06145601
j
2013b.00698 Somchaipeng, Tongta Kruatong, Tussatrin Panijpan, Bhinyo Using disks as models for proofs of series. Math. Teach. (Reston) 106, No. 1, 46-50 (2012). 2012 National Council of Teachers of Mathematics (NCTM), Reston, VA EN I34 U64 mathematical logic high school students secondary school mathematics core curriculum state standards series sums of squares sums of cubes manipulative materials
• doi:10.5951/mathteacher.106.1.0046
• http://www.nctm.org/publications/article.aspx?id=33622
• Summary: 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. (ERIC)