Representational Fluency in Calculating Volume: An Investigation of Students' Conceptions of the Definite Integral

Autor/in	Gulkilik, Hilal
Titel	Representational Fluency in Calculating Volume: An Investigation of Students' Conceptions of the Definite Integral
Quelle	In: International Journal of Mathematical Education in Science and Technology, 53 (2022) 11, S.3092-3114 (23 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Gulkilik, Hilal)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2021.1958943
Schlagwörter	Calculus; Problem Solving; Mathematical Concepts; College Students; Foreign Countries; Concept Formation; Geometry; Turkey + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Problemlösen; Collegestudent; Ausland; Concept learning; Begriffsbildung; Geometrie; Türkei
Abstract	The purpose of this study was to investigate university students' conceptions of the definite integral in the process of finding the volume of a solid of revolution. The participants were four students enrolled in a university calculus course in Turkey. Data were obtained by task-based interviews, in which the participants had to work on a problem about calculating the volume of a solid of revolution. Representational fluency was used as a lens to analyze the conceptions of the students. Results indicated that the students imagined certain aspects of one main summation conception of the definite integral at different times in calculating the volume of the solid. They also used the conceptions of function matching and perimeter and area/boundary and volume. The students were comfortable explaining what they were doing in the solution if their conceptions of the definite integral allowed them to understand integral notation and build representational fluency. Implications based on the different conceptions that the students used and the representational fluency that they developed were discussed. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01