Abstract
As mathematics educators think about teaching that promotes students’ opportunities to learn, attention must be given to the conceptualization of the professional development of teachers and those who teach teachers. In this article, we generalize and expand the instructional triangle to consider different interactions in a variety of teacher development contexts. We have done so by addressing issues of language for models of teachers’ professional development at different levels and by providing examples of situations in which these models can be applied. Through the expansion of our understanding and use of the instructional triangle we can further develop the concept of mathematics teacher development.
References
Ball, D. L. (2004). Discussants’ remarks. In J. Adler (Ed.), Social contexts and practices for promoting teacher learning: Insights from professional development research projects in mathematics and science in South Africa, Portugal and Israel. Symposium conducted at the annual meeting of the American Educational Research Association, San Diego.
Carpenter, T., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (1999). Children’s mathematics: Cognitively guided instruction. Portsmouth, NH: Heinemann.
Carpenter, T., 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(4), 499–532.
Cochran-Smith, M. (2003). Learning and unlearning: The education of teacher educators. Teaching and Teacher Education, 19(1), 5–28. doi:10.1016/S0742-051X(02)00091-4.
Cohen, D., & Ball, D. L. (1999). Instruction, capacity, and improvement (Research Report Series No. RR-43). Philadelphia: University of Pennsylvania, Consortium for Policy Research in Education.
Cohen, D. K., & Ball, D. L. (2001). Making change: Instruction and its improvement. Phi Delta Kappan, 83(1), 73–77.
Herrera, T. A., & Owens, D. T. (2001). The “New New Math”?: Two reform movements in mathematics education. Theory into Practice, 40(2), 84–92. doi:10.1207/s15430421tip4002_2.
Hiebert, J., Stigler, J. W., Jacobs, J. K., Givvin, K. D., Garnier, H., Smith, M., Hollingsworth, H., Manaster, A., Wearve, D., & Galimore, R. (2005). Mathematics teaching in the United States today (and tomorrow): Results from the TIMSS 1999 video study. Educational Evaluation and Policy Analysis 27(2), 111–132. doi:10.3102/01623737027002111.
Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer Press.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.), (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press. Available from National Academy Press Web site: http://www.nap.edu/.
Mumme, J. & Seago, N. (2002). Issues and challenges in facilitating videocases for mathematics professional development. Paper presented at the Annual meeting of the American Education Research Association, New Orleans.
Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.
Simon, M. A., & Blume, G. W. (1994). Building and understanding multiplicative relationships: A study of prospective elementary teachers. Journal for Research in Mathematics Education, 25(5), 472–494. doi:10.2307/749486.
Stein, M. K., Smith, M. S., & Silver, E. A. (1999). The development of professional developers: Learning to assist teachers in new settings in new ways. Harvard Educational Review, 69(3), 237–269.
Acknowledgments
The authors wish to acknowledge Jeremy Kilpatrick, University of Georgia, for comments on earlier drafts of this manuscript. The development of this article came in part from work and discussions within the National Science Foundation supported Center for Proficiency in Teaching Mathematics. The ideas expressed are those of the authors.
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Nipper, K., Sztajn, P. Expanding the instructional triangle: conceptualizing mathematics teacher development. J Math Teacher Educ 11, 333–341 (2008). https://doi.org/10.1007/s10857-008-9082-z
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DOI: https://doi.org/10.1007/s10857-008-9082-z