​The Bar For Joining the Technical Workforce is Skyrocketing​
​~150 words • ... and the bar for graduating school/college is cratering

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​Math Trauma Isn’t Really About Math​
​~100 words • Math trauma tends to be less about math and more about being asked to do advanced maneuvers before you've mastered the basics -- and then being told to try harder when you inevitably fall.

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​Optimize Actions, Not Plans​
​~100 words • Optimization is best spent on actions, not plans. Take action and then optimize the next rep. No plan survives contact with reality, so there's no point layering optimizations on scenarios that may not play out.

​Watch on YouTube or Listen on Spotify​

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[2:10] My background: growing up in a non-technical family and finding math on my own.
[5:45] Self-studying 3,000 hours of college math in high school: starting with calculus the summer after 10th grade and continuing through undergraduate-level math for the rest of high school.
[16:10] Whether the same ground could have been covered more efficiently -- and how being responsible for other people's learning eventually crystallized the underlying principles.
[29:55] How having math foundations in place paid off in research: getting into Fermilab and CERN research projects at university labs.
[43:10] What the Math Academy learning system looks like: adaptive diagnostic, custom knowledge graph, minimum effective doses of instruction followed immediately by problem-solving, mastery before advancing.
[47:34] How we built the knowledge graph: years of manual work by domain experts, refined with analytics for nearly a decade.
[1:10:46] How the FIRE (Fractional Implicit REpetition) algorithm works: solving a harder problem implicitly reviews the sub-skills it encompasses, compressing the review pile significantly.
[1:35:50] Math and sport. Cognitive science principles -- mastery before advancing, spaced practice, interleaving -- are often easier to see in sport than in math.
[1:42:00] Does doing math well require different skills than teaching it well?
[1:56:25] Automaticity as a prerequisite for deeper understanding.
[2:05:35] The anatomy of "aha" moments.
[2:14:11] Learning math as an adult: the amount of work doesn't change, only your free time does. Math Academy's Mathematical Foundations sequence covers the prerequisite stack for university math in roughly 15,000 minutes.
[2:24:10] Balancing fundamentals and exploration: exploration pays off most at the frontier of a subject.
[2:33:55] Is it ever too late?
[2:46:00] Bottom-up versus top-down learning.
[2:56:30] Students with ADHD often feel the effects of inefficient pedagogy more strongly. Interleaving minimum effective doses of guided instruction and active problem-solving is better for everyone.
[3:06:20] AI tools as a multiplier on existing ability: the more you know, the more useful they are; the less you know, the harder it is to detect when they've gone wrong.
[3:14:37] What I'm most focused on right now: taking Math Academy from workshop to factory -- producing courses at scale without sacrificing quality.