Capstone Studies for Math Majors via Complex and Hyperbolic Numbers

Autor/inn/en	Atmai, Rachid; Kizer-Pugh, Curtis; Shipman, Barbara A.
Titel	Capstone Studies for Math Majors via Complex and Hyperbolic Numbers
Quelle	In: PRIMUS, 33 (2023) 6, S.602-621 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2022.2120582
Schlagwörter	Capstone Experiences; Mathematics Education; Majors (Students); Discovery Learning; Student Projects; Undergraduate Students; Algebra; Geometry; Mathematical Concepts + Suchen Sie Ihr Suchwort? Mathematische Bildung; Entdeckendes Lernen; Schulprojekt; Geometrie
Abstract	This article is a discovery-based instructional resource for faculty to use as a capstone course or exploratory project for undergraduates who are familiar with (but not necessarily fluent in) calculus, linear algebra, complex variables, and geometry. The explorations flow from a simple change in sign: in the complex numbers a + bi, where i[superscript 2] = -1, replace i by [tau], where [tau squared] = 1, but where [tau] [not equal to] ±1. This creates a new algebra and geometry that is counter-intuitive, but has parallels to familiar mathematics so that students can use what they know, but on different ground. The materials are intended to foster investigation, collaboration, and creative mathematical thinking. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01