Mathematics
Number Theory
MATH 7000 3 cr.
This course is a formal study of the classical theory of numbers including such topics as divisibility, primes, congruency, Diophantine equations, number theoretic functions and quadratic reciprocity.
The Modern Secondary School
MATH 7012 3 cr.
This course is required of all MAT candidates who do not have initial licensure to teach and covers a broad range of issues faced by teachers in today's secondary schools. Students become familiar with the complexities and demands of secondary school teaching. The course includes 25 hours of prepracticum experience.
Technology in the Classroom
MATH 7100 3 cr.
This course is a study of the various ways in which technology can be used in the K-12 classroom. Students will perform and develop lessons based on calculators, graphing calculators, computer graphing and algebra software such as Mathematica and Geometer's Sketchpad, and become familiar with the uses of the Internet in the K-12 setting.
History of Mathematics
MATH 7200 3 cr.
Students will study the development of mathematical ideas, from ancient to modern times, and their relevance for other fields of knowledge. Special attention is given to several of the most important original writings in mathematics.
Geometry
MATH 7300 3 cr.
This is a formal study of basic and advanced concepts of Euclidean, non-Euclidean and projective geometry.
Mathematical Modeling
MATH 7400 3 cr.
The designs of mathematical models for solving problems in the physical, social and life sciences are examined. Emphasis is on the use of mathematics in such problems as traffic flow, group decision making and queuing.
Discrete Algebraic Structures
MATH 7450 3 cr.
A study of discrete algebraic structures is part of this course. Topics include: Set theory, Boolean algebra, partial orders, equivalence relations, recursions, functions, graph theory, finite automata and combinatorics.
Advanced Methods of Teaching at the Secondary Level
MATH 8000 3 cr.
This course combines academic study with clinical practice and supervision. Theories and topics studied and demonstrated include learning styles, critical thinking, computer applications and inclusive learning environments. Emphasis is placed on integrating culturally or linguistically diverse students and those with special needs. Interdisciplinary course development and implementation, student assessment including portfolio assessment and writing are studied for utilization across the curriculum.
Prerequisite: MATH 7012 or initial teacher licensure.
Practicum
MATH 8090 3 cr.
See BIOL 8090 for course description.
Analysis
MATH 8100 3 cr.
This course is a careful development of the core analysis topics of limits, continuity, differentiation, integration, and sequences and series. Both the real number setting and the complex numbers will be considered.
Probability
MATH 8200 3 cr.
Topics include discrete and continuous random variables, expectations, variance, covariance, probability density functions, moment generating functions and classical probability distributions.
Curriculum and Technology
MATH 8250 3 cr.
This course looks at the integration of educational technology in the classroom and its relationship to learning theories and curriculum, specifically, the Massachusetts Curriculum Frameworks. This course explores the use of the Internet as a classroom resource to strengthen curriculum. Various Internet related topics are covered, such as acceptable use policies and copyright issues.
Curriculum Design & Development
MATH 8260 3 cr.
This course is designed to provide students with knowledge and skills of the curriculum development-revision process. The course examines societal demands on the curriculum and the role of the American school in a democratic and multicultural society as students assess, revise, and implement instructional programs and the curriculum in a systematic and logical way. Active participation in school-based curriculum teams, IEP teams, site-based management teams and community groups teach effective delivery of services to all students and school improvement/reform efforts. In collaborative groups students review, revise, and expand the curriculum and assessment procedures in order to integrate current research findings and education reform initiatives.
Abstract Algebra
MATH 8300 3 cr.
Students will study algebraic structures including groups, rings, integral domains and fields. Topics include homomorphisms, factor rings and factorization domains.
Topics in Advanced Mathematics
MATH 8900 3 cr.
Courses having a more narrow focus or those taught on an irregular basis may be offered. New courses may be taught on an experimental basis under this title.
Clinical Experience
MATH 9400 6 cr.
See BIOL 9400 for course description.
Internship
MATH 9500 3 cr.
See BIOL 9500 for course description.
|
