Remix.run Logo
mtts 6 days ago

FWIW my experiences with MathAcademy roughly overlap OP’s: it’s really hard work and adult life seriously interferes with making speedy progress (notice their own success stories are with teenagers who can devote hours upon hours on racing through the - very good - curriculum).

They say 1 point is equivalent to 1 minute of work and that you should earn at least 45 points a day. Well, for me 1 point is nowhere near 1 minute of work: I’m sloppy and sometimes downright stupid so it’s 1,5 minutes at best and often much, much more.

Banging your head against a wall every day for more than an hour (sometimes much more) just to get to what they consider to be the minimum of 45 points is no fun, and probably even counterproductive. I managed to keep it up for four months and made reasonable progress during that time (on getting back to where I was at the end of High School, 30 years ago) but it also burnt me out. I’ve now scaled it back to 30 minutes (not points!) a day. As a result my progress is now glacial.

Also, they’re very much of the “just do lots of problems and you’ll learn mathematic concepts and principles by osmosis” school of math instruction. For me I had to buy a textbook to get some extra explanation.

The good thing is that the problems seem well thought out and the spaced repetition system definitely works (for me, anyway).

I’m going to keep it up, because I have enough disposable income to afford it (though it is much too expensive for what it is) and I really want to bring my math skills up to a level where I can follow along the math in ML papers (and also because math, it turns out, is kind of elegant and interesting). I could go the self-study route, but then I’d have to spend time and effort guiding myself and figuring out what it is I needed to work on. If nothing else, MathAcademy is good at taking care of this for you so you can focus on the math itself.

milvld 6 days ago | parent | next [-]

Any pointers on useful textbooks in this space? I seem to have difficulties finding one that is at the right level (not too easy, not too hard) or that provides a way to gauge your level and start accordingly at a later chapter or whatever.

mtts 6 days ago | parent | next [-]

Depends on what you need, I suppose. This resource is said to be pretty good: https://www.susanrigetti.com/math

I decided start with Calculus I on MathAcademy because that was the last thing I did in High School. MathAcademy disagreed and told me to do PreCalculus and even bits of Algebra II first, but I knew better (MathAcademy was right and in hindsight I should’ve just started the Foundation courses to build up my pretty weak algebra skills again).

For Calculus I simply use the textbook that’s recommended at the link above. As far as I can tell, it’s good. I don’t do the problems, though - for that I use MathAcademy.

spauldo 4 days ago | parent | next [-]

You lose math quickly if you don't use it.

I took college algebra three times - not because I failed, but because I had a couple multi-year breaks in my college career and didn't do much math during them. It was definitely worth it - each time I took the class I picked up on things I had missed previously.

If I went back for my master's, I'd probably take it again.

6 days ago | parent | prev [-]
[deleted]
chrisweekly 6 days ago | parent | prev | next [-]

Not a textbook, but https://betterexplained.com is an awesome resource for gaining intuition, its author's approach is very unlike others I've encountered.

cassepipe 6 days ago | parent | next [-]

https://betterexplained.com/articles/linear-algebra-guide/

This one really helped. Somehow realizing that matrixes are just equations with two or more unknowns was somehow mindblowing.

Noumenon72 6 days ago | parent | prev [-]

Just checking out a few of these will change your concept of what it means to understand something in math and cause you to seek out better explanations beyond the textbook one. You can also refresh yourself on a topic in a way that's fun.

agentcoops 6 days ago | parent | prev | next [-]

I'm biased, but very fond of the open-access introductory textbooks used where I studied. The department was very much pure maths, but the intro classes were accessible to general liberal arts students. I think the texts are relatively unique in that they're very proof oriented, yet with a pedagogical style that doesn't assume the reader is a future graduate student.

For calculus, three options to see if you like a particular author's style of explanation: http://people.reed.edu/~mayer/math111.html/math111.pdf - the most pedagogical http://people.reed.edu/~mayer/math111.html/math111.pdf - the most beautiful https://people.reed.edu/~jerry/111/calc.pdf - the most technical

For introduction to mathematical analysis and proof: http://people.reed.edu/~mayer/math112.html/math112.pdf

For multivariable calculus: https://www.stat.rice.edu/~dobelman/notes_papers/math/calcul... [1]

For linear algebra, we used the relatively standard Friedberg Insel and Spence [2], but I hear good things about https://hefferon.net/linearalgebra/.

[1] Link is off university domain, since apparently it was at some point turned into a bit more hardcore textbook oriented towards those going onto graduate studies in mathematics. If curious: https://www.amazon.com/Calculus-Analysis-Euclidean-Undergrad...

[2] https://www.amazon.com/Linear-Algebra-4th-Stephen-Friedberg/...

gsinclair 3 days ago | parent [-]

“The most pedagogical” and “the most beautiful” have the same link. I’d love to see the other one!

bsoles 6 days ago | parent | prev | next [-]

For proofs and introductory real analysis, I highly recommend Prof. Jay Cummings' books at the awesome price of about $20 on Amazon for freaking 400 page books. If anything, just buy it to support the guy.

MarcelOlsz 6 days ago | parent | prev [-]

I've been learning math from the ground up and I've gone to hell and back in terms of resources.

Art of Problem Solving is the best. I started with Prealgebra and it just flows. The best textbooks I have found.

stephen_cagle 6 days ago | parent | prev [-]

Yeah, I only have a goal of 25 points a day, Monday through Saturday, and I still usually take more than half an hour (though usually less than an hour) per day.

I actually feel that 25 points may be a bad choice as it makes me spend too much energy picking lessons that will barely add up to 25 so I can be done with my daily. Probably causes me to review or whatever when maybe I don't need to?