Comparing the Views of the Theory of Objectification and the Onto-Semiotic Approach on the School Algebra Nature and Learning

Autor/inn/en	Vergel, Rodolfo; Godino, Juan D.; Font, Vicenç; Pantano, Óscar L.
Titel	Comparing the Views of the Theory of Objectification and the Onto-Semiotic Approach on the School Algebra Nature and Learning
Quelle	In: Mathematics Education Research Journal, 35 (2023) 3, S.475-496 (22 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Vergel, Rodolfo)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1033-2170
DOI	10.1007/s13394-021-00400-y
Schlagwörter	Algebra; Semiotics; Mathematical Concepts; Theories; Mathematical Logic; Mathematical Models; Mathematics Skills; Thinking Skills + Suchen Sie Ihr Suchwort? Semiotik; Theory; Theorie; Mathematical logics; Mathematische Logik; Mathematical model; Mathematisches Modell; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Denkfähigkeit
Abstract	The theoretical reflection on the nature of school algebra and the development of algebraic thinking from the first educational levels is a relevant topic in mathematics education. In this paper, we first summarize and clarify the positions held on this topic by two theoretical frameworks: the Theory of Objectification and the Onto-semiotic Approach. We identify concordances and complementarities in the respective conceptions of algebra and of the processes of developing algebraic thinking, as a result of applying these frameworks to analyse some students' responses to a task on numerical patterns. We also analyse and compare the didactic models proposed in both theoretical frameworks for developing algebraic thinking. The analysis of the algebraic thinking and learning episodes is also used to illustrate a general discussion on the identity and boundaries of these theoretical frameworks and the possibilities of coordination and integration. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01