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ONE TEACHER, TWO LESSONS: THE LESSON STUDY PROCESS

  • Naomi RobinsonEmail author
  • Roza Leikin
Article

Abstract

In this paper, we analyze 2 lessons by 1 teacher that took place during a lesson study (LS) cycle for a team of elementary mathematics teachers. We analyze the data on 2 levels: macro-level analysis, dealing with lesson structure and setting; and micro-level analysis, zooming in on mathematical tasks and the quality of whole-class discussion. We analyze teacher participation in LS to identify the main mechanisms leading to changes in teaching observed between the 2 lessons. We argue that collaborative noticing, collaborative awareness, and brainstorming are the core mechanisms of teacher change in the course of LS.

Key words

brainstorming collaborative awareness collaborative noticing lesson quality lesson study mathematical task 

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References

  1. Artzt, A. F. & Armour-Thomas, E. (2002). Becoming a reflective mathematics teacher: A guide for observations and self-assessment. Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar
  2. Boaler, J. (2001). Mathematical modeling and new theories of learning. Teaching Mathematics and its Applications, 20(3), 121–127.CrossRefGoogle Scholar
  3. Cazden, C. B. (2001). Classroom discourse. The language of teaching and learning (2nd ed.). Portsmouth, NH: Heinemann.Google Scholar
  4. Cobb, P. & Bauersfeld, H. (Eds.). (1995). Emergence of mathematical meaning: Interaction in classroom cultures. Hillsdale, NJ: Erlbaum.Google Scholar
  5. Fernandez, C., Cannon, J. & Chokshi, S. (2003). A U.S.–Japan lesson study collaboration reveals critical lenses for examining practice. Teaching and Teacher Education, 19(2), 171–185.CrossRefGoogle Scholar
  6. Goldsmith, L. & Schifter, D. (1997). Understanding teachers in transition: Characteristics of a model for developing in teachers. In E. Fennema & B. S. Nelson (Eds.), Mathematics teachers in transition (pp. 19–54). Mahwah, NJ: Erlbaum.Google Scholar
  7. Goos, M., Galbraith, P. L. & Renshaw, P. (2002). Socially mediated metacognition: Creating collaborative zones of proximal development in small group problem solving. Educational Studies in Mathematics, 49(2), 193–223.CrossRefGoogle Scholar
  8. Harrop, A. & Swinson, J. (2003). Teachers’ questions in the infant, junior and secondary school. Educational Studies, 29(1), 49–57.CrossRefGoogle Scholar
  9. 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.CrossRefGoogle Scholar
  10. Hurd, J. & Licciardo-Musso, L. (2005). Lesson study: Teacher-led professional development in literacy instruction. Language Arts, 82(5), 388–395.Google Scholar
  11. Jaworski, B. (1992). Mathematics teaching: What is it? For the Learning of Mathematics, 12(1), 8–14.Google Scholar
  12. Jaworski, B. (1994). Investigating mathematics teaching: a constructivist enquiry. London: Falmer Press.Google Scholar
  13. Jaworski, B. (1998). Mathematics teacher research: Process, practice, and the development of teaching. Journal of Mathematics Teacher Education, 1, 3–31.CrossRefGoogle Scholar
  14. Jaworski, B. & Gellert, U. (2003). Education new mathematics teachers: Integration theory and practice, and the roles of practicing teachers. In A. J. Bishop, M. A. Clements, D. Brunei, C. Keitel, J. Kilpatrick & F. K. S. Leung (Eds.), The second international handbook of mathematics education (pp. 875–915). Dordrecht, The Netherlands: Kluwer Academic.Google Scholar
  15. Krainer, K. (2001). Teachers’ growth is more than the growth of individual teachers: The case of Gisela. In F.-L. Lin & T. J. Cooney (Eds.), Making sense of mathematics teacher education (pp. 271–293). Dordrecht, The Netherlands: Kluwer Academic.CrossRefGoogle Scholar
  16. Kramarsky, B., Mavarech, Z. R. & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49(2), 225–250.CrossRefGoogle Scholar
  17. Leikin, R. (2006). Learning by teaching: The case of Sieve of Eratosthenes and one elementary school teacher. In R. Zazkis & S. Campbell (Eds.), Number theory in mathematics education: perspectives and prospects (pp. 115–140). Mahwah, NJ: Erlbaum.Google Scholar
  18. Leikin, R. & Rota, S. (2006). Learning through teaching: A case study on the development of a mathematics teacher’s proficiency in managing an inquiry-based classroom. Mathematics Education Research Journal, 18, 44–68.CrossRefGoogle Scholar
  19. Lewis, C. C. (2002a). Lesson study: A handbook of teacher-led instructional change. Philadelphia, PA: Research for Better Schools.Google Scholar
