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Delving Deeper
Delving Deeper: The Ubiquitous Catalan Numbers

Thomas Koshy 

October 2006, Volume 100, Issue 3, Page 184

Abstract:
This issue focuses on the Catalan numbers and numerous activities in which they show up. In particular, connections with the Catalan numbers are seen in disparate counting problems and with Pascal's triangle. 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