Graduate Courses

MATH 600 - Foundations of the Number System
This course will provide a mature mathematical foundation for the number systems used in secondary and post-secondary mathematics courses, with an emphasis on rigorous logical and set-theoretical foundations of the natural numbers, integers, rational numbers, and real numbers. The course will also cover the common algebraic extensions of the number systems, and familiarize students with the historical development of the number systems.

MATH/EDUC 620 - Issues of Equity and Diversity in Mathematics Education
Familiarizes students with cultural, social, and political issues in the teaching and learning of mathematics. Students will explore equity and diversity principles and approaches in mathematics education, including strategies for teaching mathematics to diverse learners. Mathematics activities will be incorporated, as needed, to supplement the curriculum.

MATH 621 - History of Mathematics
This course will help students understand the pursuit of mathematical understanding as a human endeavor.  Students will discover how mathematics has developed over the past 5000 years in a variety of cultural and historical settings, including the rise of geometry and number theory, arithmetic and algebra, analysis and foundations, and a variety of other topics.       

MATH 623 - Algebraic Reasoning and Mathematical Structures
Abstract algebra with a focus on topics directly related to high school algebra and geometry: basic number theory, rings of integers and polynomials, elementary group theory, fields, classical geometric constructions, and the insolubility of the quintic. Applications will be considered as time permits. A computer algebra system will be employed in examples and assignments.

MATH 630 - Algebra and Functions
Mathematics and pedagogy for teaching algebraic reasoning and secondary school algebra with emphasis on functions. Topics include introductory algebra and functions; multiple representation; patterns; variation; linear, quadratic, and exponential functions; small systems of linear equations; inequalities; problems and techniques for teaching.

MATH 635 - Eucidean and Non-Eucidean Geometry
The development of Geometry as an axiomatic system starting with pre-epoch Greece, and following through to Non-Euclidean Geometries.  This coverage will include the development of the School-based SMSG (School Mathematics Study Group) geometries. The geometries examined will consist of Euclidean, Neutral, and Elliptic and Hyperbolic (non-Euclidean) geometries.  Euclidean Geometry is expanded using an Abstract Algebra point of view to introduce transformational geometry.  Then fractal geometry is developed using recursive transformations of geometric objects.  Projective geometry will be examined through perspective drawings.

MATH 641 - Mathematical Analysis and Modeling
Examines mathematical models of real life phenomena and develops solution strategies for open-ended problems.  The models are based on Calculus, Differential Equations and Linear Algebra; they may include discrete and continuous population models, diffusion processes, business and economics models, continuous and discrete optimization problems with calculus and linear programming.  Software may include Excel, Maple, Matlab or similar programs.

MATH/EDUC 650 - Graduate Seminar:  Theory and Practice in Mathematics Education
Examines literature in the theory and practice of mathematics education. Course content will vary semester to semester, in each case focusing on one specific topic. Possible topics include, but are not limited to, educational learning theories and mathematical connections, K-12 mathematics education curriculum reform, technology and the teaching of mathematics, international studies in mathematics education, or mathematical literacy. The course will include examinations of National Council of Teachers of Mathematics Standards and Virginia SOL documents. Students enrolled in the Master's Program in Education with a concentration in Mathematics will be expected to complete an extensive teaching or research project in this course during their final semester of the program, unless they receive prior permission to complete the project at some other time. Project choices must be focused in mathematics education and approved by the professor of record. This course must be taken in the final semester but be taken more than once for credit, provided the topic of study is different, with permission of instructor.

MATH 681 - Topics in Mathematics Education
The course is intended to provide an opportunity for members of the extended community who currently hold at least a bachelors degree to engage in study of a particular topic in mathematics education, which may include mathematics, pedagogy, or both. It will normally be used to offer in-service courses to public school teachers.

MATH/EDUC 691 - Professional Seminar:  Research in Mathematics Education
Students will be active contributors to the course through participation and leadership in classroom discussions and presentations. It will be essential students come to class prepared in this seminar-style course.

 

STAT 644 -- Applied Statistics
In this course students will develop a comprehension of, and an ability to perform, statistical methods that are most common in educational research.  Emphases will be placed on statistical concepts that will prepare teachers to teach AP Statistics and to critically examine and comprehend the data analysis in educational literature. Graphing calculators and computer software may be used to analyze and display data.  Lecture and self-directed learning will primarily be used.
Prerequesite: Undergraduate degree in mathematics or permission of instructor, some familiarity with basic statistics desirable
Offered: Every Fall (3 credits)