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DISCRETE
MATHEMATICS
INSTITUTE
For Connecticut Mathematics
Teachers
Grades 3 - 8
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June 30, July 1
& 2, 2003
Wesleyan University
Middletown, CT
Sponsored by Project to Increase Mastery of Mathematics
and Science and the Connecticut State Department of Education
Program is
Full/Closed |
What is Discrete Mathematics
Discrete Mathematics is the branch of mathematics
that deals with arrangements of distinct objects. One of the primary uses of
discrete math is the development of an optimal strategy to solving a problem,
such as- What is the best route? What is the least cost? What is the fastest
method of sorting?
Discrete math topics can be integrated into the
regular elementary curriculum and provide activities that engage students in
doing math, promote reasoning and representation, and demonstrate many
real-world applications of mathematics.
Institute Design
The institute will include three full day
programs, each addressing one of the following topics. Each day will consist of
a general session to introduce the topic of the day followed by
grade-appropriate implementation workshops.
COURSE OFFERINGS
Mathematical Modeling with Networks
Networks are constructed by connecting a series
of points with lines. Networks are very powerful tools for creating mathematical
models in a wide variety of situations. They have been used to find the best way
to route and schedule Post Office, Fed EX and UPS deliveries, and airlines.
Networks are also used by the government and security companies to construct
codes that are difficult to break. Participants in this session will begin to
explore the diverse topic of vertex-edge graphs (also called networks) and be
introduced to some of its applications.
Counting Procedures
Elementary grade discrete math problems include counting items such as the
number of ways to arrange a set of books on a shelf, the arrangements of
children in line, or how many ways a set of cards can be dealt. These lead to
much larger counting problems in the real world. How many lottery outcomes are
possible? Will your state run out of license plates? Will the country run out of
social security numbers? The fundamental principles of counting can help develop
reasoning and problem solving skills and can be applied in a wide variety of
practical situations. This session will actively involve the participants in
exploring basic counting principles.
Sorting Methods
Participants will explore different methods of arranging, organizing, and
analyzing information and understand how these methods are used in a variety of
real world situations. Activities and instructional materials presented will
include a variety of sorting methods. For example, how does a computer
alphabetize a set of names? Various methods of sorting will be compared and
contrasted. This session will involve participants in hands-on ways to sort out
the topic of sorting.
Cost: $120 per person
A check or school/district Purchase Order must be
included with the application. The Enrollment process will not be complete
without a check or Purchase Order.
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INSTITUTE GOALS
During the Discrete Mathematics Institute, teachers will:
- Explore new areas of discrete mathematics, some of which may be included on
the 4th Generation of the CMT.
- Develop a better understanding and appreciation of topics in discrete
mathematics.
- Experience discrete mathematics through hands-on active learning that can
be adapted to students' different learning styles.
- Engage in real-world problem solving activities that involve discrete
mathematics topics.
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Teachers will receive:
- Instructional materials
- A set of classroom
activities
- 1.5 CEU's (for full participation)
- Morning refreshments and lunch
Selection of Participants
Enrollment is limited to 40 teachers. Selection of participants will be made
on a first-come, first-served basis. If the program is over-subscribed, then
geographic distribution will be used to allow teachers from a larger number of
districts to attend.
Applications must be received NO LATER THAN MAY 9, 2003.
Participants will be
notified of selection by May 23, 2003.
For additional information, contact:
Dan Dolan, Director PIMMS
Wesleyan University
178 Cross Street
Middletown, CT
06459-0200 860-685-6455
ddolan@wesleyan.edu
This project is supported by funding from the CSDE Title II Eisenhower
Professional Development Program.
PIMMS, Wesleyan University, and CSDE do not discriminate in acceptance of
candidates on the basis of race, color, religion, sex, sexual orientation, age,
handicap, or national or ethnic origin.
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