Skip to main content
Log in

United States teachers’ views of effective mathematics teaching and learning

  • Original article
  • Published:
ZDM Aims and scope Submit manuscript

Abstract

This study investigates US teachers’ cultural beliefs concerning effective mathematics teaching using semi-structured interviews with 11 experienced teachers. For US teachers, effective teaching is student-centered. Cognitively appropriate mathematical content should be understood through many hands-on activities that allow students to explore by themselves the relationship between mathematical knowledge and their life experiences. Correspondingly, the US teachers view an effective teacher as a facilitator who is sensitive to student social and cognitive needs and is skillful at organizing collaborative learning. The result of this study helps researchers and educators understand the student-centered learning model in US classrooms.

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

  • Cai J. (2004). Why do US and Chinese students think differently in mathematical problem solving? Exploring the impact of early algebra learning and teachers’ beliefs. Journal of Mathematical Behavior, 23, 135–167.

    Google Scholar 

  • Cai, J., & Wang, T. (2006). US and Chinese teachers’ conceptions and constructions of representations: a case of proportional reasoning. International Journal of Science and Mathematics Education, 4, 145–186.

    Article  Google Scholar 

  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.), Mathematics teaching: the state of the art (pp. 249–254). New York: The Flamer Press.

    Google Scholar 

  • Marton, F., Tse, L. K., & dall’Alba, G. (1996). Memorizing and understanding: the keys to the paradox? In D. A. Watkins, & J. B. Biggs (Eds.), The Chinese learner: cultural, psychological and contextual influences (pp. 69–83). Hong Kong: Comparative Education Research Centre, The University of Hong Kong and Melbourne, Australia: The Australian Council for Educational Research.

  • National Research Council (1989). Everybody counts. Washington, DC: National Academy of Sciences.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

    Google Scholar 

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

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

    Google Scholar 

  • Robeck, E. C. (1997). United States. In D. F. Robitaille (Ed.), National contexts for mathematics and science education: an encyclopedia of the education systems participating in TIMSS. Vancouver, Canada: Pacific Educational Press.

  • Senk, S. L., & Thompson, D. R. (Eds.) (2003). Standards-based school mathematics curricula: what are they? What do students learn? Mahwah, NJ: Lawrence Erlbaum Associates.

  • Skemp, R. R. (1978). Relational understanding and instrumental understanding. Arithmetic Teacher, 26(3), 9–15.

    Google Scholar 

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

    Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society. Cambridge, Massachusetts: Harvard University Press.

    Google Scholar 

  • Wang, T., & Cai, J. (2007). Chinese (Mainland) teachers’ views of effective mathematics teaching and learning (in this special issue).

Download references

Acknowledgments

The research discussed in this paper was supported by grants from the Spencer Foundation. Any opinions expressed herein are those of the authors and do not necessarily represent the views of the Spencer Foundation. We gratefully acknowledge the valuable assistance of Vic Cifarelli for data collection.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tao Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, T., Cai, J. United States teachers’ views of effective mathematics teaching and learning. ZDM Mathematics Education 39, 315–327 (2007). https://doi.org/10.1007/s11858-007-0031-6

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11858-007-0031-6

Keywords

Navigation