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I learned it the hard way, as I hit a wall when taking a course on abstract algebra, that the only path to truly understanding college-level math is building so
by hintymad 6y ago
I learned it the hard way, as I hit a wall when taking a course on abstract algebra, that the only path to truly understanding college-level math is building solid intuition. Otherwise, the sheer number of definitions and theorems will just be overwhelming. Of course, intuition is as critical for pre-college math. It's just that we somehow get the intuition naturally probably because we get to experience all kinds of examples on a daily basis to hone our intuition unconsciously.
- Koshkin 6y agoAt some deep level, a key to understanding abstract-algebraic objects is to think about them geometrically. L'algèbre n’est qu’une géométrie écrite, la géométrie n'est qu'une algèbre figurée. — Sophie Germain