If you’re planning to study/teach math anyway, I’ve found that framing exercises are a really good 80⁄20 at getting people able to use mathematical concepts. However, it takes a fair bit of work to create a good framing exercise. So if you could create a bunch of those, I expect they’d be a fairly powerful tool for creating more competent researchers.
(Also, I have a post with a big list of useful-for-alignment math, almost all of which would benefit from lots of framing exercises.)
Read it, that study guide is really good, really motivates me to branch out since I’ve definitely overfocused on depth before and not done enough applications/”generalizing”
This also reminds me of Miyamoto Musashi’s 3rd principle: Become acquainted with every art
If you’re planning to study/teach math anyway, I’ve found that framing exercises are a really good 80⁄20 at getting people able to use mathematical concepts. However, it takes a fair bit of work to create a good framing exercise. So if you could create a bunch of those, I expect they’d be a fairly powerful tool for creating more competent researchers.
(Also, I have a post with a big list of useful-for-alignment math, almost all of which would benefit from lots of framing exercises.)
Thanks! I will definitely read those!
Read it, that study guide is really good, really motivates me to branch out since I’ve definitely overfocused on depth before and not done enough applications/”generalizing”
This also reminds me of Miyamoto Musashi’s 3rd principle: Become acquainted with every art