Abstract
Although emerging consensus exists that practice-based approaches to teacher preparation assist in closing the distance between university coursework and fieldwork experiences and in assuring that future teachers learn to implement innovative research-based instructional strategies, little empirical research has investigated teacher learning from this approach. This study examines the impact of a video- and practice-based course on prospective teachers’ mathematics classroom practices and analysis of their own teaching. Two groups of elementary prospective teachers participated in the study—one attended the course and one did not. Findings reveal that the course assisted participants in making student thinking visible and in pursuing it further during instruction and in conducting evidence-based analyses of their own teaching. Conclusions discuss the importance of teaching these skills systematically during teacher preparation.
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Alsawaie, O. N., & Alghazo, I. M. (2010). The effect of video-based approach on prospective teachers’ ability to analyze mathematics teaching. Journal of Mathematics Teacher Education, 13(3), 223–241.
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., Sleep, L., Boerst, T., & Bass, H. (2009). Combining the development of practice and the practice of development in teacher education. Elementary School Journal, 109, 458–476.
Bartell, T. G., Webel, C., Bowen, B., & Dyson, N. (2012). Prospective teacher learning: Recognizing evidence of conceptual understanding. Journal of Mathematics Teacher Education, Published first online on February 7th 2012. doi:10.1007/s10857-012-9205-4.
Blanton, M. L., Berenson, S. B., & Norwood, K. S. (2001). Using classroom discourse to understand a prospective mathematics teacher’s developing practice. Teaching and Teacher Education, 17, 227–242.
Carpenter, T., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (1999). Children’s mathematics: Cognitively guided instruction. Portsmouth, NH: Heinemann.
Cochran-Smith, M., & Lytle, S. L. (2001). Beyond certainty: Taking an inquiry stance on practice. In A. Lieberman & L. Miller (Eds.), Teachers caught in the action: Professional development that matters (pp. 45–58). New York: Teachers College Press.
Feiman-Nemser, S. (2001). From preparation to practice: Designing a continuum to strengthen and sustain teaching. Teachers College Record, 103(6), 1013–1055.
Feiman-Nemser, S., & Buchmann, M. (1985). Pitfalls of experience in teacher preparation. Teachers College Record, 87(1), 53–65.
Fernandez, C., Llinares, S., & Valls, J. (2012). Primary school teachers’ noticing of students’ mathematical thinking in problem solving. The Mathematics Enthusiast, 10(1–2), 441–468.
Franke, M. L., Carpenter, T. P., Levi, L., & Fennema, E. (2001). Capturing teachers’ generative change: A follow-up study of professional development in mathematics. American Educational Research Journal, 38(3), 653–689.
Gallimore, R. (1996). Classrooms are just another cultural activity. In D. Speece & B. Keogh (Eds.), Research on classroom ecologies: Implications for children with learning disability (pp. 229–250). New Jersey: Lawrence Erlbaum.
Ghousseini, H. (2009). Designing opportunities to learn to lead classroom mathematics discussions in pre-service teacher education: Focusing on enactment. In D. Mewborn & H. Lee (Eds.), Scholarly practices and inquiry in the preparation of mathematics teachers (pp. 147–158). San Diego, CA: Association of Mathematics Teacher Educators.
Ghousseini, H., & Sleep, L. (2010). Making practice studyable. ZDM, International Journal on Mathematics Education. Published first on September 25, 2010. doi:10.1007/s11858-010-0280-7.
Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. W. (2009). Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100.
Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., et al. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann.
Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Charlotte, NC: Information Age Publishing.
Hiebert, J., Morris, A. K., Berk, D., & Jansen, A. (2007). Preparing teachers to learn from teaching. Journal of Teacher Education, 58, 47–61.
Hiebert, J., Morris, A. K., & Glass, B. (2003). Learning to learn to teach: An “experiment” model for teaching and teacher preparation in mathematics. Journal of Mathematics Teacher Education, 6, 201–222.
Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a math-talk learning community. Journal for Research in Mathematics Education, 35(2), 81–116.
Hunter, R., & Anthony, G. (2012). Designing opportunities for prospective teachers to facilitate mathematics discussions in classrooms. In J. Dindyal, L. P. Cheng & S. F. Ng (Eds.), Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the mathematics education research group of Australasia (pp. 354–361). Singapore: MERGA © Mathematics Education Research Group of Australasia Inc.
Huppertz, P., Massler, U., & Plötzner, R. (2005). V-share—Video-based analysis and reflection of teaching experiences in virtual groups. Proceedings of the 2005 conference on computer support for collaborative learning: Learning 2005: The next 10 Years! (pp. 232–236). Mahwah, NJ: Lawrence Erlbaum Associates.
Jaworski, B. (2006). Theory and practice in mathematics teaching development: Critical inquiry as a mode of learning in teaching. Journal of Mathematics Teacher Education, 9(2), 187–211.
