An Inquiry-Oriented Approach to Span and Linear Independence: The Case of the Magic Carpet Ride Sequence

Autor/inn/en	Wawro, Megan; Rasmussen, Chris; Zandieh, Michelle; Sweeney, George Franklin; Larson, Christine
Titel	An Inquiry-Oriented Approach to Span and Linear Independence: The Case of the Magic Carpet Ride Sequence
Quelle	In: PRIMUS, 22 (2012) 8, S.577-599 (23 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2012.667516
Schlagwörter	Algebra; Definitions; College Mathematics; Mathematics Instruction; Introductory Courses; Mathematical Concepts; Geometry; Geometric Concepts; Problem Solving + Suchen Sie Ihr Suchwort? Begriffsbestimmung; Mathematics lessons; Mathematikunterricht; Einführungskurs; Geometrie; Elementare Geometrie; Problemlösen
Abstract	In this paper we present an innovative instructional sequence for an introductory linear algebra course that supports students' reinvention of the concepts of span, linear dependence, and linear independence. Referred to as the Magic Carpet Ride sequence, the problems begin with an imaginary scenario that allows students to build rich imagery and formal definitions. The approach begins by focusing on vectors, their algebraic and geometric representations in and R[squared] and R[cube], and their properties as sets. Samples of student work are provided to illustrate the variety of student solutions and how these solutions lead to the creation of formal definitions. (Contains 1 footnote and 9 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10