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Courses Taught at Plymouth State
University:
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MG 5860
(3cr)
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Pre-Calculus
for Middle School& Secondary Teachers
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This
course will focus on different methods of using algebra, trigonometry, and geometry
for solving analytical problems. Participants will be involved in group
work using activities and investigations that can be easily adapted to a
regular middle or high school class. Graphing calculators (TI-83 or TI-84)
will be used to explore functions.
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MG 5860
(3cr)
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Using
Technology in Middle School Mathematics
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Effective
teaching of mathematics requires appropriate pedagogical and mathematical
foundations. This course is designed
to introduce participants to technology and its possible uses in the middle
school mathematics classroom. This
course will work with some the following technological tools, based on
demand and the experience(s) of the students in the class:
- The TI-84 Graphics calculator
(will definitely be done)
- The Geometer's Sketchpad
- Tinkerplots Statistical Software
- Microsoft Excel (with or without
the statistics package)
- Microsoft Power Point
- World Wide Web/Internet software
Participants also will have the
opportunity to learn about technology, design lessons that use it, conduct
a formative evaluation of technology-based lessons and investigate and
solve mathematical problems with technology. Specific and appropriate mathematical
content (algebra, geometry, precalculus,
probability, statistics, etc.) will be used and discussed.
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MG 5740
(2cr)
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Developing
Mathematical Ideas: Measuring Space
in One, Two, and Three Dimensions
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Participants examine different attributes of size, develop facility in
composing and decomposing shapes, and apply these skills to make sense of
formulas for area and volume. They also explore conceptual issues of
length, area, and volume, as well as their complex inter-relationships.
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MG 5720
(3cr)
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Number
Systems and Number Theory
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Topics for the
course will include a study of the real number system and its subsystems
such as whole numbers, integers and rational numbers. Properties of those sets under various
operations will be investigated and algebraic structures such as groups and
fields will be examined.
Participants will use models to explore relationships among
fractions, decimals, percents, ratios and proportions. Estimation strategies and computation
techniques to judge the reasonableness of results and to approximate
solutions will be examined. Topics
will also include ideas from number theory such as the GCF, LCM, prime
numbers, perfect, abundant, and deficient numbers, the fundamental theorem
of arithmetic, and more. Topics
relating to proportional reasoning, limits and infinity will also be
explored.
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MG 5010
(3cr)
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Topics in
Pre-Calculus for Middle School Teachers
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This course
will explore the concept of functions; including linear, polynomial,
rational, exponential, logarithmic, and trigonometric functions. Selected topics from algebra,
trigonometry and analytic geometry will be considered. Graphing calculators will be used
throughout the course.
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MA 4910
(1cr)
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“Let’s
be Graphic”, Graphing in the Rectangular Coordinate System
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Independent
Study
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MA 4910
(1cr)
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“What
are your chances?” Theoretical and Experimental Probability
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Independent
Study
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MA 3070 (3 cr)
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Knowing and
Teaching Mathematics
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Continues
discovering the mathematical concept and pedagogical skills needed to become
a successful teacher of mathematics in grades K-6. Actively involved in
exploring how children learn mathematics and how to guide them in their
learning of mathematics. Discusses content, methods, curriculum,
assessment, national and state standards and grade level expectations and
appropriate technology use in the classroom.
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MA 3040 (1 cr)
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Mathematics
Laboratory Activities II
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The second of
two courses modeling many of the concepts of school mathematics using
activities involving Miras, Algeblocks,
Geoboards, Tangrams,
Calculator-Based Rangers and graphing calculators. Other activities explore
functions, e.g., recursion or rate of change, a variety of two and three
dimensional geometric concepts, including area and volume measurement, plus
some probability and statistics.
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MA 3030
(1cr)
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Mathematics
Laboratory Activities I
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The first of
two courses modeling many of the concepts of school mathematics using
activities involving Base 10 Blocks, Fraction Bars, Cuisenaire Rods, Algeblocks, Decimal Squares, Attribute Blocks and paper
folding. Other activities explore relationships among problem solving and
generalizing patterns, or various number sets and algebra.
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MA 3020
(4cr)
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Geometry,
Measurement, Data and Chance
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An integrated
approach to the study of mathematics concepts that builds upon the
foundation developed in MA 3010. Through activity-based learning,
problem-solving, cooperative learning, the use of technology and
communication, students investigate the integers, three-dimensional shape
and measurement, transformation and spatial visualization and selected
topics in algebra, probability and statistics.
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MA 3010
(4cr)
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Mathematics
in Our World II
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An integrated
approach to the study of mathematics for those pursuing majors in Childhood
Studies or Early Childhood Studies. Through activity-based learning,
problem-solving, cooperative learning, the use of technology and
communication, students study mathematics foundational to teaching
mathematics at the K-8 level including topics from the real number system
with an emphasis on the rational numbers, two-dimensional geometry and
measurement, and selected topics in algebra, probability and statistics.
Students are asked to reason inductively, deductively and by using
analogies. Students solve problems which require creative thought and not
just regurgitation or application of ideas.
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MA 2140
(4cr)
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Elementary
Functions
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With the
concept of function as a central theme, considers selected topics from
algebra, trigonometry and analytic geometry, including complex numbers and DeMoivre's Theorem. Graphing calculators are required
and used throughout the course.
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MA 2110
(4cr)
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Mathematics
in Our World I
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A mathematics
course for those pursuing majors in Childhood Studies or Early Childhood
Studies. The instruction format emphasizes activity-based learning,
problem-solving, cooperative learning and communication. Students study
mathematics foundational to teaching mathematics at the K-8 level including
topics from number, geometry and measurement, probability and statistics,
and algebra.
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