Skip to main content

Olympification Versus Aesthetization: The Appeal of Mathematics Outside the Classroom

  • Chapter
  • First Online:
Educational Research: Material Culture and Its Representation

Part of the book series: Educational Research ((EDRE,volume 8))

Abstract

In this chapter we explore how mathematics education is caught by a meritocratic sense of the useful and how it could benefit from a more creative and experiential approach. The notion of olympification in mathematics education comes to the fore in the analysis of the differences between the measurements of PISA and TIMSS, further detailed by an example of Flanders (Belgium). Besides the observation of the olympification we consider the possibility of another perspective on mathematics education, looking at a way of bringing classroom mathematics in interaction with the material grounding of mathematics and with other experiences in life. Based on the content analysis of eight international journals concerning mathematical education we demonstrate the extent in which teachers and researchers take care of outside classroom experiences as possible input for a mathematical curiosity and understanding. Focusing on the relation between mathematics and art we will shortly explore different examples of mathematics within the arts. Finally we bring an example of how a mathematician can creatively bring mathematics outside the classroom.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
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

Institutional subscriptions

Notes

  1. 1.

    E.g. American Scientist, Leonardo, European Review, Educational philosophy and Theory, Journal of Aesthetic Education, Nature.

  2. 2.

    In 2008 the 2nd international symposium on Mathematics and its Connections to the Arts and Sciences; The Bridges Conferences on Mathematics and Arts (in 2006 in London, see Sharp 2012).

  3. 3.

    E.g. For Albrecht Dürer (Silver 2012).

  4. 4.

    Which we could of course do, witness our contribution to one of the previous conferences of this research community and published in the related book series, see Van Bendegem and Coessens (2009).

  5. 5.

    Namely Jean Paul Van Bendegem. Karen François was present at preparatory meetings. The initiative came from the department for cultural activities of the Vrije Universiteit Brussel and the set-up of the exhibition was in hands of Beeldenstorm, an artistic project group based in Anderlecht, also in Brussels.

  6. 6.

    For a presentation of what the study of mathematical practice is about and how it is situated in the larger field of the philosophy of mathematics, see Van Bendegem and Van Kerkhove (2007), De Vuyst et al. (2010), and Giardino et al. (2012).

  7. 7.

    The starting point of this development is to be found in Lakatos (1976) where for the first time a method or, in his own words, even a logic of mathematical discovery is proposed.

  8. 8.

    See http://www.cut-the-knot.org/pythagoras/index.shtml (retrieved Friday 2 November 2012) for almost 100 different versions.

  9. 9.

    Who in addition is locally very famous in Flanders thus for most visitors there is the immediate realisation that it is indeed an actor who is explaining the proof.

References

  • Bishop, A. J. (1988). Mathematical enculturation, a cultural perspective on mathematics education (Mathematics Education Library, Vol. 6). Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • D’Ambrosio, U. (1990). The history of mathematics and ethnomathematics. How a native culture intervenes in the process of learning science. Impact of Science on Society, 40(4), 369–377.

    Google Scholar 

  • De Meyer, I., Pauly, J., & Van de Poele, L. (2004). Leren voor de problemen van morgen. De eerste resultaten van PISA 2003, OECD/PISA. Gent: Ministerie van de Vlaamse Gemeenschap, Departement Onderwijs, Universiteit Gent, Vakgroep Onderwijskunde.

    Google Scholar 

  • De Vuyst, J., Van Kerkhove, B., & Van Bendegem, J. P. (Eds.). (2010). Philosophical perspectives on mathematical practice. London: College Publications.

    Google Scholar 

  • François, K. (2008). Politiek van de wiskunde. Brussel: VUBPRESS.

    Google Scholar 

  • François, K., Monteiro, C., & Vanhoof, S. (2013). Mathematical and statistical literacy. An analysis based on PISA results. Revista de Educação Matemática e Tecnológica Iberoamericana, 4(1), 1–16.

    Google Scholar 

  • Giardino, V., Moktefi, A., Mols, S., & Van Bendegem, J. P. (Eds.). (2012). From practice to results in mathematics and logic (Special issue). Philosophia Scientiae, 16(1).

