Problem-Based Algebra and Calculus Course for Secondary Teachers

(3 semester hours) + 10 hours of school-based work

This course will focus on the study of change, algebraic structure, and mathematical modeling using techniques of algebra and calculus. Topics covered include: in-depth look at the key ideas of calculus, introduction of key concepts from of group theory, sequences and iteration functions, number systems and complex numbers, and basic number theory concepts. An important aspect of this course is the use of graphing calculators and computer algebra systems (Voyage 200™, TI-89, TI-Nspire™, and Maple™) for exploration and computation. Students are introduced to basic learning theory for algebraic and calculus concepts as well as learning mathematics content though cooperative learning, guided discovery, and inquiry models.