Advanced Functions and Modeling. (3.0 CEU's) This course will provide teachers the preparation and philosophy for teaching AFM.  That course is an in-depth study of modeling and applying functions. Home, work, recreation, consumer issues, public policy, and scientific investigations are just a few of the areas from which applications will originate. Appropriate technology, from manipulatives to calculators and application software, will be used in the workshop.  AFM was developed by a committee including NCDPI staff, university professors, and high school teachers. It includes material selected from Pre-Calculus, Discrete Mathematics, and Statistics and is to be taught from a problem-oriented perspective.  This workshop will cover modules from each of the areas from the NC DPI SCOS and will discuss how to teach a modeling course, group work, group dynamics, etc.

MATH 6050. Calculus for AP Calculus Teachers. (3 credit hours or 4.8 CEU’s) The material taught in AP Calculus will be covered in greater depth. Areas covered will include limits, continuity, derivatives, applications of the derivative, differential equations and slope fields, integration, techniques of integration, applications of integration, volumes of solids of rotation, sequences and series, and Taylor, Maclaurin and power series.  We will consider examples of AP problems and spend a little time each day on how to teach a particular subject in AP.

MATH 5109. History of Mathematical Thought. (3 credit hours or 4.8 CEU’s) General survey of the history of mathematics with special emphasis on topics that are encountered in middle grades or high school mathematics courses. The course will cover the mathematics of ancient times, beginning with the Egyptians, Babylonians, and Greeks, and continue to the present. Particular attention will be given to the contributions of selected mathematicians.

MAED 5342. Data Analysis & Probability. (3 credit hours or 4.8 CEU’s) Collection of data from experiments and surveys; organizing, representing, and interpreting data; formulating arguments based on analysis.  This course focuses on applications, problem solving experiences, the use of technology as a problem solving tool, mathematics as a part of daily life and as a natural development of human endeavors. You will use data to solve problems which occur in daily life.  Topics covered may easily be adapted for use in your mathematics classrooms

MATH 6105. Discrete Mathematics. (3 credit hours or 4.8 CEU’s)The material taught here will help teachers teach Discrete Mathematics and further their knowledge of the subject.  Material will include the mathematics of networks, social choice, and decision making, applications of matrix arithmetic and probability. Applications and modeling are central to this course.

MAED 5105. Euclidean Geometry for Teachers. (3 credit hours or 4.8 CEU’s) This course is designed for those who want innovative, hands-on lessons to develop geometric concepts, reinforce skills, and gain experience in problem solving, reasoning and proofs.  Participants will: study logic and deductive reasoning; apply properties, definitions and proofs to two & three dimensional figures; describe the transformation of polygons in the coordinate plane in simple algebraic terms; use length, area, and volume of geometric figures to solve problems.

MAED 5141. Algebra & Number Sense. (3 credit hours or 4.8 CEU’s) This course will provide participants with a deeper understanding of rational numbers and operations, the structure of the rational and real number systems, the mathematics that underlies standard algorithms of algebra, fundamental ideas of algebra and number theory, and strategies for working with large numbers.