How to Act? a Question of Encapsulating Infinity

Autor/in	Mamolo, Ami
Titel	How to Act? a Question of Encapsulating Infinity
Quelle	In: Canadian Journal of Science, Mathematics and Technology Education, 14 (2014) 1, S.1-22 (22 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1492-6156
DOI	10.1080/14926156.2014.874613
Schlagwörter	Mathematical Concepts; Theories; Logical Thinking; Learning Theories; Subtraction; College Students; Student Attitudes; Prior Learning; Mathematical Aptitude; Foreign Countries; College Faculty; Canada + Suchen Sie Ihr Suchwort? Theory; Theorie; Learning theory; Lerntheorie; Subtraktion; Collegestudent; Schülerverhalten; Vorkenntnisse; Ausland; Fakultät; Kanada
Abstract	This article investigates some of the specific features involved in accommodating the idea of actual infinity as it appears in set theory. It focuses on the conceptions of two individuals with sophisticated mathematics background, as manifested in their engagement with variations of a well-known paradox: the ping-pong ball conundrum. The APOS theory is used as a framework to interpret participants' efforts to resolve the paradoxes. The cases discussed focus on how transfinite subtraction may be conceptualized, and they suggest that there is more to accommodating the idea of actual infinity than the ability to act on a completed object--rather, it is the manner in which objects are acted upon that is also significant. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10