    Google Scholar 

  • Groenez, S., Van den Brande, I., & Nicaise, I. (2003). Cijferboek sociale ongelijkheid in het Vlaamse onderwijs, Een verkennend onderzoek op de Panelstudie van Belgische Huishoudens. Onderzoek in opdracht van de Vlaamse minister van Onderwijs en Vorming, in het kader van het programma, Steunpunten voor Beleidsrelevant Onderzoek, Leuven: LOA-rapport nr. 10.

    Google Scholar 

  • Hirtt, N., Nicaise, I., & De Zutter, D. (2007). De school van de ongelijkheid. Berchem: EPO.

    Google Scholar 

  • Hutchison, D., & Schagen, I. (2007). Comparisons between PISA and TIMSS: Are we the man with two watches? In T. Loveless (Ed.), Lessons learned: What international assessments tell us about math achievement (pp. 227–261). Washington, DC: Brookings Institution Press.

    Google Scholar 

  • Lakatos, I. (1976). Proofs and refutations. The logic of mathematical discovery. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Noë, A. (2000). Experiment and experience in art. Journal of Consciousness Studies, 7(8–9), 123–135.

    Google Scholar 

  • Nunes, T., Dias Schliemann, A., & Carraher, D. W. (1993). Street mathematics and school mathematics. Cambridge: Cambridge University Press.

    Google Scholar 

  • Nunes Carraher, T., Carraher, D. W., & Dias Schliemann, A. (1982). Na vida dez, na escola zero. Os contextos culturais da aprendizagem da matematica. Do Mestrado em Psicologia—Universidade Federal de Pernambuco—Brazil, Cad. Pesq, 42, 79–86.

    Google Scholar 

  • Nunes Carraher, T., Carraher, D. W., & Dias Schliemann, A. (1988). Na vida dez, na escola zero. São Paulo: Cortez.

    Google Scholar 

  • Organisation for Economic Co-operation and Development. (2004). Learning for tomorrow’s world: First results from PISA 2003. Paris: OECD.

    Google Scholar 

  • Organisation for Economic Co-operation and Development. (2005). PISA 2003 technical report. Paris: OECD.

    Google Scholar 

  • Polkinghorne, J. (2011). The meaning of mathematics. Oxford: Oxford University Press.

    Google Scholar 

  • Serres, M. (1989). Gnomon: Les débuts de la géométrie en Grèce. In M. Serres (Ed.), Eléments d’histoire des sciences (pp. 95–153). Paris: Larousse.

    Google Scholar 

  • Sharp, J. (2012). Mathematics and art. Mathematics Teaching, 226, 20–23.

    Google Scholar 

  • Silver, D. S. (2012). Slicing a cone for art and science. American Scientist, 100, 408–415.

    Google Scholar 

  • Steiner, M. (2011). Getting more out of mathematics than what we put in. In J. Polkinghorne (Ed.), Meaning in mathematics (pp. 135–143). Oxford: Oxford University Press.

    Google Scholar 

  • Sukumaran, S. (2009). Generation of fractal music with Mandelbrot set. Global Journal of Computer Science and Technology, 9(4), 127–130.

    Google Scholar 

  • Van Bendegem, J. P., & Coessens, K. (2009). Arguments and proofs about arguments and proofs. In P. Smeyers & M. Depaepe (Eds.), Educational research. Proofs, arguments, and other reasonings: The language of education (pp. 27–42). Dordrecht: Springer.

    Google Scholar 

  • Van Bendegem, J. P., & Van Kerkhove, B. (Eds.). (2007). Perspectives on mathematical practices. Bringing together philosophy of mathematics, sociology of mathematics, and mathematics education. Dordrecht: Springer.

    Google Scholar 

  • Wilders, R., & VanOyen, L. (2011). Turning students into symmetry detectives. Mathematics Teaching in the Middle School, 17(2), 103–107.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kathleen Coessens .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Coessens, K., François, K., Van Bendegem, J.P. (2014). Olympification Versus Aesthetization: The Appeal of Mathematics Outside the Classroom. In: Smeyers, P., Depaepe, M. (eds) Educational Research: Material Culture and Its Representation. Educational Research, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-03083-8_11

Download citation

Publish with us

Policies and ethics