Making connections among student learning, content, and teaching: Teacher talk paths in elementary mathematics lesson study

Journal for Research in Mathematics Education

Volumn 43, Issue 5, 2012, Pages 616-650

  Murata, Aki ^a   Bofferding, Laura ^b   Pothen, Bindu E ^a   Taylor, Megan W ^c   Wischnia, Sarah ^a  

^a STANFORD UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c SONOMA STATE UNIVERSITY   (United States)

Author keywords

Addition, subtraction; Elementary, k 8; In service teacher education; Problem solving; Professional development; Qualitative methods; Representations, modeling; Teaching practice

Indexed keywords

EID: 84870328119     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.5951/jresematheduc.43.5.0616     Document Type: Article

References (50)

1. Ball, D. (1990). Breaking with experience in learning to teach mathematics: The role of a preservice methods course. For the Learning of Mathematics, 10(2), 10-16.
2. Borko, H. (2004). Professional development and teacher learning: Mapping the terrain. Educational Researcher, 33(8), 3-15. doi:10.3102/0013189X033008003 (Pubitemid 40067301)
3. Borko, H., Davinroy, K. H., Bliem, C. L., & Cumbo, K. B. (2000). Exploring and supporting teacher change: Two third-grade teachers' experiences in a mathematics and literacy staff development project. Elementary School Journal, 100, 273-306. doi:10.1086/499643
4. Borko, H., & Putnam, R. T. (1995). Expanding a teacher's knowledge base: A cognitive psychological perspective on professional development. In T. R. Guskey & M. Huberman (Eds.), Professional development in education: New paradigms and practices (pp. 35-65). New York, NY: Teachers College Press.
5. Brown, S. I., Cooney, T. J., & Jones, D. (1990). Mathematics teacher education. In W. R. Houston (Ed.), M. Huberman, & J. Sikula (Assoc. Eds.), Handbook of research on teacher education (pp. 639-656). New York, NY: Macmillan.
6. Brown, J. S., & Van Lehn, K. S. (1982). Towards a generative theory of "bugs." In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 117-135). Hillsdale, NJ: Erlbaum.
7. Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C-p, & Loef, M. (1989). Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal, 26, 499-531. doi: 10.2307/1162862
8. Carpenter, T. P., Franke, M. L., Jacobs, V. R., Fennema, E., and Empson, S. B. (1998). A longitudinal study of invention and understanding in children's multidigit addition and subtraction. Journal for Research in Mathematics Education, 29, 3-20. doi: 10.2307/749715
9. Chazan, D., & Ball, D. (1999). Beyond being told not to tell. For the Learning of Mathematics, 19(2), 2-10.
10. Chokshi, S., & Fernandez, C. (2004). Challenges to importing Japanese lesson study: Concerns, misconceptions, and nuances. Phi Delta Kappan, 85, 520-525. http://www.kappanmagazine.org (Pubitemid 38397407)
11. Cohen, D. K. (1990). A revolution in one classroom: The case of Mrs. Oublier. Educational Evaluation and Policy Analysis, 12, 311-329. doi:10.3102/01623737012003311
12. Cohen, D. K., & Ball, D. L. (1999, June). Instruction, capacity, and improvement (CPRE Research Report Series RR-43). Philadelphia, PA: University of Pennsylvania, Consortium for Policy Research in Education.
13. Darling-Hammond, L. (2001). The right to learn: The blueprint for creating schools that work. San Francisco, CA: Jossey-Bass.
14. Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103-131. doi: 10.1007/s 10649-006-0400-z (Pubitemid 44116389)
15. Ebby, C. B. (2000). Learning to teach mathematics differently: The interaction between coursework and fieldwork for preservice teachers. Journal of Mathematics Teacher Education, 3, 69-97. doi:10.1023/A: 1009969527157
16. Fernandez, C. (2005). Lesson study: A means for elementary teachers to develop the knowledge of mathematics needed for reform-minded teaching? Mathematical Thinking and Learning, 7, 265-289. doi: 10.1207/s15327833mt10704-1 (Pubitemid 41378921)
17. 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, 171-185. doi:10.1016/S0742-051X (02) 00102-6 (Pubitemid 36224092)
18. Fujita, H., Hashimoto, Y, & Hodgson, B. R. (2004). Proceedings of the Ninth International Congress of Mathematics Education. Norwell, MA: Kluwer. doi:10.1007/l-4020-7910-9
19. Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-275). New York, NY: Macmillan.
20. Fuson, K. C, & Willis, G. B. (1986). First and second graders' performance on compare and equalize word problems. In Psychology of Mathematics Education: Proceedings of the Tenth International Conference (pp. 19-24). London, England: University of London Institute of Education.
21. Houghton Mifflin. (2006). California math. Boston, MA: Author.
22. Ishida, J. (1998, July). An analysis of first grade children's using number sentences in solving word problems. Paper presented at the Sixth International Congress on Mathematical Education, Budapest, Hungary.
23. Kamii, C. (1985). Leading primary education toward excellence: Beyond worksheets and drill. Young Children. 40(6), 3-9.
