i dont think i ever managed to fill up an entire notebook in school ever
Filled up composition books but never actual notebooks before
This is definitely not how it's done in secondary education lol
It's a mathematical maturity thing. You're taught early on to view variables like "x" as something to factor out. This is more of a general case to develop the notion that any terms can be factored out. In the previous example you had (1/2)^x. You're supposed to be building up the intuition you already have for something like x/2 as something you can factor out, but more abstract
This is just the way math education works: learn a concept, then learn a more abstracted version of that concept, etc etc
Slept for an extra hour in hopes that my brain needed it
had to drop the class. im in a lower one now.
Why? I think you'd have been fine
nah i was fucked
i actually read the course description and the stuff that i had been learning on khan academy was the stuff from the math class a tier below
it was fun though
new course actually has lectures too instead of watching some Indian youtube guy talk
Yeah but I think you could've been fine. You were putting in the work and progressing. Struggling with concepts in math is completely normal.
i finished almost half of a math course in like 2 days, and then immediately skipped a huge part of material to try and learn stuff above that. thats not a good foundation
id rather build a good foundation and learn at a moderate pace than frenetically ctrl-f khan academy for the subjects i haven't understood yet, much less intuitively understood, to accomplish some aspect of a problem that i am going to forget as soon as the next subject comes
im working 35 hours a week and taking 14 credits i wouldnt have time for that anyways
i didnt realize how much this book helped me until the last few days though
https://artofproblemsolving.com/store/item/intro-number-theory
literally boosted my ability to solve things i didnt "know" by some enormous factor
There were several times I knew something intuitively and recognized I had no idea how I knew that was the correct way to think about the problem
Alright, that's a good reason
Side note if I studied for 8 hours per day id be a genius in like 2 years
I was very surprised at my ability to incorporate and build on the things I was learning. I felt like I did when I was a kid again. Probably because I actually felt I had no option but to actually look at my screen and exert effort or I would fail
I was completely losing track of time. I was trying to do a 10 minute break every 50 minutes, only to find myself looking at my timer and seeing 2 and a half hours had passed since I had looked.