Analysing the Mathematical Activity in a Modelling Process from the Cognitive and Onto-Semiotic Perspectives

Autor/inn/en	Ledezma, Carlos; Font, Vicenç; Sala, Gemma
Titel	Analysing the Mathematical Activity in a Modelling Process from the Cognitive and Onto-Semiotic Perspectives
Quelle	In: Mathematics Education Research Journal, 35 (2023) 4, S.715-741 (27 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Ledezma, Carlos) ORCID (Font, Vicenç) ORCID (Sala, Gemma)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1033-2170
DOI	10.1007/s13394-022-00411-3
Schlagwörter	Mathematics Activities; Mathematical Models; Cognitive Processes; Semiotics; Undergraduate Students + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; Cognitive process; Kognitiver Prozess; Semiotik
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 reflection on the specific 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. Specifically, 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. (As Provided).
Anmerkungen	Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01