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Ask HN: How to self-learn math?

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121–130 of 215 posts

Re: Ask HN: How to self-learn math?

#121
Sign up for pre-calc class on edx.org it is free and offered through ASU. First you take the test to see where your knowledge stands then you learn based on that test.

They use ALEKS learning which is a great tool to learn online. Make sure to take notes and do the problems.

My advise don’t pay for math at community colleges because they use the same tools but you have to pay somewhere between 300 to 500 for courses which is waste money.

Re: Ask HN: How to self-learn math?

#122

>My current proficiency level is pre-high school mathematics as I didn't pay much attention in high school, learning effectively nothing. Advice from someone who was in the same position: Take a class. Multiple classes. Go sign up for a Mathematics AS at your nearest community college right now. You will never know enough of what you don't know to learn this stuff on your own. A lot of it is just doing the painful re…

Depends what your goal is. I cant imagine anything worse than High School style teaching of mathematics. Its awful. That repetitive calculation, entirely unnecessary for almost any real world situation. Almost every time you are doing repetitive calculation what you should have been taught was a second or third conceptualisation of whatever maths you are looking at. So linear algebra I was only ever taught numerically in computer science. WHICH IS CRIMINAL. It has such an obvious and more easily understood geometric interpretation. The same is true of calculus, learn it in physics. Seriously. Do high school physics /and/ maths if you wish to understand calculus. Otherwise you've got someone who probably did a pure maths degree teaching you something that was created by physicists for a reason, that reason has a physical and real world interpretation not to mention a geometric one. Another good example is in chemistry you might learn statistical mechanics, in computer science or electronic engineering you might learn information theory. If those two classes were taught back to back for both groups of people they would actually deeply understand the mathematics behind it. Personally I've always found learning maths in a pure way incredibly challenging. As an adult I think its a lot easier to learn maths through something that has physical or meaningful interpretation. You can then draw on your actual life experience to understand the maths.

Re: Ask HN: How to self-learn math?

#123
I started by working through some elementary math books meant for middle schoolers and high schoolers. Then took classes at community college and now learn on my own. At the initial stages, I needed a teacher and structure, especially with Calculus

Re: Ask HN: How to self-learn math?

#124
One thing I did not do while learning mathematics that I wish I had done:

When you learn something new, actively look for interesting problems that can be solved with it.

I mostly relied on the exercises (which are good to do), but since they were not problems I invented, I've forgotten most of the material. However, if you use mathematics to solve fun problems that you invent, you are more likely to remember it. And, to be honest, I suspect you also learn it better.

Most people take a problem and try to learn the math to solve it. I suggest inverting the process. Learn the math, and seek out problems solved by that math. Don't be afraid to make it an "overkill" solution. Even if the problem has a simple solution, use your fancy new tools to solve it.

Re: Ask HN: How to self-learn math?

#127

A lot of good resources here but does anyone have a place where I can find exercises for algebra and calculus? Even better if it were an android application.

https://brilliant.org/ has practise modules. Other than that I think https://www.khanacademy.org/ has practise sessions too.

Re: Ask HN: How to self-learn math?

#129

I’m going to go with a few assumptions here: a) You don’t do this full time. b) By “bottoms up” you just mean “with firm grasp on fundamentals”, not logic/set/category/type theory approach. c) You are skilled with programming/software in general. In a way, you’re ahead of math peers in that you don’t need to do a lot of problems by hand, and can develop intuition much faster through many software tools available. Eve…

>Another thing you have going for yourself is - you can basically skip high school math and jump right in for the good stuff. I'd strongly disagree with this. To the mathematically literate, concepts like "imaginary numbers", "prime numbers" and "logarithms" are just simply understood things which are familiar and have always been a part of your lexicon. These are actually wildly complex, abstract ideas which take ye…

I actually think I agree with everything you've said, but here's why I think it's moot - majority of visitors here have finished high school and I wouldn't be surprised that majority have at least started on tertiary education. Numbers are pretty high worldwide too. [1]

So, terms like "mathematically [i]literate", "adult with zero mathematical training", taken at face value, don't apply to most of us in the world, and almost certainly not to the OP either.

[1] https://ourworldindata.org/primary-and-secondary-education#c...

Re: Ask HN: How to self-learn math?

#130
post #56

Whenever I tried to self-learn anything, it was a very bad idea. Some parts of the subject I enjoyed and other parts I hated. I tend to make my own conclusions, which parts are useful and wich are a waste of time (so I tend to skip them). I tend to filter out the material this way, in order to make learning less painful and more fun. My conclusions (what is useful and what isn't) were always wrong and I ended up not…

This answer is absurd, and only true for people with little motivation. Self-learning does require more motivation and "grit" to keep going, and some planning early on, and there is a higher dropout rate. But in many cases, it is the best option. I've found that this is especially true for many parts of STEM fields. It is a far more productive and effective use of time to work through problems than listen to lectures…

That being said, there is something for the pressure cooker environment that forces you to consider and learn the hard topics. I have gone back to school twice as an adult, first for a pure math degree, and now for comp sci - machine learning. Both times, the amount of pain it takes is just not something a person with average or above average motivation would go through on their own.
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