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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 16 Aug 2018
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      Replying to @dmc0603 @msmathlove and

      The crucial point is that we none of us remember what is of no interest to us -- and we all of us avoid what is actively unpleasant to us. Ask a random sample of college graduates to divide 11/31 by -53/97. All of them passed a test on this once. Does that matter today?

      1 reply 0 retweets 1 like
    2. Tara Houle‏ @TaraMathBC 16 Aug 2018
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      Replying to @MathPrinceps @dmc0603 and

      what matters is that kids were given the tools to figure it out efficiently and effectively. Math facts learned via rote and standard algorithms are these tools to learn as they're the best method for novice learners. Understanding comes through that process. Plain and simple.

      1 reply 0 retweets 0 likes
    3. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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      Replying to @TaraMathBC @dmc0603 and

      You do not address the question I raised. If none of this rote learning survives in the long run, then what is the value of it?

      1 reply 0 retweets 1 like
    4. Tara Houle‏ @TaraMathBC 16 Aug 2018
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      Replying to @MathPrinceps @dmc0603 and

      b/c ? raised isn't the right one. The value of rote is that it helps us develop our long term memory which creates our knowledge base & critical thought. Cognitive Load Theory; read about it here https://impact.chartered.college/article/shibli-cognitive-load-theory-classroom/ … research study here http://www.cogtech.usc.edu/publications/kirschner_Sweller_Clark.pdf …

      1 reply 0 retweets 0 likes
    5. Dr Eugenia Cheng‏ @DrEugeniaCheng 16 Aug 2018
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      Replying to @TaraMathBC @MathPrinceps and

      This article doesn't mention rote. Do you believe that rote is the only or best way to develop long term memory?

      1 reply 0 retweets 0 likes
    6. Tara Houle‏ @TaraMathBC 16 Aug 2018
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      Replying to @DrEugeniaCheng @MathPrinceps and

      sigh...one only obtains long term memory thru repeated practice. Also known as "rote".pic.twitter.com/sua4YtETmD

      2 replies 0 retweets 0 likes
    7. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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      Replying to @TaraMathBC @DrEugeniaCheng and

      Why, then, do students who "successfully" engaged in repeated practice of the division of fractions not retain their skill in this activity? Why do so many college graduates not recall how to divide 11/31 by -53/97?

      1 reply 0 retweets 0 likes
    8. Tara Houle‏ @TaraMathBC 16 Aug 2018
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      Replying to @MathPrinceps @DrEugeniaCheng and

      because they haven't MASTERED this basic math skill. Use of calculators and other manipulatives have inhibited their ability to do so. Simply "knowing" isn't good enuf. Without mastery long term memory cannot occur http://www.psy.cmu.edu/~siegler/Siegler-etal-inpressPsySci.pdf ….

      1 reply 0 retweets 0 likes
    9. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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      Replying to @TaraMathBC @DrEugeniaCheng and

      @TaraMathBC: See Bahrick & Hall (1991) J. Exp. Psych.: General, 120, pp. 20-33. Learners of algebra whose practice persisted only while it was imposed on them did not retain much. If practice is miserable, no one will persist in it once the obligation to persist is removed.

      1 reply 0 retweets 0 likes
    10. Tara Houle‏ @TaraMathBC 16 Aug 2018
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      Replying to @MathPrinceps @DrEugeniaCheng and

      Tara Houle Retweeted Claire Lehmann

      well that can be said for ANYTHING. That's what happens when kids haven't mastered basic math facts, like fractional arithmetic, so they can learn Algebra effectively. Try and rush students thru procedures w/o mastery, leads to disaster. Just saw thishttps://twitter.com/clairlemon/status/1030307817297563648 …

      Tara Houle added,

      Claire LehmannVerified account @clairlemon
      Because a) you want to store facts in your long term memory & retrieve them when relevant b) your working memory gets overloaded easily c) it's hard to be critical w/out having mastery & d) it's hard to be creative unless you have knowledge across domains https://twitter.com/Mexikansk/status/1030302461876219906 …
      1 reply 0 retweets 0 likes
      Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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      Replying to @TaraMathBC @DrEugeniaCheng and

      Ms Houle, you seem determined to ignore a basic point: you can't get kids to practice enough to achieve useful, durable results simply by compelling them to practice. This has been tried and tried and tried, and the main effect of the effort has been to inculcate math hatred.

