Undergraduate Middle School Mathematics (MMAT) Course Listings
MMAT 3309
FOUNDATIONS OF MATHEMATICS 3--INTERMEDIATE
This course advances knowledge and skills from EMAT 2306 and EMAT 2307 and involves analyses of intermediate mathematical structures, their construction, and synchronous mappings into multiple embodiments (e.g., symbolic, situational, technological, geometric, and others). Clinical, laboratory, and field experiences provide opportunities to construct and assess selected structures according to established theories.
Prerequisites: EMAT 2306 with a grade of C or better and EMAT 2307 with a grade of C or better.
MMAT 3309 Texas State Board Educator Certification (SBEC) Mathematics Standards (linked PDF file).
MMAT 3312
MEASUREMENT AND GEOMETRY
An in-depth study of measurement and geometry. Topics include length, area, volume, the metric system, transformations, symmetry, congruency, similarity, proof, and coordinate systems, using technology and the van Hiele model of geometry instruction.
Previous course number: MATH 3312; a student may use MMAT 3312 to replace a grade received in MATH 3312; however, one may not receive credit for both MMAT 3312 and MATH 3312.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3313
ALGEBRAIC STRUCTURES
An in-depth study of algebraic structures. Topics include meaningful learning of concepts and properties of relations, functions, binary operations, groups, rings, and fields, using technology when appropriate.
Previous course number: MATH 3313; a student may use MMAT 3313 to replace a grade received in MATH 3313; however, one may not receive credit for both MMAT 3313 and MATH 3313.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3314
BASICS HISTORY OF MATH
An introductory study of the history of mathematics. The mathematics of various civilizations will be studied and will include topics from number systems, Euclidean geometry, number theory, algebra, analytic geometry, calculus, non-Euclidean geometries, and set theory.
Equivalent course: EMAT 3314.
Prerequisites: EMAT 2307 with a grade of C or better.
MMAT 3315
PROBABILITY & STATISTICS
An in-depth study of probability and statistics. Topics include descriptive statistics, probability, and inferential statistics, using calculator and computer technology.
Previous course number: MATH 3315; a student may use MMAT 3315 to replace a grade received in MATH 3315; however, one may not receive credit for both MMAT 3315 and MATH 3315.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3316
MATHEMATICS IN A COMPUTER ENVIRONMENT
This course studies mathematics that can be developed and explored in an environment that includes the computer as the primary investigative tool.
Previous course number: MATH 3316; a student may use MMAT 3316 to replace a grade received in MATH 3316; however, one may not receive credit for both MMAT 3316 and MATH 3316.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3317
BASICS OF DISCRETE MATHEMATICS
An introductory study of discrete mathematics. Topics include uses of mathematical notation, concepts, principles, and proofs applied to combinatorics, relations, graph theory, recursion, and generating functions.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3318
BASICS OF NUMBER THEORY
An introductory study of number theory. Topics include uses of mathematical notation, concepts, principles, and proofs applied to divisibility (e.g., primes, factorization, gcd, Icm), modular theory, Diophantine equations, multiplicative functions, Pythagorean triples, Fibonacci sequences, and applications to cryptography.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3319
MATHEMATICAL STRUCTURES & PROCESSES
An in-depth study of mathematical structures and processes. Topics include: concepts, principles, skills, proofs, and applications of logical, axiomatic, and algorithmic mathematical structures and processes.
Previous course number: MATH 3319; a student may use MMAT 3319 to replace a grade received in MATH 3319; however, one may not receive credit for both MMAT 3319 and MATH 3319.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3320
BASICS OF MATHEMATICAL MODELING
An introductory study of mathematical modeling. Topics include the exploration of real world and mathematical situations using Algebra, Geometry, Probability and Statistics, Trigonometry, and elementary Calculus using calculator and computer technology when appropriate.
Prerequisite: EMAT 2307 with a grade of C or better.
MMAT 3321
MATHEMATICAL PROBLEM SOLVING
This course is a study of mathematical problem solving using heuristics to investigate problems drawn from Algebra, Geometry, Probability, Statistics, and Calculus with the aid of calculator and computer technology, when appropriate. Topics include Polya's problem-solving model, teaching for, about, and via problem solving, and problem posing.
Prerequisite: MMAT 3320 with a grade of C or better.
MMAT 4322
CAPSTONE RESEARCH PROJECT
Students will design, construct, and evaluate research-based units and technologically enhanced materials for use in teaching mathematics in the middle school. The units will be composed of mathematical content selected from the History of Mathematics, Algebraic Structures, Measurement, Geometries, Probability, Statistics, Mathematical Structures and Processes, Discrete Mathematics, Number Theory, Mathematical Modeling and Problem-Solving. Classroom discussions will address mathematical content, mathematics education research, and research methodology. Oral presentations and written reports will be required.
Prerequisite: MMAT 3315, MMAT 3320, and at least two (2) of MMAT 3312, MMAT 3313, MMAT 3317, MMAT 3318; all with grades of C or better.
