Lifting the Understanding of Trigonometric Limits from Procedural towards Conceptual

Autor/in	Nordlander, Maria Cortas
Titel	Lifting the Understanding of Trigonometric Limits from Procedural towards Conceptual
Quelle	In: International Journal of Mathematical Education in Science and Technology, 53 (2022) 11, S.2973-2986 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2021.1927226
Schlagwörter	Trigonometry; Mathematics Instruction; Concept Formation; Mathematical Concepts; Visual Aids; Computer Software; High School Students; Teaching Methods; Comparative Analysis; Instructional Effectiveness; Foreign Countries; Computer Assisted Instruction; Validity; Mathematical Logic; Sweden + Suchen Sie Ihr Suchwort? Trigonometrie; Mathematics lessons; Mathematikunterricht; Concept learning; Begriffsbildung; Anschauungsmaterial; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Teaching method; Lehrmethode; Unterrichtsmethode; Unterrichtserfolg; Ausland; Computer based training; Computerunterstützter Unterricht; Gültigkeit; Mathematical logics; Mathematische Logik; Schweden
Abstract	The purpose of this paper is to follow the reasoning of high school students when asked to explain the standard trigonometric limit lim/[theta][right arrow] sin[theta]/[theta]. An observational study was conducted in four different phases in order to investigate if visualization, by means of an interactive technology environment (Geogebra), can contribute in lifting high school students' understanding from a mere procedural understanding to a combination of conceptual and procedural understanding. The obtained results confirm that the students were able to show a conceptual understanding only after using the digital interactive tool. Through comparing, exploring and self-explaining combined with the use of the interactive tool, the students managed to link different concepts together. The students were able to see and interpret the reason making the angle [theta] and [theta] relate under certain conditions, thus leading to the standard trigonometric limit lim/[theta][right arrow] sin[theta]/[theta]. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01