Skip to main content

Researching the Role of the Teacher in Creating Socially Productive Classrooms that Facilitate Mathematics Learning

  • Chapter
  • First Online:

Abstract

The explication by Steve Lerman of a social perspective on teaching and learning informed a classroom based research program including five funded projects. This chapter elaborates Lerman’s perspective, illustrates how it informed each of the projects, and presents a specific lesson to exemplify the key elements of this social perspective. The chapter is a description of ways that aspects of Steve’s 1998 plenary address at the conference of the International Group for the Psychology of Mathematics Education, titled “A moment in the zoom of a lens: Towards a discursive psychology of mathematics teaching and learning” influenced a program of classroom based research. There are three themes in particular from that address that informed the research program described in the chapter: the search for a descriptive professional language; defining a role for the teacher; and a focus on the social context of the classroom.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
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

Learn about institutional subscriptions

References

  • Askew, M., Brown, M., Rhodes, V., Johnson, D., & Wiliam, D. (1997). Effective teachers of numeracy, final report. London: King’s College.

    Google Scholar 

  • Bernstein, B. (1996). Pedagogy, symbolic control, and identity: Theory, research, critique. London: Taylor & Francis.

    Google Scholar 

  • Brophy, J. E. (1983). Research on the self-fulfilling prophecy and teacher expectations. Journal of Educational Psychology, 75(5), 631–661.

    Article  Google Scholar 

  • Brousseau, G. (1997). Theory of didactical situations in mathematics 1970–1990 (M. Cooper, N. Balacheff, R. Sutherland, & V. Warfield, Edited and Trans.). Dordrecht: Kluwer Academic Publishers. (French version (1998). Théorie des situations didactiques. [Textes rassemblés et préparés par N. Balacheff, M. Cooper, R. Sutherland, & V. Warfield]. Grenoble: La penséesauvage).

    Google Scholar 

  • Christiansen, B., & Walther, G. (1986). Task and activity. In B. Christiansen, A. G. Howson, & M. Otte (Eds.), Perspectives on mathematics education (pp. 243–307). Dordrecht: Reidel.

    Chapter  Google Scholar 

  • Cobb, P., & McClain, K. (1999). Supporting teachers’ learning in social and institutional contexts. In Fou-Lai Lin (Ed.), Proceedings of the 1999 international conference on mathematics teacher education (pp. 7–77). Taipei: National Taiwan Normal University.

    Google Scholar 

  • Delpit, L. (1988). The silenced dialogue: Power and pedagogy in educating other people’s children. Harvard Educational Review, 58(3), 280–298.

    Google Scholar 

  • Department of Education, Employment and Training. (2001). Early years numeracy strategy. http://www.sofweb.vic.edu.au/eys/num/index.htm

  • Dweck, C. S. (2000). Self theories: Their role in motivation, personality, and development. Philadelphia: Psychology Press.

    Google Scholar 

  • Ernest, P. (1994). Varieties of constructivism: Their metaphors, epistemologies and pedagogical implications. Hiroshima Journal of Mathematics Education, 2, 1–14.

    Google Scholar 

  • Inoue, N. (2010). Zen and the art of neriage: Facilitating consensus building in mathematics inquiry lessons through lesson study. Journal of Mathematics Teacher Education, Retrieved online from http://www.springerlink.com/content/g33022h2k1384461/

  • Jorgensen, R. (2009). Cooperative learning environments. In R. Hunter, B. Bicknell, & T. Burgess (Eds)., Crossing divides (Proceedings of the 32nd conference of the Mathematics Education Research Group of Australasia, Vol. 1, pp. 700–703). Sydney: MERGA.

    Google Scholar 

  • Lerman, S. (1998). A moment in the zoom of a lens: Towards a discursive psychology of mathematics teaching and learning. In A. Olivier & K. Newstead (Eds.), Proceedings of the 22nd conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 66–81). Stellenbosch.

