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.
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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.
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.
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.
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.
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.
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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
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DOI: https://doi.org/10.1007/978-94-007-6540-5_20
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