Chapter 9: Computational Problem Solving in Context

The following sections are included:

• Introduction

• Establishing Context for Triangular Numbers

• Using a Spreadsheet to Investigate Brain Teaser 9.1

• Developing Formulas for Triangular Numbers

• Visualizing Mathematical Induction Proof of Formula (9.4)

• Square Test for Triangular Numbers and Its Spreadsheet Implementation

• Developing Square Numbers in Context

• Investigation of Brain Teaser 9.2 Using a Spreadsheet

• Developing Formulas for Square Numbers

• Using Triangular Numbers as Problem-Solving Tools

• Two General Formulas for Polygonal Numbers

• Square Test for Polygonal Numbers

• Triangular-Like Numbers

• Inequalities and Search for Triangular-Like Numbers Using a Spreadsheet

• Square-Like Numbers

• Two Types of Ghosts on the Same Floor

• Exploring m-Gonal-Like Numbers

• Two Types of Ghosts Meeting Each Other