MED 5430 Data Structures for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5450 (Minimum Grade of C, May not be taken concurrently)
Object-oriented principles, standard data structures, big-O notation, NP completeness, stacks, queues, generic data types, dynamic memory, recursion, linked lists, circular lists, doubly-linked lists, trees, binary search tree heaps, graphs, sorting algorithms, searching algorithms, object-oriented language implementation of data structures and algorithms. | 3 | 0 | 0 | | |
MED 5450 Object-Oriented Programming for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5720 (Minimum Grade of C, May not be taken concurrently)
Object-oriented programming techniques, encapsulation, constructors, destructors, overloading, single and multiple inheritance, polymorphism, composition, templates, iterators, member function access, data hiding, abstract classes, exception handling, projects. | 3 | 0 | 0 | | |
MED 5490 Graduate Research Project
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Semester-long research into a current topic or trend in mathematics or computer science education, leading to a Master's quality exposition on said research. Students will select and investigate a specific topic of their own interest with the approval and supervision of a graduate advisor. | 3 | 0 | 0 | | |
MED 5540 Databases for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5880 (Minimum Grade of C, May not be taken concurrently)
Database management, database system architecture, relational databases, SQL, domains, relations, relational algebra, relational calculus, integrity, views, normalization, database security, database connectivity, database programming, projects. | 3 | 0 | 0 | | |
MED 5590 Mathematical Modeling
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Introduction to the ideas of a mathematical model and model building, linear programming models, game-theoretic models, regression analysis models. Applications in business ecology, psychology, sociology, and political science. | 3 | 0 | 0 | | |
MED 5600 Psychology of Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Learning theories in a mathematical context, use of classroom technology, types of knowledge including conceptual and procedural knowledge, assessment, current research on educational psychology. | 3 | 0 | 0 | | |
MED 5610 Instructional Technology in Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Advanced study of mathematics and science pedagogies using computer assisted instruction, such as mathematical software, spreadsheets, and graphing calculators. | 3 | 0 | 0 | | |
MED 5630 Teaching Math Using Graphing Calculators
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Intensive 2-week class on the functions of graphing calculators, focusing on teaching techniques which use graphing utilities to facilitate conceptual understanding. There is a K-8 version of this course, and a separate version for grades 7-12 mathematics teachers. | 3 | 0 | 0 | | |
MED 5640 Instructional Technology in Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Advanced study of research on mathematics pedagogies using technology including, computer assisted instruction, mathematical software, spreadsheets, graphing calculators, and virtual manipulatives and the like. | 3 | 0 | 0 | | |
MED 5660 Graph Theory
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Trees, connectivity, coverings, planarity, colorability, networks and digraphs. | 3 | 0 | 0 | | |
MED 5700 Mathematics Modeling for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Mathematical modeling studies and solving real-world problems. Emphasis on setting up assumptions and methodology required to achieve a solution. Practical problems concentrating on the reasoning behind the set-up of the problem's solution. | 3 | 0 | 0 | | |
MED 5710 Computer Science for Teachers I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
An introduction to computer science. Problem solving and algorithm development. Basic programming and program structures using the modern structuring language C++. | 3 | 0 | 0 | | |
MED 5720 Computer Science for Teachers II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5710 (Minimum Grade of C, May not be taken concurrently)
A continuation of MED 571. Topics include recursion, data structures and their relation to algorithms, data abstraction, encapsulation, and object-oriented programming. | 3 | 0 | 0 | | |
MED 5730 Computer Science for Teachers III
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5720 (Minimum Grade of C, May not be taken concurrently)
Java applications, Java applets, control structures, methods, arrays, strings and characters, object-oriented programming, graphics and Java 2D, basic graphical user interface components, exception handling, files and streams, Java utilities. | 3 | 0 | 0 | | |
