Bouncing Balls and Graphing Derivatives

Autor/in	Cory, Beth
Titel	Bouncing Balls and Graphing Derivatives
Quelle	In: Mathematics Teacher, 104 (2010) 3, S.206-213 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Graphs; Physics; Calculus; Mathematics Instruction; Mathematical Concepts; Problem Solving; Learning Activities; Motion; Algebra; Computation + Suchen Sie Ihr Suchwort? Grafische Darstellung; Physik; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Problemlösen; Lernaktivität; Bewegungsablauf
Abstract	National Council of Teachers of Mathematics' (NCTM's) (2000) Connections Standard states that students should "recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect ...; [and] recognize and apply mathematics in contexts outside of mathematics" (p. 354). This article presents an in-depth problem-solving activity that can enhance students' understanding of the connections between a function and its derivative and generate important connections between mathematics and physics. Using motion detectors, calculus, and physics, algebra and precalculus students create height-, velocity-, and acceleration-versus-time graphs of a bouncing ball. After constructing their own graphs, students can compare their solutions to those produced by the calculator. (Contains 12 figures.) (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10