Algebraic Trigonometry

Autor/in	Vaninsky, Alexander
Titel	Algebraic Trigonometry
Quelle	In: International Journal of Mathematical Education in Science and Technology, 42 (2011) 3, S.406-411 (6 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Trigonometry; Mathematics Instruction; Algebra; Mathematical Applications; Mathematical Formulas; Mathematical Logic; Mathematical Models; Number Concepts; Number Systems; Research Projects; Problem Sets; Teaching Methods + Suchen Sie Ihr Suchwort? Trigonometrie; Mathematics lessons; Mathematikunterricht; Angewandte Mathematik; Innermathematische Anwendung; Mathematische Formel; Mathematical logics; Mathematische Logik; Mathematical model; Mathematisches Modell; Number concept; Zahlbegriff; Number system; Zahlensystem; Forschungsvorhaben; Problemstellung; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos--satisfying an axiom sin[superscript 2] + cos[superscript 2] = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two different interpretations of the TF are discussed with many others potentially possible. The main objective of this article is to introduce a broader view of trigonometry that can serve as motivation for mathematics students and teachers to study and teach abstract algebraic structures. (Contains 1 figure.) (As Provided).
Anmerkungen	Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10