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Reflections on 1,000 Days of Math

57 pointsby 3d agogmays.com
25 comments
4h agoHN ↗

I am quite sure that learning math has nothing to do at all with investments doing well. Would be a classic example of having made money, but getting the reason for why wrong.

The markets have been uponly since 2020 in general, so no surprise if one were invested, especially in technology, that one would have done well.

1h agoHN ↗

Surprised they spent 1000 days on math and still don’t understand correlation is not causation

4h agoHN ↗

I remember your 500 days of math post! I'm curious if along the journey you took time to apply new concepts you learned in a larger project or lab? I've never used Math Academy, but does it just give articles/videos and then exercises? Congrats on the dedication, that's a lot of work especially with kids.

4h agoHN ↗

I have to shout out MathAcademy(the same platform the author is using). It's pretty darn good. I did like 2 hours a day for 90 days and went from Math Foundations I(70% completed) to Math Foundations III(74% completed). The pace of improvement was very fast.

1h agoHN ↗

I have not detected anything wrong with mathacademy, it does what it says on the tin. With that said, I stopped using it myself as I felt that my ability to "find the slope intercept form of blankety blank" did not actually translate to any deeper understanding of math than I had before.

I think mathacademy is excellent for developing the skills necessary for solving the problems on mathacademy (which largely are the problems on math exams).

But if your goal is understanding rather than application, then mathacademy is more similar to duolingo than it is to language immersion. You can go quite far in mathacademy (and much of performative mathematics) without really having thought about anything. It is procedure learning rather than understanding.

1h agoHN ↗

I'm sorry if this is a not a good question but as some one who never really had a good relationship with maths.

How do I get to a stage where I can just do math for the sake of understanding it.. to enjoy working on it.

I'm happy to "just do it" but is there some branch of match that might feel familiar and less removed from the real world?

1h agoHN ↗

Maybe the trick is taking the question and writing lecture notes / delivering the explanation as a teacher. Surely explaining it is much better than just solving the question and tap tap tap.

36m agoHN ↗

I disagree with this take though I've seen the same criticism online a lot before I signed up. I found myself understanding stuff the more I did it. And MathAcademy makes you do a lot of problems on repeat. I also used gpt for stuff MathAcademy didn't explain well.

But the platform does have its issues. I should probably do a writeup someday.

25m agoHN ↗

Isn't this more or less true of the whole undergraduate college calc syllabus? Like, I had the same thought grinding on trig integrals: "these problems seem super artificial", and I gather they basically are, and I guess closed-form solutions to arbitrary random integrals all sort of are? But that's not Math Academy's doing, or any kind of "teach to the test"; I went through these same problems with both my kids as they did STEM degrees at Illinois, and that's the actual material.

3h agoHN ↗

I like his vibe. I guess it helps that I've been doing MA as well, although not daily. I'll get back to it soon though.

2h agoHN ↗

Lost me when he said 'between now and when I started Math Academy my investments have done exceptionally well, to the extent that I became financially independent in my late 30s.'

Seems like a shill for Math Academy.

1h agoHN ↗

It reminds me of Newton. You know, the guy who “invented” calculus. He lost a fortune investing.

1h agoHN ↗

This is a recurring pattern. Einstein also lost a lot of money in bad investments. And we have the more recent example of Long-Term Capital Management debacle.

2h agoHN ↗

I'm sorry but I can't help but be critical. This seems more like an advertisement for a duolingo-for-math than a serious personal undertaking. I am not sure if this level of proficiency is something you want to boast of at the end of 1000 days of self-directed study, regardless of what level you started at. Do you think you'd be better or worse off with just doing two days a week with a personal tutor?

Also I am fairly certain that not taking a day off has hindered your progress rather than improved it. This is not a productive attitude and ritualizes the study instead of encouraging self-reflection.

2h agoHN ↗

Your criticism is poorly informed. Math Academy is definitely not a "Duolingo-for-Math". As a platform it's far from perfect, but as a program it's a serious and complete secondary school to undergraduate university math program, with excellent explanations, reinforced by well-thought out exercises. It's definitely competitive with the top-rated math textbooks in each of the areas it covers.

