Monday, September 24, 2012

Intro to proofs

Now as I begin to teach Geometry for the first time, it is terrifying. It has never been my favorite piece of mathematics, but then I know how the students feel that approach it apprehensively.

Today I introduced
conditionals, converses, inverses, and contraposatives.

These are very confusing words with very similar meanings so I devised this to help my students distinguish between the three.

Conditionals: original if-then statement

Converse: exchange the hypothesis and the conclusion
     "Conman"- Can't stay in one plate, they will get caught! Conmen must move places.

Inverse: Negate the hypothesis and the the conclusion
     "Infant" - Like a small child, says no to everything!

Contrapositive: Exchange and negate both the hypothesis and the conclusion
      "Conman's child" - If a conman had a child, they would have both of the above characteristics.


It's a way that helps me remember it. Hopefully it will help the kids.  I'll let you know.
-Teaching to learn and learning to teach

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