Prospective Mathematics Teachers' Knowledge of Asymptotes and Asymptotic Behaviour in Calculus

Autor/inn/en	Katalenic, Ana; Cižmešija, Aleksandra; Milin Šipuš, Željka
Titel	Prospective Mathematics Teachers' Knowledge of Asymptotes and Asymptotic Behaviour in Calculus
Quelle	In: International Journal of Science and Mathematics Education, 21 (2023) 1, S.131-158 (28 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Katalenic, Ana) ORCID (Cižmešija, Aleksandra) ORCID (Milin Šipuš, Željka)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1571-0068
DOI	10.1007/s10763-022-10247-9
Schlagwörter	Preservice Teachers; Mathematics Teachers; Knowledge Level; Mathematical Concepts; Calculus; Algebra; Mathematical Formulas + Suchen Sie Ihr Suchwort? Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Wissensbasis; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematische Formel
Abstract	This paper examines prospective mathematics teachers' knowledge of asymptotes and asymptotic behaviour of functions in calculus. They are university students and future facilitators of knowledge in upper secondary education. We constructed a "reference epistemological model" to describe the knowledge about asymptotes for upper secondary and university education and explored prospective teachers' relations to targeted knowledge. The study was conducted within the Anthropological Theory of the Didactic as a suitable framework to analyse and interpret knowledge of mathematical notions. Prospective teachers participated in three questionnaires with open, non-routine questions on different aspects of the notion of asymptotes. An analysis showed their knowledge was fragmented and their work relied heavily on algebraic manipulation and memorized formulas from calculus. The results indicated that knowledge of asymptotes and asymptotic behaviour is a potentially powerful context for developing knowledge related to the limits of functions in calculus. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01