As for the OP "not taking a day off"... for some of us ritualization is productive because it's what we need to stick with a difficult program. Maybe for you that's not the case. To each his own.

(I have my own criticisms of Math Academy: The platform should be more flexible in pacing and allow repeating sections. It should have built-in spaced-repetition features. And the company is uncommunicative and aloof. I'd be willing to overlook most of these faults at a lower price-tag, but for what they charge it really rubs me the wrong way.)

19m agoHN ↗

My criticism is about OP's attempt at getting better at math. I have no knowledge of or concern for the Math Academy curriculum. But reading this post obviously did not give me a favorable impression of it.

1h agoHN ↗

In what country do you live that a personal tutora two days a week is financial compareable ?!

24m agoHN ↗

I wrote it on the assumption that it would be something that OP could reasonably pay for, a possible alternate path for someone who wanted to improve at math and was willing to make an effort, specifically less of an effort than what they seem to have ended up doing in terms of time-commitment. Considering how much they value their time it may have even been more cost effective.

43m agoHN ↗

Do you actually have any concrete issues with Math Academy, or do just want to bitch?

So tired of posts vaguely criticizing instead of naming any tangible problems.

33m agoHN ↗

Math Academy is not the main subject of this post. The main subject of this post is OP's attempt at getting better at math through 1000 days of self study, in which that site is an instrument. My criticism is about how his approach may have been ineffective and may not be an ideal guide for others. It is the said ineffectiveness that made me question if his attempt was genuine.

I hope this has been clear enough for you. Let me know if you need more.

2h agoHN ↗

I'm a bit lacking intellectually, and I wonder if learning more math would make me a more intellectual person.

1h agoHN ↗

Reading would probably help the most. Read some classics, don't worry too much about the plot beforehand, dive in. Gives a ton of new ways to look at the world.

28m agoHN ↗

I'm a broken record on how valuable I found Math Academy to be; 22,000 XP in roughly a year, going from high school trig (and a grim confrontation with my intuitive ability to work with fractions) through multivariable calculus.

The most important thing to understand about Math Academy is that it's all problems, problems over and over again, with just enough pedagogy to get you from one kind of problem to the next. It's a form of spaced-repetition system (often with the repetition cleverly arranged through interleaved topics, so that solving problems in the "next" unit also depends on techniques from the previous) and a drilling tool.

I'd echo any other observation about that structure being limiting for deeper understanding. The thing about that is, though, we already have ample resources for deeper understanding! For my part, GPT4 and GPT5 were more than enough supplementation, to drill into topics, connect them to other topics, ask "why the fuck does this work", etc.

When I got to Calc II (in Math Foundations III), Herbert Gross MIT lectures were super handy too. If you're doing Linear Algebra, I'd pair Math Academy with Strang's lectures.

To me, the limitations of the approach aren't interesting. The problem Math Academy is solving is the limiting reagent for self-study: boundless exercises and worked examples, a clear syllabus, and a forcing function for actually doing the problems. If you're self-studying math, you probably don't need extra structure to get you to read about math; you need the structure to get you to do math.

Easily the most valuable learning resource I've ever spent money on. Highly recommend.

22m agoHN ↗

I think the question to be asked about this post should be: "How many things can you solve by yourself outside the platform you are currently using?".

I have the feeling (though I could be wrong) that you might very well sort out the exercises and problems that are presented in the platform, but what about tackling for example Project Euler? How far can you go with the knowledge that you acquired from this platform after 3 years of daily usage?

Please note that I'm not trying to diminish the value of the mentioned platform but I believe that tackling problems that force you to hit your head on the wall and/or figuring out things by yourself with maybe some books, makes you learn in a completely different and richer way.

6m agoHN ↗

This is a view I strongly agree with. While the “worked example effect,” which is apparently a key part of the platform, does seem to accelerate learning compared with discovery based learning [0], I do not think the learning achieved by the regurgitation of another person’s ratiocination is nearly as useful or rich as learning acquired by discovery. In my view, the best way to fully and completely understand something is to come to it in your own mind.

[0]: https://en.wikipedia.org/wiki/Worked-example_effect