MATHEMATICS CONCENTRATION FOR

ELEMENTARY AND MIDDLE GRADES EDUCATION

The Mathematics Department offers mathematics academic concentrations (24 semester hours) for the BS in Elementary Education (K-6) program, and the BS in Middle Grades Education program, offered through the School of Education. Courses and a recommended course sequence described below are particular to the Middle Grades mathematics concentration. An Elementary mathematics concentration does not require MATH 4319 Teaching Mathematics in the Middle Grades, but may comprise similar mathematics courses to those designed for prospective Middle Grades teachers.

Mathematics Concentration

BS Degree in Middle Grades Education

Course Number	Course Name	S.H.
MATH 1067	Algebraic Concepts and Relationships Equivalent: both MATH 1065 and MATH 2127	3
MATH 1077	Pre-Calculus Concepts and Relationships Pre-Requisite: MATH 1067	3
MATH 2121	Calculus for the Life Sciences I Pre-Requisite: MATH 1065 or MATH 1077	3
MATH 2122	Calculus for the Life Sciences II Pre-Requisite: MATH 2121 Equivalent: MATH 2172	3
MATH 2282	Data Analysis and Probability Pre-Requisite: MATH 1067 or MATH 1065 Equivalent: MATH 2283, MATH 2935, MATH 3228	3
MATH 3166	Euclidean Geometry Pre-Requisite: MATH 1067 or both MATH 1065 and MATH 2127 Equivalent: MATH 3233	3
MATH 3237	Discrete Mathematics Pre- or Co-Requisite: MATH 2121 Equivalent: MATH 2775	3
MATH 3239	Applied Mathematics Via Modeling Pre-Requisite: MATH 2282 and MATH 3166 and MATH 3237 Pre- or Co-Requisite: MATH 2122	3
MATH 4319	Teaching Mathematics in the Middle Grades Pre-Requisite: MATH 1065 (or equivalent), MATH 1075 (or equivalent), MATH 2127, MATH 3166; or consent of instructor.	3

MATH 1067 is a general college course. MATH 2282 and MATH 3166 are cognate courses. While it is recommended that ALL Middle Grades teachers take these three courses, only students with a concentration in mathematics will be required to take all three as part of their program of studies. Students preparing to be middle grades teachers with areas of concentration other than mathematics will be required to take MATH 1067 and either MATH 2282 or MATH 3166. MATH 4319 counts as a professional course. The academic concentration area includes 24 required hours.

Course Number	Course Name
MATH 1067	Algebraic Concepts and Relationships. The study of the properties of the integers, rationals, real and complex numbers and polynomials from an algebraic point of view; conjectures and intuitive proofs in number theory; the properties of linear and quadratic functions. Representations of real-world relationships with physical models, charts, graphs, equations and inequalities. An emphasis on the development of problem-solving strategies and abilities.
MATH 1077	Pre-Calculus Concepts and Relationships. A modeling approach to the study of functions (including logarithmic, exponential, and trigonometric function), data analysis and matrices; lays a foundation for future course work in calculus, finite mathematics, discrete mathematics and statistics.
MATH 2121	Calculus for the Life Sciences I. Introductory integral calculus with applications for students in the biological sciences. Introduction to and differentiation of the exponential, logarithmic and trigonometric functions; with applications of exponential and periodic phenomena, related rates, regions of increase, and extrema.
MATH 2122	Calculus for the Life Sciences II. Introductory integral calculus with the applications for students in the biological sciences. Introduction to and applications of definite integrals. Probability density functions. Functions of several variables, partial derivatives, simple differential equation and difference equation models, and the arithmetic of matrices and vectors.
MATH 2282	Data Analysis and Probability. Collection of data from experiments and surveys. Organizing and representing data. Interpreting data for the purpose of judging claims, making decisions, or making predictions.
MATH 3166	Euclidean Geometry. Study of Euclidean geometry using deductive and inductive mathematical reasoning. Formal proofs are required.
MATH 3237	Discrete Mathematics. Introduction to logic sets, mathematical induction, and matrices. Applications of discrete mathematics in probability, linear programming, dynamical systems, social choice and graph theory.
MATH 3239	Applied Mathematics Via Modeling. Consideration of real world problems that can be modeled with algebra, geometry, calculus, statistical, probabilistic, discrete, or other mathematical techniques. Mathematical modeling processes will be examined through historical and contemporary modeling success stories. Power and limitations of mathematical modeling will be considered.
MATH 4319	Teaching Mathematics in the Middle Grades. Four hours per week. Requires 8-10 clock hours of appropriate field experience. A study of techniques and methods of teaching mathematics in grades 6-9.