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The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project

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Teaching Mathematical Modelling: Connecting to Research and Practice

Abstract

For several years the competency of mathematical modelling has been prescribed as one of the central competencies in German educational standards in mathematics. This chapter reports results of the study of my master thesis, during which the effects of a short-term modelling project to the development of modelling competencies were evaluated. To evaluate the modelling project I developed a modelling test based on one designed by Houston, Haines, Crouch, Izard and others previously, which focussed on the development of the sub-competencies of mathematical modelling of students. Furthermore, five students were interviewed at the beginning and the end of the project to gain deeper insight into their development of modelling competencies. The results show that it is possible to foster at least students’ sub-competencies of mathematical modelling within a modelling project.

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References

  • Flick, U. (2000). Qualitative forschung. Reinbek: Rowohlt.

    Google Scholar 

  • Frejd, P., & Ärlebäck, J. B. (2011). First results from a study investigating Swedish upper secondary students’ mathematical modelling competencies. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 407–416). New York: Springer.

    Chapter  Google Scholar 

  • Haines, C., & Crouch, R. (2001). Recognizing constructs within mathematical modelling. Teaching Mathematics and Its Applications, 20(3), 129–138.

    Article  Google Scholar 

  • Houston, K., & Neill, N. (2003). Assessing modelling skills. In S. J. Lamon, W. A. Parker, & S. K. Houston (Eds.), Mathematical modelling: A way of life ICTMA11 (pp. 155–164). Chichester: Horwood.

    Google Scholar 

  • Kaiser, G., & Schwarz, B. (2006). Modellierungskompetenzen – Entwicklung im Unterricht und ihre Messung. In Beiträge zum Mathematikunterricht 2006 (pp. 56–58). Hildesheim: Franzbecker.

    Google Scholar 

  • Kaiser, G., & Sriraman, B. (2006). Theory usage and theoretical trends in Europe – A survey and preliminary analysis of CERME4 research reports. Zentralblatt für Didaktik der Mathematik, 38(1), 22–51.

    Article  Google Scholar 

  • Maaß, K. (2004). Mathematisches Modellieren im Unterricht. Ergebnisse einer empirischen Studie. Hildesheim: Franzbecker.

    Google Scholar 

  • Maaß, K. (2006). What are modeling competencies? Zentralblatt für Didaktik der Mathematik, 38(2), 113–142.

    Article  Google Scholar 

  • Maaß, K. (2007). Mathematisches Modellieren. Aufgaben für die Sekundarstufe I. Berlin: Cornelsen.

    Google Scholar 

  • Schwarz, B., Kaiser, G., & Buchholtz, N. (2008). Vertiefende qualitative Analyse zur professionellen Kompetenz angehender Mathematiklehrkräfte am Beispiel von Modellierung und Realitätsbezügen. In S. Blömeke, G. Kaiser, & R. Lehmann (Eds.), Professionelle Kompetenz angehender Lehrerinnen und Lehrer. Wissen, Überzeugungen und Lerngelegenheiten deutscher Mathematikstudierender und -referendare. Erste Ergebnisse zur Wirksamkeit der Lehrerausbildung (pp. 391–424). Münster: Waxmann.

    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). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Zöttl, L. (2010). Modellierungskompetenz fördern mit heuristischen Lösungsbeispielen. Hildesheim: Franzbecker.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Education, Didactics of Mathematics, University of Hamburg, Hamburg, Germany

    Susanne Grünewald

Authors
  1. Susanne Grünewald
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Correspondence to Susanne Grünewald .

Editor information

Editors and Affiliations

  1. Education VIC | Faculty of Education, Australian Catholic University, Ballarat, Victoria, Australia

    Gloria Ann Stillman

  2. Faculty of Education, University of Hamburg, Hamburg, Germany

    Gabriele Kaiser

  3. Department of Mathematics, University of Kassel, Kassel, Germany

    Werner Blum

  4. Education VIC | Faculty of Education, Australian Catholic University, Melbourne, Victoria, Australia

    Jill P. Brown

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Grünewald, S. (2013). The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project. 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_16

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