemiotico in Didattica della Matematica. La matematica e la sua didattica, 20(1), 9–38. D’Amore, B., & Sbaragli, S. (2005). Analisi semantica e didattica dell’idea di “mi sconcezione”. La matematica e la sua didattica, 19(2), 139–163. D’Amore, B., & Speranza, F. (Eds.) (1989). Lo sviluppo storico della matematica: Spunti didattici (Vol. 1). Roma: Armando. D’Amore, B., & Speranza, F. (Eds.) (1992). Lo sviluppo storico della matematica: Spunti didattici (Vol. 2). Roma: Armando. D’Amore, B., & Speranza, F. (Eds.) (1995). La matematica e la sua storia: Alcuni esempi per spunti didattici. Milano: Angeli. de Haan, M. (1999). Learning as a cultural practice. Amsterdam: Thela Thelis. Eco, U. (1975). Trattato di semiotica generale. Milano: Bompiani. Enriques, F. (1942). L’errore nelle matematiche. Periodico di matematiche, serie IV, 22, 57-65. [Bajo el pseudonimo A. Giovannini]. Fauvel, J., & Maanen, J. (2000). History in mathematics education: The ICMI study. Dordrecht-Boston, London: Kluwer. Feyerabend, P. K. (2003). Contro il metodo. Milano: Feltrinelli. (Trabajo original publicado 1975). Furinghetti, F., & Radford, L. (2002). Historical conceptual developments and the teaching of mathematics: From philogenesis and ontogenesis theory to classroom practice. En L. English (Ed.), Handbook of International Research in Mathematics Education (pp. 631–654). Hillsdale: Erlbaum. Gadamer, H.-G. (1975). Truth and method (2nd ed., 1989). New York: Crossroad. Godino, J. D. (2002). Un enfoque ontológico y semiótico de la cognición matemática. Recherches en Didactique des Mathématiques,22(2-3), 237–284. Godino, J. D., & Batanero, C. (1994). Significado institucional y personal de los objetos matemáticos. Recherches en didactiques des mathématiques, 14(3), 325–355. Godino, J. D., & Llinares, S. (2000). El interaccionismo simbólico en educación matemática. Educación Matemática, 12 (1), 70–92. Grugnetti, L., & Rogers, L. (2000). Philosophical, multicultural and interdisciplinary issues. En J. Fauvel & J. van Maanen (Eds.), History in Mathematics Education (pp. 39–62). Dodrecht: Kluwer. Habermas, J. (2003). Truth and justification (trad. B. Fultner). Cambridge, MA: The MIT Press. (Trabajo original publicado 1999). Hardesty, D. (1977). Ecological anthropology. New York: Wiley. Hashweb, M. Z. (1996). Effects of science teachers’ epistemological beliefs in teaching. Journal of Research in Science Teaching, 33(1), 47–63. Ilyenkov, E. (1977). The concept of the ideal. Philosophy in the USSR: Problems of dialectical materialism. Moscow: Progress Publishers. Leontiev, A. A. (1981a). Sign and activity. En J. V. Wertsch (Ed.), The concept of activity in Soviet psychology (pp. 241–255). New York: Sharpe. Leontiev, A. A. (1981b). The problem of activity in psychology. En J. V. Wertsch (Ed.), The concept of activity in Soviet psychology (pp. 37–71). New York: Sharpe. McClain, K., & Cobb P. (1997). An analysis of the teacher’s role in guiding the evolution of sociomathematical norms. En E. Pekhonen (Ed.), Proceedings of the 21st PME International Conference (Vol. 3, pp. 224–231). Lahti: University of Helsinki. Newton, M. (2002). Savage girls and wild boys: A history of feral children. London: Faber & Faber. Piaget, J., & Garcia, R. (1983). Psychogenèse et histoire des sciences. Paris: Flammarion. Perrin-Glorian, M.-J. (1994). Théorie des situations didactiques: naissance, développement, perspectives. En M. Artigue, R. Gras, C. Laborde, & P. Tavignot (Eds.), Vingt ans de didactique des mathématiques en France: Hommage à Guy Brousseau et Gérard Vergnaud (pp. 97–147). Grenoble: La Pensée Sauvage. Radford, L. (1997). On psychology, historical epistemology and the teaching of mathematics: Towards a socio-cultural history of mathematics. For the Learning of Mathematics, 17(1), 26–33. Radford, L. (2003a). On the epistemological limits of language: Mathematical knowledge and social practice in the Renaissance. Educational Studies in Mathematics, 52(2), 123–150. doi: 10.1023/A:1024029808871 Radford, L. (2003b). On culture and mind: A post Vygotskian semiotic perspective, with an example from Greek mathematical thought. En M. Anderson, A. Sáenz-Ludlow, S. Zellweger, & V. Cifarelli (Eds.), Educational Perspectives on Mathematics as Semiosis: From Thinking to Interpreting to Knowing (pp. 49–79). Ottawa: Legas Publishing. Radford, L. (2004b). Syntax and meaning. En M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28 Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 161–166). Norway: Bergen University College. Radford, L. (2006a). The anthropology of meaning. Educational Studies in Mathematics, 61(1-2), 9–65. doi: 10.1007/s10649-006-7136-7 Radford, L. (2006b). The cultural-epistemological condition of the emergence of algebraic symbolism. En S. Kaijser, C. Tzanakis, & F. Furringhetti (Eds.), Proceedings of the 2004 History and Pedagogy of Mathematics Conference & ESU4 (pp. 509-524). Uppsala, Sweden. Recuperado de: http://laurentian.ca/educ/lradford/PUBLIC.HTML Radford, L. (2006c). Semiótica cultural y cognición. En R. Cantoral Uriza, O. Covián Chávez, R. M. Farfán, J. Lezama Andalón, & A. Romo Vázquez (Eds.), Investigaciones sobre enseñanza y aprendizaje de las matemáticas. Un reporte iberoamericano (pp. 669–689). Mexico: Diaz de Santos. Radford, L., Boero, P., & Vasco, C. (2000). Epistemological assumptions framing interpretations of students understanding of mathematics. En J. Fauvel & J. van Maanen (Eds.), History in Mathematics Education (pp. 162–167). Dordrecht: Kluwer. Robertson, I. (1977). Sociobiology. New York: Worth Publishers Inc. Romberg, T. (1988). Necessary ingredients for a theory of mathematics education. En H. G. Steiner & A. Vermandel (Eds.), Foundations and methodology of the discipline Mathematics Education. Proceedings of the 2nd TME (pp. 97–112). Bielefeld, Antwerpen: IDM Publications. Sfard, A., & Prusak, A. (2005). Identity that makes a difference: Substantial learning as closing the gap between actual and designated identities. En H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 37–52). Melbourne: PME. Sierpinska, A., & Lerman, S. (1996). Epistemologies of mathematics and of mathematics education. En A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (pp. 827–876). Dordrecht: Kluwer Academic Publishers. Wartofsky, M. (1979). Models, representation and the scientific understanding. Dordrecht: Reidel. Werner, H. (1948). Comparative psychology of mental development. New York: International University Press. Wittgenstein, L. (1956), Bemerkungen über die Grundlagen der Mathematik. Oxford: Blackwell.