The Ubiquitous Parabola

Autor/in	Hyde, Hartley
Titel	The Ubiquitous Parabola
Quelle	In: Australian Mathematics Teacher, 64 (2008) 3, S.7-9 (3 Seiten) PDF als Volltext (1); PDF als Volltext kostenfreie Datei (2) Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0045-0685
Schlagwörter	Geometry; Geometric Concepts; Teaching Methods; Mathematics Instruction; Secondary School Mathematics + Suchen Sie Ihr Suchwort? Geometrie; Elementare Geometrie; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht
Abstract	Parabolic shapes are easy to find. Many homes outside the cable area have parabolic antennas to receive television transmissions from a satellite far out in space. Parabolic extrusions are used as reflectors behind fluorescent tubes and solar heated water pipes. Parabolic reflectors are used to build solar ovens, searchlights and radio telescopes. This article presents two work sheets: the first is designed for use with "Cabri Geometry" to study the parabola as a conic section and the second presents a similar construction for a circular paraboloid using "Cabri 3D." Both models show clearly that the parabolic locus will reflect incoming rays, that are parallel to the line of symmetry, back through the focus. This article also illustrates a use of the two "Cabri" products to study a 2D object before considering its 3D equivalent. "Cabri 3D V2" now allows one to insert measurements, equations and coordinates. It also allows one to trace the trajectory of a point or curve. (ERIC).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10