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Modelling Task Design: Science Teachers’ View

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Mathematical Modelling and Applications

Abstract

A seminar was organised to promote interdisciplinary work between teachers from different departments at a university in order to design pedagogical situations to teach mathematical modelling in the first years of higher education. This chapter presents the views of teachers from different disciplines related to skills needed to work with models in physics, biology and mathematics. The participants discussed how models are present in their courses. They also highlight the students’ skills that are relevant to success in working with models in sciences. The main findings were that interpreting graphs and structuring a model with information from other models are considered relevant competences by the sample of science teachers. The discussion on designing teaching activities also revealed the university teachers’ conceptions regarding mathematical modelling and models.

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References

  • Ashmann, S., Zawojewski, J., & Bowman, K. (2006). Integrated mathematics and science teacher education courses: A modelling perspective. Canadian Journal of Science, Mathematics and Technology Education, 6(2), 189–200.

    Article  Google Scholar 

  • Bock, W., & Bracke, M. (2013). Project teaching and mathematical modelling in STEM subjects: A design based research study. In B. Ubuz, C. Haser, & M. Mariotti (Eds.), Proceedings of the eighth congress of the European Society for Research in Mathematics Education (pp. 1010–1020). Antalya: European Society for Research in Mathematics Education.

    Google Scholar 

  • Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching: International Research and Pedagogy, 15(1), 13–33.

    Article  Google Scholar 

  • Frejd, P. (2012). Teachers’ conceptions of mathematical modelling at Swedish upper secondary school. Journal of Mathematical Modelling and Application, 1(5), 17–40.

    Google Scholar 

  • Guyton, A., & Hall, J. (2006). Textbook of medical physiology. Philadelphia: Elservier.

    Google Scholar 

  • Haines, C. (2011). Drivers for mathematical modelling: Pragmatism in practice. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 349–365). New York: Springer.

    Chapter  Google Scholar 

  • Hestenes, D. (2010). Modeling theory for math and science education. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modeling students’ mathematical modeling competencies (pp. 13–41). New York: Springer.

    Chapter  Google Scholar 

  • Justi, R., & Gilbert, J. (2003). Teachers’ views on the nature of models. International Journal of Science Education, 25(11), 1369–1386.

    Article  Google Scholar 

  • Kapur, J. N. (1982). The art of teaching the art of mathematical modelling. International Journal of Mathematical Education in Science and Technology, 13(2), 185–192.

    Article  Google Scholar 

  • Kawasaki, T., & Moriya, S. (2011). Using modelling experiences to develop Japanese senior high school students’ awareness of the interrelations between mathematics and science. In G. Kaiser, W. Blum, R. Borromeo, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 603–615). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Leithold, L. (1998). El cálculo (7th ed.). Harla: Oxford University Press.

    Google Scholar 

  • Michelsen, C. (2006). Functions: A modelling tool in mathematics and science. Zentralblatt für Didaktik der Mathematik, 38(23), 269–280.

    Article  Google Scholar 

  • Stake, R. (1999). Investigación con estudio de casos. Madrid: Ediciones Morata.

    Google Scholar 

  • Young, H., & Freedman, R. (2009). Física universitaria (Vol. 1, 12th ed.). México: Pearson Educación.

    Google Scholar 

Download references

Acknowledgements

This work was supported by CONICYT/FONDECYT/POSDOCTORADO/No.3150317 and FONDECYT REGULAR, No. 1151093.

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Correspondence to Carolina Guerrero-Ortiz .

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Guerrero-Ortiz, C., Mena-Lorca, J. (2017). Modelling Task Design: Science Teachers’ View. In: Stillman, G., Blum, W., Kaiser, G. (eds) Mathematical Modelling and Applications. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-319-62968-1_32

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  • DOI: https://doi.org/10.1007/978-3-319-62968-1_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62967-4

  • Online ISBN: 978-3-319-62968-1

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