The best way to understand math is learning how to fail productively - Quartz - 1 views
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Students who are presented with unfamiliar concepts, asked to work through them, and then taught the solution significantly outperform those who are taught through formal instruction and problem-solving. The approach is both utterly intuitive—we learn from mistakes—and completely counter-intuitive: letting kids flail around with unfamiliar math concepts seems both inefficient and potentially damaging to their confidence.
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So far, teachers have mixed reactions. They recognize that the approach is good but they worry about efficiency and standardized tests: will kids fall on high-stakes national and international tests?
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Kapur uses the research to make his case. Students get more output (deeper learning) for the same input (hours of instruction), which presents another problem: teachers have to get out of the way. “They [teachers] say it’s stressful to teach this way,” he says. “It’s easier to tell them [students] what you know.”
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