Number Theory for Teachers

Catalog description

This course introduces teachers to the branch of mathematics known as number theory, in which one studies properties of positive integers with respect to the operations of multiplication and division. Teacher knowledge and practices explored in this course include the properties of prime and composite numbers, the sieve of Eratosthenes and distributions of primes and composites, the fundamental theorem of arithmetic, properties of greatest common factors and methods of computing greatest common factors, properties of least common multiples, use of base ten and expanded notation, writing numbers and computing in different bases, basic ideas of modular arithmetic, the Division Algorithm, the Euclidean Algorithm, letter arrangements and lottery problems, counting problems, and problem solving in various contexts.