- Only highly self motivated learners can learn from a book. Most students needed lecture and office hours.
- Students (Humans) aren't going to struggle on average. They're always going to take the path of least resistance. I know of some successful algebraic geometers who did indeed hit their head on heartshorne in grad school.
- a) Structured content generated on long scales is way more effective because you can tie together many details. It would be weird to learn from chapters, each unrelated to each other in style and content.
- b) We're actually not short on students getting help. Office hours were abound at my university. I actually found that customized help was detrimental; if a TA answered every question a student had, the student wouldn't put the effort into trying to learn the material. Imo you want to see students struggle. I've seen students go from F to A- by just forcing them to struggle on the content.
- Not really. I discuss complicated math and programming with models regularly and when I say something like "actually you're wrong" they say "yes, you're right". If I ask them to be confident, they will not change their wrong answers. Humans have a much better conception of self and opinions than LLMs