Abstract
The problem of the income and expenditure of an electric power company was taken up as a teaching material for mathematical modelling. This teaching experiment focused on students making assumptions and validating results in mathematical modelling when posing their own solutions to the company’s financial deficit problem. As a result, it was confirmed that, in general, Japanese students are not able to make assumptions appropriately from complicated real-life problems and that students’ modelling skills in handling uncertain numerical values and conditions were acquired through their discussion about the correct answers. In addition, it demonstrated that it is possible to use mathematical modelling teaching materials which deal with the income and expenditure of an electric power company for instructing junior high school students in Year 9.
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References
Caron, F., & Bélair, J. (2007). Exploring university students’ competencies in modelling. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling ICTMA 12: Education, engineering and economics (pp. 120–129). Chichester: Horwood.
Galbraith, P., Stillman, G., & Brown, J. (2010). Turning ideas into modelling problems. In R. Lesh, P. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modelling students’ mathematical competencies (pp. 133–144). New York: Springer.
Julie, C., & Mudaly, V. (2007). Mathematical modelling of social issues in school mathematics in South Africa. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 503–510). New York: Springer.
Maaß, K. (2010). Classification scheme for modelling tasks. Journal für Mathematik-Didaktik (Journal for Didactics of Mathematics), 31(2), 285–311.
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.
Yanagimoto, A., & Yoshimura, N. (2013). Mathematical modelling of a real-world problem: The decreasing number of bluefin tuna. In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Blum (Eds.), Mathematical modelling: Connecting to research and practice (pp. 229–239). Dordrecht: Springer.
Yoshimura, N., & Yanagimoto, A. (2013). Mathematical modelling of a real-world problem: Pension tax issues. In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Brown (Eds.), Mathematical modelling: Connecting to research and practice (pp. 241–251). Dordrecht: Springer.
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Yoshimura, N. (2015). Mathematical Modelling of a Social Problem in Japan: The Income and Expenditure of an Electric Power Company. In: Stillman, G., Blum, W., Salett Biembengut, M. (eds) Mathematical Modelling in Education Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-319-18272-8_20
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DOI: https://doi.org/10.1007/978-3-319-18272-8_20
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18271-1
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