A Better Way to Teach Math - NYTimes.com - 2 views
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“Almost every kid — and I mean virtually every kid — can learn math at a very high level, to the point where they could do university level math courses,”
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“If you ask why that’s not happening, it’s because very early in school many kids get the idea that they’re not in the smart group, especially in math. We kind of force a choice on them: to decide that either they’re dumb or math is dumb.”
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In particular, math teachers often fail to make sufficient allowances for the limitations of working memory and the fact that we all need extensive practice to gain mastery in just about anything.
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current teaching approaches underestimate the amount of explicit guidance, “scaffolding” and practice children need to consolidate new concepts. Asking children to make their own discoveries before they solidify the basics is like asking them to compose songs on guitar before they can form a C chord.
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he gained a reputation as a kind of math miracle worker. Many students were sent to him because they had severe learning disabilities (a number have gone on to do university-level math). Mighton found that to be effective he often had to break things down into minute steps and assess each student’s understanding at each micro-level before moving on.
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Mighton saw that if he approached teaching this way, he could virtually guarantee that every student would experience success. In turn, the children’s math anxiety diminished. As they grew more confident, they grew excited, and they began requesting harder challenges. “More than anything, kids love success,” he says, “and they love getting to higher levels, like in a video game.”
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Mighton saw that if you provided painstaking guidance, children would make their own discoveries. That’s why he calls his approach “guided discovery.”
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Schools in British Columbia evaluate students based on whether they meet expectations for learning outcomes. “Teachers who used Jump were suddenly finding that they had all of their kids in the ‘fully meeting expectations’ category,” Grant told me. “It was such a foreign experience. It doesn’t typically happen when we’re teaching science or language arts. And they were kind of at a loss. ‘What do we do about this?’”
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Even deeper, for children, math looms large; there’s something about doing well in math that makes kids feel they are smart in everything. In that sense, math can be a powerful tool to promote social justice. “When you have all the kids in a class succeeding in a subject, you see that they’re competing against the problem, not one another,” says Mighton. “It’s like they’re climbing a mountain together. You see a very healthy kind of competition. And it makes kids more generous to one another. Math can save us.”