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How to choose a textbook that is optimal for oneself?
I am currently using the Russian textbook Mathematical Analysis by Zorich. But the more I use it, the more I feel it is making problems too hard or too advanced for the subject and it is unnecessar...
It's true that many highly skilled professionals spend a lot of time solving open-ended problems, and in the process, discovering new knowledge as opposed to obtaining it through direct instruction. Basically, it seems like there's a mountain of circumstantial empirical evidence (in both talent development & cognitive science research) suggesting that the superiority of deliberate practice would carry over to the setting of advanced mathematics. (Note: Even after learning metacognitive techniques for thinking critically about definitions and theorems, she still required me to create deliberate practice problems for her by targeting weaknesses and selecting specific objects / scenarios to highlight key features & scaffold from easy to hard difficulty.
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