Skip to main content

Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tuna

  • Chapter
  • First Online:
Teaching Mathematical Modelling: Connecting to Research and Practice

Abstract

Nature and the constructed world in which students live have provided suitable sources of tasks for junior high school students in the past. The decreasing number of bluefin tuna was considered another appropriate context. Students were asked to provide a mathematical solution to this problem, utilising data on the number of bluefin and the catch of bluefin in the past. Three different mathematical approaches, appropriate to the educational level of the students involved, were taken to considering the decline in bluefin tuna. Year 7 students used a proportional model, Year 8 students used linear function models, and in Year 9 students used recurring formula models. Each set of models was appropriate to the mathematics in the curricula at the level. The aim of this mathematical modelling activity was to develop people with the skills to lead the way in our society.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
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

Similar content being viewed by others

References

  • Black, R. (2010, March 18). Bluefin tuna ban proposal meets rejection. BBC News. Retrieved from http://news.bbc.co.uk

  • Matsumiya, T., Yanagimoto, A., & Mori, Y. (1989). Mathematics of a lake – Problem solving in the real world. In W. Blum, M. Niss, & I. Huntley (Eds.), Modelling, applications and applied problem solving (pp. 87–97). Chichester: Ellis Horwood.

    Google Scholar 

  • Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 3–32). New York: Springer.

    Google Scholar 

  • Organization for the Promotion of Responsible Tuna Fisheries. (2006). A graph of fish catches of Bluefin tuna. Retrieved from http://www.oprt.or.jp/c27.htm

  • Yanagimoto, A. (2003). Environmental problems and mathematical modelling. In S. J. Lamon, W. A. Parker, & S. K. Houston (Eds.), Mathematical modelling: A way of life, ICTMA11 (pp. 53–60). Chichester: Ellis Horwood.

    Google Scholar 

  • Yanagimoto, A., & Yoshimura, N. (2001). Mathematics of traffic safety – Composite real mathematics approach. In J. F. Matos, W. Blum, S. K. Houston, & S. P. Carreira (Eds.), Modelling and mathematics education – ICTMA9 (pp. 401–410). Chichester: Ellis Horwood.

    Google Scholar 

  • Yanagimoto, A., Mori, Y., & Matsumiya, T. (1993). Mathematics of track and field events – Composite real mathematics approach. In T. Breiteig, I. Huntley, & G. Kaiser-Messmer (Eds.), Teaching and learning mathematics in context (pp. 115–126). Chichester: Ellis Horwood.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Akira Yanagimoto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Yanagimoto, A., Yoshimura, N. (2013). Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tuna. In: Stillman, G., Kaiser, G., Blum, W., Brown, J. (eds) Teaching Mathematical Modelling: Connecting to Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6540-5_20

Download citation

Publish with us

Policies and ethics