Stop Learning Math Wrong

In this video I talk about learning math and the best ways to do it. Do you have any advice for people? If so, please leave a comment below.
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Thank you:)

[TreSwayy]

The thing I notice most with math is how, a lot of the time. If you take a break, for a day and come back. You literally can understand something easily that seemed impossible to understand just a day before. The brain seems to work with it in the background it, and get that “aha” moment

[wiggles]

There's a bit of structure to the video, so I summarized it somewhat:

1.) MAIN ONE: Don't use training wheels. Solve problems naked with just pencil, paper, and mind.

1a.) Question things. Ask why atomic statements are true.

2.) If you can't solve something, walk away from it for a bit. 10:40

3.) Get math problems thrown at you unexpectedly and solve them.

[dwchaosfan]

As someone who has some instruction experience now, I think the "people do better after doing this" operates under the assumption of "the assignments/exams are well-designed". I think a good future video topic would be how to design good math assignments at all levels :)

[katnisseverdeen]

I failed a test a week ago and got depressed. Watching this video was painful because you dropped a true hard to process to me. I don't practice too much because anxiety and fear of failing. Worse, even when I practice maths I check the notes and pdfs some much, I didn't realize that until you posted this. I love maths so much I even watched college classes about subjects I feel attracted for but I got no trust on myself. We gotta be willing to suffer, to sacrifice ourselves for a better future and our passions. Thank you so much man, you have no idea how much you've helped me with your videos, you got a slowly silly student thinking a lot with your words. From an argentinian enjoying your content in this part of the continent, keep it doing man.

[patrickbeam]

One thing I would add is that once you feel like you have mastery, try to explain it to someone else. Doesn't matter if they know math or not, if you _really_ understand it, you can give someone an intuition about even the wildest stuff. If you find that you can't convey the idea to your friend, spouse, kid, whoever--probably missing something yourself.

[jacobbaartz]

I would agree that independence can build up good problem solving skills, but as those skills are built up I would say collaboration is a great tool for problem solving.

[douglasstrother]

inculcate (verb): to implant by repeated statement or admonition; teach persistently and earnestly.

[ericcodina]

If youre imagining solving problems right before you fall asleep. You're on the right track.

[japethspeaketh]

In my case it's the opposite. I've learned that the wrong way to learn math is to be very stubborn when it comes to solving really hard problems. I was wasting a lot of time, like hours, being stuck at a hard problem because I was too stubborn to look for answer or ask for help. I believe it had to do with my ego being attached to how good I was in math. My ego got hurt when I couldn't able to solve a problem, despite learning the prerequisite theorems and all, because it signalled to me that I wasn't really good at math. I also refused to ask for help because I believed that asking for help would mean that someone is smarter than me in math (except for my professors).

Now I have come a long way after slowly detaching my ego and my self of identity from my innate mathematical talent. I had to learn that my worth as a human being doesn't come from being good at math. Well, there's a long story behind why I attached my worth with how good I was in math.

Another wrong way to study math, for me, is to waste a lot of time trying all the exercises from a section of a chapter. Well, I was told by my high school math teacher that "easy or hard, we should try out all the math problems with no discrimination". I took this philosophy at heart, until it failed to serve me when I was learning a lot of math and I had limited time on my hand. Now, I just attempt only a few easy ones, skip the ones that repeats itself and try out challenging problems.

Because I used this two wrong method to study math, I had to waste more than 8 months learning Algebra (Linear and Abstract), which could have been finish within less than 4 month. And I still had some chapters that I haven't covered.

[Russian-tksz]

This is officially my first day of my self-taught math journey, I'll go to the library and start with arithmetic and logic. Wish me luck.

[petersantospago]

Hey great call on the allyn Washington math text book....I picked one up and I'm blasting right through it... Everything is broken down and there's practice problems for each broken down thing... It's not overly rigorous and he's great at explaining things and then there's technical problems... Great book...I have others but his is simply simpler. I only do it for (s&g's) like other things chess and sodoku... But it's fun... Anyway ty math sorcerer...I can see that you make a great teacher. 👍

[Dureshahwar-jd]

I totally understand your point over here. My math teacher would always write a formula on the board (that's a story about studying trigonometry) and would not explain where it came from and by using which formula we can create another formula or proves which gets me stuck but I'm going to make sure to learn them prior to actually using them

[MrMegatherium]

Great advice. These days I am doing around 4 hours per day, working on the things I am not strong in. Why am I doing it? Even though I am not exactly a brilliant mathematician? I do it so I can improve my confidence, because when you start improving, and understanding things that you struggled with in the past, you can feel better about yourself. I am 45 and finished my undergrad in math at U of Calgary 20 years ago, but something told me to try to again! Math is important!!!

[rwgolobish]

Thank you. I use a flashcard app to review content. I have created several hundred math flashcards and the app randomly selects content for me to review. When I can't recall how to do something, I mark the flashcard for a little extra attention. I always have a few concepts and formulas to review each day. Because I am learning on my own, I often use books, videos, and AI programs to help me. The approach you have recommended of only using resources when I'm "stuck" will help me use my time wisely. Much appreciated.

[ClayLawrence]

I will add that part of the problem is the way math is taught. When it comes to everyday applied math they teach you how to work out real everyday problems long hand on paper when you should be able to do your shopping with the calculator on your shoulders. One example is discounts. The vast majority of people I encounter try to figure the amount of the discount and they deduct that to see what their price will be. I tell them all forget the discount. It just creates an unnecessary step. If the discount is 40% then your price is 60% of the full price so ignore the 40% and just figure the 60%.

[anniesizemore]

I'm studying art & math 😁.Both are creative. Doing division of polynomials in a Robert Blitzer college algebra book finally got me to understand where to place the decimal in ordinary long division of decimals. Could do most algebra. Could do simple calculus, but had trouble with where to place the decimal in division of decimals.,

[abx_egamer]

I love this video. Just pure MATH, difinetly helps in the future

[Sam-yzvm]

Extremely helpful, it does need courage to go again over a problem where you struggled or failed :-) but the reward is worth it

[borisdorofeev]

It's taken me years to understand that frustration and struggle is the currency you pay for knowledge.
Nothing is free.

[tgkmervin]

Step 1: Understand
Step 2: Memorise
Step 3: Practice