Skip to main content
Log in

Teaching values and valued teaching in the mathematics classroom: toward a research agenda

  • Commentary Paper
  • Published:
ZDM Aims and scope Submit manuscript

Abstract

In this paper, we first discuss the teaching of values by focusing on the kinds of values that have been discussed and studied in the other papers in this special journal issue and elsewhere. Then we raise a number of issues about the product-based values in mathematics education, which we identify as teaching values and which can be realized through classroom instruction. In the second section, we discuss the process-based valued teaching methods used to maximize the realization of the teaching values in the classroom. As valued teaching may be perceived differently by different people, in the discussion we analyze how it is seen from both students’ and teachers’ perspectives. We end this paper by discussing a number of methodological issues in studying teaching values and valued teaching as well as offering suggestions for future research.

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

  • Baba, T., Iwasaki, H., Ueda, A., & Date, F. (2012, this issue). Values in Japanese mathematics education: A historical development. ZDMThe International Journal on Mathematics Education.

  • Bishop, A. J. (1999). Mathematics teaching and values education: An intersection in need of research. ZDM—The International Journal on Mathematics Education, 31(1), 1–4.

    Article  Google Scholar 

  • Bishop, A. J. (2012). From culture to well-being—a partial story of values in mathematics education. ZDMThe International Journal on Mathematics Education (this issue).

  • Bishop, A. J., FitzSimons, G. E., Seah, W. T., & Clarkson, P. C. (2001). Do teachers implement their intended values in mathematics classrooms? In M. V. D. Heuvel-Panhuizen (Ed.), Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 169–176). Utrecht, The Netherlands: Freudenthal Institute.

  • Bransford, J. D., Brown, A. L., & Cocking, R. R. (2000). How people learn: Brain, mind, experience, and school (Expanded ed.). Washington, DC: National Research Council.

    Google Scholar 

  • Cai, J., & Cifarelli, V. (2004). Thinking mathematically by Chinese learners: An international comparative perspective. In L. Fan, N-Y Wong, J. Cai, & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 71–106). Singapore: World Scientific Publishers.

  • Cai, J., Kaiser, G., Perry, R., & Wong, N.-Y. (Eds.). (2009a). Effective mathematics teaching from teachers’ perspectives: National and international studies. Rotterdam: Sense Publishers.

    Google Scholar 

  • Cai, J., & Wang, T. (2010). Conceptions of effective mathematics teaching within a cultural context: Perspectives of teachers from China and the United States. Journal of Mathematics Teacher Education, 13(2), 265–287.

    Article  Google Scholar 

  • Cai, J., Wang T., Wang N., & Garber, T. (2009b). Studying effective teaching from teachers’ perspectives: A journey has just begun. In J. Cai, G. Kaiser, R. Perry, & N-Y Wong. (Eds.), Effective mathematics teaching from teachers’ perspectives: National and international studies (pp. 305–320). Rotterdam: Sense Publishers.

  • Goldin, G. A. (2004). Problem solving heuristics, affect, and discrete mathematics. ZDM—The International Journal on Mathematics Education, 36(2), 56–60.

    Article  Google Scholar 

  • Law, H. Y., Wong, N. Y., & Lee, N. Y. L. (2012). A study of espoused values in Hong Kong’s mathematics classrooms. ZDMThe International Journal on Mathematics Education (this issue).

  • Lim, C. S., & Kor, L. K. (2012). Excellent primary mathematics teachers’ espoused versus enacted values of effective lessons. ZDMThe International Journal on Mathematics Education (this issue).

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

    Google Scholar 

  • National Research Council, Committee on Highly Successful Schools or Programs in K-12 STEM Education (2011). Successful K-12 STEM education: Identifying effective approaches in science, technology, engineering, and mathematics. Washington, DC: The National Academies Press.

  • Seah, W. T. & Peng, A. (2012). What students outside Asia value in effective mathematics lessons: A scoping study. ZDMThe International Journal on Mathematics Education (this issue).

  • Wong, N. Y., Wong, W-Y, & Wong, E. W-Y. (2012). What do Chinese value in (mathematics) education. ZDMThe International Journal on Mathematics Education (this issue).

Download references

Acknowledgments

Preparation of this paper was supported by a grant from the Spencer Foundation. Any opinions expressed herein are those of the authors and do not necessarily represent the views of Spencer Foundation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinfa Cai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cai, J., Garber, T. Teaching values and valued teaching in the mathematics classroom: toward a research agenda. ZDM Mathematics Education 44, 91–97 (2012). https://doi.org/10.1007/s11858-012-0404-3

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11858-012-0404-3

Keywords

Navigation