MATH 2253 Students examine the secondary school mathematics curriculum from an advanced viewpoint to be able to explain the relationships among arithmetic, algebra, geometry, and calculus. The students determine why standard mathematical procedures work and whether a given procedure is valid. Using field experiences, students examine the prerequisite skills needed for each mathematics course in grades 7 through 12. MATH 3303 Students examine trends and issues related to the secondary school mathematics curriculum. Students review mathematics curriculum reforms from the last fifty years and current curriculum issues.
Students demonstrate an understanding of axiomatic, transformational and projective geometry.
Students investigate the historical and philosophical development of geometry. Topics include finite geometries, convexity, modern synthetic geometry, tessellation, packing problems, constructible numbers and introduction to non-Euclidean geometries. Students investigate and apply the fundamentals of probability theory, such as law of large numbers, central limit theorem, and law of iterated logarithm. Students use the probability axioms and analytical methods to study distributions of random variables. Students apply the theory developed in this course to the study selected topics such as random walks and Poisson processes.