Bob's Shoe Store: Modelling Task Implementation and Five Practices for Orchestrating Productive Mathematical Discussions

Authors

  • Tracey Muir Australian Catholic University

Keywords:

mathematics teacher education research, pre-service teachers, challenging tasks, mathematics discussions

Abstract

One of the constant challenges facing the teacher educator is connecting theory with practice in a meaningful way, while operating within the constraints of limited tutorial time and requirements to cover an ever-increasing range of course topics. While pre-service teachers (PSTs) are exposed to a variety of classroom experiences on placement, there is no guarantee that they will observe modelling of mathematical teaching approaches that are advocated in their university courses. This article reports on a teaching activity conducted with a class of second-year undergraduate Bachelor of Education PSTs, who were studying the first mathematics pedagogy unit in their course. During a lesson, the teacher educator modelled how to teach with challenging tasks, and how to incorporate Smith and Stein's Five Practices for Orchestrating Productive Mathematical Discussions into their teaching approach. This teaching account would be of relevance and interest to other teacher educators who are looking to engage their PSTs in authentic classroom experiences to extend and complement practicum experiences.

References

Askew, M., Brown, M., Rhodes, V., Johnson, D., & Wiliam, D. (1997a). Effective teachers of numeracy. King's College.

Chapman, O. (2021). Mathematics teacher educator knowledge for teaching teachers. In M. Goos & K. Beswick (Eds.), The learning and development of mathematics teacher educators (pp. 403–416). Springer. https://doi.org/10.1007/978-3-030-62408-8

Chick, H., & Beswick, K. (2018). Teaching teachers to teach Boris: A framework for mathematics teacher educator pedagogical content knowledge. Journal of Mathematics Teacher Education, 21(5), 475–488. https://doi.org/10.1007/s10857-016-9362-y

Goos, M., & Beswick, K. (2021). Introduction: The learning and development of mathematics teacher educators. In M. Goos & K. Beswick (Eds.), The learning and development of mathematics teacher educators (pp. 403–416). Springer. https://doi.org/10.1007/978-3-030-62408-8.

Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372–400. https://doi.org/10.5951/jresematheduc.39.4.0372

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Lawrence Erlbaum Associates.

Rowland, T., Turner, F., Thwaites, A., & Huckstep, P. (2009). Developing primary mathematics teaching. SAGE Publications.

Russo, J., & Hopkins, S. (2019). Teachers' perceptions of students when observing lessons involving challenging tasks. International Journal of Science and Mathematics Education, 17(4), 759–779. https://doi.org/10.1007/s10763-018-9888-9

NRICH. (2013). Low threshold high ceiling: An introduction. https://nrich.maths.org/10345

Smith, M. S. & Stein, M. K. (2018). 5 practices for orchestrating productive mathematics discussions (2nd ed.). National Council of Teachers of Mathematics, Corwin Mathematics.

Sullivan, P. (2018). Challenging mathematical tasks: Unlocking the potential of all students. Oxford University Press.

Sullivan, P., Bobis, J., Downton, A., Livy, S., McCormick, M., & Russo, J. (2023). Maths sequences for the early years: Challenging children to reason mathematically. Oxford University Press.

Downloads

Published

2024-07-13

Issue

Section

Illustrations of Practice