Skip to main content
Log in

Abstract

The “Canadian Math Wars” have been in full force since release of the 2012 PISA results. Using phenomenography, we investigated public perceptions of the (not) new mathematics as expressed in responses to media coverage. Our results highlight the multiplicity of the public’s perception of goals for an ideal school mathematics. We use the category of “Mastering Basic Computational Skills” to illuminate five dimensions informing this idealized goal: learning process, result of learning, order of learning, learning tasks, and the nature of mathematics. Our findings allow us to lay aside the rhetoric of oppositional stances to establish future avenues of communication.

Résumé

Les « guerres des maths » battent leur plein au Canada depuis la parution des résultats du programme PISA 2012. Par le biais de la phénoménographie, nous nous sommes penchées sur la perception publique des mathématiques (non) nouvelles, telle qu’exprimée dans les réactions à la couverture médiatique. Nos résultats soulignent les multiples facettes de la perception publique des objectifs d’un programme idéal de mathématiques à l’école. Nous utilisons la catégorie « maîtrise des compétences fondamentales en calcul » pour éclairer cinq aspects de ces objectifs idéalisés: le processus d’apprentissage, les résultats de l’apprentissage, les séquences d’apprentissage, les tâches d’apprentissage et la nature même des mathématiques. Nos résultats permettent de renoncer à la rhétorique de confrontation pour établir de futures avenues de communication.

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

  • Åkerlind, G. S. (2012). Variation and commonality in phenomenographic research methods. Higher Education Research & Development, 31(1), 115–127. doi: https://doi.org/10.1080/07294360.2011.642845

  • Alphonso, C. & Maki, A. (2014, January 7). Math wrath: Parents and teachers demanding a return to basic skills. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/petitions-press-provinces-to-put-emphasis-on-basic-math-skills/article16240118/-dashboard/follows/

  • Barnacle, R. (2005). Interpreting interpretation: A phenomenological perspective on phenomenography. In J. A. Bowden & P. Green (Eds.), Doing developmental phenomenography (pp. 47–55). Melbourne, Australia: RMIT University Press.

  • Barwell, R., & Abtahi, Y. (2015). Morality and news media representations of mathematics education. In S. Mukhopadhyay & B. Greer (Eds.), Proceedings of the Eighth International Mathematics Education and Society Conference (Vol. 2, pp. 298–311). Portland, OR. Retrieved from http://mescommunity.info/MES8ProceedingsVol2.pdf

  • Bowden, J., & Marton, F. (2004). The university of learning. London: Routledge Falmer.

  • Brochu, P., Deussing, M.-A., Houme, K., & Chuy, M. (2013). Measuring up: Canadian results of the OECD PISA study. 2012 first results for Canadians aged 15. Toronto, ON: Council of Ministers of Education, Canada.

  • Chernoff, E. (n.d.). MatthewMaddux Education [Digital repository tagged Math Wars]. Retrieved from http://matthewmadduxeducation.com/tagged/math%20wars

  • Chorney, S., Ng, O.-L., & Pimm, D. (2016). A tale of two more metaphors: Storylines about mathematics education in Canadian National media. Canadian Journal of Science, Mathematics and Technology Education, 16(4), 402–418. doi:https://doi.org/10.1080/14926156.2016.1235746

    Article  Google Scholar 

  • Cook, J. P., & Fukawa-Connelly, T. (2015). The pedagogical examples of groups and rings that algebraists think are most important in an introductory course. Canadian Journal of Science, Mathematics and Technology Education, 15(2), 171–185. doi:https://doi.org/10.1080/14926156.2015.1035463

    Article  Google Scholar 

  • De Mott, B. (1962). The math wars. The American Scholar, 31(2), 296, 298, 300, 302, 304, 306, 308, 310.

