Connecting Functions in Geometry and Algebra

Autor/inn/en	Steketee, Scott; Scher, Daniel
Titel	Connecting Functions in Geometry and Algebra
Quelle	In: Mathematics Teacher, 109 (2016) 6, S.448-455 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Geometry; Algebra; Mathematics Education; Mathematical Concepts; Mathematical Formulas; Teaching Methods; Transformations (Mathematics); Program Descriptions; Educational Practices; Educational Strategies + Suchen Sie Ihr Suchwort? Geometrie; Mathematische Bildung; Mathematische Formel; Teaching method; Lehrmethode; Unterrichtsmethode; Transformationstheorie; Bildungspraxis; Lehrstrategie
Abstract	One goal of a mathematics education is that students make significant connections among different branches of mathematics. Connections--such as those between arithmetic and algebra, between two-dimensional and three-dimensional geometry, between compass-and-straight-edge constructions and transformations, and between calculus and analytic geometry--form the backbone of important mathematical understandings. In this article, Steketee and Scher describe a way of forging a strong connection between geometric and algebraic functions, a connection that can deepen students' concept of function and develop students' appreciation for the interconnectedness of geometry and algebra. If students have no meaningful way to connect, for instance, dilations and translations in the geometric realm with linear functions in the algebraic realm, the connection between geometric and algebraic functions will be a bit of trivia without real value. This article includes web-available mathematics software tools and five activities, geometric functions that provide students an alternative environment for engaging with function concepts. The activities also reveal a connection between geometry and algebra with the "same" function created by dilation and translation in one realm and by multiplication and addition in the other. [The activities described in this article use Web Sketchpad®, work with any modern Web browser, and can be accessed from http://geometricfunctions.org/links/connecting-functions.] (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teacher/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01