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Articles

A new angle: a teacher’s transformation of mathematics teaching practice and engagement in quantitative reasoning

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Pages 88-108 | Received 11 Nov 2020, Accepted 27 Jul 2021, Published online: 21 Dec 2021

References

  • Adiredja, A. P. (2019). Anti-deficit narratives: Engaging the politics of research on mathematical sense making. Journal for Research in Mathematics Education, 50(4), 401–435.
  • Au, K. H. (2007). Culturally responsive instruction: Application to multiethnic classrooms. Pedagogies: An International Journal, 2(1), 1–18.
  • Ball, D. L., & Forzani, F. M. (2009). The work of teaching and the challenge for teacher education. Journal of Teacher Education, 60(5), 497–511.
  • Clarke, D., & Hollingsworth, H. (2002). Elaborating a model of teacher professional growth. Teaching and Teacher Education, 18(8), 947–967.
  • Clements, D. H., Battista, M. T., Sarama, J., & Swaminathan, S. (1996). Development of turn and turn measurement concepts in a computer-based instructional unit. Educational Studies in Mathematics, 30(4), 313–337.
  • Clements, D. H., & Burns, B. A. (2000). Students’ development of strategies for turn and angle measure. Educational Studies in Mathematics, 41(1), 31–45.
  • Confrey, J. (1990). Chapter 8: What constructivism implies for teaching. Journal for Research in Mathematics Education. Monograph, 4, 107–210.
  • Crichton, S. E., & Carter, D. (2017). Design thinking and immersive professional learning in teacher education: Cultivating pedagogical empathy. In O. Dreon & D. Polly (Eds.), Teacher education for ethical professional practice in the 21st century (pp. 25–47). Hershey: IGI Global.
  • Hackenberg, A. J. (2010). Mathematical caring relations in action. Journal for Research in Mathematics Education, 41(3), 236–273.
  • Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169–202.
  • Johnson, H. L., Coles, A., & Clarke, D. (2017). Mathematical tasks and the student: Navigating “tensions of intentions” between designers, teachers, and students. ZDM: The International Journal on Mathematics Education. https://link.springer.com/article/10. 1007/s11858-017-0894-0
  • Moschkovich, J. N. (2015). Academic literacy in mathematics for English learners. The Journal of Mathematical Behavior, 40, 43–62.
  • Reinke, L. T. (2020). Contextual problems as conceptual anchors: An illustrative case. Research in Mathematics Education, 22(1), 3–21.
  • Schön, D. A. (1983). The reflective practitioner. New York: Basic Books.
  • Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26(2), 114.
  • Simon, M. A. (2000). Research on mathematics teacher development: The teacher development experiment. In Anthony Edward Kelly & Richard A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 335–359). Mahwah: Lawrence Erlbaum Associates Publishers.
  • Simon, M. A., & Tzur, R. (1999). Explicating the teacher’s perspective from the researchers’ perspectives: Generating accounts of mathematics teachers’ practice. Journal for Research in Mathematics Education, 30(3), 252–264.
  • Simon, M. A., & Tzur, R. (2004). Explicating the role of mathematical tasks in conceptual learning: An elaboration of the hypothetical learning trajectory. Mathematical Thinking and Learning, 6(2), 91–104.
  • Simon, M. A., Tzur, R., Heinz, K., & Kinzel, M. (2004). Explicating a mechanism for conceptual learning: Elaborating the construct of reflective abstraction. Journal for Research in Mathematics Education, 35(5), 305.
  • Steffe, L. P., & Kieren, T. (1994). Radical constructivism and mathematics education. Journal for Research in Mathematics Education, 25(6), 711–733.
  • Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313–340.
  • Teuscher, D., Moore, K. C., & Carlson, M. P. (2016). Decentering: A construct to analyze and explain teacher actions as they relate to student thinking. Journal of Mathematics Teacher Education, 19(5), 433–456.
  • Thompson, P. W. (1994). The development of the concept of speed and its relationship to concepts of rate. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 179–234). Albany: State University of New York Press.
  • Thompson, P. W. (2000). Radical constructivism: Reflections and directions. In L. P. Steffe & P. W. Thompson (Eds.), Radical constructivism in action: Building on the pioneering work of Ernst von Glasersfeld (pp. 291–315). London: Routledge Falmer.
  • Thompson, P. W. (2011). Quantitative reasoning and mathematical modeling. In S. A. Chamberlain & L. Hatfield (Eds.), New perspectives and directions for collaborative research in mathematics education: Papers from a planning conference for wisdome (Vol. 1, pp. 33–56). Laramie: University of Wyoming College of Education.
  • Tzur, R. (2010). How and what might teachers learn through teaching mathematics: Contributions to closing an unspoken gap. In R. Leikin, & R. Zazkis (Eds.), Learning through teaching mathematics: Development of teachers’ knowledge and expertise in practice (pp. 49–67). Heidelberg: Springer Netherlands.
  • Tzur, R., & Clark, M. R. (2006). Riding the mathematical merry-go-round to foster conceptual understanding of angle. Teaching Children Mathematics, 12(8), 388–393.
  • Tzur, R., & Hunt, J. (2015). Iteration: Unit fraction knowledge and the French fry tasks. Teaching Children Mathematics, 22(3), 148–157.
  • Tzur, R., Johnson, H. L., Hodkowski, N. M., Nathenson-Mejia, S., Davis, A., & Gardner, A. (2020). Beyond getting answers: Promoting conceptual understanding of multiplication. Australian Primary, 25(4), 35–40.
  • Uhing, K. (2020). Exploring pedagogical empathy of mathematics graduate student instructors (PhD). The University of Nebraska-Lincoln. https://digitalcommons.unl.edu/mathstudent/101/
  • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458.