Loss of Dimension in the History of Calculus and in Student Reasoning

Research indicates that calculus students often imagine objects losing a dimension entirely when a limit is taken, and that this image serves as an obstacle to their understanding of the fundamental theorem of calculus. Similar imagery, in the form of "indivisibles", was similarly unsuppor...

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Veröffentlicht in:	The Mathematics Enthusiast 2012-07, Vol.9 (3), p.303-326
1. Verfasser:	Ely, Robert
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus Definitions Derivatives Educational Experiments Integrals Learning Scientific Concepts Teaching Methods Undergraduate Students
Online-Zugang:	Volltext
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