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A Tool for the Analysis and Characterization of School Mathematical Models

Author

Listed:
  • Jesús Montejo-Gámez

    (Department of Mathematics Education, University of Granada, 18011 Granada, Spain)

  • Elvira Fernández-Ahumada

    (Department of Mathematics, University of Córdoba, 14071 Córdoba, Spain)

  • Natividad Adamuz-Povedano

    (Department of Mathematics, University of Córdoba, 14071 Córdoba, Spain)

Abstract

This paper shows a tool for the analysis of written productions that allows for the characterization of the mathematical models that students develop when solving modeling tasks. For this purpose, different conceptualizations of mathematical models in education are discussed, paying special attention to the evidence that characterizes a school model. The discussion leads to the consideration of three components, which constitute the main categories of the proposed tool: the real system to be modeled, its mathematization and the representations used to express both. These categories and the corresponding analysis procedure are explained and illustrated through two working examples, which expose the value of the tool in establishing the foci of analysis when investigating school models, and thus, suggest modeling skills. The connection of this tool with other approaches to educational research on mathematical modeling is also discussed.

Suggested Citation

  • Jesús Montejo-Gámez & Elvira Fernández-Ahumada & Natividad Adamuz-Povedano, 2021. "A Tool for the Analysis and Characterization of School Mathematical Models," Mathematics, MDPI, vol. 9(13), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1569-:d:588123
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