Envelope Curves Unify Sinusoidal Graphing

Autor/inn/en	Harrow, Christopher; Merchant, Nurfatimah
Titel	Envelope Curves Unify Sinusoidal Graphing
Quelle	In: Mathematics Teacher: Learning and Teaching PK-12, 113 (2020) 4, S.301-308 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Graphs; Mathematics; Transformations (Mathematics); Computer Uses in Education; Mathematics Instruction; Secondary School Mathematics + Suchen Sie Ihr Suchwort? Grafische Darstellung; Mathematik; Transformationstheorie; Computernutzung; Mathematics lessons; Mathematikunterricht
Abstract	Sinusoidal functions are difficult for students: Periodicity is a new concept, transferring information from the unit circle can be confusing, and computations with multiple solutions can be overwhelming. Many struggle with both the unfamiliar "waviness" of sinusoidal graphs and their transformations (translations, dilations, and reflections in horizontal and vertical directions). This is complicated further in non-Cartesian coordinate systems in which existing print resources typically describe polar graphs differently than their Cartesian equivalents. This article describes a simplified mindset for sinusoidal functions and their graphs that transcends coordinate systems. (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01