/sci/ - Science & Math

>>7115293
>they want you to memorize proofs
Now I understand how a product of modern corporate education actually thinks.
They have been taught that way since birth so they try to memorize everything, even goddamn technical proofs.
>NEVER read the book
>practically every course A+
It's like the city that tries to eradicate rats by putting bounties on rats, only to have people raise more rats. You might think you've beaten "the man", like most "clever" high school students. But it is simply that the education system has failed to incentivize understanding.

Maths is the language you use to work with scientists. Maths, like English, can be crammed for short bursts (see Chinese students that ace the SAT/GRE without even being able to hold an actual conversation in English). However, eventually the time you saved will be the time you lose trying to relearn the things you forget (assuming the things you learned matter).

It is an absolutely monstrous task trying to remember 30,000 advanced words in English, or keeping in your head all the fundamentals of complex analysis, functional analysis, Sobolev inequalities, Fourier analysis, differential geometry.... Just like London taxi drivers, you can't try to remember every house address. Human brains are not hard disks.There is only ever one way to learn the streets of London: to actually walk through them; to learn English: to actually read novels, listen and converse; to learn Maths: to walk through the whole logical chain of interdependence when you try to prove or solve something by yourself. Our neurons learn best through, you guess it, forming connections and association (see Method of loci for abusing it).

Nobody but Hilbert is going to wake up being able to prove Nullstellensatz without assistance or experience. But with each little step you brave forward yourself, the assistance you require becomes less and less. And that is the raw feeling of joy and progress which studying maths should bestow upon students.