MATH 487: Number Theory and Algebra
for Secondary Teachers
Course Description: This course has two mutually supportive aims: (1) To cultivate what can be called ``connected mathematical thinking,'' largely through ambitious problem solving activities. (2) To provide a rigorous and coherent treatment of some of the foundational domains of the school mathematics curriculum, especially those coming from abstract algebra. The course should be helpful for those planning to teach mathematics (at any level, including college) as well as for mathematics and science majors who want to deepen their knowledge of some fundamental mathematical concepts and to develop productive mathematical practices (habits of mind). This course is taught using inquiry-based learning; students start to work through non-routine problem sets before class and class time is spent discussing problems in groups and as a class.