The reframe: approach math not as a class to pass but as a machine to understand inside out. This shifts the goal from grade-optimized behavior (memorize, perform, forget) to structure-optimized behavior (foundations first, understand why, iterate). Seven principles: start with foundations → understand why (not how) → build intuition through problems → explore proofs → connect cross-domain → revisit iteratively → teach to yourself. **The key asymmetry**: "Self-study is slow, but mastery is permanent." ## Cross-Domain Applications **Software engineering**: Understanding a system's internals (not just its API) produces robust engineers. Same machine metaphor; same depth imperative. **Any expertise acquisition**: The iteration principle — depth grows on 2nd and 3rd passes, not the first — applies across domains that have compressed structure (music theory, chess, language). **Teaching as learning**: Feynman Technique is the self-teaching principle made explicit: explain until gaps surface, return to source, re-explain. ## References - Mustafa (@oprydai), April 6, 2026. [Source](https://x.com/oprydai/status/2041035009365307870)