A Geometric Project for a Linear Algebra Class

Autor/inn/en	Andriunas, R.; Boyle, B.; Lazowski, A.
Titel	A Geometric Project for a Linear Algebra Class
Quelle	In: PRIMUS, 32 (2022) 6, S.676-684 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2021.1900477
Schlagwörter	Algebra; Geometry; Matrices; Mathematics Instruction; Mathematical Logic; College Mathematics; Undergraduate Study; Student Attitudes + Suchen Sie Ihr Suchwort? Geometrie; Matrizenrechnung; Mathematics lessons; Mathematikunterricht; Mathematical logics; Mathematische Logik; Grundstudium; Schülerverhalten
Abstract	This paper discusses a project for linear algebra instructors interested in a concrete, geometric application of matrix diagonalization. The project provides a theorem concerning a nested sequence of tetrahedrons and scaffolded questions for students to work through a proof. Along the way students learn content from three-dimensional geometry and apply eigenvectors, eigenvalues, and diagonalization to calculate a limit. Other concepts found within the project apply cross products and normal vectors. We describe the project's background, offer comments and variations for the given questions, and supply results from administering it ourselves. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2022/4/11