      11:23 PM - 16 Aug 2018
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      • Dr Eugenia Cheng
      5 replies 0 retweets 1 like
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        2. Tara Houle‏ @TaraMathBC 16 Aug 2018
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          Replying to @MathPrinceps @DrEugeniaCheng and

          1.effective math teachers have ALWAYS done well by their students. If indeed your "opinion" was correct, we'd see horrific results coming out of high performing math nations, and we haven't.But we have seen trending declines where we they were once high, such as N.America.

          1 reply 0 retweets 0 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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          Replying to @TaraMathBC @DrEugeniaCheng and

          In Japan and Finland and many other traditionally high-performing countries, rote learning has been an extremely minor part of elementary mathematics instruction. I have observed many elementary mathematics lessons in Japan (and speak Japanese.) I know from direct observation.

          1 reply 0 retweets 0 likes
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        2. Tara Houle‏ @TaraMathBC 16 Aug 2018
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          Replying to @MathPrinceps @DrEugeniaCheng and

          2. this is a mischaracterization of effective math instruction which includes: lots of daily practice to ensure automaticity, so that creativity can then occur. If practice was truly ineffective, we wouldn't see beauty at a ballet performance, or magnificence at the Olympics.

          1 reply 0 retweets 0 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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          Replying to @TaraMathBC @DrEugeniaCheng and

          Effective math instruction is not just one thing, and not much practice is needed to achieve arithmetic automaticity -- but it must be practice of the right sort, and it must be undertaken by motivated students.

          0 replies 0 retweets 1 like
        4. End of conversation
        1. New conversation
        2. Tara Houle‏ @TaraMathBC 16 Aug 2018
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          Replying to @MathPrinceps @DrEugeniaCheng and

          3. practice is the starting point for any effective math lesson, but it also includes some exploration and inquiry. Novice learners require much more practice and THIS is what is missing in most elementary classrooms today, not allowing for higher order math concepts 2 develop.

          1 reply 0 retweets 0 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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          Replying to @TaraMathBC @DrEugeniaCheng and

          Again, Ms Houle, you pointedly refuse to acknowledge the significance of student motivation, and the profound consequences of practice whose effect is to undermine it.

          0 replies 0 retweets 1 like
        4. End of conversation
        1. New conversation
        2. Tara Houle‏ @TaraMathBC 16 Aug 2018
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          Replying to @MathPrinceps @DrEugeniaCheng and

          4. what has occurred over a 30 yr period is an obsession with child centred, inquiry based learning to the detriment of successful classroom instruction. When we know what works, and how to employ it, why do so many choose to ignore it?

          1 reply 0 retweets 0 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 16 Aug 2018
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          Replying to @TaraMathBC @DrEugeniaCheng and

          Ms Houle, I am a mathematician. I love mathematics. Its propagation to the next generation is an urgent concern of mine, to which I have given much of my life. I respectfully point out that Euler's ALGEBRA of 1770 remains arguably the best text ever written on this subject.

          2 replies 0 retweets 0 likes
        4. 8 more replies
        1. Tara Houle‏ @TaraMathBC 16 Aug 2018
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          Replying to @MathPrinceps @DrEugeniaCheng and

          5. I would advise ALL serious about education to determine what has already been proven to work https://leadinglearner.me/2018/03/11/5-evidenced-based-papers-all-teachers-should-read/amp/ …, probably more importantly, be aware of what HASN'T been proven to work. Those conversations based purely on opinion can go elsewhere. Good night.

          0 replies 0 retweets 0 likes
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