730:  Middle Grades Mathematics

MATH Course Descriptions


MATH 136 – CALCULUS I.  (4 semester hours)   GEN ED D-II | QR
Prerequisites:  Four years of high school mathematics, including Algebra II, geometry, and trigonometry, and satisfactory score on Math Placement Exam and Math Placement Trig Exam; or MATH 117 or MATH 118, with grade of C or better.
A course in one-variable calculus including topics from analytic geometry.  Limits, derivatives, integration, and applications of polynomial, rational, trigonometric, and transcendental functions.  Includes lecture and recitation. 

MATH 183 – INTRODUCTORY STATISTICS.  (3 semester hours)  GEN ED D-II | QR
Prerequisite:  Satisfactory score on Math ACT and MPE, or COMPASS or KYOTE; or DMA 096C with a grade of C or better.
Introduction to elementary probability theory. The analysis of data by means of frequency distributions and the statistics which describe them.  The binomial and normal probability distributions.  Statistical inference.  Emphasis is on applied real world problems.  Not accepted for credit toward a 728/528 mathematics major or the 417 math minor.

STAT 301 – INTRODUCTORY PROBABILITY AND APPLIED STATISTICS.  (3 semester hours)
Prerequisite:  MATH 136 or MATH 142, with a grade of C or better.
A calculus-based introduction to applied statistics, with emphasis on analysis of real data.  Curve fitting, probability models, estimation and testing for means and proportions, quality control; use of computers for data analysis and simulation.
 
MATH 205 – NUMBER SYSTEMS AND NUMBER THEORY FOR TEACHERS.  (3 semester hours)
Prerequisite:  MATH 112 or 116 or 117 or 136 or 183 with a grade of C or better.
Development of conceptual understanding of elementary place value, operations on whole numbers and integers, number theory, basic algebra, and functions.

MATH 206 – FUNDAMENTALS OF GEOMETRY FOR TEACHERS.  (3 semester hours)
Prerequisite:  MATH 205 with a grade of C or better.
Conceptual development of fundamental concepts of geometry and measurement.

MATH 302 – INTRODUCTION TO ADVANCED ADVANCED MATHEMATICS FOR MIDDLE GRADES TEACHERS. (3 semester hours) (Previously numbered MATH 225)
Prerequisite: MATH 136
Development of skills in reasoning, abstraction, generalization, and making connections through the study of selected topics from logic, sets, relations and functions, combinatorics, number theory, graph theory, and matrix algebra, as appropriate for middle grades mathematics teachers.

MATH 304 – FUNCTIONS, APPLICATIONS AND EXPLORATIONS.  (3 semester hours)
Prerequisite:  MATH 137 or 302 with grades of C or better. 
In-depth study of mathematical topics that are used in teaching pre-calculus and transition-to-calculus courses at the middle and secondary school level.  Modeling with linear, exponential, and trigonometric functions; curve fitting; discrete and continuous models.

MATH 308 – RATIONAL NUMBERS AND DATA ANALYSIS FOR TEACHERS.  (3 semester hours)
Prerequisite:  MATH 205 with a grade of C or better.
Conceptual development of rational number system, including operations with and relationships among fractions, decimals, and percents; elementary probability and statistics.

MATH 310INTRODUCTION TO DISCRETE MATHEMATICS.  (3 semester hours)
Prerequisite:  MATH 137 with a grade of C or better.
Introduction to discrete topics.  Development of skills in abstraction and generalization.  Set theory, functions and relations, mathematical induction, elementary propositional logic, quantification, truth tables, validity; counting techniques, pigeonhole principle, permutations and combinations; recurrence relations and generating functions; elementary graph theory, isomorphisms, trees. 

MATH 323 – GEOMETRY I.  (3 semester hours)
Prerequisite:  MATH 307 with a grade of C or better.
Beginning with a re-examination of elementary Euclidean geometry, the course includes a study of absolute plane geometry and the parallel postulate, which leads to an axiomatic treatment of hyperbolic geometry and related topics.

MATH 403 – GEOMETRY FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS.  (3 semester hours)
Prerequisites:  MATH 206 and MATH 225 with grades of C or better.
Both formal and informal methods are used to explain the basic concepts of Euclidean geometry. Emphasis is given to the investigative approach, organizational skills, and problem solving.

MATH 411 – PROBLEM SOLVING FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS.  (3 semester hours)
Prerequisites:  MATH 206, MATH 225, and MATH 308 with grades of C or better.
Integrates concepts developed in algebra, geometry, logic, statistics, probability, and elementary number theory. Students are encouraged to use problem-solving strategies, models, and technologies, and to create problems of their own.

MATH 413 – ALGEBRA AND TECHNOLOGY FOR MIDDLE GRADES TEACHERS.  (3 semester hours)
Prerequisite:  MATH 302 with a grade of C or better.
The use of graphing calculators and computer software to explore algebraic ideas including patterns, functions, equations, inequalities, linear programming, curve fitting, and practical applications of algebra and technology.

MATH 421 – PROBLEM SOLVING FOR SECONDARY TEACHERS.  (3 semester hours)
Prerequisites:  MATH 307 or 310 with grades of “C” or better, or permission of instructor.
Utilizes various techniques and technology to solve mathematical problems.  Integrates concepts from algebra, geometry, trigonometry, probability, statistics, number theory, discrete mathematics, linear algebra, and calculus.

MATH 490 – SEMINAR IN MIDDLE GRADES MATHEMATICS.  (1 or 3 semester hours)
Prerequisite: Completion of at least 25 hours of mathematics courses required for the Middle Grades Mathematics Degree with grades of C or better.  Prerequisite/Corequisite:  MATH 411 or MATH 421.
Hands-on activities emphasize connections among various areas of mathematics; communicating mathematics effectively and applications of middle school mathematics.  Papers and oral presentations are required.

MATH 498 – SENIOR SEMINAR.  (3 semester hours)
Prerequisites: MATH 237 and MATH 317 with grades of C or better and senior standing, or permission of instructor. 
Students will study articles in current mathematical journals or undertake independent investigations in mathematics.  Written and oral presentations will be required.

 
Dr. David K. Neal, Lead Academic Advisor
Department of Mathematics
COHH 4108
Western Kentucky University
Bowling Green, KY 42101
270.745.6213