A Tool for the Analysis and Characterization of School Mathematical Models

Jesús Montejo-Gámez, Elvira Fernández-Ahumada and Natividad Adamuz-Povedano
Additional contact information
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

Mathematics, 2021, vol. 9, issue 13, 1-16

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.

Keywords: mathematical modeling; school models; research tools (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/13/1569/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/13/1569/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:13:p:1569-:d:588123

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().