Using Dynamic Graphing Software to Develop Conceptual Understanding of Transformations of Trigonometric Functions

Abstract

Interactive mathematics software can be useful to develop student understanding of complex mathematical problem solving through manipulation and visualization of concepts. One challenging topic for high school mathematics students to understand is the relationship between right triangle trigonometry and trigonometric functions. Using Desmos, a dynamic and interactive mathematical graphing software, this project explores how to build student understanding of trigonometric functions through an exploration of right triangle trigonometry, the unit circle, and their relationship to parent trigonometric functions. This project also applies Desmos to explore unique mathematical representations that can support student understanding of relationships between right triangle trigonometry and transformations of trigonometric functions with a dynamic circle.