Towards a Theory of Identity and Agency in Coming to Learn Mathematics

Peter Grootenboer; Robyn Jorgensen (Zevenbergen)

doi:10.12973/ejmste/75277

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Peter Grootenboer ¹ ^* , Robyn Jorgensen (Zevenbergen) ¹

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¹ Griffith University, Gold Coast, Qld, AUSTRALIA^* Corresponding Author

Abstract

In writing this paper we draw considerably on the work of Jo Boaler and Leone Burton. Boaler’s studies of classrooms have been particularly poignant in alerting the mathematics education community to a number of key features of successful classrooms, and how such features can turn around the successes for students who traditionally perform poorly in school mathematics. This is supplemented by the recent work of Leone Burton who worked extensively with research mathematicians in order to understand their communities and ways of working. Collectively these two seminal works provide valuable insights into potential ways to move the field of school mathematics forward. In times when there is international recognition of the plight of school mathematics, there is a need for new teaching practices that overcome the hiatus of contemporary school mathematics.

Keywords

learning theory
identity
agency
working as a mathematician

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 5, Issue 3, 2009, 255-266

https://doi.org/10.12973/ejmste/75277

Publication date: 22 Jan 2009

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References

Australian Academy of Science. (2006). Mathematics and statistics: Critical skills for Australia’s future. The national strategic review of mathematical sciences research in Australia. Canberra, ACT: Author.
Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449-466.
Barnes, M. S. (2000). ‘Magical’ moments in mathematics: Insights into the process of coming to know. For the Learning of Mathematics, 20(1), 33-43.
Bibby, T. (2002). Shame: An emotional response to doing mathematics as an adult and teacher. British Educational Research Journal, 28(5), 705-722.
Boaler, J. (1997). Experiencing school mathematics: Teaching styles, sex and setting. Buckingham: Open University Press.
Boaler, J. (2002a). Exploring the nature of mathematical activity: Using theory, research and `working hypotheses' to broaden conceptions of mathematics knowing. Educational Studies in Mathematics, 51(1-2), 3-21.
Boaler, J. (2002b). Learning from teaching: Exploring the relationship between reform curriculum and equity. Journal for Research in Mathematics Education, 33(4), 239 - 258.
Boaler, J. (2003). Studying and capturing the case of the dance of agency. In N. Pateman, B. Dougherty & J. Zillox (Eds.), Proceedings of the 27th annual conference of the International Group of Psychology of Mathematics Education (Vol. 1, pp. 3-16). Hawaii: PME.
Boaler, J. (2008). Promoting 'relational equity' and high mathematics achievement through an innovative mixed ability approach. British Educational Research Journal, 34 (2), 167-194.
Boaler, J. & Staples, M. (2008). Creating mathematical futures through an equitable teaching approach: the case of Railside school. Teachers College Record, 110(3), 608-645.
Brown, T., McNamara, O., Hanley, U., & Jones, L. (1999). Primary student teachers’ understanding of mathematics and its teaching. Educational Research Journal, 25(3), 299- 322.
Burton, L. (1999a). The practices of mathematicians: What do they tell us about coming to know mathematics? Educational Studies in Mathematics, 37, 121-143.
Burton, L. (1999b). Mathematicians and their epistemologies – and the learning of mathematics. In I. Schwank (Ed.), European research in mathematics education 1 (Proceedings of the first conference of the European Society in mathematics education, Vol. 1, pp. 87-102). Osnabrueck: Forschungsinstitut fuer Mathematikdidaktik.
Burton, L. (2001). Research mathematicians as learners – and what mathematics education can learn from them. British Educational Research Journal, 27(5), 589-599.
Burton, L. (2002). Recognising commonalities and reconciling differences in mathematics education. Educational Studies in Mathematics, 50, 157-175.
Cohen, E., & Latan, R. (Eds.). (1997). Working for equity in heterogeneous classrooms: sociological theory in practice. New York: Teachers College Press.
Cohen, E., Latan, R. A., Scarloss, B. A., & Arellano, A. R. (1999). Complex instruction: Equity in cooperative learning classrooms. Theory into Practice, 38(2), 80-86.
Cooney, T., Shealy, B., & Arvold, B. (1998). Conceptualizing belief structures of preservice secondary mathematics teachers. Journal for Research in Mathematics Education, 29(3), 306-333.
Davis, P. J., & Hersh, R. (1998). The mathematical experience. New York: Mariner
Education Queensland. (2001). The Queensland school longitudinal reform study. Brisbane: GoPrint.
Goulding, M., Rowland, T., & Barber, P. (2002). Does it matter? Primary teacher trainees’ subject knowledge in mathematics. Educational Research Journal, 28(5), 689-704.
Grootenboer, P. J. (2003). Facilitating affective change with preservice primary teachers. In L. Bragg, C. Campbell, G. Herbert, & J. Mousley (Eds.) MERINO: Mathematics education research: Innovations, networking, opportunity (Proceedings of the 26th annual conference of Mathematics Education Research Group of Australasia, Vol. 2, pp. 413-420). Geelong, Australia: MERGA
Harris, K., & Jensz, F. (2006). The preparation of mathematics teachers in Australia: Meeting the demand for suitably qualified mathematics teachers in secondary schools. Melbourne: Centre for the Study of Higher Education, University of Melbourne.
Kanes, C., & Nisbet, S. (1996). Mathematics-teachers’ knowledge bases: Implications for teacher education. Asia-Pacific Journal of Teacher Education, 24(2), 159-171.
Mandeville, G. K., & Lui, Q. (1997). The effect of teacher certification and task level on mathematics achievement. Teaching and Teacher Education, 33(4), 313-328.
Philippou, G. N., & Christou, C. (1998). The effects of a preparatory mathematics program in changing prospective teachers’ attitudes towards mathematics. Educational Studies in Mathematics, 35(2), 189-206.
Pickering, A. (1995). The mangle of practice: Time, agency and science. Chicago: The University of Chicago Press.
Sánchez, V., & García, M. (2008). What to teach and how to teach it: Dilemmas in primary mathematics teacher education. In B. Jaworski, & T. Wood (Eds.) The mathematics teacher educator as a developing professional (Vol. 4, pp. 281-297). Rotterdam, The Netherlands: Sense Publishers
Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
Simon, M. A. (1993). Prospective elementary teachers’ knowledge of division. Journal for Research in Mathematics Education, 24(3), 233-254.
Statistical Society of Australia. (2005). Statistics at Australian universities: A SSAI-sponsored review. Braddon, ACT: Author.
Wenger, E. (1998). Communities of practice: Learning, meaning and identity. NewYork: Cambridge University Press.
Zevenbergen, R. (2005). The construction of a mathematical habitus: implications of ability grouping in the middle years. Journal of Curriculum Studies, 37(5), 607 -619.

