Characterizing pivotal teaching moments in beginning mathematics teachers’ practice

Arafeh, S., Smerdon, B., & Snow, S. (2001, April). Learning from teachable moments: Methodological lessons from the secondary analysis of the TIMSS Video Study. Paper presented at the Annual Meeting of the American Educational Research Association, Seattle, WA.

Ball, D. L., & Cohen, D. K. (1999). Developing practice, developing practitioners: Toward a practice-based theory of professional education. In G. Sykes & L. Darling-Hammond (Eds.), Teaching as the learning profession: Handbook of policy and practice (pp. 3–32). San Francisco: Jossey Bass.

Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.

Berliner, D. C. (2001). Learning about and learning from expert teachers. International Journal of Educational Research, 35, 463–482.

Brousseau, G. (1997). Theory of didactical situations in mathematics: Didactique des mathematiques 1970–1990. Dordrecht, The Netherlands: Kluwer.

Cengiz, N., Kline, K., & Grant, T. J. (2011). Extending students’ mathematical thinking during whole-group discussions. Journal of Mathematics Teacher Education, 14, 355–374.

Davies, N., & Walker, K. (2005, July). Learning to notice: One aspect of teachers’ content knowledge in the numeracy classrooms. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce, & A. Roche (Eds.), Building connections: Theory research and practice. Proceedings of the 28th annual conference of the Mathematics Education Research Group of Australia, pp. 273–280. Sydney: MERGA.

Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. R., & Epson, S. B. (1996). A longitudinal study of learning to use children’s thinking in mathematics instruction. Journal for Research in Mathematics Education, 27, 403–434.

Horizon Research, Inc. (2000). Inside the classroom observation and analytic protocol. Chapel Hill, NC: Horizon Research, Inc.

Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking. Journal of Research in Mathematics Education, 41(2), 169–202.

Jaworski, B. (2004, July). Grappling with complexity: Co-learning in inquiry communities in mathematics teaching development. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education. Vol 1, pp. 17–36. Bergen, Norway: Bergen University College.

Learning Mathematics for Teaching Project. (2011). Measuring the mathematical quality of instruction. Journal of Mathematics Teacher Education, 14, 25–47.

Leatham, K. R., Stockero, S. L., Peterson, B. E., & Van Zoest, L. R. (2011, October). Mathematically important pedagogical opportunities. In L. R. Wiest & T. Lamberg (Eds.), Proceedings of the 33rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, pp. 838–845. Reno, NV: University of Nevada, Reno.

Levin, D. M., Hammer, D., & Coffey, J. E. (2009). Novice teachers’ attention to student thinking. Journal of Teacher Education, 60(2), 142–154.

Luft, M., & Bemis, K. A. (1970, March). Video tape techniques for establishing inter-rater reliability. Paper presented at the Annual Meeting of the American Educational Research Association, Minneapolis, MN.

Mason, J. (1998). Enabling teachers to be real teachers: Necessary levels of awareness and structure of attention. Journal of Mathematics Teacher Education, 1, 243–267.

Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). New York: Routledge.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.

Peterson, B. E., & Leatham, K. R. (2009). Learning to use students’ mathematical thinking. In L. Knott (Ed.), The role of mathematics discourse in producing leaders of discourse (pp. 99–128). Charlotte, NC: Information Age.

Remillard, J. T., & Geist, P. K. (2002). Supporting teachers’ professional learning by navigating openings in the curriculum. Journal of Mathematics Teacher Education, 5, 7–34.

Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers’ mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8, 255–281.

Santagata, R., & Guarino, J. (2011). Using video to teach future teachers to learn from teaching. ZDM, 43, 133–145.

Santagata, R., & van Es, E. A. (2010). Disciplined analysis of mathematics teaching as a routine of practice. In J. W. Lott & J. Luebeck (Eds.), AMTE Monograph 7: Mathematics teaching: Putting research into practice at all levels (pp. 109–123). San Diego, CA: Association of Mathematics Teacher Educators.

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(2), 123–140.

Schoenfeld, A. H. (2011). How we think: A theory of goal-oriented decision making and its educational applications. New York: Routledge.

Schön, D. A. (1983). The reflective practitioner: How professionals think in action. New York: Basic Books.

Sherin, M. G. (2002). A balancing act: Developing a discourse community in a mathematics classroom. Journal of Mathematics Teacher Education, 5, 205–233.

Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (Eds.) (2011). Mathematics teacher noticing: Seeing through teachers’ eyes. New York: Routledge.

Silver, E. A., & Stein, M. K. (1996). The QUASAR Project: The “revolution of the possible” in mathematics instructional reform in urban middle schools. Urban Education, 30(4), 476–521.

Simons, D. J. (2000). Attentional capture and inattentional blindness. Trends in Cognitive Science, 4(4), 147–155.

SportsTec. (2010). Studiocode [Computer program]. Camarillo, CA: Vitigal Pty Limited.

Stein, M. K., & Lane, S. (1996). Instructional tasks and the development of student capacity to think and reason: An analysis of the relationship between teaching and learning in a reform mathematics project. Educational Research and Evaluation, 2(1), 50–80.

Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.

Stockero, S. L. (2008). Using a video-based curriculum to develop a reflective stance in prospective mathematics teachers. Journal of Mathematics Teacher Education, 11, 373–394.

Stockero, S. L. & Thomas, E. M. (in press). Transitions in prospective mathematics teacher noticing. In Proceedings of the 34th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Strauss, A., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. Newbury Park, CA: Sage Publications, Inc.

Thompson, C., McCaughan, D., Cullum, N., Sheldon, T., & Raynor, P. (2004). Increasing the visibility of coding decisions in team-based qualitative research in nursing. International Journal of Nursing Studies, 41, 15–20.

van Es, E. A., & Sherin, M. G. (2002). Learning to notice: Scaffolding new teachers’ interpretations of classroom interactions. Journal of Technology and Teacher Education, 10(4), 571–596.

van Es, E. A., & Sherin, M. G. (2008). Mathematics teachers’ “learning to notice” in the context of a video club. Teaching and Teacher Education, 24, 244–276.

Van Zoest, L. R., & Stockero, S. L. (2008). Concentric task sequences: A model for advancing instruction based on student thinking. In F. Arbaugh & P. M. Taylor (Eds.), AMTE Monograph 5: Inquiry into mathematics teacher education (pp. 47–58). San Diego, CA: Association of Mathematics Teacher Educators.

Van Zoest, L. R., Stockero, S. L., & Kratky, J. L. (2010). Beginning mathematics teachers’ purposes for making student thinking public. Research in Mathematics Education, 12(1), 37–52.

Van Zoest, L. R., Stockero, S. L., & Taylor, C. E. (2011). The durability of professional and sociomathematical norms intentionally fostered in an early pedagogy course. Journal of Mathematics Teacher Education. doi: 10.1007/s10857-011-9183-y .

Wagner, S., & Parker, S. (1993). Advancing algebra. In P. S. Wilson (Ed.), Research ideas for the classroom: High school mathematics (pp. 120–139). New York: Macmillan.

Walshaw, M., & Anthony, G. (2008). The teacher’s role in classroom discourse: A review of recent research into mathematics classrooms. Review of Educational Research, 78(3), 516–551.