  20. Lewis, C. C. (2002b). Does lesson study have a future in the United States? Nagoya Journal of Education and Human Development, 1, 1–23.Google Scholar
  21. Lewis, C. C. (2005). How do teachers learn during lesson study? In P. Wang-Iverson & M. Yoshida (Eds.), Building our understanding of lesson study (pp. 77–84). Philadelphia: PBS.Google Scholar
  22. Lewis, C., Perry, R., Hurd, J. & O’Connell, P. (2006). Lesson study comes of age in North America. Phi Delta Kappan, 88, 273–281.Google Scholar
  23. Lewis, C., Perry, R. & Hurd, J. (2009). Improving mathematics instruction through lesson study: A theoretical model and North America case. Journal of Mathematics Teacher Education, 12(4), 285–304.CrossRefGoogle Scholar
  24. Lewis, C. C. & Tsuchida, I. (1997). Planned educational change in Japan: The shift to student-centered elementary science. Journal of Educational Policy, 12(5), 313–331.CrossRefGoogle Scholar
  25. Lewis, C.C. & Tsuchida, I. (1998). A lesson is like a swiftly flowing river: Research lessons and the improvement of Japanese education. American Educator, 14–17 & 50–52.Google Scholar
  26. 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.CrossRefGoogle Scholar
  27. Mason, J. (2002). Researching your own practice: The discipline of noticing. London: Routledge-Falmer.Google Scholar
  28. Mason, J. (2010). Attention and instruction in learning about teaching through teaching. In R. Leikin & R. Zazkis (Eds.), Learning through teaching mathematics: development of teachers’ knowledge and expertise in practice (pp. 23–47). New York: Springer.Google Scholar
  29. National Council of Teacher of Mathematics (1991). Professional standards for teaching mathematics. Reston, VA: Author.Google Scholar
  30. Pepin, B. (2002). Different cultures, different meanings, different teaching. In L. Haggarty (Ed.), Teaching mathematics in secondary schools. London: Routledge.Google Scholar
  31. Potari, D. & Jaworski, B. (2002). Tackling complexity in mathematics teaching development: Using the teaching triad as a tool for reflection and analysis. Journal of Mathematics Teacher Education, 5, 351–380.CrossRefGoogle Scholar
  32. Puchner, L. P. & Taylor, A. R. (2006). Lesson study, collaboration and teacher efficacy: Stories from two school-based math lesson study groups. Teaching and Teachers Education, 22, 922–934.CrossRefGoogle Scholar
  33. Sahin, A. & Kulm, G. (2008). Six grade mathematics teachers’ intentions and use of probing, guiding, and factual questions. Journal of Mathematics Teacher Education, 11, 221–241.CrossRefGoogle Scholar
  34. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). New York: McMillan.Google Scholar
  35. Simon, M. A. (1994). Learning mathematics and learning to teach: Learning cycles in mathematics teacher education. Educational Studies in Mathematics, 26, 71–94.CrossRefGoogle Scholar
  36. Simon, M. A. (1997). Developing new models of mathematics teaching: An imperative for research on mathematics teacher development. In E. Fennema & B. Scott-Nelson (Eds.), Mathematics teachers in transition (pp. 55–86). Mahwah, NJ: Erlbaum.Google Scholar
  37. Sowder, J. T. (2007). The mathematical education and development of teachers. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 157–223). Charlotte, NC: NCTM, IAP.Google Scholar
  38. 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.Google Scholar
  39. Wang-Iverson, P. & Yoshida, M. (2005). Building our understanding of lesson study. Philadelphia, PA: Research for Better Schools.Google Scholar
  40. White, A. L. & Southwell, B. (2003). Lesson study project. Evaluation report. Sidney, NSW, Australia: Department of Education and Training.Google Scholar
  41. Yerushalmy, M. & Elikan, S. (2010). Exploring reform ideas for teaching algebra: Analysis of videotaped episodes and of conversation about them. In R. Leikin & R. Zazkis (Eds.), Learning through teaching mathematics: Development of teachers’ knowledge and expertise in practice (pp. 191–207). New York: Springer.Google Scholar
  42. Yoshida, M. (1999). Lesson study: A case study of a Japanese approach to improving instruction through school-based teacher development. Doctoral dissertation. University of Chicago, Chicago, IL.Google Scholar

Copyright information

© National Science Council, Taiwan 2011

Authors and Affiliations

  1. 1.University of HaifaHaifaIsrael
  2. 2.Science Teaching DepartmentWeizmann Institute of ScienceRehovotIsrael

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