JustinSkycak

12 ms·

1. 91.▲
   by JustinSkycak 2y ago

   It can definitely be helpful to take a top-down approach in planning out your overarching learning goals. However, the learning itself has to occur bottom-up. Especially in math. Math is a skill hierarchy, and if you cannot execute a lower-
2. 92.▲
   by JustinSkycak 2y ago

   Are you suggesting that when a student is struggling in calculus class due to not knowing their algebra, their issue can somehow be resolved without them having to learn algebra?
3. 93.▲
   by JustinSkycak 2y ago

   Reminds me of my colleague's recent post on his experience getting up to speed on his dissertation topic while doing a PhD in mathematics: https://x.com/ninja_maths/status/1820583797491925386 I'll quote
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   The Making of an Expert(hbr.org)

   2 points by JustinSkycak 2y ago|0 comments
5. 95.▲
   by JustinSkycak 2y ago

   Kind of depends what exactly you're trying to learn, but if you're working up to ML/AI, then there's How to get from high school math to cutting-edge ML/AI from last week: https://news.ycombinator.com&#
6. 96.▲
   Should we teach children to memorize the multiplication tables?(scienceoflearning.substack.com)

   4 points by JustinSkycak 2y ago|4 comments
7. 97.▲
   by JustinSkycak 2y ago

   This is one reason why it's helpful to learn bottom-up when possible as opposed to diving straight into the deep end and trying to fill in missing knowledge as you go.
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   You are not dumb, you just lack the prerequisites(lelouch.dev)

   760 points by JustinSkycak 2y ago|403 comments
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   One of the Weirdest, Most Treacherous Math Problems You Will Ever Encounter(justinmath.com)

   2 points by JustinSkycak 2y ago|2 comments
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    Visualization of all math topics from 4th grade through university(twitter.com)

    3 points by JustinSkycak 2y ago|1 comments
11. 101.▲
    by JustinSkycak 2y ago

    Check out https://mathacademy.com/how-it-works , especially the section "The Learning Process," but let me know if you have any follow-up questions not addressed there. Pricing is a flat $49/mo per student, ba
12. 102.▲
    by JustinSkycak 2y ago

    Great example. Yeah, I fully agree that in general, the fastest way acquire a complex skill is to focus your practice on the particular components that are giving you the most trouble. That's the main theme behind deliberate practice:
13. 103.▲
    by JustinSkycak 2y ago

    My pleasure! I don't plan on writing any more math textbooks. I had fun writing them and I'm glad that they are making a positive impact, but since then I've been consumed by my work on Math Academy, which I find even more fu
14. 104.▲
    by JustinSkycak 2y ago

    No problem, glad it's helpful! Feel free to reach out anytime.
15. 105.▲
    by JustinSkycak 2y ago

    Totally agree. The key idea here is automaticity , the ability to execute low-level skills without having to devote conscious effort towards them. Automaticity frees up limited working memory to execute multiple lower-level skills in paral
16. 106.▲
    by JustinSkycak 2y ago

    It's common to find a little bit of linear algebra in a serious precalculus course, but nowhere near what's needed for ML. (For instance, I've never seen a precalculus course that covers eigenvectors, diagonalization, SVD, ps
17. 107.▲
    by JustinSkycak 2y ago

    Yeah, I fully agree that in general, we need to integrate explanations of "why is this task optimal for my learning" into the product. It's definitely on the roadmap, but it's a challenging because there's too much
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    Unanswered Questions about Spaced Interleaved Mathematics Practice [pdf](uweb.cas.usf.edu)

    3 points by JustinSkycak 2y ago|0 comments
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    The Expert Mind [pdf] (2006)(personal.utdallas.edu)

    185 points by JustinSkycak 2y ago|111 comments
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    Effective Learning Does Not Emulate the Professional Workplace(justinmath.com)

    4 points by JustinSkycak 2y ago|0 comments
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    Grade Skipping and Adult STEM Productivity in Mathematically Precocious Students [pdf](cdn.vanderbilt.edu)

    3 points by JustinSkycak 2y ago|0 comments
22. 112.▲
    by JustinSkycak 2y ago

    Not entirely sure I understand the question, but I'll answer to the best of my understanding: If you'd like to teach a course using one of my textbooks, then go ahead -- it's freely available online so that anyone who wants t
23. 113.▲
    by JustinSkycak 2y ago

    Not sure, but looking at the interface myself just now, it seems like it's always possible to see the latex of a math field by either 1) right-click > show math as > tex commands (which you can copy/paste), or 2) hover over
24. 114.▲
    by JustinSkycak 2y ago

    You can view lessons in "reference mode" -- to get there, just click on the old task and then on the name of the topic. You can also get there from the Table of Contents -- to get there, go to your dashboard (where your learning t
25. 115.▲
    by JustinSkycak 2y ago

    You may already be aware, but just in case there's some confusion, I want to clarify: if your intention is to get from high school math to cutting-edge ML/AI using the most direct / efficient / well-scaffolded path, then
26. 116.▲
    by JustinSkycak 2y ago

    That's Stage 1: Foundational Math -- with the addition of calculus-based probability/statistics, and the specification that it's the multivariable chain rule (not just the one in single-variable calculus), as well as diff
27. 117.▲
    by JustinSkycak 2y ago

    Love running into Math Academy students in the wild -- thanks for the kind words and I'm so happy that the system is working out for you! After all the work we've put into building this thing, it's the best feeling ever to he
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    Increasing Retention Without Increasing Study Time [pdf](files.eric.ed.gov)

    378 points by JustinSkycak 2y ago|131 comments
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    Accountability and Incentives Are Necessary but Absent in Education(justinmath.com)

    6 points by JustinSkycak 2y ago|1 comments
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    by JustinSkycak 2y ago

    Definitely. Also, lesser known, but his earlier book The Road To Excellence: The Acquisition of Expert Performance in the Arts and Sciences, Sports, and Games . The Road to Excellence reads almost like a book club among researchers who r