Skip to main content

Mathematics Teachers’ Beliefs and Experiences with Innovative Curriculum Materials

The Role of Curriculum in Teacher Development

  • Chapter
Beliefs: A Hidden Variable in Mathematics Education?

Part of the book series: Mathematics Education Library ((MELI,volume 31))

Abstract

This chapter draws attention to the educative potential of teachers’ experiences with the curriculum materials that have been developed in the context of recent efforts to improve K-12 mathematics education in the United States. Examples from two different professional development settings illustrate how teachers’ beliefs can change on the basis of experiences with these innovative curriculum materials. Discussion of these examples suggests the need for greater attention to teachers’ beliefs about mathematics curriculum.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ball, D. L. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93, 373–397.

    Article  Google Scholar 

  • Ball, D. L. (1994, November). Developing Mathematics Reform: What Don’t We Know About Teacher Learning — But Would Make Good Hypotheses? Paper presented at the conference Teacher Enhancement in Mathematics K-6, National Science Foundation, Washington D. C.

    Google Scholar 

  • Ball, D. L., & Cohen, D. K. (1996). Reform by the book: What is — or might be — the role of curriculum materials in teacher learning and instructional reform? Educational Researcher, 25(9), 6–8, 14.

    Google Scholar 

  • Battista, M. T. (1994). Teacher beliefs and the reform movement in mathematics education. Phi Delta Kappan, 75, 462–470.

    Google Scholar 

  • Brophy, J. E. (Ed). (1991). Advances in research on teaching: Teachers’ knowledge of subject matter as it relates to their teaching practice Vol. 2. Greenwich, CT: JAI.

    Google Scholar 

  • Bush, W. S. (1986). Preservice teachers’ sources of decisions in teaching secondary mathematics. Journal for Research in Mathematics Education, 17(1), 21–30.

    Google Scholar 

  • Cobb, P. (1995). Where is the mind? Constructivist and sociocultural perspectives on mathematical development. Educational Researcher, 23(7), 13–20.

    Google Scholar 

  • Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom mathematics traditions: An interactional analysis. American Educational Research Journal, 29, 573–604.

    Google Scholar 

  • Cohen, D. K. (1990). A revolution in one classroom: The case of Mrs. Oublier. Educational Evaluation and Policy Analysis, 12(3), 327–345.

    Google Scholar 

  • Cooney, T. J. (1988). The issue of reform: What have we learned from yesteryear. Mathematics Teacher, 81, 352–363.

    Google Scholar 

  • Cooney, T. J. (1994). Research and teacher education. Journal for Research in Mathematics Education, 25, 608–636.

    Google Scholar 

  • Davenport, L. R., & Sassi, A. (1995). Transforming mathematics teaching in grades k-8: How narrative structures in resource materials help support teacher change. In B. S. Nelson (Ed.), Inquiry and the development of teaching (pp. 37–46). Newton, MA: Education Development Center

    Google Scholar 

  • Davis, R. B., & Maher, C. A. (1990). The nature of mathematics: What do we do when we ‘do’ mathematics? In R. B. Davis, C. A. Maher, and N. Noddings (Eds.), Constructivist views on the teaching and learning of mathematics. Journal for Research in Mathematics Education, Monograph no. 4, 65–78.

    Google Scholar 

  • Even, R., & Tirosh, D. (1995). Subject-matter knowledge and knowledge about students as sources of teacher presentations of the subject-matter. ”Educational Studies in Mathematics, 29, 1–20.

    Article  Google Scholar 

  • Fennema, E., & Megan L. F. (1992). Teachers’ knowledge and its impact. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147–164). New York: Macmillan.

    Google Scholar 

  • Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. R., & Empson, S. B. (1996). A Longitudinal study of learning to use children’s thinking in mathematics instruction. Journal for Research in Mathematics Education, 27(4), 403–434.

    Google Scholar 

  • Freudenthal, H. (1983). Major problems of mathematics education. In M. Zweng, T. Green, J. Kilpatrick, H. Pollak, and M. Suydam (Eds.), Proceedings of the Fourth International Congress on Mathematical Education (pp. 1–7). Boston: Birkhauser.

