Abstract of Full Paper Presented at the 10th Asian Technology Conference in Mathematics
December 12-19, 2005, South Korea

Using Chips to Understand the Sum of Progression

Masahiro Takizawa
taki3262@green.ocn.ne.jp
Otawara Senior High School
Japan

Abstract

Traditionally, it is difficult for students understand the formula sum(k^2,k=1..n)=(1/6)*(n)(n+1)(2n+1). Many textbooks use the expression (n+1)^3-n^3=3n^2+3n+1. In this presentation, author will present an altternative way of understanding this formula using 'chips'. Author will also present a Visual Basic program written by the author to help students understand the concept of this formula.

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ATCM, Inc. 2005