Jovel, J., Santagata, R., & Yeh, C. (2011). Pre-service teacher development in learning to learn from mathematics teaching. Poster presented at the Research Pre-session of the annual meeting of the National Council of Teachers of Mathematics, Philadelphia, PA.
Kazemi, E., & Hubbard, A. (2008). New directions for the design and study of professional development: Attending to the coevolution of teachers’ participation across contexts. Journal of Teacher Education, 59, 428–441.
Kazemi, E., Lampert, M., & Ghousseini, H. (2007). Conceptualizing and using routines of practice in mathematics teaching to advance professional education. Report to the Spencer Foundation.
Kersting, N., Givvin, K., Thompson, B., Santagata, R., & Stigler, J. (2012). Measuring usable knowledge: Teachers’ analyses of mathematics classroom videos predict teaching quality and student learning. American Education Research Journal, 49, 568–589.
Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61, 21–34.
Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., & Franke, M. (2010). Using designed instructional activities to enable novices to manage ambitious mathematics teaching. In M. K. Stein & L. Kucan (Eds.), Instructional explanations in the disciplines (pp. 129–141). New York: Springer.
Lampert, M., & Graziani, F. (2009). Instructional activities as a tool for teachers’ and teacher educators’ learning in and for practice. Elementary School Journal, 109, 491–509.
Learning Mathematics for Teaching. (2006). A coding rubric for measuring the quality of mathematics in instruction (Technical Report LMT1.06). Ann Arbor, MI: University of Michigan, School of Education.
Leinhardt, G., & Steele, M. D. (2005). Seeing the complexity of standing to the side: Instructional dialogues. Cognition & Instruction, 23(1), 87–163.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis. Thousand Oaks, CA: Sage Publications.
Pang, J. (2011). Case-based pedagogy for prospective teachers to learn how to teach elementary mathematics in Korea. ZDM, 43, 777–789.
Rowland, T. (2008). Researching teachers’ mathematics disciplinary knowledge. In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (pp. 273–298). Rotterdam, NL: Sense Publishers.
Santagata, R., & Angelici, G. (2010). Studying the impact of the lesson analysis framework on pre-service teachers’ ability to reflect on videos of classroom teaching. Journal of Teacher Education, 61(4), 339–349.
Santagata, R., & Barbieri, A. (2005). Mathematics teaching in Italy: A cross-cultural video analysis. Mathematical Thinking and Learning, 7(4), 291–312.
Santagata, R., & Guarino, J. (2011). Using video to teach future teachers to learn from teaching. ZDM The International Journal of Mathematics Education, 43(1), 133–145.
Santagata, R., & Guarino, J. (2012). Preparing future teachers to collaborate. Issues in Teacher Education, 21(1), 59–69.
Santagata, R., & van Es, E. (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., Zanoni, C., & Stigler, J. W. (2007). The role of lesson analysis in preservice teacher education: An empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10(2), 123–140.
Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60, 20–37.
Spitzer, S. M., Phelps, C. M., Beyer, J. E. R., Johnson, D. Y., & Sieminski, E. M. (2010). Developing prospective elementary teachers’ abilities to identify evidence of student mathematical achievement. Journal of Mathematics Teacher Education. Published first on February 11, 2010.
Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teaching Education, 11, 107–125.
Stein, M. K., Smith, M. S., Henningsen, M., & Silver, E. A. (2009). Implementing standards-base mathematics instruction: A casebook for professional development (2nd ed.). New York: Teachers College Press.
Steinberg, R. M., Empson, S. B., & Carpenter, T. P. (2004). Inquiry into children’s mathematical thinking as a means to teacher change. Journal of Mathematics Teacher Education, 7, 237–267.
Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. New York: Free Press.
Stigler, J. W., & Thompson, B. (2009). Thoughts on creating, accumulating, and utilizing shareable knowledge to improve teaching. The Elementary School Journal, 109(5), 442–457.
Stockero, S. L. (2008). Using a video-based curriculum to develop a reflective stance in prospective mathematics teachers. Journal of Mathematic Teaching Education, 11, 373–394.
Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory. Thousand Oaks, CA: Sage Publications.
Turner, F., & Rowland, T. (2008). The Knowledge quartet: A means of developing and deepening mathematical knowledge in teaching. Paper presented at the Mathematical Knowledge in Teaching Seminar Series: Developing and Deepening Mathematical Knowledge in Teaching, Loughborough University, Loughborough. Retrieved on January 30, 2013 at: http://www.maths-ed.org.uk/mkit/MKiT5_Turner&Rowland.pdf.
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.
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Santagata, R., Yeh, C. Learning to teach mathematics and to analyze teaching effectiveness: evidence from a video- and practice-based approach. J Math Teacher Educ 17, 491–514 (2014). https://doi.org/10.1007/s10857-013-9263-2
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DOI: https://doi.org/10.1007/s10857-013-9263-2