A Graphically Motivated, Non-Calculus Derivation of Formulas for Linear Regression.

Autor/inn/en	Zoltek, S. M.; Dick, S. S.
Titel	A Graphically Motivated, Non-Calculus Derivation of Formulas for Linear Regression.
Quelle	(1997), (21 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Leitfaden; Unterricht; Lehrer; Graphing Calculators; Higher Education; Mathematics Education; Problem Solving; Regression (Statistics); Teaching Methods + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Grafischer Taschenrechner; Hochschulbildung; Hochschulsystem; Hochschulwesen; Mathematische Bildung; Problemlösen; Regression; Regressionsanalyse; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	This paper presents teaching strategies and examples developed for a two-semester sequence in quantitative problem solving, specifically outlining a non-calculus derivation of linear regression formulas supported by the graphical display of the TI-83 calculator to visualize the minimization of the sum-squared vertical distances. The paper addresses the challenge faced by mathematicians teaching a general education mathematics course to excite non-math majors about a quantitative problem and to do it at a level that encourages them to explore mathematics. Part I presents a solution to a minimization problem that, while carefully motivated and precise, is accessible to the average college or community college student. Guided discovery is used to motivate definitions and make methods of solution plausible. Part II requires students to participate in the derivation of equations needed to solve the problem. (MM)
Erfasst von	ERIC (Education Resources Information Center), Washington, DC