Changing Mathematics Teaching

in the Elementary School

Jack Easley and Elizabeth Easley


Emerging Communities of Practice:

Collaboration and Communication in Action Research

Bertram C. Bruce

Jack Easley


The Inquiry Page

A web site devoted to inquiry teaching and learning. It serves as a place for teachers to share stories of the classroom and teaching plans.


The pentagon problem

Cecil Rousseau

At the fall 1997 DIME meeting, to illustrate the wealth of attractive problems and results that could be used in teaching high school mathematics, I mentioned a geometry problem that was on the very first USA Mathematical Olympiad (1972). As part of a report on the meeting, a version of this problem appeared in the Spring 1998 Newsletter. However, the problem as stated is somewhat less interesting than the one that was intended. In particular, the problem that appears in the newsletter involves only the regular pentagon. The correct statement of the problem is given below, along with a solution (requiring only basic facts about the areas of triangles and trapezoids, and the solution of a quadratic equation).