world-shaker:

I was working on a lesson with sixth graders and middle school teachers in doing math without any tools, just in your head. Not memorization, but logic.

So I said, “I’ve never really gotten the “9 x” table, so, if I asked you what 9x12 was, how would you figure it out?”

See, this is a question I cannot possibly answer for them. There is no “correct” answer possible.

“I’d say,” one student quickly responded, “that 9x9 is 81 and 9x3 is 27,” he paused, you could see him looking at the addition in his head to check himself, “and that adds up to 108.”

“That’s not the way to do it,” a teacher sitting at his table told the student, forcing me to intervene instantly. “That’s great,” I said, “perfect. But I can never remember that 9x9 thing like you can, so, does anyone have another way?”

The teacher had her answer, and she was thinking of traditional school questions, which are really not questions at all, whether asked on paper, or verbally, or via computers, or via clickers, but traps. ‘Gotcha’ devices to train kids to respond exactly the way they’ve been taught. When we ask real questions, kids stop repeating and start thinking, and learning.

This was a good post. You should click through for the rest.

Excellent post…the kind of stuff that makes me want start all over in school, with that person as my teacher.