Comment on I'm too stupid for this
marcos@lemmy.world 14 hours agoThe problem is that the eigenvector is the thing that satisfies the equation he showed you. That’s what it is.
Mathematics is full of completely unsatisfying answers, and only when apply it you get any meaningful idea why those things exist. But those are not their definition.
IrateAnteater@sh.itjust.works 13 hours ago
The problem I had is that taking one assortment of numbers that had no meaning, doing a bunch of operations on them (never actually finishing the operations though, because the last steps were “obvious”) leading to a different arrangement of numbers that also meant nothing, was not a good method of teaching. The pass/fail rate of that course relative to all the others reflected that. Every other teacher/professor I had before or since would include context when introducing an entirely new concept.
marcos@lemmy.world 13 hours ago
Yes, people teach mathematics wrong. It should start from application, and only then get formalized.
A large part of the problem is that we put people that study pure math deciding how to teach it.
Eq0@literature.cafe 13 hours ago
As someone both studying and teaching math: there should be two different ways to teach math - for other mathematicians and for non-mathematicians.
For mathematicians you want to use all the formal proofs and sharp definitions and so on. But we have so much fun teaching that way, we forget when we switch classes that engineers don’t like/care/are motivated to think the same way. We should pivot towards application-based, result-oriented teaching but we often just don’t. And students have to deal with it because the other class managed (pure mathematicians).
Someonelol@lemmy.dbzer0.com 10 hours ago
Yes this. Most math instructors teach like we’re math majors and are in it for the dirty abstract and “obvious” details that they forget most of us will never use it when working on machines or even some basic programming. Their insistence on teaching in their often inefficient way acts as a filter for so many otherwise promising engineers.
ftbd@feddit.org 10 hours ago
Yes, that’s exactly why many universities have classes like ‘maths for electrical engineering’
marcos@lemmy.world 9 hours ago
It’s not about not teaching the platonic definition.
The problem is that you don’t start at the platonic definition. Mathematicians don’t start there either, they start at a problem. The problem may even be a hole in some other platonic idea, but nothing is ever self-contained Platonism… except maybe for categories, but well, the problem it looks is how far pure Platonism can get you.
WolfLink@sh.itjust.works 4 hours ago
I had the opposite problem when I was learning linear algebra. The professor kept things at the most abstract and generic level, which made it hard to understand what was going on, because it felt like everything was “the thing is defined as the thing”. I don’t think it fully clicked for me until I took another class that involved some actual numerical applications of those ideas.