A Survey of Classical and Modern Geometries

In this survey of classical and modern geometries, we spanned the history of geometry from Euclidean to Hyperbolic.  Dr. Bray taught the class in a relaxed manner, often figuring out problems and proofs on the spot with the class.  By doing this he was able to show his thought process and how he approached problems, which I found to be very beneficial.  As  a math teacher I spend quite a bit of time trying to break students free of being overwhelmed by problems and immediately wondering, “what do I put in my calculator?”  Dr. Bray essentially used the same approach, instead of being overwhelmed, he showed us how to reason our way through and around obstacles that seemed untenable at first glance.