DISCRETE
MATHEMATICS
INSTITUTE
For Connecticut Mathematics
Teachers Grades 3 - 8

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.

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.

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.