Mathematics Education (MATH)

MATH 5003. College Geometry. Prerequisite: MATH 2753. This course is a postulational approach to the study of elementary geometry through the real number system.

MATH 5023. Point-Set Topology. Prerequisite: MATH 2753. This course is a study of topological spaces, metric spaces, continuous functions, connectedness, separability, compactness, local compactness, and local connectedness.

MATH 5033. Introduction to Complex Variables. Prerequisite: MATH 2753. This is an introductory course in complex variable theory with application.

MATH 5043. Numerical Analysis. Prerequisites: MATH 2753 and MATH 3033. This course serves as an introduction to the principles and techniques of understanding, designing, and applying numerical algorithms. Applications to include finding roots of nonlinear algebraic equations and polynomials, numerical integration and differentiation, matrix iterative methods for solving systems of linear equations. Time permitting, approximation and interpolation by polynomials, curve fitting, and the numerical solution of differential equations will be considered. Error types, propagation, analysis and control and algorithm types, complexity, generality, and rates of convergence will be covered.

MATH 5053. Higher Order Thinking in Mathematics. This course will provide teachers in grades five through college with examples of lessons incorporating methods appropriate for students with different learning styles. These lessons will emphasize the use of manipulatives, hands-on materials, cooperative learning techniques, and technology. Topics include number sense and number theory, functions, probability and statistics, geometry, and measurement. This course will require a minimum of 45 classroom contact hours plus a three-hour follow-up session. The follow-up session for the fall class will be in the spring, and the follow-up session for the spring and summer classes will be in the fall. Credit will be given at the end of the follow-up sessions. A kit of manipulatives will be supplied to each teacher who completes the course for use in teaching mathematics.

MATH 5073. Introduction to Probability and Statistics. Prerequisite: MATH 2753. This course is a study of elementary theory of probability with statistical applications.

MATH 5083. Calculus for Teachers I. Prerequisite: Consent of instructor. A study of topics in elementary analysis designed to provide mathematical background and maturity for teachers of secondary school mathematics.

MATH 5093. Calculus for Teachers II. Prerequisite: MATH 5083. A continuation of MATH 5083.

MATH 5123. History of Mathematics. Prerequisite: MATH 2753. To examine how mathematics has developed from antiquity to modern times. To explore how the solution of real-world problems have spurred mathematical developments. To appreciate how civilization and culture have been influenced by and have influenced mathematics. To understand mathematical literacy and proficiency from a historical perspective.

MATH 5601-3. Workshop in Mathematics Education. Selected current topics related to elementary and middle school mathematics instruction will be studied.

MATH 5613. Special Topics. Prerequisite: MATH 2753. Special topics of interest to be selected from the following: mathematical modeling, operations research, graph theory, dynamic systems, real analysis, advanced discrete mathematics, advanced linear algebra, and others as needed.

MATH 6013. Intermediate Analysis I. Prerequisite MATH 2753: Consent of instructor. This course is a survey of the real numbers, analytic geometry, and calculus. Definitions and abstract concepts are stressed.

MATH 6023. Modern Abstract Algebra. Prerequisite: MATH 3063 or equivalent. This course will examine groups, rings, integral domains, fields, homomorphisms, and isomorphisms. Offered on demand.

MATH 6033. Math Thinking K–8 Teach. This course builds on the preliminary understanding of the intricacies of a numeration system and associated operations. The importance of the structural properties of the rational number system will be investigated. Students will be encouraged to develop algorithms within the system and show these algorithms can be generalized across the system. Formal definitions of addition and multiplication will be explored within their contextual uses.

MATH 6083. Project in Mathematics. Prerequisites: One three-hour course in research and statistics and six semester hours of graduate work in the major area of study. Approval by a committee composed of the professor teaching the course, the student’s advisor, and the dean of graduate studies. An in-depth study of a selected topic. A maximum of six hours credit can be earned in this course.

MATH 6103. Modern Geometry. Prerequisite: MATH 4003 or MATH 5003. A logical development of Euclidean and non-Euclidean geometries from basic axioms.

MATH 6113. Intermediate Analysis II. Prerequisite: MATH 6013. A continuation of MATH 6013.

MATH 6123. Algebraic Thinking. A course to help middle level and secondary teachers identify, describe, and foster algebraic thinking. Topics include analyzing written student work, listening to students, documenting patterns of student thinking, and asking questions. All units focus on connections between algebraic habits of mind and the algebra learning expectations enunciated by the National Council of Teachers of Mathematics.

MATH 6133. Geometric Thinking. This course builds on the preliminary understanding of the intricacies of shape and measurement. The student will examine aspects of two-and-three-dimensional shapes, extend geometric vocabulary, and explore both definitions and properties of geometric objects. Students will also complete a comprehensive study of angle, similarity, congruence, and the relationships between 3-D objects and their 2-D representation. The student will examine different aspects of size, develop facility in composing and decomposing shapes, and apply these skills to make sense of formulas for area and volume. There will be activities from a variety of sources and grade levels and connections will be made linking middle school geometry to more advanced topics taught at the secondary level. Dynamic computer software (Geometers Sketchpad), graphing calculators, Smart Boards, and the TI Navigator will be used to enhance the teaching and learning of geometry.

MATH 6173. Statistical Analysis. Prerequisite: MATH 4073 or MATH 5073. Probability, frequency distributions, sampling theory, hypothesis testing, regression analysis, correlation, and analysis of variance.

MATH 6553. Studies in Modern Mathematics for Secondary Teachers. A study of current content and trends in secondary mathematics programs, methods, and related topics. Offered on demand.

MATH 6583. Elementary Mathematics Concepts I. A study of current content and trends in elementary mathematics programs, methods, and related topics. Mathematics credit for this course is restricted to (1) elementary education students and (2) secondary education students preparing to teach mathematics in middle schools.

MATH 6593. Elementary Mathematics Concepts II. Prerequisite: MATH 6583. A continuation of

MATH 6583. Mathematics credit for this course is restricted to (1) elementary education students and (2) secondary education students preparing to teach mathematics in middle schools.

MATH 6911-6. Thesis: Mathematics Education.