ELCL 6070 Exploration of Number and Geometry

The purpose of this course is to provide an inquiry-based experience wi th geometry that is appropriate for elementary and middle schoool teachers. The course will offer opportunities to use basic relationships and facts to solve problems and make sense of situations. The problems in the course will offer experiences with geometry that help anchor and stabilize personal understanding and stimulate individuals to create connections and bridges between basic geometric ideas. Students will explore, observe, describe and conjecture about relationships that appear in models and examples. the topics presented include points and lines in triangle properties of cicles, colinearity, concurrence, transformations, arithmetic and geometric means, isoperimetric theorems and reflections principle. Moreover, this course is the study of geometry as an axiomatic system, which includes the study of postulates, theorems and formal proofs, rules of congruence, angle measurements, similarity, parallelism, and perpendicularity. Furthermore, topics in the research of how students learn geometry and effective teaching methods of geometry will be studied.
Credits: 3.0