Course Listings

Fibonacci Minicourse

Objectives

Introduce participants to the nuts and bolts of online education.
Make participants aware the Fibonacci numbers and how they fit into various curricula.
Contribute to the development of the Focus on Mathematics mathematics community,

Description

This is a one week minicourse.  The following is an outline of the mathematical content of the course.

-  Sequences
-  Definition of the Fibonacci Sequence
-  Warm-up exercises
-  History
-  Fibonacci Sequences in the Real World
-  Pisa Nim, a two person game
-  Vertical Alignment of the Fibonacci Sequence in the school curriculum
-  Problems to work on

This is a noncredit course with 10 PDP's available.

For more information...

Ken Levasseur,   (Kenneth_Levasseur@uml.edu)

Discrete Structures (92.400)

Objective

Introduce teachers to some of the fundamental concepts that permeate graduate level mathematics.

Description

An examination of the following topics from structural and algorithmic points of view:  propositional logic,  combinatorics, mathematical systems; sets, relations, functions, methods of proof, mathematical reasoning, induction and recursion,  graph theory.

Completion of this course will earn you three undergraduate credits or 45 PDP's.

For more information...

Al Doerr  (Alan_Doerr@uml.edu)

Mathematical Problem Solving  (92.420)

Objectives

-  To improve the problem solving ability of the individiuals in the class.
-  To help teachers transform their classes into active learning environments.
-  For curriculum developers and department chairs, to develop effective content-based professional development experiences for their colleagues.
-  For students, to make them aware of current efforts in mathematics education to problematize the curriculum and improve student learning.

Description

Two threads are will be interwoven through the semester. One will be the activity of solving mathematical problems.  Students will be given an opportunity to solve a variety of challenging problems, with much of the discussion designed to support this activity.  A second thread will be a discussion of how K-12 mathematics can be taught through problem solving.  The course primarily designed for grades 6-12 teachers.

Completion of this course will earn you three undergraduate credits or 45 PDP's.

For more information...

Ken Levasseur,   (Kenneth_Levasseur@uml.edu)