Envisioning the Infinite by Projecting Finite Properties

Autor/in	Ely, Robert
Titel	Envisioning the Infinite by Projecting Finite Properties
Quelle	In: Journal of Mathematical Behavior, 30 (2011) 1, S.1-18 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0732-3123
DOI	10.1016/j.jmathb.2010.12.001
Schlagwörter	Mathematics Instruction; Mathematics Education; Arithmetic; Students; Interviews; Computation; Mathematical Concepts + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Mathematische Bildung; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Student; Schüler; Schülerin; Studentin; Interviewing; Interviewtechnik
Abstract	We analyze interviews with 24 post-secondary students as they reason about infinite processes in the context of the tricky Tennis Ball Problem. By metaphorically projecting various properties from the finite states such as counting and indexing, participants envisioned widely varying final states for the infinite process. Depending on which properties they attended to, some participants recognized contradictions arising from these infinite projections and sought to resolve the contradictions in non-dismissive ways. The findings indicate that increasing their meta-level awareness of the features of their mental constructions may help students overcome common difficulties with the infinite. (Contains 1 figure.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10