Voronoi Diagrams and Spring Rain

Autor/inn/en	Perham, Arnold E.; Perham, Faustine L.
Titel	Voronoi Diagrams and Spring Rain
Quelle	In: Mathematics Teacher, 105 (2011) 2, S.126-132 (7 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Problem Solving; Educational Technology; Probability; Geometry; Mathematics Instruction; Technology Integration; Computer Software; Geometric Concepts; Visual Aids; Interdisciplinary Approach; High Schools; Secondary School Mathematics; Measurement Equipment + Suchen Sie Ihr Suchwort? Problemlösen; Unterrichtsmedien; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Geometrie; Mathematics lessons; Mathematikunterricht; Elementare Geometrie; Anschauungsmaterial; Fächerübergreifender Unterricht; Fächerverbindender Unterricht; Interdisziplinarität; High school; Oberschule; Messinstrument
Abstract	The goal of this geometry project is to use Voronoi diagrams, a powerful modeling tool across disciplines, and the integration of technology to analyze spring rainfall from rain gauge data over a region. In their investigation, students use familiar equipment from their mathematical toolbox: triangles and other polygons, circumcenters and circumcircles, area, coordinates, data visualization, weighted averages, probability, and calculator applications. Because Voronoi diagrams become more difficult to construct by hand as points are added to the basic diagram, user-friendly, public-domain software is introduced to help students manage the rainfall data to plot points, partition the plane with convex polygons, and calculate areas. Integrating this modeling unit with technology provides a rich mathematical experience for students. An experience with Voronoi diagrams can help satisfy students' curiosity about what mathematicians do and how their work aids other disciplines while providing a rich mathematical experience. (Contains 9 figures, 1 table, and 9 online resources.) (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10