I believe that we should start mathematics education with programming, then go to generator systems for numbers and operators over them, then how to form lattices and operators on patterns in the lattice, and do approximately continuous math and physics only at the very end.
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Replying to @Plinz
Wish my mathematics education as a kid started with Art (music, drawing, pottery, 3D modelling, etc.) - both analogue art and computer art (coding). Its a highly engaging & effective way to explain complex math problems. Get their passion going, before dropping heavy notation.
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Replying to @samim
Notation should ideally follow from a need to take notes.
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Replying to @Plinz
agree & catchy phrase there! How would you practically upgrade/reform math education & notion? Programming goes a long way towards that - but i doubt it will take-over in school anytime soon.
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Replying to @samim
Even more catchy phrase as an answer: the revolution will be extracurricular! I don't think that I would start with a general, one-fits-all solution, but with specific children, motivations and styles of understanding, and then see what generalizes.
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Replying to @Plinz
samim Retweeted samim
the revolution has always been extracurricular! the evolution on the other hand... Alan Kay has a bunch of great talks on the topic.https://twitter.com/samim/status/991950724836671488 …
samim added,
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Replying to @samim
But don't you see that everyone who identifies with the hivemind of their local civilizatory tradition is intellectually doomed? Humans basically still live on trees, and different cultures just happen to have different trees.
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Replying to @Plinz
Oh sure. Humans not only basically still live on trees, they are cutting down all trees in high-speed - leading to intellectual + physical doom. The question is, how a effective solution (education) can be implemented. I doubt ignoring the "hivemind" will work.
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Replying to @Plinz
samim Retweeted samim
Why is that a question? I find it more humane and sane to state such big things as questions. Too much certainty leads to dark places quicklyhttps://twitter.com/samim/status/998436900481495040 …
samim added,
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Ah, no, I meant in the opposite sense. If you find yourself in a computer game, and there is no manual or score counter, how do you figure out that the meaning and main storyline of the game is to fix $X, especially when $X routinely does not work?
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Replying to @Plinz
samim Retweeted samim
See the third quote by Mumford here (bottom right) https://twitter.com/samim/status/990472142364983296 … i would argue, you can only make such an argument sanely and respectfully, after you written 9 profound books making the counter argument (which mumford did) ;)
samim added,
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