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Tyler Marghetis on Breakdowns & Breakthroughs: Critical Transitions in Jazz & Mathematics
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How Do Different People Solve Different Problems?
The patterns that we saw weren't necessarily individual differences between people, but more so different patterns that we would find within the same problem solving session. So a single person might produce a whole cluster of notations that were all tightly interlinked and move fluidly from one to the next. And that very same person might also produce these loops of inscription where there was, you know, a natural order that they would travel through. i think that's a nice quantitative demonstration that the way that we teach kids to do proofs in school isn't how mathematicians actually do math rite. But it's nice to see that parallelism, if not like a strict isomorphism, between how people are setting
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