    Google Scholar 

  • Grant, S. G., Peterson, P. L., & Shojgreen-Downer, A. (1996). Learning to teach mathematics in the context of systemic reform. American Educational Research Journal, 33(2), 509–541.

    Google Scholar 

  • Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A., & Wearne, D. (1996). Problem solving as a basis for reform in curriculum and instruction: The case of mathematics. Educational Researcher, 25(4), 12–21.

    Google Scholar 

  • Lloyd, G. M. (1996). Change in teaching about functions: Content conceptions and curriculum reform. In E. Jakubowski, D. Watkins, and H. Biske (Eds.), Proceedings of the Annual Meeting of the North American Chapter of the International Group for Psychology of Mathematics Education Vol. 2 (pp. 200–206). Columbus, OH: ERIC CSMEE.

    Google Scholar 

  • Lloyd, G. M. (1999). Two teachers’ conceptions of a reform curriculum: Implications for mathematics teacher development. Journal of Mathematics Teacher Education, 2, 227–252.

    Article  Google Scholar 

  • Lloyd, G. M., & Frykholm, J. A. (2000). Middle school mathematics curricula at the university? Using innovative materials to challenge the conceptions of preservice elementary teachers. Education, 21, 575–580.

    Google Scholar 

  • Lloyd, G. M., & Wilson, M. (1998). Supporting innovation: The impact of a teacher’s conceptions of functions on his implementation of a reform curriculum. Journal for Research in Mathematics Education, 29, 248–274.

    Google Scholar 

  • Mathematical Sciences Education Board and NationalResearch Council. (1989). Everybody counts: A report to the nation on the future of mathematics education. Washington DC: National Academy Press.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Author.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1991). Professional Standards for Teaching Mathematics. Reston, VA: Author.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: Author.

    Google Scholar 

  • Prawat, R. (1992). Teachers’ beliefs about teaching and learning: A constructivist perspective. American Journal of Education, 100(3), 354–395.

    Article  Google Scholar 

  • Russell, S. J., Schifter, D., Bastable, V., Yaffee, L., Lester, J. B., & Cohen, S. (1995). Learning mathematics while teaching. In B. S. Nelson (Ed.), Inquiry and the development of teaching: Issues in the transformation of mathematics teaching (pp. 9–16). Newton, MA: Center for the Development of Teaching.

    Google Scholar 

  • Shulman, L S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.

    Google Scholar 

  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of theresearch. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146) New York: Macmillan.

    Google Scholar 

  • Tyson-Bernstein, H., & Woodward, A. (1991). Nineteenth century policies for twenty-first century practice: The textbook reform dilemma. In P. Altbach, G. Kelly, H. Petrie, & L. Weis (Eds.), Textbooks in American society (pp. 91–104). Albany: SUNY Press.

    Google Scholar 

  • von Glasersfeld, E. (1984). An introduction to radical constructivism. In P. Watzlawick (Ed.), The invented reality (pp. 17–40). New York: Norton, 1984.

    Google Scholar 

  • Wilson, M., & Goldenberg, M. P. (1998). Some conceptions are difficult to change: One middle school mathematics teacher’s struggle. Journal of Mathematics Teacher Education, 29(1), 269–293.

    Google Scholar 

  • Wilson, M R., & Lloyd, G. M. (2000) The challenge to share mathematical authority with students: high school teachers reforming classroom roles. Journal of Curriculum and Supervision, 15, 146–169.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Lloyd, G. (2002). Mathematics Teachers’ Beliefs and Experiences with Innovative Curriculum Materials. In: Leder, G.C., Pehkonen, E., Törner, G. (eds) Beliefs: A Hidden Variable in Mathematics Education?. Mathematics Education Library, vol 31. Springer, Dordrecht. https://doi.org/10.1007/0-306-47958-3_9

Download citation

  • DOI: https://doi.org/10.1007/0-306-47958-3_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1057-6

  • Online ISBN: 978-0-306-47958-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics