441 Concepts in Geometry: Learning Outcomes By the end of this course, students are expected to be able to:
- Communicate mathematical results through the proper use of mathematical notation and words.
- Understand whether a definition is correct, whether two definitions are equivalent, and whether something satisfies a definition.
- Understand the axiomatic and logical structure of Euclidean and non-Euclidean geometry through the development of absolute geometry.
- Understand basic terms and use them in proofs. This includes points, lines, rays, segments, betweenness, angles, congruence, distance, polygons, circles, and similarity.
- Develop skills with compass and straight edge constructions.
- Learn how to use dynamic geometry software for constructing figures and investigating conjectures.