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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 1 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      It is easier to see it in the picture I have shown you. But symbolic representations are powerful. Just as written language is powerful.

      1 reply 0 retweets 1 like
    2. Laurens Gunnarsen‏ @MathPrinceps 1 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      No symbolic representations are needed, though, to appreciate the wonder of this number, which, like the best words, has multiple meanings.

      2 replies 0 retweets 1 like
    3. Laurens Gunnarsen‏ @MathPrinceps 1 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      And indeed some of the meaning in a number may be best appreciated by "seeing it," rather than by representing it by symbols of any kind.

      1 reply 0 retweets 1 like
    4. Laurens Gunnarsen‏ @MathPrinceps 1 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      Some of the meaning of a word comes from its sound when pronounced -- and some of the meaning in a number comes from its visible "shape."

      2 replies 0 retweets 1 like
    5. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      I've stressed that numbers are like words, and the metaphor continues: mathematics is like language, its masterpieces like great narratives.

      1 reply 0 retweets 1 like
    6. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      Unfortunately, mathematics education aims to teach the written language of mathematics before its students have learned the spoken language.

      1 reply 0 retweets 1 like
    7. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      Learning a new abstract system of symbolic representation in order to write the words of a language you do not speak is naturally very hard.

      1 reply 0 retweets 1 like
    8. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      We wait until children have extensive experience of spoken language before we try to teach them to read and write. By then, they're eager.

      1 reply 0 retweets 1 like
    9. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      To a child of five or six, reading and writing are like magical superpowers. The desire to wield them independently of adults is tremendous.

      1 reply 0 retweets 1 like
    10. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      The desire to master an abstract symbolic system of representation must spring from a vivid, personal appreciation of its power and utility.

      1 reply 0 retweets 1 like
      Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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      Replying to @MathPrinceps @WriterobinRS

      Such an appreciation can only come from extensive experience with the phenomena it was meant to make amenable to analysis and preservation.

      1:52 PM - 5 Oct 2017
      • 1 Like
      • Robin Swicord
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        2. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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          Replying to @MathPrinceps @WriterobinRS

          But very few students of mathematics have an extensive experience of mathematical phenomena before we begin to teach technique & notations.

          1 reply 0 retweets 1 like
        3. Laurens Gunnarsen‏ @MathPrinceps 5 Oct 2017
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          Replying to @MathPrinceps @WriterobinRS

          Ms Swicord, if you are as yet unacquainted with Paul Lockhart's MATHEMATICIAN'S LAMENT, I certainly recommend it: http://bit.ly/1iaLh2Q 

          2 replies 0 retweets 2 likes
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