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Mathematical modelling as a tool for the connection of school mathematics

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Abstract

We start introducing some aspects of the theoretical framework: the Anthropological Theory of Didactics (ATD). Then, we consider on the research domain commonly known as “modelling and applications” and briefly describe its evolution using the ATD as an analytical tool. We propose a reformulation of the modelling processes from the point of view of the ATD, which is useful to identify new educational phenomena and to propose and tackle new research problems. Finally, we focus on the problem of the connection of school mathematics. The reformulation of the modelling processes emerges as a didactic tool to tackle this research problem. We work on the problem of the articulation of the study of functional relationships in Secondary Education and present a teaching proposal designed to reduce the disconnection in the study of functional relationships in Spanish Secondary Education.

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Authors and Affiliations

  1. Department of Didactic of Sciences, University of Jaén, Campus de Las Lagunillas s/n-Edificio D2, 23071, Jaén, Spain

    Francisco Javier Garcia & Luisa Ruiz Higueras

  2. Department of Mathematics, Autonomic University of Barcelona UAB Campus-Edifici C, 08193, Bellatera (Cerdanyola del Vallès), Spain

    Josep Gascón Pérez

  3. Department of Applied Statistics, Fundemi IQS-Ramon Llull University, Torrent de les Flors, 68, 08024, Barcelona, Spain

    Marianna Bosch Casabó

Authors
  1. Francisco Javier Garcia
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  2. Josep Gascón Pérez
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  3. Luisa Ruiz Higueras
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  4. Marianna Bosch Casabó
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Garcia, F.J., Pérez, J.G., Higueras, L.R. et al. Mathematical modelling as a tool for the connection of school mathematics. Zentralblatt für Didaktik der Mathematik 38, 226–246 (2006). https://doi.org/10.1007/BF02652807

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