Why do normies tend to struggle with Calculus?Some of these normies were decent with algebra and trigonometry in high school but once in college, utterly fail their Calculus classes.
>>16389525SimbologyIt depends on to many unique symbols is not using basic math like geometry for example
>>16389525Literally who struggles with calculus? In my AP calculus class in high school every single person got at least a 4 or 5 on the exam, in fact if I remember correctly it was all 5’s. The calculus that is taught in high school and normie college classes is literally just the same algebra they’ve been doing except with two new linear operators. If someone fails a calculus class it must be because they didn’t do any of the homework and didn’t pay attention in class.
>>16389562Some people really are just inept at a base levelt. speaking from experience
>>16389525There are two reasons.One reason is simply that they forgot their algebra/trigonometry foundations and having to use them with a new unfamiliar concept throws them off.Another reason is the fact highschool does not prepare people for university very well.Highschool encourages lower order learning methods on Bloom's taxonomy that rely on rote memorization of isolated things and isolated none-interleaved rote practice. It doesn't teach you to learn in a higher order way.Calculus is actually easier than algebra and trigonometry because it typically requires less memorization and more conceptual understanding. It's easy to understand Calculus once you relate these concepts to the physics they were designed to solve and notice common patterns you can apply. But most normies are bad at conceptual understanding, or don't even attempt it. They just want to memorize formulas and problem-solving procedures as they were taught in highschool. Beating formulas and procedures into your head by obsessively rote memorizing and rote practicing works in highschool but fails in college or with any more complex topic really where the big picture and relationships become more important.Calculus is easier for autists and people with ADHD because they are the contrary. They thrive in relationships, conceptualization and patterns. I can especially speak for retards with ADHD, for myself. I hate memorizing boring isolated things without understanding how it relates or why it's important. I hate doing long, tedious operations unless it's in a clear problem solving context and will rush through them leading to accidental inattentive mistakes made worse by my poor working memory. But I am curious and seeing how Calculus so immediately applies to real physical phenomenon interested me immediately. It quickly becomes intuitive. Unfamiliar symbols didn't throw me off if anything it stimulated my curiosity.
>>16389568This is true>t. 100 FSIQ anti memer possibly 91
>>16389525it took the greatest minds of humanity centuries to develop. it's not a trivial subject just because it's the starting point of higher math.
Because people who get forced to do calculus didn't pay attention in school and don't know the complete basics like how to make x the subject of an equation or solve a polynomial
I'm gonna fail statistics because I won't do the assignment. (Maybe.)
>>16389572if kids were taught a kiddy programming language like python before the "harder" high school math and taught it with coding rather than pen,paper and calculator they'd learn it a lot more effectively.The problem most kids have is conceptualising it which is why they struggle when they try to wrote learn it.
Because calculus is taught wrongly in a purely analytical way first instead of starting with numerical solutions first.Analytical solutions and proofs should come after the student is comfortable with what is happening numerically.
>>16389525>Some of these normies were decent with algebra and trigonometry in high school but once in college, utterly fail their Calculus classes.I've never noticed this, but to be fair I took Calculus I in high school. If it's true, my first guess would be that it's a lot easier to party hard in college than in algebra, so someone who got a B with sober effort in high school would struggle without adult supervision and easy access to alcohol, drugs, and sex every night of the week.
>>16389525I believe there to be a critical point (in any subject) at which everything else becomes easier to understand. Not necessarily prerequisite knowledge as you can fill the gaps as you move along in the topic which encompasses the other, but still similar in a sense. Meeting this critical point does not mean that one's proficiency of the subject will solely increase, as one tends to forget what has previously been learned (through simply rote memorization or familiarity through frequency) unless it is practiced. Let's be real, no one practices much of anything over the Summer--no one except us cool guys amirite? B) I can only speak regarding the public education system in the states, but I feel like this critical period is not being met, and is not required to be met; it will not be met without individual efforts to do so. >tl;dr Students fucked up their Maths foundation by not paying attention all the way back in primary.>>16390812>Because calculus is taught wronglyCouldn't agree more. I can't speak for non-STEM majors, but for those majoring in the hard sciences it's straight to proofs. None of that niggerlicious calculation, it's straight to Set Theory and proofs for you.
I struggle to understand things like how do you prove the power rule of derivatives
>>16389525I was exactly the opposite. I failed algebra in high school the first time and kicked ass all the way through calc into diffeq in college.Mind you I had crippling undiagnosed ADHD all through high school which probably didn't help.Any case I think it has a lot to do with how you conceptualize math. If you're the kind of person who works purely symbolically then you can go waaay out into the rhubarb trying to make calculus make sense in that framework. If you're able to work with it in terms of structures and spaces then the whole concept of limits and most of the early proofs you really need to understand make much more sense.
>>16391012>Couldn't agree more. I can't speak for non-STEM majors, but for those majoring in the hard sciences it's straight to proofs. None of that niggerlicious calculation, it's straight to Set Theory and proofs for you.None of it makes sense. Historically Set Theory became a thing when Lebesgue worked out his integration theory. IIRC Cauchy was already teaching analysis almost a century before that. Anyway, as you can see, proofs came last. By the time analysis became what it is today, mathematicians and physicists were already solving extremely sophisticated problems without muh rigor mortis. If I were to teach calculus, I'd just do infinitesimal approach which is how it was done until modern math took over.
>>16391575I struck out and enrolled in a course which integrates muh proofs into the curriculum without knowing. It's a Calc II course that takes a rigorous approach to the curriculum--at least with respect to doing everything properly; the professor want's us to emulate how real Maths is done by real Mathematicians. If I've gotta deal with this bullshit, then so does everyone else. I understand it'd do me some good considering what I'm studying; I should quit my bitching, but still, suffering is better with company. What's the difference between the infinitesimal approach and the way it's usually taught in college? I only read the first few pages of Keisler's book and then decided to play Fortnite. On an entirely unrelated note, where the fuck are all the bitches at? All my classes are full of niggas. How the fuck's a nigga supposed to stay motivated and pay attention in class if he's gotta stay in a room full of niggas for ~2 hours? In my previous courses I'd do something like picrel when a female classmate of mine would ask for help. I'd pick a seat surrounded by girls and form a pseudo harem. We need more women in STEM. I knew I should've majored in Psychology or Business/Communication...
>>16391691https://intellectualmathematics.com/dl/calculus.pdf
>>16391759Lole what is this? This looks like the schizo notes-like manuscript my professor is having us peer review before publishing his textbook. This shit looks like a reference book rather than a proper introduction to topic. I know it's best to keep things concise, but this just looks like a study guide.
Because calculus is nonsensrWhat if we made my peenus weenus smaller haha? what if we made it even smaller?? haha what if for every peenus weenus there is a weenus peenus that is even smaller hahaha? what if for every peenus weenus there is a peenus weenus such that when the peenus weenus is smaller the peenus weenus is smaller than the pinnus binnus :DDDDD
>>16389525The problem is that most college teachers don’t actually have training in teaching. They understand their topic but are shit at explaining it
