I wonder if it’s time to replace continuous math calculus with discrete (more sophisticated summations, series) in high school. I never formally took discrete math but it’s been way more generally useful in a digital world and gets you 90% of the way to calculus.
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It’s also conceptually easier. Like convolutions are far simpler to comprehend in discrete form. Difference equations seem more intuitive than differential. Some things are harder imo like Laplace and Fourier transforms.
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Stochastic calculus is what you wanted I think. Brownian motion and jumps and so forth. This is where both math finance and physics have to go to explain most phenomena seen / experienced. It’s a weird thing to find reality is stochastic; things flashing in and out of existence.
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I think that’s too much at high school level. I’d say algebra, basic probability —> discrete deterministic math. Rest is college forking tracks
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Both/and. 2-3 hours of math a day should be the norm, like in the best Russian, Indian, & Chinese schools.
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as a bonus we can teach people some type theory before they start hacking on python and improve the median code quality of the world quite a bit
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Calculus is such a beautiful methematical gem but you never use it in real life
But before we drop it for discrete math could we at least concentrate our focus on teaching people the value of compound interest, it affects their financial livelihood so much and Is so important
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It's weird to me that no one asks "why does this particular student need this kind of math" or "what kind of math would this student actually find useful" or "what kind of math fits this student's brain".
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