Three Interpretations of the Matrix Equation Ax = b

Autor/inn/en	Larson, Christine; Zandieh, Michelle
Titel	Three Interpretations of the Matrix Equation Ax = b
Quelle	In: For the Learning of Mathematics, 33 (2013) 2, S.11-17 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Algebra; College Mathematics; Mathematics Instruction; Introductory Courses; Equations (Mathematics); Matrices; Interviews; College Students + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Einführungskurs; Equations; Mathematics; Gleichungslehre; Matrizenrechnung; Interviewing; Interviewtechnik; Collegestudent
Abstract	Many of the central ideas in an introductory undergraduate linear algebra course are closely tied to a set of interpretations of the matrix equation Ax = b (A is a matrix, x and b are vectors): linear combination interpretations, systems interpretations, and transformation interpretations. We consider graphic and symbolic representations for each, highlighting the very different ways that the vector x is conceived across interpretations. We illustrate how a framework consisting of these interpretations can be used to make sense of student thinking using data from mid-semester interviews with introductory linear algebra students at a large public university in the southwestern US. (As Provided).
Anmerkungen	FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10