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2023

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cc by (c) Ledezma, Carlos et al., 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/207549

Analysing the mathematical activity in a modelling process from the cognitive and the onto-semiotic perspectives

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https://doi.org/10.1007/s13394-022-00411-3

Abstract

The aim of this article is to carry out a work of networking theories which combines two perspectives on the mathematical activity involved in a modelling process, in order to answer the following question: To what extent does the application of the onto-semiotic tools complement the analysis from a cognitive perspective of a mathematical modelling process? To this end, we considered two theoretical frameworks: on the one hand, the onto-semiotic approach, which provides tools for the analysis of any mathematical activity and which here we applied to the activity of modelling; on the other hand, the modelling cycle from a cognitive perspective, which is a refection on the specifc mathematical activity of modelling. Then, we took a modelling problem that we applied to prospective mathematics teachers (at undergraduate and postgraduate level), and we analysed it from the perspective of both frameworks, in order to identify concordances and complementarities between these two ways of analysing the mathematical activity involved in the modelling process. The main conclusion is that both frameworks complement each other for a more detailed analysis of the mathematical activity that underlies the modelling process. Specifcally, the analysis with the tools provided by the onto-semiotic approach reveals the phases or transitions of the modelling cycle as a conglomerate of mathematical practices, processes, and the primary objects activated in these practices.

Subject

Xarxes semàntiques (Teoria de la informació), Models matemàtics, Semiòtica, Cognició

Subject (English)

Semantic networks (Information theory), Mathematical models, Semiotics, Cognition

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Articles publicats en revistes (Educació Lingüística, Científica i Matemàtica)

Citation

LEDEZMA, Carlos, FONT MOLL, Vicenç and SALA SEBASTIÀ, Gemma. Analysing the mathematical activity in a modelling process from the cognitive and the onto-semiotic perspectives. Mathematics Education Research Journal. 2023. Vol. 35, num. 715-741. ISSN 1033-2170. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/207549

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