Geometry Proofs: So Many Ways!

I teach Geometry.  My students struggle with the idea that there are lots of different ways to prove something.  What they really hate is that there isn’t one right answer.  I on the other hand get the most frustrated when a student is looking at a proof I have projected saying,  “I did something different … am I wrong?”

Prior to our 1:1 iPad environment, I would have said, “well let me come take a look” or “how about you write it on the board and we’ll look at it?” Oh the time I wasted waiting for kids to write on the board … oh the time I wasted looking at one kid’s work while the rest of the class stared off into the distance.

Enter Apple TV and students doing their homework in Notability on their iPads. Now I say, “could you mirror your iPad and we’ll look at your proof together as a class?”  Within seconds, the whole class is looking at an alternative method of proving something.  Sometimes  it’s right.  Sometimes it needs to be tweaked.  Other times, it’s way off.  But regardless, we get to look at several different proofs for each problem and still have class time left to do something else!