I'd like to make learning math easier instead of memorizing formulas to solve problems. I feel like it the answer is in my grasp but I haven't figured it out. I need to learn up to calculus 2 form algebra 2 by next year, so I want to get some good habits in
>>33787618If you don't automatically remember exactly what your linear algebra TA said in class and exactly what the cute girl three rows away whispered to her friend at the same time, you're ngmi. The answer to every test question is metadata orbiting other more important things in your memory.
>>33787618https://math.stackexchange.com/questions/33656/whats-better-strategy-to-handle-tons-of-formulas-definitions/33987#33987Read this, and repent. Also do AOPS Introduction to Algebra. And don't forget to quit 4chan.
>>33787620Oops I do know algebra 2 (at least Im pretty sure,). It's pre calculus, calculus, and calculus 2. Sorry about that. And yes I cut down on 4chan alot.
>>33787621This is anedoctal, although Serge Lang made the same point, but often students who struggle with (proof-based) calculus are weak in algebra. People tend to look down on algebra, like they just assume 5 + x = 1 is algebra, or some routine step-by-step algorithm, and that's it. "I can't do the algebraic manipulation" is an excuse I hear often. It's not that straightforward to process what's given to you to get the delta epsilon proof, inequalities, etc. you need to solve the problem.
>>33787618AI tutor. Ask it to explain math use of through analogies/metaphors/similes/etc/mnemonics/etc
There is no point, trust me. Mathematics has a hard cutoff at 110 IQ (1 sigma) and a soft cutoff at 130 IQ (3 sigma). You arent going to understand anything below the hard cutoff, and you arent going to produce anything worthwhile below te soft cutoff.
>>33787624There is a point, trust me.
>>33787618I always liked figuring out how the formulas came to be, for those that didn't happen before the literal invention of writing there might even be a real story behind it. It's not a common mindset in STEM since it's unrealistic to do it for everything, but being able to create something is the ultimate form of understanding.