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.