ERIC Number: EJ988760
Record Type: Journal
Publication Date: 2012-Aug
Pages: 5
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: N/A
Available Date: N/A
Using Disks as Models for Proofs of Series
Somchaipeng, Tongta; Kruatong, Tussatrin; Panijpan, Bhinyo
Mathematics Teacher, v106 n1 p46-50 Aug 2012
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.)
Descriptors: 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
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/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A