Periodic Functions, Real Numbers and Least Common Multiples: Is the Sum of Two Periodic Functions Also Periodic?

Autor/inn/en	Mello, José Luiz Pastore; Sutcliffe de Moraes, Naomi James
Titel	Periodic Functions, Real Numbers and Least Common Multiples: Is the Sum of Two Periodic Functions Also Periodic?
Quelle	In: Australian Mathematics Education Journal, 1 (2019) 1, S.37-41 (5 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2652-0176
Schlagwörter	Mathematical Concepts; Secondary School Mathematics; High School Students; Mathematics Instruction; Teaching Methods; Trigonometry; Mathematics Activities + Suchen Sie Ihr Suchwort? High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Trigonometrie
Abstract	In mathematics, there are countless connections between apparently unrelated topics. Students often find these relationships interesting, and they contribute to expanding their mathematical repertoires. This article describes one of these unusual connections, between the sum of periodic functions and the commensurable and incommensurable numbers. It begins with a motivating question that is investigated gradually, in stages, through three further questions. The proposed discussion describes possibilities for working with high-school students based on this unusual connection between the study of periodic functions and that of real numbers. (ERIC).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). Tel: +61-8-8363-0288; e-mail: office@aamt.edu.au; Web site: https://primarystandards.aamt.edu.au/Journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2021/2/06