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Experiences of problem solving in whole class interactions

  • Jenni Ingram [1] ; Paul A. Riser [1]
    1. [1] University of Oxford

      University of Oxford

      Oxford District, Reino Unido

  • Localización: Avances de investigación en educación matemática: AIEM, ISSN-e 2254-4313, Nº. 16, 2019, págs. 5-21
  • Idioma: inglés
  • DOI: 10.35763/aiem.v0i16.279
  • Títulos paralelos:
    • Experiencias de resolución de problemas en interacciones del grupo clase
  • Enlaces
  • Resumen
    • español

      La resolución de problemas a menudo se considera una parte esencial del aprendizaje matemático.

      En este artículo examinamos las interacciones de toda la clase en torno a los problemas y su resolución, tal como ocurren naturalmente en el aula de matemáticas. Por tanto, examinamos experiencias ordinarias de los estudiantes en la resolución de problemas en sus sesiones habituales de clase. Nuestro análisis muestra cómo los estudiantes participan en una gama muy limitada de acciones de resolución de problemas y que las acciones en las que sí participan son controladas por el maestro. Esto plantea implicaciones acerca de cómo los estudiantes perciben e interpretan resolver problemas en matemáticas.

    • English

      Problem solving is often considered to be an essential part of learning mathematics. In this paper we examine the whole class interactions around problems and problem solving as they naturally occur in mathematics classrooms. Thus, we are examining students’ ordinary experiences of problem solving in their everyday mathematics lessons. Our analysis shows how students’ participate in a very narrow range of problem solving actions and that the actions that they do participate in are controlled by the teacher.

      This raises implications for what students perceive and interpret problem solving to be in mathematics.

  • Referencias bibliográficas
    • Chan, M. C. E., & Clarke, D. (2017). Structured affordances in the use of open-ended tasks to facilitate collaborative problem solving....
    • Cockroft, W. H. (1982). Mathematics counts: Report of the Committee of Inquiry into the Teaching of Mathematics in Schools. London. Retrieved...
    • Coles, A. (2013). On metacognition. For the Learning of Mathematics, 33(1), 21-26.
    • Conner, A. M., Singletary, L. M., Smith, R. C., Wagner, P. A., & Francisco, R. T. (2014). Teacher support for collective argumentation:...
    • Cramer, J. C., & Knipping, C. (2018). Participation in argumentation. In U. Gellert, C. Knipping, & H. Straehler-Pohl (Eds.), Inside...
    • Eckert, A., & Nilsson, P. (2017). Introducing a symbolic interactionist approach on teaching mathematics: The case of revoicing as an...
    • English Department for Education (2013). Mathematics programmes of study : key stage 3 national curriculum in England, (September), 2-9. Retrieved...
    • Erath, K. (2017). Implicit and explicit processes of establishing explaining practices Ambivalent learning opportunities in classroom discourse....
    • Erath, K., Prediger, S., Quasthoff, U., & Heller, V. (2018). Discourse competence as important part of academic language proficiency in...
    • Felmer, P., Pehkonen, E., & Kilpatrick, J. (Eds.). (2016). Posing and solving mathematical problems: Advances and new perspectives. Cham,...
    • Goizueta, M. (2019). Epistemic issues in classroom mathematical activity: There is more to students’ conversations than meets the teacher’s...
    • Goizueta, M., & Planas, N. (2013). Temas emergentes del análisis de interpretaciones del profesorado sobre la argumentación en clase de...
    • Guberman, R., & Leikin, R. (2013). Interesting and difficult mathematical problems: Changing teachers’ views by employing multiple-solution...
    • Herbel-Eisenmann, B., Drake, C., & Cirillo, M. (2009). “Muddying the clear waters”: Teachers’ take-up of the linguistic idea of revoicing....
    • Hodgen, J., Foster, C., & Kuchemann, D. (2017). Improving mathematics in key stages two and three. Retrieved September 2019 from https://educationendowment...
    • Ingram, J. (2018). Moving forward with ethnomethodological approaches to analysing mathematics classroom interactions. ZDM, 50(6), 1065-1075....
    • Ingram, J., Andrews, N., & Pitt, A. (2019). When students offer explanations without the teacher explicitly asking them to. Educational...
    • Kaur, B., & Toh, T. L. (2011). Mathematical problem solving: Linking theory and practice. In O. Zaslavsky & P. Sullivan (Eds.), Constructing...
    • Kim, M., & Roth, W. M. (2018). Dialogical argumentation in elementary science classrooms. Cultural Studies of Science Education, 13(4),...
    • Krummheuer, G. (2007). Argumentation and participation in the primary mathematics classroom. Two episodes and related theoretical abductions....
    • Lee, Y.-A. (2007). Third turn position in teacher talk: Contingency and the work of teaching. Journal of Pragmatics, 39(6), 1204-1230. https://doi.org/...
    • Marton, F., & Tsui, A. B. M. (2004). Classroom discourse and the space of learning. Mahwah, NJ: Lawrence Erlbaum Associates.
    • Mason, J. (2016). When is a problem...? “when” is actually the problem! In P. Felmer, E. Pehkonen, & J. Kilpatrick (Eds.), Posing and...
    • Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically (2nd Ed.). Harlow, England: Pearson. https://doi.org/10.12968/eyed.2013.15.2.18
    • O’Connor, M. C., & Michaels, S. (1993). Aligning academic task and participation status through revoicing: Analysis of a classroom discourse...
    • Pólya, G. (1945). How to solve it. Princeton, NJ: Princeton University Press.
    • Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics. In D. A. Grouws...
    • Schoenfeld, A. H. (1985). Mathematical problem solving. Orlando, FL: Academic Press.
    • Sidnell, J. (2010). Conversation analysis: An introduction. Chichester, England: WileyBlackwell.
    • Sidnell, J., & Stivers, T. (2012). The handbook of conversation analysis. Oxford, England: Wiley-Blackwell.
    • Staples, M. (2007). Supporting whole-class collaborative inquiry in a secondary mathematics classroom. Cognition and Instruction, 25(2-3),...
    • Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for...
    • Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of...
    • Thompson, P. W. (1985). Experience, problem solving, and learning mathematics: Considerations in developing mathematics curricula. In E. A....
    • Whitenack, J. W., & Knipping, N. (2002). Argumentation, instructional design theory and students’ mathematical learning: A case for coordinating...
    • Wood, T. (1988). Patterns of interaction and the culture of mathematics classrooms. In S. Lerman (Ed.), Cultural perspectives on the mathematics...
    • Yackel, E. (2002). What we can learn from analyzing the teacher’s role in collective argumentation. The Journal of Mathematical Behavior,...
    • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics...

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