Complex Argumentation in Elementary School

Referencias

Cervantes-Barraza, J. A., & Cabañas-Sánchez, G. C. (2018). Argumentos formales y visuales en argumentaciones colectivas. Educación Matemática, 30(1), 148-168. Conner, M. (2008). Expanded Toulmin diagrams: a tool for investigating complex activity in classrooms. In O. Figueras, J. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.). Proceedings of the International Group for the Psychology of Mathematics Education, Vol 2 (pp. 361-368). México, Morelia. Conner, A. (2017). An application of Habermas’ rationality to the teacher’s actions: Analysis of argumentation in two classrooms. In T. Dooley, V. Durand-Guerrier, & G, Gueudet. (Eds.). Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (pp. 1-8), Dublin, Ireland: ERME. Conner, A., Singletary, L., Smith, R., Wagner, P., & Francisco, R. (2014). Teacher support for collective argumentation: A framework for examining how teachers support students’ engagement in mathematical activities. Educational Studies in Mathematics, 86(2), 401-429. Erkek, Ö., & Bostan, M. (2018). Prospective Middle School Mathematics Teachers’ Global Argumentation Structures. International Journal of Science and Mathematics Education, 17(3), 613-633. https://doi.org/10.1007/s10763-018-9884-0 Gal, H., & Linchevski, L. (2010). To see or not to see: analyzing difficulties in geometry from the perspective of visual perception. Educational Studies in Mathematics, 74(2), 163-183. https://doi.org/10.1007/s10649-010-9232-y Goizueta, M., & Planas, N. (2013). El papel del contexto en la identificación de argumentaciones matemáticas por un grupo de profesores. PNA, 7(4), 155-170. Inglis, M., & Mejía-Ramos, J. P. (2005). La fuerza de la aserción y el poder persuasivo en la argumentación en matemáticas. Revista EMA: Investigación e Innovación en Educación Matemática, 10, 327-352. Kieran, C., Doorman, M., & Ohtani, M. (2015). Frameworks and principles for task design. In A. Watson, & M. Ohtani. (Eds.), Task design in mathematics education: An ICMI study 22 (pp. 19-74). New York: Springer. Knipping, C. (2003). Beweisprozesse in der Unterrichtspraxis–Vergleichende Analysen von Mathematikunterricht in Deutschland und Frankreich. Hildesheim: Franzbecker Verlag. Knipping, C. (2008). A method for revealing structures of argumentations in classroom proving processes. ZDM Mathematics Education, 40(3), 427-441. Knipping, C., & Reid, D. (2015). Reconstructing argumentation structures: A Perspective on proving Processes in Secondary Mathematics Classroom Interactions. In A. Bikner- Ahsbahs, C. Knipping & N. Presmeg (Eds.), Approaches to Qualitative Research in Mathematics Education: Examples of methodology and methods (pp. 75-101). Dordrecht: Springer, doi: 10. 1007/978-94-017-9181-6_4 Krummheuer, G. (1995). The ethnology of argumentation. In P. Cobb and H. Bauersfeld (Eds.). The Emergence of Mathematical Meaning: Interaction in Classroom Cultures. (pp. 229-269). Hillsdale: Erlbaum. Krummheuer, G. (2000). Mathematics Learning in Narrative Classroom Cultures: Studies of Argumentation in Primary Mathematics Education. For the Learning of Mathematics, 20(1), 22-32. Krummheuer, G. (2015). Methods for Reconstructing Processes of Argumentation and Participation in Primary Mathematics Classroom Interaction. In A. Bikner-Ahsbahs, C. Knipping., & N. Presmeg (Eds.), Approaches to Qualitative Research in Mathematics Education: Examples of methodology and methods (pp. 75-101). Dordrecht: Springer. https://doi.org/10. 1007/978-94-017-9181-6_4 Limón, M. (2001). On the cognitive conflict as an instructional strategy for conceptual change: a critical appraisal. Learning and Instruction, 11, 357-380. National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Author. O’Brien, T.C., Shapiro, B.J., & Reali, N.C. (1971). Logical thinking: language and context. Educational Studies in Mathematics 4, 201–219. Pedemonte, B. (2007). How can the relationship between argumentation and proof be analysed? Educational Studies in Mathematics 66(1), 23-41. Ponte, J. P. (2005). Gestão curricular em Matemática. In GTI (Ed.), O professor e o desenvolvimento curricular (pp. 11-34). Lisboa: APM. Potari, D., Zachariades, T., & Zaslavsky, O. (2010). Mathematics teachers’ reasoning for refuting students’ invalid claims. In V. Durand-Guerrier, S. Soury-Lavergne, F. Arzarello (Eds.), Proceedings of the Sixth Congress of European Research in Mathematics Education (pp. 281-290). Lyon, France: CERME 6. Reid, D., & Knipping, C. (2010). Proof in mathematics education: Research, learning and teaching. Rotterdam: Sense. Reid, D., Knipping, C., & Crosby, M. (2011). Refutations and the logic of practice. PNA, 6(1), 1-10. Rumsey, C., & Langrall, C. W. (2016). Promoting mathematical argumentation. Teaching children mathematics, 22(7), 413-419. Smith, M., & Stein, M. (1998). Selecting and creating mathematical tasks: Form research to practice. Mathematics teaching in the middle school, 3(5), 344-350. Solar, H., & Deulofeu, J. (2016) Condiciones para promover el desarrollo de la competencia de argumentación en el aula de matemáticas. Bolema, Rio Claro (SP), 30(56), 1092-1112. Steffe, L. P., & Thompson, P. W. (2000). Teaching experiment methodology: Underlying principles and essential elements. In R. Lesh, & A. E. Kelly (Eds.), Research design in mathematics and science education (pp. 267-307). Hillsdale, NJ: Erlbaum Toulmin, S. (1958/2003). The uses of argument (Updated edition). New York: Cambridge University Press. Whitenack, J., & Yackel, E. (2002). Making Mathematical Arguments in the Primary Grades: The Importance of Explaining and Justifying Ideas. Teaching Children Mathematics, 21, 524-527. Yackel, E. (2002). What We Can Learn from Analyzing the Teacher’s Role in Collective Argumentation. Journal of Mathematical Behavior, 21(4), 423-440. http://doi. org/10.1016/S0732-3123 (02)00143-8.