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February 2000, Volume 93, Issue 2

FEATURES

A Chinese Zodiac Mathematical Structure
John Lamb Jr.
One purpose of this article is to help readers identify the animal that corresponds to the year of their birth. Another is to define a structure on the Chinese zodiac so that the subsets of compatibles and opposites form closed substructures with interesting mathematical properties.

Photographs and Committees: Activities That Help Students Discover Permutations and Combinations
Jennifer Szydlik
Problem situations support students in discovering the multiplication principle, permutations, combinations, Pascal's triangle, and relationships among those objects in a concrete context.

Making Sense of Slope
Ann Crawford, William Scott
Examples that can be used to develop the concept of slope as a rate of change through three modes of learning: visualization, verbalization, and symbolization.

Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology
Gina Foletta, David Leep
A lesson focused on particular connections between geometry and measurement: How does change in shape affect the area of the interior region of parallelograms with the same perimeter?

Chaotic Behavior in the Classroom
Robert Iovinelli
This article does not completely define the mathematics of chaos. It simply presents an opportunity for students to become familiar with the fundamental premise of iteration for this relatively new branch of mathematics.