Understand and explain the relationship between axioms, theorems, and geometric models in which they hold (such as the plane, the sphere, the hyperbolic plane, etc.); understand how knowledge about different models can help us understand which theorems can be proven from a given set of axioms. a) Recognize and be able to communicate the distinction […]

Last year, the Teaching GeT (Geometry for Teachers) Group started to think about the question: what materials could we produce that would be most helpful for a new teacher of a GeT course? We quickly ran into an issue: unlike many other mathematical subjects, there isn’t a standard curriculum for a GeT course. Many different kinds […]

When I joined the Geometry for Teachers (GeT) group in the summer of 2018, one thing that was always clear to me was that the GeT course at various institutions is very different. During the 2019 – 2020 academic year the Teaching GeT group, led by Dr. Nat Miller, made a huge effort to create […]

There are good reasons why the theorems should all be easy and the definitions hard. -Michael Spivak In this article, we look at a selection of tasks related to the angle bisectors of a quadrilateral and discuss their potential function in GeT courses. An instructor may choose to begin an exploration of the properties of […]