One of the most amazing pieces of advice the Gemara is the way of learning fast [which is actually stated openly in the Gemara Shabat page 63. לעולם לגרס אנש אף על גב משכח ואף על גב דא ידע מאי קאמר שנאמר גרסה נפשי לתאווה כי תורך אהבתי "One should always learn fast, even though he forgets, and even though he does not even know what he saying"][And this is brought at length in the Musar book Ways of the Righteous.]]And this came in very helpful to me while I was in two great Litvak Yeshivot the Mir in NY and Shar Yahuv. Both emphasize in depth learning --which on one hand is great. But on the other hand I was not making much progress. The way is just to say the words in order and go on, and I found that this with trust in God that I would eventually understand did help me a lot. I know it does not take the place of the deep sort of learning of the Litvak Yeshivot, still this fact kind of learning did help me a lot and even came in useful when I went to the Polytechnic Institute of NYU. After all I had not been in Physics for a long time and had even forgotten high school math, so this way of learning did help me catch up.[ In fact even in high school I hardly did any math at all, So even just to get into the physics program in the first place I had a ton of work just to catch up.] and even now a few years later I still do this fast kind of learning.
Before I went to prepare, I did not even recall how to divide fractions. I did that fast sort of learning that and got through Trig and Calculus. When classes started, I was up to speed. But then I needed to the in depth sort of learning of the Litvak world that goes by the Gra. And so I still hold one needs some sessions to learn fast,, and other sessions for in depth.