    Google Scholar 

  • Middleton, J. A. (1995). A study of intrinsic motivation in the mathematics classroom: A personal construct approach. Journal for Research in Mathematics Education, 26(3), 254–279.

    Article  Google Scholar 

  • Simon, M. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26, 114–145.

    Article  Google Scholar 

  • Sullivan, P. (1999). Seeking a rationale for particular classroom tasks and activities. In J. M. Truran & K. N. Truran (Eds.), Making the difference. Proceedings of the 21st conference of the Mathematics Educational Research Group of Australasia (pp. 15–29). Adelaide.

    Google Scholar 

  • Sullivan, P., Zevenbergen, R., & Mousley, J. (2002). Contexts in mathematics teaching: Snakes or ladders? In B. Barton, K. C. Irwin, M. Pfannkuch, & M. Thomas (Eds.), Mathematics education in the South Pacific (pp. 649–656). Auckland: Mathematics Education Research Group of Australasia.

    Google Scholar 

  • Sullivan, P., Mousley, J., Zevenbergen, R., & Turner Harrison, R. (2003). Being explicit about aspects of mathematics pedagogy. In N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 2003 joint meeting of PME and PMENA (pp. 267–275). University of Hawai’i, PME.

    Google Scholar 

  • Sullivan, P., Mousley, J., & Jorgensen, R. (2009a). Tasks and pedagogies that facilitate mathematical problem solving. In B. Kaur & Association of Mathematics Educators (Eds.), Mathematical problem solving (pp. 17–42). Singapore/Hackensack: UK World Scientific Publishing.

    Chapter  Google Scholar 

  • Sullivan, P., Prain, V., Campbell, C., Deed, C., Drane, S., Faulkner, M., McDonough, A., Mornane, A., & Smith, C. (2009b). Trying in the middle years: Students’ perceptions of their aspirations and influences on their efforts. Australian Journal of Education, 5(2), 176–191.

    Article  Google Scholar 

  • Sullivan, P., Clarke, D., & Clarke, B. (2013). Teaching with tasks for effective mathematics learning. New York: Springer.

    Book  Google Scholar 

  • Tschannen-Moran, M., Hoy, A., & Hoy, W. (1998). Teaching efficacy: Its meaning and measure. Review of Educational Research, 68(2), 202–248.

    Article  Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman Eds. and Trans.). Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Wood, T. (2002). What does it mean to teach mathematics differently? In B. Barton, K. C. Irwin, M. Pfannkuch, & M. Thomas (Eds.), Mathematics education in the South Pacific (pp. 61–71). Auckland: Mathematics Education Research Group of Australasia.

    Google Scholar 

  • Zevenbergen, R. (1998). Language, mathematics and social disadvantage: A Bourdieuian analysis of cultural capital in mathematics education. In C. Kanes, M. Goos, & E. Warren (Eds.), Teaching mathematics in new times (pp. 716–722). Gold Coast: MERGA.

    Google Scholar 

  • Zevenbergen, R. (2000). “Cracking the code” of mathematics: School success as a function of linguistic, social and cultural background. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 201–223). New York: JAI/Ablex.

    Google Scholar 

  • Zevenbergen, P. (2003). Ability grouping in mathematics classrooms: A Bourdieuian analysis. For the Learning of Mathematics, 23(3), 5–10.

    Google Scholar 

  • Zevenbergen, R., Mousley, J., & Sullivan, P. (2004). Disrupting pedagogic relay in mathematics classrooms: Using open-ended Tasks with Indigenous students. International Journal of Inclusive Education, 8(4), 391–405.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter Sullivan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer Science+Business Media Singapore

About this chapter

Cite this chapter

Sullivan, P. (2015). Researching the Role of the Teacher in Creating Socially Productive Classrooms that Facilitate Mathematics Learning. In: Gates, P., Jorgensen (Zevenbergen), R. (eds) Shifts in the Field of Mathematics Education. Springer, Singapore. https://doi.org/10.1007/978-981-287-179-4_9

Download citation

Publish with us

Policies and ethics