MED 5740 Advanced Java for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5730 (Minimum Grade of C, May not be taken concurrently)
Advanced graphical user interfaces, multithreading, Java Beans, Java networking, Java Database Connectivity (JDBC), Java servlets, Java security, Remote Method Invocation (RMI), Java Native Interface (JNI), Java 2 Micro Edition, Java programming with COBRA. | 3 | 0 | 0 | | |
MED 5750 Modern Concepts of Calculus I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4800 (Minimum Grade of C, May not be taken concurrently)
Functions, limits and continuity, derivatives and applications, definite integrals and applications. | 4 | 0 | 0 | | |
MED 5760 Modern Concepts of Calculus II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5750 (Minimum Grade of B, May not be taken concurrently)
Topics in analytic geometry, applications of the definite integral, advanced techniques of integration, improper integrals, Taylor polynomials, theory of infinite sequence and series. | 4 | 0 | 0 | | |
MED 5770 Teaching Elementary Math With Manipulatives
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Project-oriented exploration of tangible models used in teaching fundamentals of mathematics at the elementary level, conceptual versus procedural knowledge. | 3 | 0 | 0 | | |
MED 5790 Topics in Mathematics Education
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Topics selected from current research and trends in mathematics education. | 3 | 0 | 0 | | |
MED 5810 Modern Algebra for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4800 (Minimum Grade of C, May not be taken concurrently)
Structure of a mathematical system, set theory, symmetries, groups, rings, fields, homomorphisms, isomorphisms; in the context of number systems relevant to topics in K-12 mathematics teaching. | 3 | 0 | 0 | | |
MED 5820 Linear Algebra for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4800 (Minimum Grade of C, May not be taken concurrently)
Vectors, matrices, linear systems, determinants, inverse matrices, linear inequalities, linear programming. | 3 | 0 | 0 | | |
MED 5830 Geometry I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4470 (Minimum Grade of C, May not be taken concurrently)
MTH 4780 (Minimum Grade of C, May not be taken concurrently)
Intuitive and project-based computational study of Euclidean geometry and coordinate geometry, highlighting the major results in elementary and secondary geometry. | 3 | 0 | 0 | | |
MED 5840 History of Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
A historical development of mathematics from primitive origins to the present, concentrating on numeration systems, arithmetic models, Euclidean and non-Euclidean geometries, number theory, theory of equations, and the beginnings of calculus, Computer Science Evolution, Computer Generations, History of Programming Languages. | 3 | 0 | 0 | | |
MED 5850 Probability and Statistics for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
Organization and presentation of data, frequency distribution, measures of central tendency and variance, percentiles and standard scores, sampling theory, significance tests, correlation, standard forms of continuous distributions. | 3 | 0 | 0 | | |
MED 5860 Number Theory for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Divisibility, greatest common divisors, Euclid's algorithm, congruencies, the infinitude of the primes, sieve of Eratosthanes, sigma and tau functions, perfect numbers, Mersenne primes, Fermat's Little Theorem, Euler's Theorem, cryptography. | 3 | 0 | 0 | | |
MED 5870 Finite Mathematics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Sets, Functions and Proof Techniques, Logic and Logic Circuits, elations, Combinatorics, Graph Theory, Applications to Computer Science. | 3 | 0 | 0 | | |
MED 5900 Logic and Mathematical Inquiry
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Basic forms of philosophical argument as they appear in mathematics, symbolic logic, identifying salient points of an argument, construction of common forms of proof. | 3 | 0 | 0 | | |
MED 5930 Geometry II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MED 5830 (Minimum Grade of C, May not be taken concurrently)
MED 5900 (Minimum Grade of C, May not be taken concurrently)
Formal Euclidean axiomatic geometry with emphasis on proof construction, chains of proofs, topics in non-Euclidean geometry. | 3 | 0 | 0 | | |
MED 5990 Research Project
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
EDU 5000 (Minimum Grade of C, May not be taken concurrently)
Semester-long research into a current topic or trend in mathematics education, leading to a Master's quality exposition on said research. Students select and investigate a specific topic of their own interest with the approval and supervision of a graduate advisor. | 3 | 0 | 0 | | |
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