Skip to main content

Mathematics Education in the Computational Age: Challenges and Opportunities

  • Conference paper
  • First Online:
  • 798 Accesses

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 313))

Abstract

In the spirit of Jonathan Borwein’s opportunistic and inventive use of computers in the development of the field of Experimental Mathematics, this paper recommends a computational ‘turn’ in school mathematics. At a time when students are increasingly moving away from mathematics in the senior years of schooling, we need to reconsider the relevance of current mathematics curricula and traditional approaches to mathematics pedagogy. Computational applications are transforming the world that we live in and just as Experimental Mathematics challenged the foundations of the discipline of mathematics, computational approaches are also changing almost all traditional fields of study. By persisting with the teaching of manual computation in school mathematics, we are denying the current and future worlds of our students. By doing so, we risk increasing our students’ lack of interest in mathematics as it will progressively be seen as an historical curiosity of little relevance. This paper proposes some key questions for mathematics educators to consider in order to make mathematics more relevant and of interest to today’s students.

Dedicated to the memory of my colleague Jonathan M. Borwein and his enthusiasm to challenge conventional thinking.

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   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
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

Learn about institutional subscriptions

References

  1. Bailey, D.H., Borwein, J.M.: Exploratory experimentation and computation. Not. AMS 58(10), 1410–1419 (2012)

    MathSciNet  MATH  Google Scholar 

  2. Hales, T., Adams, M., Bauer, G., Dang, T., Harrison, J., Hoang, L., Zumkeller, R.: A formal proof of the Kepler conjecture. Forum Math. Pi 5, e2 (2017). https://doi.org/10.1017/fmp.2017.1

  3. Borwein, J., Devlin, K.: The Computer As Crucible: An Introduction to Experimental Mathematics. AK Peters, Wellesley, MA (2008)

    Book  Google Scholar 

  4. CESE: Why Aren’t Students Studying Higher Level Maths? How ATAR Scaling may Affect Maths Uptake. Centre for Education Statistics and Evaluation, Sydney, NSW (2017)

    Google Scholar 

  5. Devine, A., Fawcett, K., Szucs, D., Dowker, A.: Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety. Behav. Brain Funct. 8, 33 (2012)

    Google Scholar 

  6. Rakes, C.: Challenging the status quo in mathematics: teaching for understanding. The Conversation. https://theconversation.com/challenging-the-status-quo-in-mathematics-teaching-for-understanding-78660. Accessed on 22 June 2016

  7. Rittle-Johnson, B., Schneider, M.: Developing conceptual and procedural knowledge of mathematics. In: Oxford Handbook of Numerical Cognition, pp. 1102–1118. OUP Oxford, Oxford (2014)

    Google Scholar 

  8. Rittle-Johnson, B., Alibali, M.W.: Conceptual and procedural knowledge of mathematics: does one lead to the other? J. Educ. Psychol. 91(1), 175 (1999)

    Article  Google Scholar 

  9. Rittle-Johnson, B.: Developing mathematics knowledge. Child Dev. Perspect. 11(3), 184–190 (2017)

    Article  Google Scholar 

  10. Benton, L., Hoyles, C., Kalas, I., Noss, R.: Bridging primary programming and mathematics: some findings of design research in England. Digit. Exp. Math. Educ. 3(2), 115–138 (2017)

    Article  Google Scholar 

  11. Prieto, E., Hickmott, D., Holmes, K., Berger, N.: Exploring mathematics using computational thinking: the scratchmaths pilot project. Paper presented at the 2018 MERGA conference, Albany, New Zealand (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kathryn Holmes .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Holmes, K. (2020). Mathematics Education in the Computational Age: Challenges and Opportunities. In: Bailey, D., et al. From Analysis to Visualization. JBCC 2017. Springer Proceedings in Mathematics & Statistics, vol 313. Springer, Cham. https://doi.org/10.1007/978-3-030-36568-4_10

Download citation

Publish with us

Policies and ethics