This is why I try to focus on books with exercises and force myself to finish all the exercises - "Thinking in C++" (volumes 1 and 2) was especially good for this. If nothing else, typing in examples helps. Also, try slowing down and forcing yourself to think of better/alternate ways to do something. Just having read the docs, your mind will be more open to using different options, and by forcing yourself to do it differently (even if you have to look it up again), will help to reinforce.
"Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?"
Excellent advice. Also, "try to explain to someone else what you know". That way you'll very quickly find out what you don't know from what you do know.
Comments
This is why I try to focus on books with exercises and force myself to finish all the exercises - "Thinking in C++" (volumes 1 and 2) was especially good for this. If nothing else, typing in examples helps. Also, try slowing down and forcing yourself to think of better/alternate ways to do something. Just having read the docs, your mind will be more open to using different options, and by forcing yourself to do it differently (even if you have to look it up again), will help to reinforce.
"Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?"
Excellent advice. Also, "try to explain to someone else what you know". That way you'll very quickly find out what you don't know from what you do know.