Course Descriptions
The MTE and SED courses that follow are already in place for the current NSF project:

MTE (Mathematics Education) Course Descriptions:

Middle:

MTE 564 Quantitative Reasoning - Elementary concepts of patterns, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. Prerequisite: At least six hours of undergraduate mathematics.

MTE 550 Seminar in Geometry - Concepts of Euclidean and non-Euclidean geometry with emphasis on deductive and inductive reasoning, discovery and proof, 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 curriculum. Prerequisite: At least six hours of undergraduate mathematics.

MTE 552 Patterns and Reasoning (Mathematical Modeling) - Applications of critical reasoning skills to topics which include an introduction to formal logic, relations and functions, patterns and recursion, transformations and modeling. Students will be required to have a graphics calculator. Prerequisites: At least six hours of undergraduate mathematics.

MTE 554 Seminar in Algebra - Real and complex numbers, field properties, patterns, relations, and functions, solutions to equations and inequalities, sequences and series, and mathematical induction. Students will be required to have a graphics calculator. Prerequisites: At least six hours of undergraduate mathematics.

MTE 556 Logic and Foundations of Mathematics - A further study of formal logic, introduction to fundamental mathematical structures and techniques of proof. Topics include logic, set theory, relations, and functions. Emphasis will be placed on communication about mathematics and construction of well-reasoned explanations. Prerequisite: MTE 552 and 554.

MTE 558 Numerical Techniques in Mathematics - Algorithmic and numerical approaches to problems in algebra, geometry, number theory, counting techniques, modeling and limiting processes. Students will use a variety of computer software and will be required to have a graphics calculator. Prerequisites: MTE 556.

MTE 560 Historical Perspectives of Mathematical Concepts - A study of the origins of basic mathematical concepts and the development of these concepts through present day mathematics taught in elementary school settings. Emphasis will be placed on the role of mathematics in the western culture and on the development of appropriate language and notation over time. Prerequisites: MTE 550, MTE 552, and 554.

MTE 562 Probability and Statistical Reasoning - Descriptive statistics, probability, random variables, binomial and normal distributions, statistical inference, and linear regression. Prerequisites: MTE 552 and MTE 554




Secondary Education and Educational Leadership:

The Middle School Learner - SED 578

Leadership and Mentoring in the Middle School - SED 578

Instruction and Supervision in the Middle School - SED 578

Evaluation and Assessment in the Middle School - SED 578




MTE (Mathematics Education) Course Descriptions:

Secondary:

MTE 565 Precalculus Mathematics - A combination of topics emphasizing concepts which are important in the study of calculus. Real and complex number systems; polynomial, rational, trigonometric, and transcendental functions; graphing in rectangular and polar coordinates using appropriate technology. Prerequisites: Nine semester hours of mathematics and graduate standing.

MTE 566 Differential Calculus - Limits, continuity, differential calculus of algebraic and trigonometric functions with applications; connections to the College Board AP calculus curriculum using appropriate technology. Prerequisites: MTE 565 or the equivalent and graduate standing.

MTE 567 Integral Calculus - Integral calculus with applications, techniques of integration, calculus of transcendental functions, indeterminate forms, improper integrals; connections to the College Board AP calculus curriculum using appropriate technology. Prerequisite: MTE 566 or the equivalent and graduate standing.

MTE 568 Topics in Advanced Calculus - Infinite series, sequences, power series, partial derivatives, multi-variable calculus using appropriate technology. Prerequisites: MTE 567 or the equivalent and graduate standing.

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. Prerequisites: MTE 567 or the equivalent and graduate standing.

MTE 572 Geometry Past and Present - Results from Euclidean geometry analyzed in an historical context. Proofs of many famous theorems are presented from both a classical and modern perspective, including appropriate use of technology. Connections to calculus will be emphasized. Prerequisites: MTE 570.

MTE 574 Survey of Mathematics I - A survey of topics from algebra and analysis with special emphasis on connections to geometry and the secondary mathematics curriculum. Topics include the real number system, functions, and equations, as well as issues related to curriculum, assessment, leadership, and mentoring. Prerequisites: MTE 568.

MTE 578 Probability Theory - An introduction to elementary probability theory; topics include probability, conditional probability, random variables, and elementary convergence concepts. Prerequisites: MTE 568 and MTE 570.

MTE 580 Statistical Reasoning - Concepts of random variables, probability distributions, functions of random variables, convergence concepts, and statistical inference. Prerequisites: MTE 578.

MTE 584 Modern Algebra and Number Theory - An introduction to the study of algebraic systems and number theory; topics include groups, rings, fields, properties of natural numbers. Prerequisites: MTE 570.

MTE 586 Survey of Mathematics II - A survey of geometry with special emphasis on connections to algebra, analysis and the secondary mathematics curriculum. Topics include congruence, distance and similarity, trigonometry, area and volume as well as issues related to curriculum, assessment, leadership, and mentoring. Prerequisites: MTE 568 and MTE 572.