Discovering the Chain Rule Graphically

Autor/in	Gordon, Sheldon P.
Titel	Discovering the Chain Rule Graphically
Quelle	In: Mathematics and Computer Education, 39 (2005) 3, S.195-197 (3 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0730-8639
Schlagwörter	Calculus; Graphing Calculators; Mathematical Concepts; Student Motivation; Mathematics; Mathematics Education; Mathematics Instruction + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Grafischer Taschenrechner; Schulische Motivation; Mathematik; Mathematische Bildung; Mathematics lessons; Mathematikunterricht
Abstract	The chain rule is one of the hardest ideas to convey to students in Calculus I. It is difficult to motivate, so that most students do not really see where it comes from; it is difficult to express in symbols even after it is developed; and it is awkward to put it into words, so that many students can not remember it and so can not apply it correctly. In this note, the author presents a way to develop the chain rule in class that both motivates it and gives the students a much better understanding of what is going on. The author presumes that the students have seen the notion of the derivative at a point and that they are familiar with the idea of approximating the value of that derivative via Newton difference-quotient. The author builds on that approximation by using the numerical derivative routine built into most graphing calculators. (Contains 5 figures.) (ERIC).
Anmerkungen	MATYC Journal Inc. Mathematics and Computer Education, P.O. Box 158, Old Bethpage, NY 11804. Tel: 516-822-5475; Web site: http://www.macejournal.org
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10