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MathPrinceps's profile
Laurens Gunnarsen
Laurens Gunnarsen
Laurens Gunnarsen
@MathPrinceps

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Laurens Gunnarsen

@MathPrinceps

Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.

Joined June 2012

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    1. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      The half-life for the decay of those skills attained by practice of this sort is not long; typically a year or two suffices to efface them pretty completely. (Indeed, in many cases the half-life is best measured in weeks.)

      1 reply 1 retweet 3 likes
    2. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      And once they have been effaced, the obvious question becomes: what was the point of all that practice?

      1 reply 1 retweet 3 likes
    3. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      No skill has value unless it is retained, and no skill is retained unless its exercise benefits the user. It is therefore an essential part of the transmission of skills to make their exercise gratifying to those to whom we would transmit them.

      2 replies 1 retweet 10 likes
    4. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      Failing in the discharge of this obligation is failing in all respects.

      1 reply 1 retweet 5 likes
    5. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      It is certainly true that effort is needed to acquire skill, and that skill is needed for successful performance of complex tasks. But not all exertion is miserable, nor need it be.

      1 reply 0 retweets 3 likes
    6. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      The notion that suffering ennobles is pernicious. Merely because a form of practice is onerous does not make it valuable.

      1 reply 0 retweets 3 likes
    7. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      A key question, typically sadly neglected, is: what practice regimen is optimal? In professional and Olympic sports, systematic attempts to answer this question have led to vast improvements in outcomes.

      2 replies 0 retweets 2 likes
    8. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      Certainly not all forms of practice are equally beneficial, and excess practice of the wrong sort can be harmful. So one may reasonably question the wisdom of advising practice without specifying what sort of practice is advisable.

      1 reply 0 retweets 2 likes
    9. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      Only experiment can determine what practice regimen is optimal, but it seems clear that the search should be guided by the experience and intuition of experts (who, after all, have acquired their expertise through practice of a presumably more-nearly-optimal sort.)

      1 reply 0 retweets 2 likes
    10. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      But experts have very little incentive to grapple seriously with this question. And so we have a sort of tragedy of the commons: it's to the advantage of every individual expert to imagine this work to be somebody else's job -- with the result that no one even attempts to do it.

      1 reply 0 retweets 2 likes
      Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @MathPrinceps @stevenstrogatz and

      And with experts ignoring the job, it falls to those whose expertise is scant -- who, unsurprisingly, achieve poor results.

      6:58 PM - 8 Aug 2018
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        2. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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          Replying to @MathPrinceps @stevenstrogatz and

          What happens when a real expert undertakes to devise a practice regimen based on his own experience and intuition? A conspicuous and instructive example is that of Frédéric Chopin, whose etudes are practiced by every pianist aspiring to mastery of the instrument.

          1 reply 1 retweet 5 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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          Replying to @MathPrinceps @stevenstrogatz and

          But Chopin's etudes are far more than mere technical exercises; they're also compositions of great beauty, frequently programmed, and beloved by pianists and audiences alike.

          1 reply 0 retweets 3 likes
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