Re:How to Study Mathematics
by conjectures on Monday December 02, 2024 @04:58AM
(#42294679)
It's not quite like that.
Maths content is the ne plus ultra of conceptual.
It's totally possible to slog through a chapter of a maths text and feel like we got it. But it turns out our 'understanding' was a facade. We can't apply the concepts in a new situation. Exposing ourselves to feedback via problem sets reveals this.
Re:How to Study Mathematics
by funcDropShadow on Monday December 02, 2024 @07:01AM
(#42295339)
> Like how they learn biology.
How do they learn biology?
An lot of brute force memorizing details that everyone else would look up. Biology feeds to medical fields where you have to have details you rarely used memories because you might be doing surgery on someone who is slightly different from typical and have to figure out what that thing in the way is - can you safely move/remove it or not. (I'm not a doctor, real doctors can come up with plenty of much more likely real world examples of situations where you don't have time to look up some detail)
That strategy in my opinion is not optimal for humans.
What we need to do is develop math resources that can help students learn things analytically & conceptually.
Like how they learn biology.