Understanding Geometry to Teach Geometry

My thesis discusses the history and development of geometry, specifically Euclidean\ud geometry. I used my personal experiences, observations, and research to learn more about the\ud fundamentals of geometry. Greek mathematician, Euclid has had a significant impact on what we\ud learn in geometry today in school. With his definition of geometry as an axiomatic system, there\ud are missing pieces to geometry as a whole that is not limited to Euclidean geometry and the five\ud Euclid postulates. Given that the parallel postulate has not been proven yet, there are\ud non-Euclidean geometries that are just as valuable to our learning of the subject as Euclidean\ud geometry. By understanding the basic history and development of geometry, educators can be\ud better informed in their instruction of a geometry class