  • Hayden, R.W. (1981). A history of the “new math” movement in the United States. Retrospective Theses and Dissertations. Retrieved from http://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=8426&context=rtd

  • Herbel-Eisenmann, B., Sinclair, N., Chval, K. B., Clements, D. H., Civil, M., Pape, S. J., Stephan, M., Wanko, J. J., & Wilkerson, T. L. (2016). Positioning mathematics education researchers to influence storylines. Journal for Research in Mathematics Education, 47(2), 102–117. doi:https://doi.org/10.5951/jresematheduc.47.2.0102

  • Herbert, S., & Pierce, R. (2013). Gesture as data for a phenomenographic analysis of mathematical conceptions. International Journal of Educational Research, 60(1), 1–10. doi:https://doi.org/10.1016/j.ijer.2013.03.004

    Google Scholar 

  • Herbert, S., Vale, C., Bragg, L. A., Loong, E., & Widjaja, W. (2015). A framework for primary teachers’ perceptions of mathematical reasoning. International Journal of Educational Research, 74, 26–37. doi:https://doi.org/10.1016/j.ijer.2015.09.005

    Article  Google Scholar 

  • Herrera, T. A., & Owens, D. T. (2001). The “new new math”?: Two reform movements in mathematics education. Theory into practice, 40(2), 84–92. doi:https://doi.org/10.1207/s15430421tip4002_2

  • Holmqvist, M., Gustavsson, L., & Wernberg, A. (2008). Variation theory: An organizing principle to guide design research in education. In A. E. Kelly, R. Lesh, & J. Baek (Eds.), Handbook of design research methods in education: Innovations in science, technology, engineering, and mathematics learning and teaching (pp. 111–130). New York: Routledge.

  • Kilpatrick, J. (2012). The new math as an international phenomenon. ZDM Mathematics Education, 44, 563–571.

    Article  Google Scholar 

  • Kline, M. (1973). Why Johnny can’t add: The failure of the new math. New York: Random House.

    Google Scholar 

  • Lakoff, G., & Johnson, M. (1980). Metaphors we live by. Chicago: University of Chicago Press.

    Google Scholar 

  • Lo, M. L. (2012). Variation theory and the improvement of teaching and learning. Göteborg: Acta Universitatis Gothoburgensis.

    Google Scholar 

  • Lo, M. L., & Marton, F. (2012). Towards a science of the art of teaching: Using variation theory as a guiding principle of pedagogical design. International Journal of Lesson and Learning Studies, 1(1), 7–22. doi:https://doi.org/10.1108/20468251211179678

  • Marton, F. (1981). Phenomenography—Describing conceptions of the world around us. Instructional Science, 10(2), 177–200. doi:https://doi.org/10.1007/BF00132516

  • Marton, F. (1986). Phenomenography—A research approach to investigating different understandings of reality. Journal of Thought, 21(3), 28–49.

    Google Scholar 

  • Marton, F. (1988). Phenomenography: Exploring different conceptions of reality. In D. M. Fetterman (Ed.), Qualitative approaches to evaluation in education: The silent scientific revolution (pp. 176–205). New York: Praeger.

  • Marton, F., & Booth, S. (1997). Learning and awareness. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • McGarvey, L. M. (2015). Basic facts about PISA 2012. In S. Oesterle & D. Allan (Eds.), Proceedings of the 2014 Annual Meeting Canadian Mathematics Education Study Group / Groupe Canadien d’Étude en Didactique des Mathématiques (pp. 57-63). Edmonton, AB: CMESG/GCEDM.

  • McGarvey, L. M. & McFeetors, P. J. (2015). Reframing perceptions of arithmetic learning: A Canadian perspective. In X. Sun, B. Kaur & J. Novotná (Eds.), Proceedings of the twenty-third ICMI study: Primary mathematics study on whole numbers (pp. 115-123). Macau: University of Macau.

  • O’Brien, T. C. (1999). Parrot math. The Phi Delta Kappan, 80(6), 434–438.

    Google Scholar 

  • OECD. (2013). PISA 2012 Results: What students know and can do – Student performance in mathematics, reading and science (Volume I). PISA, OECD Publishing.

