Using Disks as Models for Proofs of Series

Autor/inn/en	Somchaipeng, Tongta; Kruatong, Tussatrin; Panijpan, Bhinyo
Titel	Using Disks as Models for Proofs of Series
Quelle	In: Mathematics Teacher, 106 (2012) 1, S.46-50 (5 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Mathematical Logic; Validity; Arithmetic; Mathematics; Mathematics Instruction; Mathematics Education; High School Students; Secondary School Mathematics; Secondary Education; Mathematical Models; Algebra; Learner Engagement; Core Curriculum; State Standards; Alignment (Education); Mathematical Formulas + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Gültigkeit; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Mathematik; Mathematics lessons; Mathematikunterricht; Mathematische Bildung; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Sekundarbereich; Mathematical model; Mathematisches Modell; Kerncurriculum; Mathematische Formel
Abstract	Exploring and deriving proofs of closed-form expressions for series can be fun for students. However, for some students, a physical representation of such problems is more meaningful. Various approaches have been designed to help students visualize squares of sums and sums of squares; these approaches may be arithmetic-algebraic or combinatorial in nature, or they may involve mathematical induction. In the activity described in this article, students use balls and disks to prove the general formulas for sums of squares and cubes. (Contains 2 tables and 6 figures.) (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