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Peter Kronfeld

Brain Calisthenics Help Break Down Abstract Ideas, Researchers Say - NYTimes.com - 0 views

  • Yet recent research has found that true experts have something at least as valuable as a mastery of the rules: gut instinct, an instantaneous grasp of the type of problem they’re up against.
  • Now, a small group of cognitive scientists is arguing that schools and students could take far more advantage of this same bottom-up ability, called perceptual learning. The brain is a pattern-recognition machine, after all, and when focused properly, it can quickly deepen a person’s grasp of a principle, new studies suggest.
  • Yet there is growing evidence that a certain kind of training — visual, fast-paced, often focused on classifying problems rather then solving them — can build intuition quickly
  • ...2 more annotations...
  • In a test on the skills given afterward, on problems the students hadn’t seen before, the group got 73 percent correct. A comparison group of seventh graders, who’d been taught how to solve such problems as part of regular classes, scored just 25 percent on the test.
  • “I find that often students will try to solve problems by doing only what they’ve been told to do, and if that doesn’t work they give up,” said Joe Wise, a physics instructor at New Roads School, where the study was done. “Here they’re forced to try what makes sense to them and to keep trying. The brain is very good at sorting out patterns if you give it the chance and the right feedback.”
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    Teaching 'perceptual learning skills' seems more effective than teaching 'mastery of the rules'. Developing an intuitive grasp of a problem (eg. fractions or graphs) helps students retain the ability.
Peter Kronfeld

The National Academies Press - 0 views

  •  
    Bernie Dodge tweeted this resource -- science books available as free pdf downloads. Found some cool ones, now I just need some 'free' time to read all the 'free' books.
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    If you come across one you like, please post to Math-a-manics. Thanks!
Peter Kronfeld

Many Variables in a New York Math Museum - NYTimes.com - 0 views

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    Cool! A museum with a focus on abstract math.
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