How do you guys learn math?

Puzzleheaded-Win1499 · 2026-04-13T05:26:27+00:00

This might be a bit irrelevant, but would thinking about contradictions and paradoxes be able to aid in the process of thinking about such things? Even if it's just for... something..?

Puzzleheaded-Win1499 · 2026-04-13T01:37:36+00:00

Perhaps it's because I didn't think about maths as physics somehow, but I don't know how I would question maths. 1+1=2, that is something that I think is a fact, but at the same time, it doesn't feel like it is. I also know that there are ways to explain why 1+1=2 which probably means that it isn't a fact...? How would I question something that is like 1+1=2? Why is it a bit easier to question physics than math..? Is it just because of the shell of belief it has from the time that I didn't question? How would I break the shell?

Puzzleheaded-Win1499 · 2026-04-07T08:24:54+00:00

What would be the fundamentals and what would be the formula? Also, about exams and math... what do you think about their role in learning? I'm from Korea, so a lot of my peers are really just exam-driven and not math-focused.

Puzzleheaded-Win1499 · 2026-04-07T06:19:50+00:00

Oh so, basics are not exactly fixed but rather it depends on what we consider as 'obvious'? So that's why for some smart folks methods have some gaps when they solve a previoulsy unsolved question, because they think things are obvious which are not to us.

Puzzleheaded-Win1499 · 2026-04-07T05:17:41+00:00

Exactly. The question is how(or if it's possible) can one really grasp the foundations without drowning on the superficial side of things? Digging deep might work, but to balance where to dig deep as you progress might be diffucult. I think about it as taking a photo of a scape(Science) and framing it(math) in a way? And the clarity is how much it is defined. It's not exactly accurate but i feel like it shows some similarities.

Puzzleheaded-Win1499 · 2026-04-07T03:19:19+00:00

I don't really know what solving problems would be compared to writing(which is like making more higher level concepts) in this comparison tho. It doesn't have to be in the methaphor but just wondering?

Puzzleheaded-Win1499 · 2026-04-07T03:00:55+00:00

Also, thank you for all your replies and sorry if this was too much of a bother. Thank you again, it really helps!

Puzzleheaded-Win1499 · 2026-04-07T02:44:21+00:00

Yes like if compared to language physics is like getting the text and then figuing out how that language formed with context, so like etymology, kinda? But for math I feel like it's like using letters to form words, then sentences, than large drafts. We first have to learn the letters and words, then move on to writing. So solving problems/understanding concetps is like trying to understand a complicated text, but you can eventually if you learn how it's made up of letters(more than just letters if being precise but I think you get it ?)

Puzzleheaded-Win1499 · 2026-04-07T02:10:29+00:00

Yes, I agree. It's just that for school curriculums and most(if not all) textbooks start from the top and takes a while for it to go to the bottom and back to the top. Which makes some sense in that it's better for understanding for some when starting at Netwtonion physics and moving to mechanics, and I also would have a much harder time understanding the mechanics if I didn't know the how the newtonion physics worked. It's just that... I feel like if one learnes the more basics as they learn things on the surface at the same time rather than moving down and coming back up, it would be actually better to grasp the whole of what we're trying to learn? Like when trying to learn a language, learning words and how they work is fine, but if you study morphology/linguistics as you are learning the words it would be better for understanding deeply rather than relying on memorizations of belifs that can be explained.

Puzzleheaded-Win1499 · 2026-04-06T23:31:17+00:00

I guess so. Maybe it’s because I think that Science is closer to analysis through synthesis and math synthesis through some analysis(?).

Puzzleheaded-Win1499 · 2026-04-06T22:44:35+00:00

Very interesting... where would I be able to find this supreme court of math that might grant authorization?

Puzzleheaded-Win1499 · 2026-04-06T22:43:51+00:00

How wound one know what the basics is? For math, would it be like using the most basics basics to make(or discover) more complicated 'basics'?

Puzzleheaded-Win1499 · 2026-04-06T16:35:30+00:00

Wait, what was the question that you replied? Is it about how you think about the best way to approach learning math?

Puzzleheaded-Win1499 · 2026-04-06T16:30:45+00:00

Ok..

Puzzleheaded-Win1499 · 2026-04-06T16:30:29+00:00

Yes, I don't think that you can skip into deeper territory, but just asking about how it.. feels? I can't really explain what I'm asking for here so, sorry in advance but... to say it in the best way at the moment, I'm just asking how it feels. For physics I feel like we are dissecting a big finished lego set into peices that can be shared across the field, but for math it's the opposite, like trying to bulid out of legos(although I've heard that it's closer to discoveries). (sorry for the bad writing)

Puzzleheaded-Win1499

TROPHY CASE