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Journal of Mathematics Teacher Education

, Volume 14, Issue 4, pp 251–267 | Cite as

Process reflection during Japanese lesson study experiences by prospective secondary mathematics teachers

  • Thomas E. RicksEmail author
Article

Abstract

Although potentially powerful for educators, the construct of teacher reflection has become diluted, rendering teacher engagement with meaningful reflection problematic. This article presents a theoretical framework that divides teacher reflection into two broad categories. The first and most common incident reflection occurs as specific incidents or episodes unconnected to future activity. The second process reflection—based on the work of John Dewey and Donald Schön—connects reflective incidents into a cyclic progression that refines ideas through experimental action. I examined the reflective activity of a group of prospective secondary mathematics teachers as they jointly planned a public school lesson to illustrate how incidents of reflection can be refined and linked into more powerful and purposeful progressions of ideas. I conclude with implications for mathematics teacher development.

Keywords

Dewey Incident reflection Lesson study Secondary mathematics Prospective teachers Process reflection Reflection Schön 

Notes

Acknowledgments

Special thanks to Blake E. Peterson, Daniel Siebert, Steven R. Williams, Jeremy Kilpatrick, Patricia S. Wilson, and Denise S. Mewborn. This article is adapted from the author’s master’s thesis under the direction of Blake E. Peterson, Brigham Young University; an earlier version of this article was presented at the Research Pre-session of the Annual Meeting of the National Council of Teachers of Mathematics, Philadelphia, Pennsylvania, April 2004.

References

  1. Ball, D., Lubienski, S., & Mewborn, D. S. (2001). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge. In V. Richardson (Ed.), Handbook of research on teaching mathematics (pp. 433–456). Washington, D.C: American Education Research Association.Google Scholar
  2. Bauersfeld, H. (1995). The structuring of the structures: Development and function of mathematizing as a social practice. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 3–15). Hilsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
  3. Clarke, A. (1995). Professional development in practicum settings: Reflective practice under scrutiny. Teaching & Teacher Education, 11, 243–261.CrossRefGoogle Scholar
  4. Clarke, D. (2000). Time to reflect. Journal of Mathematics Teacher Education, 3, 201–203.CrossRefGoogle Scholar
  5. Cobb, P., Wood, T., & Yackel, E. (1990). Classrooms as learning environments for teachers and researchers. Journal for Research in Mathematics Education, Monograph, 4, 125–146.CrossRefGoogle Scholar
  6. Convery, A. (1998). A teacher’s response to ‘reflection-in-action’. Cambridge Journal of Education, 28, 197–205.CrossRefGoogle Scholar
  7. Cooney, T. J., Shealy, B. E., & Arvold, B. (1998). Conceptualizing belief structures of prospective secondary mathematics teachers. Journal for Research in Mathematics Education, 29, 306–333.CrossRefGoogle Scholar
  8. Dewey, J. (1933). How we think: A restatement of the relation of reflective thinking to the educative process. Boston: Heath.Google Scholar
  9. Dewey, J. (1981/1933). How we think. In J. A. Boydston (Ed.), John Dewey: The later works, 19251953 (Vol. 8, pp. 105–352). Carbondale, IL: Southern Illinois University Press.Google Scholar
  10. Dinkelman, T. (1997). The promise of action research for critically reflective teacher education. Teacher Educator, 32, 250–274.CrossRefGoogle Scholar
  11. 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.Google Scholar
  12. Holliday, B., Cuevas, G. J., McClure, M. S., Carter, J. A., & Marks, D. (2001). Advanced mathematical concepts: Precalculus with applications. Columbus, OH: Glencoe/McGraw–Hill.Google Scholar
  13. Huang, R., & Bao, J. (2006). Towards a model for teacher professional development in China: Introducing keli. Journal of Mathematics Teacher Education, 9, 279–298.CrossRefGoogle Scholar
  14. Lederman, N. G., & Gess-Newsome, J. (1999). Reconceptualizing secondary science teacher education. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 199–213). Dordrecht, Netherlands: Kluwer.Google Scholar
  15. Lewis, C. (2000, April). Lesson study: The core of Japanese professional development. Invited address to the Special Interest Group on Research in Mathematics Education, meeting of the American Educational Research Association, New Orleans.Google Scholar
  16. Lewis, C. C., Takahashi, A., Murata, A., & King E. (2003, April). Developing “the eyes to see students”: Data collection during lesson study. Paper presented at the Research Pre-session of the Annual Meeting of the National Council for Teachers of Mathematics, San Antonio, TX.Google Scholar
  17. Lewis, C. C., & Tsuchida, I. (1998). A lesson is like a swiftly flowing river: How research lessons improve Japanese education. American Educator, 22(4), 12–17, 50–52.Google Scholar
  18. Morine-Dershimer, G., & Kent, T. (1999). The complex nature and sources of teachers’ pedagogical knowledge. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 21–50). Dordrecht, Netherlands: Kluwer.Google Scholar
  19. Nemser, S. F. (1983). Learning to teach. In L. Shulman & G. Sykes (Eds.), Handbook of teaching and policy (pp. 150–170). New York: Longman.Google Scholar
  20. Plummer, J. S. (2002). An analysis of the influence of lesson study on prospective secondary mathematics teachers’ view of self-as mathematics expert. Unpublished master’s thesis, Brigham Young University, Provo, UT.Google Scholar
  21. Plummer, J. S., & Peterson, B. E. (2009). A preservice secondary teacher’s moves to protect her view of herself as a mathematics expert. School Science and Mathematics, 109(5), 247–257.CrossRefGoogle Scholar
  22. Ricks, T. E. (2003). An investigation of reflective processes during lesson study by mathematics prospective teachers. Unpublished master’s thesis, Brigham Young University, Provo, Utah.Google Scholar
  23. Rodgers, C. (2002). Defining reflection: Another look at John Dewey and reflective thinking. Teachers College Record, 104, 842–866.CrossRefGoogle Scholar
  24. Schön, D. A. (1983). The reflective practitioner: How professionals think in action. New York: Basic Books.Google Scholar
  25. Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.Google Scholar
  26. Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.Google Scholar
  27. Stanley, C. (1998). A framework for teacher reflectivity. TESOL-Quarterly, 32(3), 584–591.CrossRefGoogle Scholar
  28. Stigler, J. W., & Hiebert, J. (1999). The teaching gap. New York: Free Press.Google Scholar
  29. Valli, L. (1997). Listening to other voices: A description of teacher reflection in the United States. Peabody Journal of Education, 72(1), 67–88.CrossRefGoogle Scholar
  30. Von Glaserfeld, E. (1991). Abstraction, re-presentation, and reflection: An interpretation of experience and Piaget’s approach. In L. P. Steffe (Ed.), Epistemological foundations of mathematical experience (pp. 45–67). New York: Springer.Google Scholar
  31. Watanabe, T. (2002). Learning from Japanese lesson study. Educational Leadership, 59(6), 36–40.Google Scholar
  32. Wertsch, J. V., & Toma, C. (1995). Discourse and learning in the classroom: A sociocultural approach. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 3–15). Hilsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
  33. Wildman, T. M., & Niles, J. A. (1987). Reflective teachers: Tensions between abstractions and realities. Journal of Teacher Education, 38(4), 25–31.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Louisiana State UniversityBaton RougeUSA

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