** "Kids Doing Proofs"**

Proofs have been a part of Geometry for centuries. We can use different kinds of reasoning to develop a proof. We often use deductive reasoning and write our proofs in formal two column form, but some people prefer to use paragraph form. Inductive reasoning will sometimes suggest a proof that can then be formalized. Occasionally a conclusion can only be proved indirectly, and these proofs are commonly written in paragraph form. In this project we want you to look at an internet discussion about proofs and their value and even continue the discussion with your peers using e-mail. After some reading and some discussion, develop your own ideas about proofs and their place in learning geometry.

One of the most famous theorems in Geometry is the Pythagorean Theorem, which can be proved in many different ways. If you like history, you might be interested in learning a little about the Pythagorean brotherhood.

Perhaps you've heard of Euclid's Elements. Euclid's books are the most famous books about geometry. You can find out more about Greek mathematicians at the Vatican exhibit.

Now you're ready to look at some proofs and then write your own. Here are some examples of three different kinds of proofs. Remember to QUIT Sketchpad to return to the Home Page.

The beginning kids picture is from "http://kids.com/"

If there are any problems or questions contact Dee Roever at
DRoeverKHS@aol.com or Steve Weimar at steve@mathforum.org

15 November 1995