24. Kennedy, M. (1998, December). Form and substance in inservice teacher education. (Research Monograph No. 13). Madison, WI: National Institute for Science Education.
25. Lampert, M. (2001). Teaching problems and the problems of teaching. New Haven, CT: Yale University Press.
26. Lesh, R., & Harel, G. (2003). Problem solving, modeling, and local conceptual development. Mathematical Thinking and Learning, 5, 157-190. doi:10.1207/S15327833MTL0502&3-03
27. Lewis, C. (2010). A public proving ground for standards-based practice: Why we need it, what it might look like. Education Week, 30(3), 28-30. http://www.edweek.org/ew/articles/2010/09/15/03lewis.h30.html
28. Lewis, C, Perry, R., & Hurd, J. (2004). A deeper look at lesson study. Educational Leadership, 61(5), 18-23. http://www.ascd.org/publications/ educational-leadership. aspx
29. Lewis, C, Perry, R., & Murata, A. (2006). How should research contribute to instructional improvement: The case of lesson study. Educational Researcher, 35(2), 3-14. doi:10.3102/0013189X035003003
30. Lewis, C. C, & Tsuchida, I. (1998). A lesson is like a swiftly flowing river: How research lessons improve Japanese education. American Educator, Winter, 14-17, 50-52. dol:10.11177/136548029900200117
31. Lo, M. L. (2003). Lesson study and its impact on teacher development. ISSP Newsletter, 4-5.
32. Murata, A. (2008). Mathematics teaching and learning as a mediating process: The case of tape diagrams. Mathematical Thinking and Learning, 10, 374-406. doi:10.1080/10986060802291642
33. Murata, A. (2010). Teacher learning with lesson study. In P. Peterson, E. Baker, & B. McGaw (Eds.), International encyclopedia of education (Vol. 7, pp. 575-581). Oxford, England: Elsevier.
34. Murata, A. (2011). Introduction: Conceptual overview of lesson study. In L. C. Hart, A. S. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education: Learning together (pp. 1-12). New York, NY: Springer. doi:10.1007/978-90-481-9941-9
35. Murata, A. (in press). Diversity and high academic expectations without tracking: Inclusively responsive instruction. The Journal of the Learning Sciences.
36. Murata, A., & Kattubadi, S. (2012). Grade 3 students' mathematization through modeling: Situation models and solution models with multi-digit problem solving. The Journal of Mathematical Behavior, 31, 15-28. doi:10.1016/j.mathb. 2011.07.004
37. Murata, A., & Pothen, B. E. (2011). Lesson study in preservice elementary mathematics methods courses: Connecting emerging practice and understanding. In L. C. Hart, A. S. Alston, & A. Murata (Eds.), Lesson study research and practice in mathematics education: Learning together (pp. 103-116). New York, NY: Springer. doi:10.1007/978-90-481-9941-9
38. Murata, A., & Takahashi, A. (2002, April). District-level lesson study: How Japanese teachers improve their teaching of elementary mathematics. Paper presented at the Research Presession of the Annual Conference of the National Council of Teachers of Mathematics, Las Vegas, NV.
39. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
40. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
41. National Research Council. (2001). Adding it up: Helping children learn mathematics (J. Kilpatrick, J. Swafford, & B. Findell, Eds.). Washington, DC: National Academy Press.
42. Ng, S. F., & Lee, K. (2009). The model method: Singapore children's tool for representing and solving algebraic word problems. Journal for Research in Mathematics Education, 40, 282-313. http://www.nctm.org/publications/jrme. aspx
43. Pearson Education. (2008). Investigations in number, data, and space (2nd ed.). Glenview, IL: Author.
44. Ruthven, K., & Goodchild, S. (2008). Linking researching with teaching: Towards synergy of scholarly and craft knowledge. In L. D. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 561-588). New York, NY: Routledge.
45. Stigler, J., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York, NY: Free Press.
46. Suzuki, M. J. (2002, April). Facilitating "intellectual mind" (2)-Hazard from kindergarten classrooms. Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA.
47. Thompson, C, & Hendrickson, A. D. (1983). Verbal addition and subtraction problems: New research focusing on levels of difficulty of the problems and of the related number sentences. Focus on Learning Problems in Mathematics, 5(1), 33-45.
48. 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. doi:10.1016/j.tate.2006.11.005
49. Wineburg, S., & Grossman, P. (1998). Creating a community of learners among high school teachers. Phi Delta Kappan, 79, 350-353. (Pubitemid 128463557)
50. Yoshida, M. (2008). Exploring ideas for a mathematics teacher educator's contribution to lesson study: Towards improving teachers' mathematical content and pedagogical knowledge. In D. Tirosh (Vol. Ed.) & T. Wood (Vol. Ed. & Series Ed.), The international handbook of mathematics teacher education: Vol. 2. Tools and processes in mathematics teacher education (pp. 85-106). Rotterdam, the Netherlands: Sense.