Involves problem solving as well as reading. An integral part of the course is the hands-on use of selected software for introducing, developing and reinforcing mathematical concepts. The study of various topics from algebra, functions, number theory, geometry, probability, and statistics. The course emphasizes the connections and interplay among these topics and their applications so that the student can use and value the connections among mathematical topics and use and value the connections between mathematics and other disciplines. Compares and contrasts the origins, applications and basic structures of Euclidean and non-Euclidean geometry.
Attention is given to ideas involved in teaching geometry.
A study of the theoretical development of the calculus concepts. Topics include structure and properties of real number systems, functions, sequences and series, antiderivatives, and Lebesque integral. This course examines mathematics learning theories developed during the 20th-century with an emphasis on recent research on learning mathematics. The learning theories are related to each other, to mathematics teaching and instruction, and to curricular decision making. Students are expected to implement instructional or curricular changes in their classroom in a unit and then evaluate the implementation.