112b9edb_metry_for_Educators_Appendix_C___proficiency_in_each_standard_
Mathematical concepts, procedures, and the connections among them for teaching upper level geometry and measurement including: . Systems of geometry, including Euclidean, non-Euclidean, coordinate, transformational, and projective geometry. . Transformations, coordinates, and vectors and their use in problem solving. Three-dimensional geometry and its generalization to other dimensions. Topology, including topological properties and transformations. . Opportunities to present convincing arguments by means of demonstration, informal proof, counter-examples, or other logical means to show the truth of statements and/or generalizations.
Systems of geometry (finite, Euclidean, Spherical, Hyperbolic and Taxicab), transformational geometry, and the development of the ability to use convincing arguments and proof, are the main components of this course. Teachers' ability to analyze systems, solve problems, use technology, and make and prove hypotheses are assessed throughout the course activities: class discussions, homework, exams, projects, and presentations.
Geometry for Educators Appendix C
In this column, indicate the nature of the performance assessments used in this course to evaluate student proficiency in each standard.