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From Data to Functions: Connecting Modelling Competencies and Statistical Literacy

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Trends in Teaching and Learning of Mathematical Modelling

Abstract

Over the last two decades, research on learning and teaching mathematical applications greatly advanced our understanding of the processes involved in mathematical modelling. However, the vast majority of examples and concepts developed so far barely include a key source of information: data. Numerical information generated from measurements of the quantities involved is used neither at the validation nor at the modelling step. We adopt a data-oriented approach. In the context of modelling functional relationships, we look at the relationship between modelling competencies and statistical literacy and provide empirical evidence that proficiency in these areas can be jointly improved.

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Notes

  1. 1.

    Does it pay to drive across the border to Luxemburg when the gas is cheaper there?

  2. 2.

    What is the maximum height to save people in a burning house with a new fire ladder?

  3. 3.

    www.stat.auckland.ac.nz/∼iase.

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Acknowledgment

The study has been supported by grants of Ludwigsburg University of Education.

Author information

Authors and Affiliations

  1. University of Education, Ludwigsburg, Reuteallee 46, 71634, Ludwigsburg, Germany

    Joachim Engel & Sebastian Kuntze

Authors
  1. Joachim Engel
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  2. Sebastian Kuntze
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Corresponding author

Correspondence to Joachim Engel .

Editor information

Editors and Affiliations

  1. FB Erziehungswissenschaft, Inst. Didaktik der Mathematik, Universität Hamburg, Von Melle Park 8, Hamburg, 20146, Germany

    Gabriele Kaiser

  2. Abt. Mathematik/Informatik, Universität Kassel, Kassel, 34109, Germany

    Werner Blum

  3. University of Hamburg, Germany, Doscherstrasse 1, Hamburg, 22083, Germany

    Rita Borromeo Ferri

  4. University of Melbourne, Australia, 23 Grampian Street, Victoria, 3072, Australia

    Gloria Stillman

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Engel, J., Kuntze, S. (2011). From Data to Functions: Connecting Modelling Competencies and Statistical Literacy. In: Kaiser, G., Blum, W., Borromeo Ferri, R., Stillman, G. (eds) Trends in Teaching and Learning of Mathematical Modelling. International Perspectives on the Teaching and Learning of Mathematical Modelling, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0910-2_39

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