Factor and Remainder Theorems: An Appreciation

Autor/in	Weiss, Michael
Titel	Factor and Remainder Theorems: An Appreciation
Quelle	In: Mathematics Teacher, 110 (2016) 2, S.153-156 (4 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Algebra; Mathematics; Mathematical Formulas; Mathematics Teachers; Equations (Mathematics); Mathematical Applications; Mathematical Logic; Validity; Geometry; Calculus; Secondary School Teachers; Academic Standards; Common Core State Standards + Suchen Sie Ihr Suchwort? Mathematik; Mathematische Formel; Mathematics; Teacher; Teachers; Lehrer; Lehrerin; Lehrende; Equations; Gleichungslehre; Angewandte Mathematik; Innermathematische Anwendung; Mathematical logics; Mathematische Logik; Gültigkeit; Geometrie; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Common core curriculum; Curriculum; Kerncurriculum
Abstract	The high school curriculum sometimes seems like a disconnected collection of topics and techniques. Theorems like the factor theorem and the remainder theorem can play an important role as a conceptual "glue" that holds the curriculum together. These two theorems establish the connection between the factors of a polynomial, the solutions to a polynomial equation, and the graph of a polynomial function. They generalize what is previously learned in first-year algebra, reinforce important ideas about proof that students learn in geometry, and foreshadow important ideas of calculus. There is much more to appreciate about these two theorems than one might think. (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