  • Reid, A. (2001). Variation in the ways that instrumental and vocal students experience learning music. Music Education Research, 3(1), 25–40. doi:https://doi.org/10.1080/14613800020029932

    Article  Google Scholar 

  • Reid, D. A. (2015). What have we not been hearing about PISA? In S. Oesterle & D. Allan (Eds.). Proceedings of the 2014 Annual Meeting Canadian Mathematics Education Study Group/Groupe Canadien d’Étude en Didactique des Mathématiques (pp. 65–69). Edmonton, AB: CMESG/GCEDM.

  • Rodney, S., Rouleau, A., & Sinclair, N. (2016). A tale of two metaphors: Storylines about mathematics education in Canadian national media. Canadian Journal of Science, Mathematics and Technology Education, 16(4), 389–401. doi:https://doi.org/10.1080/14926156.2016.1235747

  • Runesson, U. (2005). Beyond discourse and interaction. Variation: a critical aspect for teaching and learning mathematics. Cambridge Journal of Education, 35(1), 69–87. doi: https://doi.org/10.1080/0305764042000332506

    Article  Google Scholar 

  • Runesson, U., & Marton, F. (2002). The object of learning and the space of variation. In F. Marton & P. Morris (Eds.), What matters? Discovering critical conditions of classroom learning (Göteborg studies in educational sciences) (pp. 19–37). Göteborg: Acta Universitatis Gothoburgensis.

  • Sands, A. (2014, June 4). Slipping math scores don’t equal a crisis, say math conference panel. Edmonton Journal. Retrieved July 5, 2014 from http://www.edmontonjournal.com/Slipping+math+scores+equal+crisis+says+math+conference+panel/9904436/story.html (No longer available.)

  • Savard, A. (2015). The performance of Québec students on PISA’s mathematics assessment: What’s going on in Québec? In S. Oesterle & D. Allan (Eds.). Proceedings of the 2014 Annual Meeting Canadian Mathematics Education Study Group/Groupe Canadien d’Étude en Didactique des Mathématiques (pp. 71–75). Edmonton, AB: CMESG/GCEDM.

  • Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18(1), 253–286. doi:https://doi.org/10.1177/0895904803260042

    Article  Google Scholar 

  • Spurgeon, D. (1967, April 26). ‘A lot of it is fraudulent … not an improvement at all’: New math is criticized as an attempt to avoid the basics of arithmetic. The Globe and Mail. Retrieved from https://search.proquest.com/hnpglobeandmail/docview/1270041905/35179AD9D6AF4706PQ/1?accountid=14474

  • Vashchyshyn, I. I., & Chernoff, E. J. (2018). Still warring after all these years: Obstacles to a transdisciplinary resolution of the math wars. In L. Jao & N. Radakovic (Eds.), Transdisciplinarity in mathematics education: Blurring disciplinary boundaries (pp. 151–172). Cham: Springer.

  • Wagner, D. (2015). PISA reporting: Not saying what PISA is and does. In S. Oesterle & D. Allan (Eds.). Proceedings of the 2014 Annual Meeting Canadian Mathematics Education Study Group/Groupe Canadien d’Étude en Didactique des Mathématiques (pp. 77–80). Edmonton, AB: CMESG/GCEDM.

  • Watson, A. (2008). School mathematics as a special kind of mathematics. For the Learning of Mathematics, 28(3), 3–7.

    Google Scholar 

  • Wells, P. (2016, September 3). No, teaching math the “old-fashioned way” won’t work. The Star. Retrieved from https://www.thestar.com/news/canada/2016/09/03/no-teaching-math-the-old-fashioned-way-wont-work-wells.html

Download references

Funding

The authors received financial support from an Insight Development Grant through the Social Sciences and Humanities Research Council of Canada.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Janelle McFeetors.

