It was the first week of school and I held up a chessboard in my honors class. “How many squares are on this board?” I asked. One student raised his hand and said there were 64. I asked him how he got the answer.
“I multiplied eight times eight.” I asked him to stand up along one wall of the classroom and instructed anyone who agreed to stand with him. About ten students remained in their seats. I asked one of them what he thought.