“Conics, Cubics, Calculus, and CAS: A Curious Connection and ‘The Most Marvelous Theorem in Mathematics!’ ”
June 14, 2019, 7:00 PM
Renaissance Chicago North Shore Hotel
933 Skokie Boulevard
Northbrook, IL 60062
You must pre-register for this dinner before June 5th! Please complete your registration on the USACAS Registration site.
MMC is co-sponsoring the opening meeting for the USACAS Conference. This conference is focusing on technology in mathematics education. Some of the world’s best experts have attended USACAS. The Friday night meeting will set a fantastic tone with a talk from Tom Dick. His talk is sure to be thought provoking and entertaining. Don’t miss this wonderful opportunity. (Please note this special meeting takes place at Renaissance Chicago North Shore Hotel in Northbrook and requires online payment prior to the event.)
Constraint based dynamic geometry opens up new windows for exploring geometric figures, including conic sections. In contrast, computer algebra systems (CAS) are seldom thought of as being dynamic. Rather, a CAS is often considered a powerful “black box” for computing tedious symbolic calculations. In this presentation we’ll consider a special conic section, known as the Steiner ellipse, using constraint based dynamic geometry. We’ll then turn our attention to an exploration of cubic polynomials by taking advantage of dynamic computer algebra. There is a curious a connection between these two explorations is truly remarkable and has been called the “most marvelous theorem in mathematics” by Dan Kalman. While the theorem was first discovered in the 1800’s, it has received much recent attention over the last ten years. We’ll use a marriage between dynamic geometry and CAS to illustrate the theorem as well as a generalization that is also quite remarkable.
Tom Dick is a professor of Mathematics at Oregon State University. His research interests include the study of factors related to mathematics achievement and participation, cognitive science as applied to the learning of advanced mathematics, uses of technology in the learning of mathematics, and mathematical discourse. He has worked extensively in the calculus curriculum reform movement. He has served on the joint AMS/MAA Committee on Research in Undergraduate Mathematics Education, the National Council of Teachers of Mathematics Research Advisory Committee, and the Advanced Placement Calculus Development Committee. He is a past co-editor of Connecting Research to Teaching for NCTM’s Mathematics Teacher journal, associate editor for School Science and Mathematics, an editorial panel member for the Journal for Research in Mathematics Education, and an editorial panel member for the Mathematics Teacher Educator.