reenmachine
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RJinkies said:reenmachine - I tried to self-teach but I find it very difficult to learn math randomly , you always get stuck on...
Well what things have you been trying to learn, or maybe what textbook or math puzzle book are you attempting?
There are a lot of people who hit the getting stuck roadblock, and it's quite natural, but with almost anything in math and physics, with a bit more patience and simply spending more time on something, and going back regularly, even if 10-30 min a week, you can snap out of it.
Sometimes it takes weeks, sometimes years but if your interest is there, you'll self-study one day. Just knowing a little piece well, and being interested enough to come back to the book for 30 minutes at a time, and then browsing again, every week for another 30 minutes, you can kickstart the habit
a. where you'll get a better grasp of ideas and concepts from just random browsing and getting the 'gist of things' far more than you might realize
b. actually saying, maybe i'll start on this book properly, at the beginning and go for being slow and complete, but trying extra hard to being consistent with your reading or pondering of examples, and realizing that you don't need to get far. Be patient, spend more time with things.A lot of hurdles with self-studying math can just be something so simple as not realizing that you needed to spend three times as long reading that article/chapter fragment. that 14 minutes didnt work, but 71 minutes unlocked some secrets...
im still kicking myself for not reading sherman stein's calculus book in the house, when i was still struggling with algebra. I got frustrated with the book that some chapters were crystal clear and a few just seemed 'unclear' to me. I gave up.
Also i didnt realize how important it was to just try out what the author *really* intended.
If he wrote 36 pages for chapter one, why not read *all* 36 pages?
Why not read it slowly enough to give the author a 'decent' chance?
Maybe his examples are extremely extremely useful, figure those out *deeply*
Hey, why did the author plop 64 questions at the end? Gee that's a lot! Wait a minute, what happens if i did all 64 of them?
That's the sort of thing that broke things for me with self-study.
Don't fall into the trap that the school system teaches you, the bad habit that it always needs to be a race. Make one chapter of that textbook, your life. Forget about the whole book. Drop the idea that you need to rush through the book and skim through 70% of it, sure a lot of teachers do that to cram things into 12 weeks or 15 weeks ,but why should you?
Make sure you got math books that are slightly easy to read, and some that actually do challenge you too. One day some subjects will be eye-opening if you can read one math book, and then slowly, use 2 more textbooks to read together...
So you're seeing some ideas open up in three different ways, and see how each explanation is unique...
What's murky in one book, can be clearer in another book.
but real accomplishment is when you can read all three chapters in all three books, and they all start to help each other, rather than feel like three different universes, all frustratingly different and confusing.If you are fascinated with something, don't let friends or teachers get you down. You might be interested in something, but who says that you got to be an expert from day one with it?And who says that self-study isn't so hot when you do it randomly...
If you got a book, you start at the beginning. There's nothing random at all about taking an extremely small sliver of it and trying to learn it well. Take small bites, take a lot time to chew, eat regularly...
I wrote a super long answer but it got erased as soon as I clicked on send. :(
Thanks for answering me btw , lot of good advices in your post.
I'll make a longer one later but for the moment:
I currently have no math book because I'm scared of getting a book I won't understand due to lack of math background.What I do in the meantime to keep my brain from getting rusty is doing some math puzzles I find on the internet here and there.Sometimes I can't solve them and this is where I try to learn new concepts to help me solve these problems , but organizing what I need to learn and where to learn it is very hard.This is why I might just be better off going back to school.
I destroyed my high school math programs back in the days with a 98.5% average out of about 36 exams.Unfortunately calculus (or at least Calcul Infinitésimal in french , which I think is calculus) wasn't part of it.This is my next target , any suggestions to self-teach calculus?
One thing about my high school math years is that while I scored very high , I don't feel like the program was in my favor because it was too easy for the other students to score somewhat high (like 85-90%).To make an analogy a lot of students knew a single path to get to the answer while I knew the entire map.I was known as a very creative math student.I always tried to understand the concepts in depth , not just mesmorizing the formulas and technics.If they would have put two trickier/tougher questions at the end of every exam which would count for at least 10% the standard would have been fairer to people who make the effort to understand the entire map instead of mesmorizing a single path , a path that ideally wouldn't be enough to answer those two hypothetical trickier/tougher problems I'm talking about.
One thing I'm scared of right now is if I go back to undergraduate they'll force me to at least a year of ''general studies'' where math isn't the only focus.This would be a major waste of time for someone my age trying to contribute to math in the long run.I don't know all the details yet of what is expected of me before entering a math program but I have a meeting with a math department person next month and we shall see.If I have to take some french classes or social sciences classes for a year it'll be very frustrating in my situation.
Another thing about self-teaching , 3 years ago I didn't speak a word of english , I learned it by myself discussing on message boards so I've seen the possible success self-teaching can bring.
Sorry for the short reply , can't believe my long one got deleted :X
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