# Powerful Stories: The Hitchhiker’s Guide to the Secondary Mathematics Curriculum Landscape

## Abstract

Our goals are first to capture a few significant historical moments in the changing face of secondary school mathematics, and secondly to use these to help us decide how we need to move into the future. We decided to speak in a voice that was as personal as possible and that also supported our current research interests, and that of course has conditioned our historical record. Along with that we decided that, rather than write a single piece, we would each write our own thoughts. In particular, Peter would write the central paper, and then Divya, Kariane and Stefanie would each write a reflective response in the currere style (Pinar, W. F., The method of “currere”. Paper presented at the Annual Meeting of the American Educational Research Association. Washington, DC, 1975). And of course we would trade ideas at every stage.

Our focus is not on teacher education, nor is it on assessment, though these are both significant components of the shifting landscape, and definitely need continued attention, but we focus here on curriculum. Our long-term objective is to see a high school mathematics curriculum that is driven by what we call powerful stories; as such it would be richer and more sophisticated than what we have at the present and it would be a better platform for the development of “mathematical thinking.”

## Keywords

Life Narrative Sophistication Currere Mathematical thinking Dewey Whitehead## References

- Adams, B., & Vallance, J. (1984).
*Summer of ’69*[Recorded by B. Adams]. On*Reckless.*Santa Monica: A&M Records.Google Scholar - Beltzner, K. P., Coleman, A. J., & Edwards, G. D. (1976).
*Mathematical sciences in Canada background study No. 37*. Ottawa: Science Council of Canada.Google Scholar - Davis, B. (2001). Why teach mathematics to all students?
*For the Learning of Mathematics, 21*, 17–24.Google Scholar - Dewey, J. (1938).
*Experience and education*. New York: Kappa Delta Pi.Google Scholar - Gadanidis, G. (2012). Trigonometry in grade 3? In
*What works? Research into practice*(Research monograph 42). Ottawa: The Literacy and Numeracy Secretariat.Google Scholar - Gadanidis, G., Borba, M., Hughes, J., & Lacerda, H. D. (2016). Designing aesthetic experiences for young mathematicians: A model for mathematics education reform.
*International Journal for Research in Mathematics Education, 6*(2), 225–244.Google Scholar - Ginsburg, H. P. (2002). Little children, big mathematics: Learning and teaching in the pre-school. In A. D. Cockburn & E. Nardi (Eds.), Proceedings of the 26th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 3–14). University of East Anglia, UK: Psychology of Mathematics Education.Google Scholar
- Gottfried, A. E., Fleming, J. S., & Gottfried, A. W. (2001). Continuity of academic intrinsic motivation from childhood through late adolescence: A longitudinal study.
*Journal of Educational Psychology, 93*(1), 3–13.CrossRefGoogle Scholar - Gottfried, A. E., Marcoulides, G. A., Gottfried, A. W., Oliver, P. H., & Wright Guerin, D. (2007). Multivariate latent change modeling of developmental decline in academic intrinsic math motivation and achievement: Childhood through adolescence.
*International Journal of Behavioral Development, 31*(4), 317–327. https://doi.org/10.1177/0165025407077752.CrossRefGoogle Scholar - Mehta, R., Mishra, P., & Henriksen, D. (2016). Creativity in mathematics and beyond—Learning from Fields medal winners.
*TechTrends, 60*(1), 14–18. https://doi.org/10.1007/s11528-015-0011-6.CrossRefGoogle Scholar - Mendrick, H. (2008). What’s so great about doing mathematics like a mathematician?
*For the Learning of Mathematics, 28*(3), 15–16.Google Scholar - Middleton, J. A., & Spanial, P. A. (1999). Motivation for achievement in mathematics: Findings, generalizations, and criticisms of the research.
*Journal for Research in Mathematics Education, 30*(1), 65–88.CrossRefGoogle Scholar - Moss, J., Beatty, R., Barkin, S., & Shillolo, G. (2008). “What is your theory? What is your rule?” Fourth graders build an understanding of functions through patterns and generalizing problems. In C. E. Greenes & R. Rubenstein (Eds.),
*Algebra and algebraic thinking in school mathematics*(pp. 155–168). Reston: National Council of Teachers of Mathematics.Google Scholar - Papert, S. (1980).
*Mindstorms*. New York: Harvester Press.Google Scholar - Pinar, W. F. (1975).
*The method of “currere”.*Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.Google Scholar - Postman, N. (1995).
*The end of education: Redefining the value of school*. New York: Knopf.Google Scholar - Postman, N., & Weingartner, C. (1969).
*Teaching as a subversive activity*. New York: Dell Publishing Co., Inc.Google Scholar - Sinclair, N. (2006).
*Mathematics and beauty*. New York: Teacher’s College Press.Google Scholar - Sinclair, N., & Watson, A. (2001). Wonder, the rainbow and the aesthetics of rare experiences.
*For the Learning of Mathematics, 21*, 39–42.Google Scholar - Watson, A. (2008). School mathematics as a special kind of mathematics.
*For the Learning of Mathematics, 28*(3), 3–7.Google Scholar - Whitehead, A. N. (1929).
*Aims of education*. New York: The Free Press.Google Scholar - Whiteley, W., & Davis, B. (2003). A mathematics curriculum manifesto. In E. Simmt & B. Davis (Eds.),
*Proceedings of the 2003 annual meeting of the Canadian Mathematics Education Study Group*(pp. 79–83). Edmonton, AB: CMESG/GCEDM. Retrieved from http://www.cmesg.org/wp-content/uploads/2015/01/CMESG2003.pdf