Construction of the Final Results of Infinite Iterative Processes in Individuals' Mind in a Geometrical Context

Autor/in	Barahmand, Ali
Titel	Construction of the Final Results of Infinite Iterative Processes in Individuals' Mind in a Geometrical Context
Quelle	In: Teaching Mathematics and Its Applications, 42 (2023) 1, S.65-85 (21 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0268-3679
DOI	10.1093/teamat/hrac001
Schlagwörter	Geometric Concepts; Undergraduate Students; Student Attitudes; Geometry; Cognitive Processes + Suchen Sie Ihr Suchwort? Elementare Geometrie; Schülerverhalten; Geometrie; Cognitive process; Kognitiver Prozess
Abstract	This study provides a framework for explaining the way individuals might construct the final result of infinite iterative processes in a geometrical context. To this end, 30 undergraduate students were interviewed. The analysis of the data collected yielded two different views: first, there were those who believed that the presented infinite iterative processes will have to end because nothing else could be imagined; second, there were those who claimed that the processes will not end because assuming that a final result will fall out of processes would be paradoxical. In this regard, this study demonstrates how some related paradoxes in a geometrical context can be interpreted, by analyzing their potential sources, within the proposed framework. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01