How to cite this article

APA

Grootenboer, P., & Jorgensen (Zevenbergen), R. (2009). Towards a Theory of Identity and Agency in Coming to Learn Mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 5(3), 255-266. https://doi.org/10.12973/ejmste/75277

Vancouver

Grootenboer P, Jorgensen (Zevenbergen) R. Towards a Theory of Identity and Agency in Coming to Learn Mathematics. EURASIA J Math Sci Tech Ed. 2009;5(3):255-66. https://doi.org/10.12973/ejmste/75277

AMA

Grootenboer P, Jorgensen (Zevenbergen) R. Towards a Theory of Identity and Agency in Coming to Learn Mathematics. EURASIA J Math Sci Tech Ed. 2009;5(3), 255-266. https://doi.org/10.12973/ejmste/75277

Chicago

Grootenboer, Peter, and Robyn Jorgensen (Zevenbergen). "Towards a Theory of Identity and Agency in Coming to Learn Mathematics". Eurasia Journal of Mathematics, Science and Technology Education 2009 5 no. 3 (2009): 255-266. https://doi.org/10.12973/ejmste/75277

Harvard

Grootenboer, P., and Jorgensen (Zevenbergen), R. (2009). Towards a Theory of Identity and Agency in Coming to Learn Mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 5(3), pp. 255-266. https://doi.org/10.12973/ejmste/75277

MLA

Grootenboer, Peter et al. "Towards a Theory of Identity and Agency in Coming to Learn Mathematics". Eurasia Journal of Mathematics, Science and Technology Education, vol. 5, no. 3, 2009, pp. 255-266. https://doi.org/10.12973/ejmste/75277