Algunas investigaciones sobre argumentación matemática

Referencias

Barwell, R. (2015). Formal and informal mathematical discourses: Bakhtin and Vygotsky, dialogue and dialectic. Educational Studies in Mathematics, doi: 10.1007/s10649-015-9641-z Conner, A., Singletary, L., Smith, R., Wagner, P., & Francisco, R. (2014). Identifying Kinds of Reasoning in Collective Argumentation. Mathematical Thinking and Learning, 16 (3), 181–200. doi: 10.1080/10986065.2014.921131 De Gamboa, G., Planas, N., y Edo, M. (2010). Argumentación matemática: prácticas escritas e interpretaciones. Revista SUMA 64, 35-44. Recuperado de http://pagines.uab.cat/nuria_planas/sites/pagines.uab.cat.nuria_planas/files/SUMA_ArgumentacionMate matica_PROTEGIDO.pdf Goizueta, M., y Planas, N. (2013). Temas emergentes del análisis de interpretaciones del profesorado sobre la argumentación en clase de matemáticas. Enseñanza de las Ciencias 31(1), 61-78. Homero, A. (2007). Esquemas de argumentación en profesores de matemáticas del bachillerato. Educación Matemática 19(1), 63-98. SNN: 1665-5826 Inglis, M., Mejía-Ramos, J., & Simpson, A. (2007). Modelling Mathematical Argumentation: The Importance of Qualification. Educational Studies in Mathematics 66(1), 3-21. doi:10.1007/s10649-0069059-8 Krummheuer, G. (1995). The ethnography of argumentation. In P. Cobb y H. Bauersfeld (Eds.), The emergence of mathematical meaning: Interaction in classroom cultures (pp. 229–269). Hillsdale, NJ: Lawrence Erlbaum Associates. Krummheuer, G. (2007). Argumentation and participation in the primary mathematics classroom. Two episodes and related theoretical abductions. Journal of Mathematical Behavior 26 (1), 60–82. doi:10.1016/j.jmathb.2007.02.001 Martínez, M., & Pedemonte, B. (2014). Relationship between inductive arithmetic argumentation and deductive algebraic proof. Educational Studies in Mathematics 86(1), 125-149. doi:10.1007/s10649-0139530-2 Pedemonte, B. (2007). How can the relationship between argumentation and proof be analysed? Educational Studies in Mathematics 66(1), 23–41. doi:10.1007/s10649-006-9057-x Reid, D., Knipping, C., & Crosby, M. (2011). Refutations and the logic of practice. PNA 6(1), 1-10. Recuperado de http://hdl.handle.net/10481/16011 Toulmin, S. (1958). The uses of argument. Cambridge, England: Cambridge University Press. Toulmin, S. E. (2003). The uses of argument (Updat; 2; 2nd; ed.). Cambridge, U. K: Cambridge University Press. Viholainen, A. (2005). Relationships between informal and formal reasoning in the subject of derivative. In M. Bosch (Ed.), Proceedings of the 4 Congress of European Research in Mathematics Education (pp. 1811–1820). Sant Feliu de Guixols, Spain. Yackel, E. (2002). What we can learn from analyzing the teacher’s role in collective argumentation? Journal of Mathematical Behavior 21(4), 423-440. doi:10.1016/S0732-3123(02)00143-8 Zandieha, M., & Rasmussen, C. (2010). Defining as a mathematical activity: A framework for characterizing progress from informal to more formal ways of reasoning. Journal of Mathematical Behavior 29, 57–75. doi:10.1016/j.jmathb.2010.01.001