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Abstract

Comments and thoughts raised by Henry Pollak’s plenary are reflected on at the meta-level and on the basis of a “mathematical modelling map” which the reactor created as a simple instrument opening a field between applied and pure mathematics as well as between theoretical aspects and empirical results concerning teaching and learning of mathematical modelling. This map also shows Henry Pollak’s and the reactor’s position within this map and their “moves” in order to give an insight into two “generations” of mathematical modellers.

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References

  • Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 15–30). New York: Springer.

    Chapter  Google Scholar 

  • Borromeo Ferri, R. (2007). Modelling from a cognitive perspective. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling: Education, engineering and economics (ICTMA 12) (pp. 260–270). Chichester: Horwood Publishing.

    Chapter  Google Scholar 

  • Borromeo Ferri, R., & Blum, W. (2009). Mathematical modelling in teacher education – Experiences from a modelling seminar. In European Society for Research in Mathematics Education (Eds.). Proceedings of CERME 6 (pp. 2046–2055). Lyon: European Society for Research in Mathematics Education.

    Google Scholar 

  • Borromeo Ferri, R., & Lesh, R. (2013). Should interpretation systems be considered to be models if they only function implicitly? In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. 57–66). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Kaiser-Meßmer, G. (1986). Anwendungen im Mathematikunterricht. Vol. 1 – Theoretische Konzeptionen. Vol. 2 – Empirische Untersuchungen. Bad Salzdetfurth: Franzbecker.

    Google Scholar 

  • Kaiser, G., & Schwarz, B. (2010). Authentic modelling problems in mathematics education – examples and experiences. Journal für Mathematik-Didaktik, 31(1), 51–76.

    Article  Google Scholar 

  • Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modeling in mathematics education. ZDM – The International Journal on Mathematics Education, 38(3), 302–310.

    Article  Google Scholar 

  • Pollak, H. O. (1979). The interaction between mathematics and other school subjects. In UNESCO (Ed.), New trends in mathematics teaching IV (pp. 232–248). Paris: OECD.

    Google Scholar 

  • Stillman, G. (2011). Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling: ICTMA14 (pp. 165–180). New York: Springer.

    Chapter  Google Scholar 

  • Stillman, G., Brown, J., & Galbraith, P. (2010). Identifying challenges within transition phases of mathematical modeling activities at year 9. In R. Lesh, P. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modelling students’ mathematical modeling competencies: ICTMA13 (pp. 385–398). New York: Springer.

    Chapter  Google Scholar 

  • Treilibs, V., Burkhardt, H., & Low, B. (1980). Formulation processes in mathematical modelling. Nottingham: Shell Centre for Mathematical Education.

    Google Scholar 

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Correspondence to Rita Borromeo Ferri .

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Borromeo Ferri, R. (2015). Moving Within a Mathematical Modelling Map. 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_22

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