I am trying to find only journals or trustworthy magazines which can help math students to study math more efficiently and productively. I am not asking about books in this thread. In particular, I am interested in study skills or tips for math students.
I want to do better than Googling for at least 4 days, to find only these three helpful articles that I hope can illustrate what I am pursuing:
Similarly, experts are more likely to refer to multiple definitions within explanations rather than within questions or solutions – a sign, perhaps, of mature understanding in which an expert is able to, as expected “… link together large portions of knowledge into sequences of deductive argument” (Tall, 1991, p. 4)."
This seems to offer another way to approach new, recondite definitions.
"Intuition, insight, or instinct was seen by most of the 70 mathematicians ... as a necessary component for developing knowing. Yet none of them offered any comments on whether, and how, they themselves had had their intuitions nurtured as a part of their learning process."
I found this "tryingly helpful". Although I enjoyed reading that intuition is important, I am irked by the lack of advice or ideas on how to develop intuition.
"There is something in this story that is typical of a great deal of mathematical research....Indeed, you have to write down long formulas and justify every step. Yet, very often there is one key idea which, once understood, makes the rest of it purely routine. And if this one idea is not understood, the whole proof is meaningless..."
I wished that I had learned about ienstimate suggestions like this years ago. This extract also raises the question about why many textbooks do not identify or synopsise the critical idea(s) of a proof. Little space would be taken for increased productivity and reduced vexation.