Abstract
The challenges facing those who seek to prepare mathematics teachers are well established in the literature. Most of the research to date has focused on the perceptions and understandings of pre-service teachers, but not on the perceptions and understandings of teacher educators. In this study, we explore how four teacher educators understand their pre-service secondary teachers as the pre-service teachers attempt to make sense of teaching through the investigation of a multimedia case study of practice. We found that the teacher educators adopted two different implementation strategies: one strategy tended to be open-ended and exploratory; the other was more focused on the teacher educators' goals of anticipating student understanding and developing mathematical content knowledge for teaching. We also found that, in using the case study, teacher educators elicited pre-service teachers' thinking about the complexities of the teacher's role in small group work, about the value of explicitly revealing the teacher's reflections on the lessons, about the role of planning and preparation, and about the limits of pre-service teachers' abilities to understand and appreciate students' thinking and to extend lesson ideas. Both teacher educators and their pre-service teachers gained perspectives on the role of a teacher's mathematical content knowledge. These results imply that multimedia case studies of practice can serve as vehicles for revealing the knowledge and practice of teacher educators, as they engage in supporting the professional development of pre-service teachers.
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REFERENCES
Barnett, C. (1998). Mathematics case methods project. Journal of Mathematics Teacher Education, 1(3), 349–356.
Barnett, C.S. (1991, September–October). Building a case-based curriculum to enhance the pedagogical content knowledge of mathematics teachers. Journal of Teacher Education, 42(4), 263–272.
Bowers, J., Doerr, H.M., Masingila, J.O. & McClain, K. (1999). Multimedia Case Studies for Teacher Development: Case I: Sneakers [CD-ROM].
Clarke, D. (2000). Time to reflect. Journal of Mathematics Teacher Education, 3(3), 201–203.
Copeland, W.D. & Decker, L.D. (1996). Videocases and the development of meaning making in preservice teachers. Teaching and Teacher Education, 12(5), 467–481.
Doerr, H.M. & English, L.D. (2003). A modeling perspective on students' mathematical reasoning about data. Journal for Research in Mathematics Education, 34(2), 110–136.
Doyle, W. (1990, Winter). Case methods in the education of teachers. Teacher Education Quarterly, 17(1), 7–15.
Feltovich, P.J., Spiro, R.J. & Coulson, R.L. (1997). Issues of expert flexibility in contexts characterized by complexity and change. In P.J. Feltovich, K.M. Ford, & R.R. Hoffman (Eds.), Expertise in Context: Human and Machine (pp. 125–146). Cambridge, MA: AAAI/MIT Press.
Florio-Ruane, S. & Clark, C.M. (1990, Winter). Using case studies to enrich field experiences. Teacher Education Quarterly, 17(1), 17–28.
Geddis, A.N. & Wood, E. (1997). Transforming subject matter and managing dilemmas: A case study in teacher education. Teaching and Teacher Education, 13(6), 611–626.
Harrington, H.L. (1995). Fostering reasoned decisions: Case-based pedagogy and the professional development of teachers. Teaching and Teacher Education, 11(3), 203–214.
Herrington, A., Herrington, J., Sparrow, L. & Oliver, R. (1998). Learning to teach and assess mathematics using multimedia: A teacher development project. Journal of Mathematics Teacher Education, 1, 89–112.
Hudson-Ross, S. & Graham, P. (2000). Going public: Making teacher educators' learning explicit as a model for preservice teachers. Teacher Education Quarterly, 27(4), 5–24.
Jaworski, B. (1994). Investigating Mathematics Teaching: A Constructivist Enquiry. London: Falmer Press.
John, P.D. (2002). The teacher educator's experience: Case studies of practical professional knowledge. Teaching and Teacher Education, 18(3), 323–341.
Kitano, M., Lewis, R. & Lynch, E. (1996). Teaching in a multicultural classroom: Teacher educators' perspectives. Equity & Excellence in Education, 29(3), 70–77.
Kleinfeld, J. (1992). Learning to think like a teacher: The study of cases. In J. Shulman (Ed.), Case Method in Teacher Education (pp. 33–49). New York: Teachers College Press.
Koehler, M.S. & Grouws, D.A. (1992). Mathematics teaching practices and their effects. In D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 115–126). Macmillan, New York.
Kremer-Hayon, L. & Zuzovsky, R. (1995). Themes, processes and trends in the professional development of teacher educators. In T. Russell & F. Korthagen (Eds.), Teachers Who Teach Teachers (pp. 155–172). London: Falmer Press.
