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The starkest example to me of breadth first vs depth first learning are math geniuses. They typically ignore everything except mathematics to begin with and the
by orbifold 6y ago
The starkest example to me of breadth first vs depth first learning are math geniuses. They typically ignore everything except mathematics to begin with and then hyper focus on a specific area of mathematics intensely. The most striking I know of is Peter Schulze who basically never attended an undergraduate class in mathematics and picked up Linear Algebra while he worked out the requirements to understand the Langlands Conjecture. He got awarded his bachelor by doing a 6 hour exam when he entered University.
- yeellow 6y ago> He got awarded his bachelor by doing a 6 hour exam when he entered University. I wanted to read more about that (I like such stories) but I couldn't find that story online. On Wikipedia it says that bachelor took him 3 semesters. Does anyone have the source?
- orbifold 6y agoI might misremember it slightly, I got told this by a professor (he was one of his examiners) and people that knew him at Bonn in ~2010. He could also have been awarded the majority of the credit points towards the Bachelor at entrance.
- orbifold 6y agoIt should be "Scholze" of course.