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how long should you take notes for in math?

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Everyone studies differently, do what works for you? Kind of a non-answer, though.

Personally, I've almost never reviewed my notes for a math class in my life. If I need to study, I just do a few more practice problems and read solutions.
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I read notes until I think I understand and then I practice problems until I know I understand.
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This changes for everyone. I liked to do some practice problems with my notes available and then go over my notes afterwards. This way I can highlight the things that surprised me or are important/useful in light of the recent problems that I did. For some people this will probably be excessive or just not productive though. So it all depends on you.
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I do flash cards for definitions and theorems. Once i really worked through a proof, not just copied it from the board cause for more complex ones that is not enough time for me, i usually remember at least the general ideas maybe not the details.

For "applications" just Problems or small corollaries.
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Take terse notes of questions you have? Or in the moment thoughts you have when being lectured at? Anything confuse you? Surprised you? You think of a possible relation to an other area of math?
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personally, i stopped taking notes in my senior year of college (BS in math and BS in chem). i found it was much better to pay full attention and if i needed, study the material from whatever resource/textbook. usually this was while doing homework. i also approached grad school (organic chem) this way and finished my coursework with a 3.5 GPA while being an RA in the lab 50-60 hours. do what works best for you but you might have to do some trial-and-error (hopefully not too perilous) and figure that out.
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Honestly for me I find that if I take notes I don’t actually grasp any of the lecture information being presented. So I only really “take notes” when I’m doing hw and I write down my answers. If I ever need to reference a previous chapter or concept I either reread said chapter or look back at the problems I wrote and go though the logical process I used.
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Until the end of the lecture
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Notes are generally important information that you need to remember to apply to problems or may aid in the construction of a solution. In general, you should do what is necessary to be able to solve the problem and that usually means remembering information. So basically, as much as you need to.

You also may not need notes.

Basically, if you can't solve a problem then you're likely missing information and notes may help. It also helps to write it in your own words, it doesn't necessarily have to be a pure logical form. The most important thing is being able to apply the information and notes can help with that.
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After I started using zettelkasten and org-roam, I write down every note in the system once and for all, and I'm done. So I get both an understanding of the concepts and a reference for the future.

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