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Delving Deeper
Delving Deeper: A Generalization of Two Ancient Formulas

Angelo Di Domenico 

September 2006, Volume 100, Issue 2, Page 114

Abstract:
This issue focuses on the relationships between summation formulas and elements of Pascal's triangle. The sum of  the squares of the natural numbers and the sum of the squares of triangular numbers are related and generalized. The aim of Delving Deeper is for teachers to pose and solve novel math problems, expand on mathematical connections, or offer new insights into familiar math concepts. Delving Deeper focuses on mathematics content appealing to secondary school teachers. It provides a forum that allows classroom teachers to share their mathematics from their work with students, their classroom investigations and products, and their other experiences. Delving Deeper is a regular department of Mathematics Teacher.

Keywords:
Article
Cross-Content (Math Only) Connections
Conceptual Development
Grades 9-12
Numbers and Operations
Teacher
Problems
Problem Solving / Problem Posing
Reasoning and Proof