Towers of Hanoi Proof
This is the Towers of Hanoi. The puzzle is almost intuitive: how can you move the tower from the left peg to the right without placing any larger disks on top [...]
Student Proof: connect a point on a circle to the two endpoints of a diameter, and you to get a right triangle
A few weeks ago a student and I noticed that if connect a point on a circle to the two endpoints of a diameter, you seem to get a right triangle. After working [...]
From Problem to Question to Proof to Problem
We spent the next twenty minutes recollecting the argument and writing it down. It was an amazing accomplishment for a second grader.