I literally gave everyone that handout and told them, "To make sense of it, you're all going to do the next proof. I'll just prompt you." They thought this was impossible. But I told them to trust me and I began.
I went around the room. I asked one person what the next step in the flowchart was. I asked the next person to do it. I just wrote down what they said. Kept going until they had produced a complete proof of a result that, at the beginning, they did not know why it might be true.
The best comment I got from that class later was, "Proofs are easy. It is kind of like filling out a shopping list."
https://docs.google.com/document/d/1_uwl3WDZk_BxNOUL7W0FiPMM...
I literally gave everyone that handout and told them, "To make sense of it, you're all going to do the next proof. I'll just prompt you." They thought this was impossible. But I told them to trust me and I began.
I went around the room. I asked one person what the next step in the flowchart was. I asked the next person to do it. I just wrote down what they said. Kept going until they had produced a complete proof of a result that, at the beginning, they did not know why it might be true.
The best comment I got from that class later was, "Proofs are easy. It is kind of like filling out a shopping list."