A study of algebraic systems including groups, rings, integral domains, polynomials, vector spaces, and fields, especially subfields of the complex numbers. An axiomatic study of various geometries including Euclidean Geometry and hyperbolic geometry. Historical and philosophical implications of the development of non-Euclidean geometries. A project-oriented course in statistics and experimental design including categorical analysis, multiple regression, the analysis of variance, factor analysis, and other statistical techniques as appropriate. A class for which a topic may be determined by the student in consultation with the instructor.
Evaluation consists of a paper and a presentation before an audience of one s peers.
The dynamics of teaching mathematics in secondary schools including selecting subject matter, classroom management, teaching problem solving and proofs, remediating student difficulties, dispelling math anxiety, constructing and using a mathematical learning center containing technology and manipulatives. A course covering topics in advanced mathematics not normally covered in junior and senior level courses.