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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Format: | Article |
Language: | English |
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MDPI AG
2021-07-01
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Series: | Mathematics |
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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. |
first_indexed | 2024-03-10T09:50:31Z |
format | Article |
id | doaj.art-0ffa6308a54646fb8ca8d8a77a5b7e0c |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T09:50:31Z |
publishDate | 2021-07-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
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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