posted by:
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Judith Fonzi
on May 20, 2003
at 8:02AM
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subject:
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Examining 1/2 of 6
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The teacher move here reminded me of a discussion of part 1 of the keynote. I believe it was Anne that gave us an example of different algorithms for dividing fractions and she suggested that the teacher might try to relate the conjectured algorithm to a know algorithm. I thought this mathematical move might represent important mathematics content for teaching. As with all teacher knowledge knowing when to apply it is yet another challenge !
Actually, I loved the use of 1/2 of 6 -- but when Deborah asked if it was a good move for helping Riba think about 3/4 I was taken back, I thought she was using it to relate a known fact to the "not quite sure fact that fourths meant 4 in the group" so I had to go back to the video. Ah, of course the original question was about 3/4 so ultimately Riba was trying to understand 3/4 but in the process the teacher and Sean uncovered that her struggle was really with the conception of what the 4 means in x/4. I, therefore would ask, was this a good move to support Riba's development of the meaning of the 4 (albeit on route to making sense of 3/4). To which I think the answer is - yes. What surprised me was that Riba was the one who immediately took us back to the 3/4 -- I'm dying to know what happened with and for Riba after the voting issue was handled !
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