Abstract
Teaching is a complex endeavor that necessarily requires teachers to attend to some activities and ignore others. This case study focuses on prospective teachers’ learning to notice student mathematical thinking. We frame our view of noticing with the professional noticing framework (Jacobs, Lamb, & Philipp, in Journal for Research in Mathematics Education 41:169–202, 2010), and our view of student mathematical thinking with the MOST analytical framework (Leatham, Peterson, Stockero, & Van Zoest, in Journal for Research in Mathematics Education 46:88–124, 2015). We share evidence that a research experience that focused prospective teachers in a sustained, intense experience focused on articulating student mathematical thinking through focused video analysis influenced their ability to notice in-the-moment student mathematical thinking during their student teaching experience.
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Notes
- 1.
Although there were other parts of the journal, only responses to this prompt were used as data for this study.
- 2.
We note that we were very liberal in our coding. If student teachers mentioned anything that seemed to indicate an intent to facilitate student thinking it was coded as such. We also acknowledge that analyzing journal entries does not allow us to access the full interaction the student teachers may have envisioned.
- 3.
For this section, the parts of the excerpt related to attending will be highlighted by using italic and the parts of the excerpt related to interpreting will be highlighted by using bold.
References
Ball, D. L. (2001). Teaching, with respect to mathematics and student. In T. Wood, B. S. Nelson, & J. Warfield (Eds.), Beyond classical pedagogy: Teaching elementary school mathematics (pp. 11–22). Mahwah, NJ: Erlbaum.
Brodie, K. (2011). Working with learners’ mathematical thinking: Towards a language of description for changing pedagogy. Teaching and Teacher Education, 27, 174–186.
Cochran-Smith, M. (2005). Studying teacher education: What we know and need to know. Journal of Teacher Education, 56, 301–306. doi:10.1177/0022487105280116
Creswell, J. W. (1998). Qualitative inquiry and research design: Choosing among five traditions. Thousand Oaks, CA: SAGE Publications.
Franke, M. L., Webb, N. M., Chan, A. G., Ing, M., Freund, D., & Battey, D. (2009). Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms. Journal of Teacher Education, 60, 380–393.
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, 169–202.
Kersting, N. B., Givvin, K. B., Sotelo, F. L., & Stigler, J. W. (2010). Teachers’ analyses of classroom video predict student learning of mathematics: Further explorations of a novel measure of teacher knowledge. Journal of Teacher Education, 61, 172–181. doi:10.1177/0022487109347875
Leatham, K. R., & Peterson, B. E. (2010). Purposefully designing student teaching to focus on students’ mathematical thinking. In J. Luebeck & J. W. Lott (Eds.), Mathematics teaching: Putting research into practice at all levels (pp. 225–239). San Diego, CA: Association of Mathematics Teacher Educators.
Leatham, K. R., Peterson, B. E., Stockero, S. L., & Van Zoest, L. R. (2015). Conceptualizing mathematically significant pedagogical opportunities to build on student thinking. Journal for Research in Mathematics Education, 46, 88–124.
Leinhardt, G., & Steele, M. D. (2005). Seeing the complexity of standing on the side: Instructional dialogues. Cognition and Instruction, 23, 87–163.
Miller, K. F. (2011). Situation awareness in teaching: What educators can learn from video-based research in other fields. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 51–65). New York, NY: Routledge.
National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (2014). Principles to action: Ensuring mathematical success for all. Reston, VA: Author.
Peterson, B. E., & Leatham, K. R. (2009). Learning to use students’ mathematical thinking to orchestrate a class discussion. In L. Knott (Ed.), The role of mathematics discourse in producing leaders of discourse (pp. 99–128). Charlotte, NC: Information Age Publishing.
Santagata, R., & Angelici, G. (2010). Studying the impact of the lesson analysis framework on preservice teachers’ ability to reflect on videos of classroom teaching. Journal of Teacher Education, 61, 339–349. doi:10.1177/0022487110369555
Santagata, R., Zannoni, C., & Stigler, J. W. (2007). The role of lesson analysis in pre-service teacher education: An empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10, 123–140. doi:10.1007/s10857-007-9029-9
Schifter, D. (2001). Learning to see the invisible: What skills and knowledge are needed to engage with student’s mathematical ideas? In T. Wood, B. S. Nelson, & J. E. Warfield (Eds.), Beyond classical pedagogy: Teaching elementary school mathematics (pp. 109–134). Mahwah, NJ: Lawrence Erlbaum.
Schoenfeld, A. H. (1998). Toward a theory of teaching-in-context. Issues in Education, 4, 1–94.
Sherin, M. G., & Han, S. Y. (2004). Teacher learning in the context of a video club. Teaching and Teacher Education, 20, 163–183. doi:10.1016/J.Tate.2003.08.001
Sherin, B., & Star, J. R. (2011). Reflections on the study of teacher noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 66–78). New York, NY: Routledge.
Sherin, M. G., & van Es, E. A. (2005). Using video to support teachers’ ability to notice classroom interactions. Journal of Technology and Teacher Education, 13, 475–491.
Sportstec. (2013). Studiocode (Version 5). Warriewood, NSW, AU: Studiocode Business Group.
Star, J. R., Lynch, K., & Perova, N. (2011). Using video to improve preservice mathematics teachers’ ability to attend to classroom features: A replication study. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 117–133). New York, NY: Routledge.
Star, J., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teacher Education, 11, 107–125.
Stockero, S. L. (2008). Differences in preservice mathematics teachers’ reflective abilities attributable to use of a video case curriculum. Journal of Technology and Teacher Education, 16, 433–458.
Stockero, S. L. (2014). Transitions in prospective mathematics teacher noticing. In J. J. Lo, K. R. Leatham, & L. R. Van Zoest (Eds.), Research trends in mathematics teacher education (pp. 239–259). Cham, Switzerland: Springer International.
Van Zoest, L. R., Merrill, L., Leatham, K. R., Peterson, B. E., & Stockero, S. L. (2014). MOST coding instruction manual. Unpublished manuscript.
Van Zoest, L. R., Stockero, S. L., & Taylor, C. E. (2012). The durability of professional and sociomathematical norms intentionally fostered in an early pedagogy course. Journal of Mathematics Teacher Education, 15, 293–315. doi:10.1007/s10857-011-9183-y
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Teuscher, D., Leatham, K.R., Peterson, B.E. (2017). From a Framework to a Lens: Learning to Notice Student Mathematical Thinking. In: Schack, E., Fisher, M., Wilhelm, J. (eds) Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-46753-5_3
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