EDEL 554 - Number Theory

3 Credit Hours
This course builds upon the prior course Mathematics as a Second Language and Functions and Algebra and extends and reinforces the learning from those courses. 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. Emphasis in this course is placed on the mathematical content of number theory and on how number theory is taught in grades K -8, with particular attention to student learning of number theory in these grades. Topics include the division algorithm, properties of prime and composite numbers, the sieve of Eratosthenes as a way of understanding distributions of primes and composites, the infinitude of primes, the fundamental theorem of arithmetic, properties of the greatest common factor and methods of computing the greatest common factor including the Euclidean algorithm, properties of least common multiples, use of base ten and expanded notation, writing numbers and computing in different bases, and arithmetic progressions. In K-12 application of content, teachers will examine the Ohio Mathematics Common Core Standards and Model Curriculum in Number/ Number Sense and Algebraic Thinking and demonstrate an understanding of how the concepts associated with this strand of mathematics develop across the grades.

Prerequisites: EDEL550 and EDEL551

Restrictions: Must be enrolled in one of the following Levels: Graduate

Levels: Graduate

College of Professional Sci School of Education