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I have fond memories of my calculus teacher being confused when she realized everybody had been made to memorize basic trig identities in the previous grade but
by spywaregorilla 3y ago
I have fond memories of my calculus teacher being confused when she realized everybody had been made to memorize basic trig identities in the previous grade but were never taught their very basic and intuitive relationship and derivation from the Pythagorean theorem.
A great shocked pikachu moment for the class to realize, collectively, that they were all being dumbasses in their empty understanding of things.
- brigadier132 3y ago> but were never taught their very basic and intuitive relationship and derivation from the Pythagorean theorem And how is this not just another fact to be memorized?
- kccqzy 3y agoWhen you memorize the right facts, you can derive the remaining facts using logical deduction. And that's basically introduction to proofs. Furthermore, your mental load will be lower. You don't remember as many things since you know you can derive them on the spot.
- spywaregorilla 3y agoIf you want to take that stance you'll need to provide an example of how one teaches an "understanding" of math without invoking memorization.
- brigadier132 3y agoMy stance is you can't teach an understanding without invoking memorization. That's my entire point.
- spywaregorilla 3y agoNobody is claiming otherwise. You're not understanding education about understanding.