Lampert, M. & Ball, D. (1998). Teaching, Multimedia, and Mathematics: Investigations of Real Practice. New York: Teachers College Press.
Lundeberg, M.A. (1987). Metacognitive aspects of reading comprehension: Studying understanding in legal case analysis. Reading Research Quarterly, 22, 407–432.
Lundeberg, M.A. (1999). Discovering teaching and learning through cases. In Lundeberg, M.A., Levin, B.B. & Harrington, H.L. (Eds.), Who Learns What From Cases and How?: The Research Base for Teaching and Learning with Cases (pp. 3–23). Mahwah, NJ: Lawrence Erlbaum Associates.
Lundeberg, M.A., Levin, B.B. & Harrington, H.L. (Eds.). (1999). Who Learns What from Cases and How?: The Research Base for Teaching and Learning with Cases. Mahwah, NJ: Erlbaum.
Masingila, J.O. & Doerr, H.M. (2002). Understanding pre-service teachers' emerging practices through their analyses of a multimedia case study of practice. Journal of Mathematics Teacher Education, 5(3), 235–263.
Merseth, K.K. (1990, Winter). Case studies and teacher education. Teacher Education Quarterly, 17(1), 53–62.
Merseth, K.K. (1991). The Case for Cases in Teacher Education. Washington, DC: American Association of Colleges for Teacher Education.
Merseth, K.K. (1999). A rationale for case-based pedagogy in teacher education. In Lundeberg, M.A., Levin, B.B. & Harrington, H.L. (Eds.), Who Learns What from Cases and How?: The Research Base for Teaching and Learning with Cases (pp. ix–xv). Mahwah, NJ: Lawrence Erlbaum Associates.
Mewborn, D.S. (1999). Reflective thinking among preservice elementary mathematics teachers. Journal for Research in Mathematics Education, 30(3), 316–341.
Moje, E.B. & Wade, S.E. (1997). What case discussions reveal about teacher thinking. Teaching and Teacher Education, 13(7), 691–712.
Onslow, B. & Gadanidis, G. (1997). Mirroring practice: Reflections of a teacher educator. Education Canada, 37, 24–31, 50.
Scardamalia, M. & Bereiter, C. (1990). Conceptions of teaching and approaches to core problems. In M.C. Reynolds (Ed.), Knowledge Base for the Beginning Teacher (pp. 37–46). Oxford: Pergamon Press.
Schön, D.A. (1983). The Reflective Practitioner. New York: Basic Books.
Schön, D.A. (1987). Educating the Reflective Practitioner. San Francisco, CA: Jossey-Bass.
Shulman, J.H. (Ed.). (1992). Case Methods in Teacher Education. New York: Teachers College Press.
Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
Spiro, R.J., Coulson, R.L., Feltovich, P.J. & Anderson, D.K. (1988). Cognitive flexibility theory: Advanced knowledge acquisition in ill-structured domains. Proceedings of the Tenth Annual Conference of the Cognitive Science Society (pp. 375–383). Hillsdale, NJ: Erlbaum.
Strauss, A. & Corbin, J. (1990). Basics of Qualitative Research: Grounded Theory Orocedures and Techniques. London: Sage Publications.
Sykes, G. & Bird, T. (1992). Teacher education and the case idea. In G. Grant (Ed.), Review of Research in Education (Vol. 18, pp. 457–521). Washington, DC: American Educational Research Association.
Tzur, R. (2001). Becoming a mathematics teacher-educator: Conceptualizing the terrain through self-reflective analysis. Journal of Mathematics Teacher Education, 4(4), 259–283.
Wassermann, S. (1993). Getting Down to Cases: Learning to Teach with Case Studies. New York: Teachers College Press.
Wasserman, S. (1994). Using cases to study teaching. Phi Delta Kappan, 75(8), 602–611.
Wheatley, G. (1992). The role of reflection in mathematics. Educational Studies in Mathematics, 23(5), 529–541.
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Doerr, H.M., Thompson, T. Understanding Teacher Educators and Their Pre-Service Teachers through Multi-Media Case Studies of Practice. Journal of Mathematics Teacher Education 7, 175–201 (2004). https://doi.org/10.1023/B:JMTE.0000033048.97096.39
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DOI: https://doi.org/10.1023/B:JMTE.0000033048.97096.39