May be repeated for credit if content differs. This course provides an examination of effective materials and methods in the teaching of secondary school mathematics. This course covers mathematical structures pertinent to an understanding of computers, including graphs, Boolean algebra, and finite state machines, with a focus on the analysis and design of algorithms. Proofs of theorems of plane geometry, using a synthetic approach, an analytic approach, and a vector approach, are compared. The class introduces vector spaces.
Students examine and extend topics in secondary school algebra.
Techniques and materials for teaching algebra are also discussed. Techniques for teaching elementary functions are discussed. The course reviews the basic concepts of differential and integral calculus, with special focus on central ideas, theory, and applications. This course examines the consequences of different versions of the parallel postulate. Hyperbolic and elliptic geometry are investigated.