People often wonder whether artists really use geometry. I am convinced that they use geometry all the time—and that they use every kind of geometry. Sometimes artists have studied geometry; Salvador Dalí learned mathematics from Thomas Banchoff and René Thom. M.C. Escher used ideas from H.S.M. Coxeter and Roger Penrose; Leonardo da Vinci was himself […]

Abstract In this article, I propose a reconsideration of mathematical content for teaching high school geometry for preservice teacher education based on my own experience teaching geometry courses. The Conference Board report on the mathematical preparation of teachers recommended that future teachers complete three courses focused on school mathematics from an advanced viewpoint (CBMS, 2012). […]

Geometry for Teachers (GeT) is a course at South Dakota State University (SDSU) that is entirely made up of mathematics majors who are planning to become certified to teach middle and high school mathematics. It is typically the first mathematics course that our preservice teachers take that includes pedagogy. Since I want the students to […]

We are all members of the Euclidean Archetype workgroup. As we summarized in our report, a GeT course organized around the Euclidean archetype will focus on the axiomatic development of fundamental principles of geometry. Informed by the spirit and organization of Euclid’s Elements, this course emphasizes mathematical precision, rigorous proof, and clear communication. We have […]