Download MTHC - Mathematics for Educators MTHC 5040 Number Theory (3)

MTHC - Mathematics for Educators
MTHC - Mathematics for Educators
MTHC 5040 Number Theory (3)
Students examine the basic concepts of number theory with an
emphasis on modular systems and their application to a variety of
empirical problems.
MTHC 5080 Puzzles and Proofs (3)
This course examines a variety of materials useful in developing
reasoning skills. Included are attribute block puzzles, Lewis
Carroll puzzles, logic puzzles, and a variety of games which
require deductive reasoning.
MTHC 5100 Functions and Structure (3)
This course investigates a variety of mathematical systems and
functions.
MTHC 5110 Perspectives in Elementary Geometry (3)
This course focuses on geometry for grades 5-8. May be repeated
for credit if content varies.
MTHC 5120 Topics for the Middle School Teacher (3)
MTHC 5130 Probability and Graphs (3)
Part of this course covers topics from probability and statistics
with applications to gambling and game theory. The other part
covers graphs, trees, and finite state automata.
MTHC 5150 Number Systems (3)
This course provides middle school teachers with a deeper
understanding of the real number system. Topics covered
include arithmetic algorithms in negative and whole number
bases; rational and irrational numbers; arithmetic and geometric
progressions; number properties; mental arithmetic; factorization
and divisibility of integers and of Gaussian integers; and number
puzzles and games.
MTHC 5200 Independent Study (1-6)
Students with special interests or needs that are not met by
existing curricula may request that a member of the faculty
supervise an independent study. Together the student and faculty
member decide the content of the independent study and the
criteria for evaluation. In no case may an independent study be
set up when an existing course already covers the subject. May
be repeated for credit if content varies.
MTHC 5210 In-Service Education (1-4)
Webster offers various graduate in-service courses that are not
part of the existing curricula but provide experiences important to
the academic and professional development of educators. Consult
the semester course listings for specific topics. May be repeated
for credit if content varies. This course does not apply toward an
M.A. in Mathematics for Educators.
MTHC 5230 Discrete Mathematics (3)
This course covers mathematical structures pertinent to an
understanding of computers, including graphs, Boolean algebra,
and finite state machines.
MTHC 5250 Vector Geometry (3)
Basic concepts pertaining to vectors in the plane are developed.
Proofs of theorems of plane geometry, using a synthetic
Webster University 2016-2017 Graduate Studies Catalog DRAFT
MTHC 5260 Algebra for Secondary Teachers (3)
Students examine and extend topics in secondary school
algebra. Techniques and materials for teaching algebra are also
discussed.
MTHC 5280 Calculus for Teachers (3)
The course reviews the basic concepts of differential and
integral calculus, with special focus on central ideas,theory,
and applications. Computers and/or graphing calculators are
used to help investigate ideas. Students enrolling in this course
are assumed to have completed the undergraduate calculus
sequence with grades of B or higher.
MTHC 5300 History of Mathematics (3)
This course is based on selected readings that examine the
history and philosophy of mathematics. An important goal is to
provide students with a perspective on the relationship between
mathematics and culture as well as an insight into how and why
mathematical ideas have evolved. May be repeated for credit if
content varies.
MTHC 5310 Geometry for Secondary Teachers (3)
This course deals with areas of geometry relevant to high school
teachers. Content varies according to the interests of the faculty
and students. May be repeated for credit if content varies.
MTHC 5320 Topics in Mathematics (3)
Typically this course introduces areas of mathematics not covered
in other courses. Content depends upon the interests of the
faculty and students. May be repeated for credit if content varies.
MTHC 5330 Probability (3)
Participants study probability on finite sample spaces along with
applications to gambling and game theory.
MTHC 5340 Topics in Mathematics Education (1-3)
The content of this course will include an analysis of curricular
materials, teaching methods, and/or issues in mathematics
education. May be repeated for credit if content varies. Not offered
at the St. Louis campus.
MTHC 5350 Logic (3)
This course includes propositional and predicate logic, with the
objective of increasing students’ understanding of what constitutes
valid reasoning, as well as increasing their ability to express
formal mathematical arguments.
MTHC 5360 Algebraic Structures (3)
Students examine the algebra of various mathematical structures
with the goal of gaining a broader and more sophisticated
understanding of ordinary algebra. Relevant theory is developed.
MTHC 5370 Linear Algebra (3)
Concepts and techniques of linear algebra are developed.
MTHC 5390 Statistics (3)
This course covers the basic concepts (including applications) of
the binomial and normal distributions, the chi-square test, analysis
of variance, and nonparametric statistics. Emphasis is placed on
educational applications as well as the abuses and misuses of
statistical ideas. Computers and/or graphing calculators are used
to investigate ideas.
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Course Descriptions
This course covers areas of mathematics and/or mathematics
education of particular interest to middle school teachers. Content
varies according to the interests of faculty and students. May be
repeated for credit if content varies. Not offered at the St. Louis
campus.
approach, an analytic approach, and a vector approach are
compared. The class introduces vector spaces.
MTHC - Mathematics for Educators
MTHC - Mathematics for Educators
MTHC 5410 In-Service Topics (1-3)
In-service courses are designed to provide teachers with practical
applications of contemporary research and methodology to
improve classroom effectiveness. . May be repeated for credit
if content differs. This course does not apply toward an M.A.
degree in Mathematics for Educators.
MTHC 5430 The Real Number System (3)
The course covers the algebraic and topological properties of the
real number system and several of its subfields and subrings.
MTHC 5450 Topics in Number Theory (3)
This course covers selected topics in number theory, such
as modular systems, quadratic reciprocity, number-theoretic
functions, Pythagorean Triples, and perfect numbers. Specific
topics to be determined by instructor. Relevant theory will be
developed.
MTHC 5480 Problem-Solving Strategies in
Mathematics (3)
The primary objective of this course is to help students develop
reasoning strategies that are powerful tools in solving problems.
MTHC 5500 Studies in Mathematics (1-6)
Courses in this category are offered on an irregular basis. May be
repeated for credit if content varies.
MTHC 5900 Final Reflections (0)
All math students are required to register for this zero-credit
hour course during their penultimate semester. Students write
an essay describing how they have changed as a result of their
participation in the math program. For specific guidelines see the
math coordinator. This course is graded on a credit/no credit basis
only.
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Webster University 2016-2017 Graduate Studies Catalog DRAFT