A Tool for the Analysis and Characterization of School Mathematical Models

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 attentio...

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Main Authors: Jesús Montejo-Gámez, Elvira Fernández-Ahumada, Natividad Adamuz-Povedano
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/13/1569
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author Jesús Montejo-Gámez
Elvira Fernández-Ahumada
Natividad Adamuz-Povedano
author_facet Jesús Montejo-Gámez
Elvira Fernández-Ahumada
Natividad Adamuz-Povedano
author_sort Jesús Montejo-Gámez
collection DOAJ
description 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.
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spelling doaj.art-0ffa6308a54646fb8ca8d8a77a5b7e0c2023-11-22T02:46:21ZengMDPI AGMathematics2227-73902021-07-01913156910.3390/math9131569A Tool for the Analysis and Characterization of School Mathematical ModelsJesús Montejo-Gámez0Elvira Fernández-Ahumada1Natividad Adamuz-Povedano2Department of Mathematics Education, University of Granada, 18011 Granada, SpainDepartment of Mathematics, University of Córdoba, 14071 Córdoba, SpainDepartment of Mathematics, University of Córdoba, 14071 Córdoba, SpainThis 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.https://www.mdpi.com/2227-7390/9/13/1569mathematical modelingschool modelsresearch tools
spellingShingle Jesús Montejo-Gámez
Elvira Fernández-Ahumada
Natividad Adamuz-Povedano
A Tool for the Analysis and Characterization of School Mathematical Models
Mathematics
mathematical modeling
school models
research tools
title A Tool for the Analysis and Characterization of School Mathematical Models
title_full A Tool for the Analysis and Characterization of School Mathematical Models
title_fullStr A Tool for the Analysis and Characterization of School Mathematical Models
title_full_unstemmed A Tool for the Analysis and Characterization of School Mathematical Models
title_short A Tool for the Analysis and Characterization of School Mathematical Models
title_sort tool for the analysis and characterization of school mathematical models
topic mathematical modeling
school models
research tools
url https://www.mdpi.com/2227-7390/9/13/1569
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