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Communicational perspectives on learning and teaching mathematics: prologue

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Abstract

This special issue comprises five studies which vary in their focus and mathematical content, yet they all share an underlying communicational theoretical framework—commognition. Within this framework, learning mathematics is defined as a change in one’s mathematical discourse, that is, in the form of communication known as mathematical. Teaching can be defined as the communicational activity the motive of which is to bring the learners’ discourse closer to a canonic discourse. Reading the five research articles interconnected via their shared theoretical infrastructure has the potential to further develop insights about various aspects of teaching and learning mathematics.

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References

  • Bakhtin, M. (1981). The dialogic imagination: Four essays. Austin: University of Texas Press.

  • Bikner-Ahsbahs, A., & Prediger, S. (Eds.). (2015). Networking of theories as a research practice in mathematics education. Heidelberg: Springer.

    Google Scholar 

  • Engeström, Y. (1987). Learning by expanding: An activity-theoretical approach to developmental research. Helsinki: Orienta-Konsultit Oy.

  • Foucault, M. (1977). Discipline and punish: The birth of prison. London: Tavistock.

  • Gee, J. P. (2001). Identity as an analytic lens for research in education. Review of Research in Education, 25, 99–125.

    Google Scholar 

  • Herbel-Eisenmann, B., & Wagner, D. (2010). Appraising lexical bundles in mathematics classroom discourse. Educational Studies in Mathematics, 75(1), 43–63.

    Article  Google Scholar 

  • Heyd-Metzuyanim, E. (2015). Vicious cycles of identifying and mathematizing: A case study of the development of mathematical failure. Journal of the Learning Sciences, 1–46. doi:10.1080/10508406.2014.999270.

  • Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. New York: Cambridge University Press.

  • Morgan, C. (2006). What does social semiotics have to offer mathematics education research? Educational Studies in Mathematics, 61, 219–245.

    Article  Google Scholar 

  • Nachlieli, T., & Tabach, M. (2012). Growing mathematical objects in the classroom—the case of function. International Journal of Educational Research, 51&52, 10–27.

    Article  Google Scholar 

  • Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge & Kegan Paul.

  • Roth, W. M., & Lee, Y. J. (2007). “Vygotsky’s neglected legacy”: Cultural-historical activity theory. Review of Educational Research, 77(2), 186–232.

  • Roth, W. M., & Radford, L. (2011). A cultural-historical perspective on mathematics teaching and learning. Rotterdam: Sense Publishers.

    Book  Google Scholar 

  • Ryve, A. (2011). Discourse research in mathematics education: A critical evaluation of 108 journal articles. Journal for Research in Mathematics Education, 42(2), 167–199.

  • Sfard, A. (2007). When the rules of discourse change, but nobody tells you: Making sense of mathematics learning from a commognitive standpoint. Journal of Learning Sciences, 16(4), 565–613.

  • Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge: Cambridge University Press.

  • Sfard, A. (ed.) (2012). Developing mathematical discourse - Some insights from communicational research. International Journal of Educational Research, 51&52.

  • Tabach, M., & Nachlieli, T. (2013). Development of mathematical discourse: Insights from “strong” discursive research. Research forum. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th International Conference for the Psychology of Mathematics Education (Vol. 1, pp. 155–180). Kiel: PME.

  • Tabach, M., & Nachlieli, T. (2015). Classroom engagement towards definition mediated identification: The case of functions. Educational Studies in Mathematics, 90(2), 163–187. doi:10.1007/s10649-015-9624-0.

  • Wagner, D., & Herbel-Eisenmann, B. (2009). Re-mythologizing mathematics through attention to classroom positioning. Educational Studies in Mathematics, 72(1), 1–15.

    Article  Google Scholar 

  • Wetherell, M. (2001). Themes in discourse research: The case of Diana. In M. Wetherell, S. Taylor, & S. J. Yates (Eds.), Discourse theory and practice: A reader (pp. 14–28). London: Sage.

  • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477.

    Article  Google Scholar 

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Correspondence to Michal Tabach.

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Tabach, M., Nachlieli, T. Communicational perspectives on learning and teaching mathematics: prologue. Educ Stud Math 91, 299–306 (2016). https://doi.org/10.1007/s10649-015-9638-7

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