“Children can and do construct their strategies, and when they are allowed to make sense of calculations in their own ways, they understand better. In the words of the mathematician Blaise Pascal, “We are usually convinced more easily by reasons we have found ourselves than by those which have occurred to others” (Fosnot, Dolk pg.102)
Loved this quote from Young Mathematicians At Work. I was reminded of a conversation we had earlier in the day, where we talked about students learning through their own exploration in science. It seems to be applicable also to math, exploring ideas on their own does not force information on to students. It encourages they to seek out new possibilities. Number sense now makes more sense than traditional algorithms.
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