Appendix

Appendix

Online reader comments for the study were selected from the following newspaper articles:

Alphonso, C. (2013, December 3). Canada’s fall in math-education ranking sets off alarm bells. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/canadas-fall-in-math-education-ranking-sets-off-red-flags/article15730663/-dashboard/follows/

Alphonso, C. (2013, December 3). Canada’s falling math rankings renews push for national standards. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/canadas-falling-math-rankings-renews-push-for-national-standards/article15755434/-dashboard/follows/

Alphonso, C. (2014, March 25). Parents push Alberta curriculum back to math basics. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/parents-push-alberta-back-to-math-basics/article17654746/#dashboard/follows/

Alphonso, C. & Maki, A. (2014, January 7). Math wrath: Parents and teachers demanding a return to basic skills. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/petitions-press-provinces-to-put-emphasis-on-basic-math-skills/article16240118/-dashboard/follows/

Anderssen, E. (2014, March 1). Why the war over math is distracting and futile. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/why-the-war-over-math-is-distracting-and-futile/article17178295/

Blaze Carlson, K. (2014, January 10). Math wars: The division over how to improve test scores. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/making-the-grade-the-provincial-push-for-better-math-scores/article16290351/

Globe Editorial (2014, March 28). Math education: Mom, what’s a ‘times table’? The Globe and Mail. Retrieved from http://www.theglobeandmail.com/globe-debate/editorials/mom-whats-a-times-table/article17720558/

Hopper, T. (2014, February 28). Does ‘discovery learning’ prepare Alberta students for the 21st century or will it toss out a top tier education system? The National Post. Retrieved from Retrieved from http://news.nationalPost. Retrieved from com/2014/02/28/does-discovery-learning-prepare-alberta-students-for-the-21st-century-or-will-it-toss-out-a-top-tier-education-system/

Kay, J. (2014, March 25). Want to ‘empower’ your kid? Make her memorize the multiplication table. The National Post. Retrieved from http://fullcomment.nationalPost.com/2014/03/25/jonathan-kay-want-to-empower-your-kid-teach-them-the-multiplication-table/

MacDonald, M. (2013, September 13). Frustrated professors convince elementary schools to step back from ‘new math’ and go ‘back to basics.’ The National Post. Retrieved from http://news.nationalPost.com/2013/09/13/frustrated-professors-convince-schools-to-step-back-from-new-math-and-go-back-to-basics/

Morrow, A. (2014, January 8). Provinces stick with ‘discovery math’ despite back-to-basics push. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/politics/provinces-stick-with-discovery-math-despite-back-to-basics-push/article16250862/-dashboard/follows/

Renzetti, E. (2014, January 11). Math-obsessed parents should sit back, relax and count to 10. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/globe-debate/math-obsessed-parents-should-sit-back-relax-and-count-to-10/article16287959/-dashboard/follows/

Tran-Davies, N. (2014, January 1). Why one Alberta mom started a petition to change math education in 2014. The Globe and Mail. Retrieved from Retrieved from http://www.theglobeandmail.com/news/national/a-mothers-petition-in-2014-lets-change-math-education/article16150193/?ts=140620231954&ord=1#dashboard/follows/

Tran-Davies, N. (2014, March 10). Alberta’s discovery curriculum fails the kids. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/news/national/education/alberta-education-reforms-ignore-kids-parents/article17390684/

Wente, M. (2014, March 4). Canada’s math woes are adding up. The Globe and Mail. Retrieved from http://www.theglobeandmail.com/globe-debate/canadas-math-woes-are-adding-up/article17226537/#dashboard/follows/

Note: A repository of newspaper articles is accessible here:https://sites.google.com/a/ualberta.ca/mathnewsrepository/home

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

McFeetors, P.J., McGarvey, L.M. Public Perceptions of the Basic Skills Crisis. Can. J. Sci. Math. Techn. Educ. 19, 21–34 (2019). https://doi.org/10.1007/s42330-018-0016-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42330-018-0016-1

Keywords

Navigation