Skip to main content
Log in

Initiating Change in Prospective Elementary School Teachers' Orientations to Mathematics Teaching by Building on Beliefs

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

Abstract

Many mathematics educators have found thatprospective elementary school teachers' beliefsinterfere with their learning of mathematics.Often teacher educators consider these beliefsto be wrong or naïve and seek to challengethem so prospective teachers will reject themfor more generative beliefs. Because of theresilience of prospective teachers' beliefs inresponse to these challenges, teacher educatorscould consider alternative ways of thinkingabout and addressing beliefs, particularly thepotential of building on rather than tearingdown pre-existing beliefs. Data from anearly-field experience linked to amathematics-for-teachers course provideevidence that when prospective teachers workintimately with children, in this case tryingto teach 10-year-olds about fractions, theexperience has the intensity from which beliefscan grow. Most of the prospective teachers inthe study were surprised that mathematicsteaching was more difficult than they hadanticipated. They began to consider theimportance of providing children time to thinkwhen solving mathematical problems. The changedescribed in the study is incremental ratherthan monumental, suggesting that building uponprospective teachers' existing beliefs will bea gradual process.

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.

Similar content being viewed by others

REFERENCES

  • Ambrose, R. (2002, April). They all hate math: Getting beyond our stereotypes of prospective elementary school teachers. Paper presented at the annual meeting of the American Educational Research Association, New Orleans.

  • Ball, D. (1990). Prospective elementary and secondary teachers' understanding of division. Journal for Research in Mathematics Education, 21, 132–144.

    Google Scholar 

  • Ball, D. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51, 241–247.

    Google Scholar 

  • Carpenter, T.P., Fennema, E., Franke, M., Levi, L. & Empson, S. (1999). Children's mathematics: Cognitively guided instruction. Portsmouth, NH: Heinemann.

    Google Scholar 

  • Document/index.htm

    Google Scholar 

  • Feiman-Nemser, S. & Buchmann, M. (1986). The first year of teacher preparation: Transition to pedagogical thinking. Journal of Curriculum Studies, 18, 239–256.

    Google Scholar 

  • Feiman-Nemser, S., McDiarmid, G.W., Melnick, S. & Parker, M. (1988). Changing beginning teachers' conceptions: A study of an introductory teacher education course. East Lansing: National Center for Research on Teacher Education and Department of Teacher Education, Michigan State University.

    Google Scholar 

  • Fenstermacher, G. (1979). A philosophical consideration of recent research on teacher education. In L.S. Shulman (Ed.), Review of research in education (Vol. 6, pp. 157–185). Itasca, IL: F.E. Peacock.

    Google Scholar 

  • Gellert, U. (2000). Mathematics instruction in safe space: Prospective elementary teachers' views of mathematics education. Journal of Mathematics Teacher Education, 3, 251–270.

    Google Scholar 

  • Glaser, B. (1998). Doing grounded theory: Issues and discussions. Mill Valley, CA: Sociology Press.

    Google Scholar 

  • Goldstein, L. (1999). The relational zone: The role of caring relationships in the co-construction of mind. American Educational Research Journal, 36, 647–673.

    Google Scholar 

  • Goodman, J. (1988). Constructing a practical philosophy of teaching: A study of prospective teachers' professional perspectives. Teaching and Teacher Education, 4, 121–137.

    Google Scholar 

  • Green, T.F. (1971). The activities of teaching. New York: McGraw-Hill.

    Google Scholar 

  • Hargreaves, A. (1994). Changing teachers, changing times. London: Cassell.

    Google Scholar 

  • Hollingsworth, S. (1989). Prior beliefs and cognitive change in learning to teach. American Educational Research Journal, 26, 160–189.

    Google Scholar 

  • Hollingsworth, S. (1992). Learning to teach through collaborative conversation: A feminist approach. American Educational Research Journal, 29, 373–404.

    Google Scholar 

  • Howes, E.V. (2002). Learning to teach science for all in the elementary grades: What do preservice teachers bring? Journal of Research in Science teaching, 39, 845–869.

    Google Scholar 

  • Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Mack, N. (1995). Confounding whole-number and fraction concepts when building on informal knowledge. Journal for Research in Mathematics Education, 26, 422–443.

    Google Scholar 

  • Mathematical Sciences Education Board (2001). Knowing and learning mathematics for teaching: Proceedings of a workshop. Washington, DC: National Academy Press.

    Google Scholar 

  • McDiarmid, G.W., Ball, D.L. & Anderson, C.W. (1989). Why staying one chapter ahead doesn't really work: Subject specific pedagogy. In M.C. Reynolds (Ed.), Knowledge base for the beginning teacher (pp. 193–206). Oxford: Pergamon Press.

    Google Scholar 

  • McLaughlin, H.J. (1991). Reconciling care and control: Authority in classroom relationships. Journal of Teacher Education, 42(3), 182–195.

    Google Scholar 

  • Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19, 317–328.

    Google Scholar 

  • Pajares, M.F. (1992). Teachers' beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62, 307–332.

    Google Scholar 

  • Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula (Ed.), Handbook of research on teacher education (pp. 102–119). New York: Macmillan.

    Google Scholar 

  • Rokeach, M. (1968). Beliefs, attitudes, and values: A theory of organization and change. San Francisco: Jossey-Bass.

    Google Scholar 

  • Simon, M., Tzur, R., Heinz, K., Kinzel, M. & Smith, M.S. (2000). Characterizing a perspective underlying the practice of mathematics teachers in transition. Journal for Research in Mathematics Education, 31, 579–601.

    Google Scholar 

  • Stofflett, R. & Stoddart, T. (1992, April). Patterns of assimilation and accommodation in traditional and conceptual change teacher education course. Paper presented at the Annual Meeting of the American Educational Research Association, San Francisco.

  • Weinstein, C.S. (1989). Teacher education students' preconceptions of teaching. Journal of Teacher Education, 4, 31–40.

    Google Scholar 

  • Weinstein, C.S. (1990). Prospective elementary teachers' beliefs about teaching: Implications for teacher education. Teaching and Teacher Education, 6, 279–290.

    Google Scholar 

  • Wideen, M., Mayer-Smith, J. & Moon, B. (1998). A critical analysis of the research on learning to teach: Making the case for an ecological perspective on inquiry. Review of Educational Research, 68(2), 130–178.

    Google Scholar 

  • Worthy, J. & Patterson, E. (2001). “I can't wait to see Carlos!”: Situated learning and personal relationships with students. Journal of Literacy Research, 33(2), 303–344.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ambrose, R. Initiating Change in Prospective Elementary School Teachers' Orientations to Mathematics Teaching by Building on Beliefs. Journal of Mathematics Teacher Education 7, 91–119 (2004). https://doi.org/10.1023/B:JMTE.0000021879.74957.63

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JMTE.0000021879.74957.63

Navigation