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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Notation should ideally follow from a need to take notes.
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I wish I'd read https://mitpress.mit.edu/books/structure-and-interpretation-classical-mechanics … before I did it the 'standard' way.
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Apart from the fact that math teaching is universally bad in most schools: once we form the belief that continuous spaces describe the foundational plane of reality, it takes often more than a lifetime to fix.
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Programming + logic I would say, and I might want to lump physics, chemistry, economics etc into the “word problems” section of math class.
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You could start with Principia Mathematica and work down (up?)wards.
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Probably would be much more practical like when tf am I gonna have to know what tan(76) is like what
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