Pre-Service Teachers' Understanding of the Derivative of a Function at a Point

Autor/inn/en	Vargas González, María Fernanda; Fernández-Plaza, José Antonio; Ruiz Hidalgo, Juan Francisco
Titel	Pre-Service Teachers' Understanding of the Derivative of a Function at a Point
Quelle	In: International Journal of Mathematical Education in Science and Technology, 54 (2023) 4, S.483-510 (28 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Vargas González, María Fernanda) ORCID (Fernández-Plaza, José Antonio) ORCID (Ruiz Hidalgo, Juan Francisco)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2021.1957504
Schlagwörter	Preservice Teachers; Knowledge Level; Mathematical Concepts; Semantics; Mathematics Teachers; Mathematics Education; Foreign Countries; Algebra; Mathematics Skills; Problem Solving; Spain + Suchen Sie Ihr Suchwort? Wissensbasis; Semantik; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathematische Bildung; Ausland; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Problemlösen; Spanien
Abstract	This article aims to delve into the meaning of school mathematical concepts by their semantic analysis. Concretely, this paper aimed primarily to describe and characterize the meaning of derivative of a function at a point expressed by mathematics pre-service teachers. In order to achieve this goal, we use a semantic framework, in which the meaning is composed of: (a) conceptual structure, (b) representation systems, and (c) sense and usage. This qualitative, descriptive study analysed the replies of 37 pre-service teachers to questions involving the definition, requirements, and structural concept of derivatives. It also explores the sense and usage attributed by participants to this mathematical concept. At least five profiles of meanings for derivatives could be constructed from the results. The most prominent findings included the prevalence of the geometric interpretation of the concept and participants' failure to mention elements and requisites essential to the definition of derivatives. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01