Skip to main content
Log in

Expanding the instructional triangle: conceptualizing mathematics teacher development

  • Published:
Journal of Mathematics Teacher Education Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer Press.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kelli Nipper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10857-008-9082-z

Keywords

Navigation