Topological Explorations on the Fundamental Theorem of Arithmetic

Autor/inn/en	Phillips, Matthew; Robb, Kayla; Shipman, Barbara A.
Titel	Topological Explorations on the Fundamental Theorem of Arithmetic
Quelle	In: PRIMUS, 33 (2023) 7, S.759-779 (21 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2023.2167252
Schlagwörter	Capstone Experiences; Algebra; Mathematics Education; Mathematics Instruction; Topology; Arithmetic; Number Concepts + Suchen Sie Ihr Suchwort? Mathematische Bildung; Mathematics lessons; Mathematikunterricht; Topologie; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Number concept; Zahlbegriff
Abstract	In an interplay between the Fundamental Theorem of Arithmetic and topology, this paper presents material for a capstone seminar that expands on ideas from number theory, analysis, and linear algebra. It is designed to generate an immersive way of learning in which students discover new connections between familiar concepts, create definitions, and investigate non-standard questions. The ideas are arranged as a series of questions for students to explore, with expositions to the instructor on how to guide them in looking for answers. The investigations culminate in a satisfying outcome: that partition topologies are the same as unique factorization topologies, those that satisfy our topological version of the Fundamental Theorem of Arithmetic. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01