Imagine a rider at a carnival going around a Ferris wheel at a constant speed. What is the graph of the rider’s height and the total distance the rider traveled around the
wheel? This may sound like a typical problem asked in a trigonometry class used to introduce students to sine and cosine functions. However, what ways of thinking about
the graph are influenced by our image of the situation itself? What habits of graphing confuse us in accurately representing the quantities in the situation? In this talk, we
explore certain habits of graphing that might constrain students from developing consistent understandings of relationships. We will play with a collection of animated
tasks to see what habits of graphing we have formed and what we can learn from these habits in designing activities for students.
Coffee, Tea, and Cookies!