On the Definition of Matrix Multiplication

Autor/in	Barahmand, Ali
Titel	On the Definition of Matrix Multiplication
Quelle	In: International Journal of Mathematical Education in Science and Technology, 51 (2020) 7, S.1137-1145 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Barahmand, Ali)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2019.1699179
Schlagwörter	Definitions; Matrices; Multiplication; Algebra; Geometric Concepts; Equations (Mathematics); Mathematics Instruction; Teaching Methods + Suchen Sie Ihr Suchwort? Begriffsbestimmung; Matrizenrechnung; Multiplikation; Elementare Geometrie; Equations; Mathematics; Gleichungslehre; Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	The purpose of the present article is to investigate the definition of matrix multiplication as a central issue in linear algebra courses. Applying both historical and pedagogical approaches, it focuses on the philosophy of generating the usual matrix multiplication, as a special binary operation, with its partly unexpected form compared with the matrix addition as entrywise. Finally, the article examines the reason why the usual matrix multiplication definition has been chosen out of various alternative in the context of school mathematics. It is worth noting that some of the definitions of matrix multiplications have a simpler form to perform, memorize and remember, and are especially more compatible with the individuals' concept images. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01