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10/27/2013

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>I always find myself surprised by students' hesitation to state whether something will always work.

So interesting! My (college) students are too ready to generalize. They have taken in what they've been told, and believe too easily, too much.

I wonder if other 4th/5th grade students would be like yours, or if their hesitation is a strength of PCCS - it sounds like they are clear that mathematical properties do need some sort of proof.

To me it's obvious that (2a)*b=2*(ab). But at that age, they're not thinking 'algebraically' yet, so you are building their ability to see this. I am embarrassed to admit, it would never have occurred to me that this would be something students would need to work on.

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