Students' Intuitive Meanings for Infinite Series Convergence and Corresponding Implications [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (44th, Nashville, TN, Nov 17-20, 2022).

Autor/inn/en	Eckman, Derek; Roh, Kyeong Hah
Titel	Students' Intuitive Meanings for Infinite Series Convergence and Corresponding Implications [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (44th, Nashville, TN, Nov 17-20, 2022).
Quelle	(2022), (10 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Intuition; Mathematics Instruction; Undergraduate Students; Learning Processes; Thinking Skills; Problem Solving; Schemata (Cognition); Interviews; Constructivism (Learning); Teaching Methods; Mathematical Concepts + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Learning process; Lernprozess; Denkfähigkeit; Problemlösen; Cognition; Schema; Kognition; Interviewing; Interviewtechnik; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this running total appeared to approach an asymptotic value. We provide examples and three corresponding implications of this "asymptotic running total" that informed students' actions while determining series convergence or the value of convergence. Our paper adds to the research literature by confirming students' meanings for limits reported for other topics (e.g., limit of sequence, function, Taylor series) apply to infinite series and proposing relationships between previously reported meanings for series convergence. [For the complete proceedings, see ED630210.] (As Provided).
Anmerkungen	North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01