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Xachariah comments on How to Teach Students to Not Guess the Teacher’s Password? - Less Wrong Discussion
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Are you familiar with Dan Meyer's "Math Makeover" Tedx Talk? I'd highly recommend it.
It covers almost exactly this topic on the subject of math. He's also got curricula on a link on his blog (though it is a bit hard to locate in the sidebar). Also, in his talk he mentions people send him all sorts of stuff for different subjects, and a cursory look at the blog shows a ton of links, so you may be able to do more than just math work with pre-made lesson plans that require minimal tweaking.
That's an excellent talk-- Dan Meyer has something to protect. He's going to be living in the future made by the people who are learning (or not learning) math now. Sometimes scope insensitivity is useful.
He's evoking intrinsic motivation rather than trying to use grades as a substitute for it.
He's doing that and more. He's showing the children that math is more than the memorization of it's parts. Math is not an arbitrary set of rules that we learn because... adults make them learn it.
He's showing them that the universe runs on predictable rules. Math just happens to be how we express those rules. Even more important than building intrinsic motivation is that they get to see what a reductionist universe looks like.