- Middle Level Only
- MTE 548 Quantitative Reasoning - Elementary concepts of sets, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. Special attention will be given to implementation of number concepts into the elementary and middle school classrooms.
- MTE 550 Conceptual Geometry - Concepts of Euclidean geometry with emphasis on deductive and inductive reasoning, discovery and justification, congruence and similarity, and creative thinking about quantitative, spatial, and logical situations. Special attention will be given to the implementation of geometry and measurement into the elementary and middle school curricula.
- MTE 552 Patterns and Reasoning - Applications of critical reasoning skills to topics that include numbers and operations, relations and functions, patterns and recursion, transformations and modeling, and connections to elementary and middle school mathematics. Students will be required to have a graphics calculator.
- MTE 554 Conceptual Algebra - Real and complex numbers, field properties, patterns, relations, and functions, solutions to equations and inequalities, and sequences and series. Special attention will be given to the implementation of algebraic concepts into the elementary and middle level curricula. Students will be required to have a graphics calculator.

- Middle and Secondary Level
- MTE 562 Probability and Statistics Reasoning - Descriptive statistics, probability, random variables, binomial and normal distributions, and inferential thinking. Special attention will be given to the existence and implementation of these concepts in the middle and secondary school classroom.
- MTE 555 Trigonometry - Trigonometric functions of angles, degree and radian measure, fundamental identities; common trigonometric formulas, solution of triangles; polar coordinates; inverse trigonometric functions and complex numbers. Special attention will be given to the historical development of trigonometry and to the implementation of trigonometric concepts into the middle and secondary school curricula.
- MTE 570 Logic and Proof - A study of formal logic, set theory, properties of relations and functions, and the basic structure of different forms of proof. Emphasis on mathematical reasoning and communication. Special attention will be given to the implementation of these concepts into the middle and secondary school curriculum.
- MTE 558 Concepts in Calculus - A survey of calculus concepts, including limits, derivatives, and integrals with emphasis on connections to patterns, rates of change, and area, as well as the development of proof by induction via the examination of patterns and limiting processes. Students will use a variety of computer software and will be required to have a graphics calculator. Special attention will be given to the implementation of these concepts into the middle and secondary curricula.
- MTE 565 Survey of Analytic Geometry and Functions - A combination of topics emphasizing concepts that are important in the study of calculus. Real and complex number systems; polynomial, rational, and transcendental functions; graphing in rectangular and polar coordinates using appropriate technology; conic sections.
- MTE 584 Modern Algebra and Number Theory - An introduction to the study of algebraic systems and number theory with topics to include groups, rings, fields, and properties of natural numbers. Special attention will be given to the implementation of these concepts into the middle and secondary school curricula.
- MTE 560 Concepts of Geometry with Historical Perspectives - An in-depth exploration of Euclidean Geometry. Includes the historical development of geometry concepts through present-day mathematics. Emphasis is placed on the communication of mathematics and appropriate use of notation. In addition, special attention will be given to the implementation of concepts in the middle and secondary school curricula.

- Seconary Level Only
- MTE 566 Survey of Calculus - Limits, derivatives, and integrals of various function families, including polynomials, logarithms, exponentials, and trigonometric function. Emphasis will be placed on applications of the concepts with special attention given to the implementation to the secondary school curriculum.
- MTE 580 Probability Theory and Statistical Inference - An intermediate study of the probability necessary for statistical investigations; statistical inference, including study of naturally numeric, as well as categorical data. Special attention will be given to the existence and implementation of these concepts in the secondary school classroom.
- MTE 568 Advanced Calculus - Infinite series, sequences, power series, partial derivatives, multi-variable calculus using appropriate technology. Special attention will be given to the implementation of these concepts to the secondary school curriculum.
- MTE 572 College Geometry Past and Present - Results from Euclidean geometry and non-Euclidean geometry analyzed in a historical context. Proofs of many famous theorems are presented from both a classical and modern perspective, including appropriate use of technology. Special attention will be given to the implementation of these concepts to the secondary school curriculum.