##### Rutgers/Lucent ALLIES IN TEACHING MATHEMATICS AND TECHNOLOGY Grant

*Using technology not simply to do things better, but to do better things.*

## A __STUDENT'S CONJECTURE__

Imagine that one of your students comes to class very excited. She tells you that she has figured out a theory that you never told the class. She explains that she has discovered that as the perimeter of a closed figure increases, the area also increases. She shows you this picture to prove what she is doing:

WITHOUT DISCUSSION FOR NOW, please write out how you would respond to this student.

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##### THE MATH FORUM: *Creating community, developing resources, constructing knowledge...*