I have written a little about Reb Shmuel Berenbaum in some essay long ago. But just to recount in short a little of my experiences at the Mir in Brooklyn. The Mir was one of the Ivy league in those days. [Other people like Reb Moshe Feinstein were more into halacha [Jewish law].
One of the best books to come out of the Mir is the Sukkat David which was simply the classes [shiurim] of the first level class in the Mir --for first year students. Yet it is a great book and in fact even in Israel when people what to learn a little about how to learn they go to the Sukkat David.
My first year there I finished up tractate Yevamot which I had started in Far Rockaway. The thing is that for some strange reason I think my own learning fell at the Mir. I may have learned longer hours--but the intensity of learning for me was lacking. While at Shar Yashuv (in Far Rockaway) I could be in the mountains with the Friefeld family in some empty beit midrash, and learn all day long with extreme intensity. Most of my learning during my Far Rockaway years were with the Gemara, Rashi, Tosphot and the Beit Yosef and Tur which I used as commentary on the Gemara. When Tosphot was unclear to me, I learned the Ritva and Rosh and other rishonim (Mediaeval authorities) to help me figure out what Tosphot was saying. Often the other rishonim [first authorities i.e mediaeval commentaries] would say different things than Tosphot, but learning them helped me put the idea of tosphot into context. In Far Rockaway also there was the presence of Reb Naphtali Yeger who had a really great way of learning. It was completely different that the regular way of looking at the Chidushei HaRambam (by Reb Chaim Soloveitchik) or other achronim.
In fact, the whole idea of finding the yesod ( foundations) was completely wrong in the eyes of Reb Naphtali. (Don't put something into Tosphot that is not there. Don't put outside principles into Tosphot. If you can't understand Tophot without putting in some principle that he does not say there, then that means you don't understand Tosphot.)
Any extra word or idea that you had to put into Tosphot to make it make sense, simply meant that you did not understand Tosphot. What he did was make me repeat the Tosphot--not word for word, but explain what he was saying from beginning to end. And during that process, I would notice some glitch in the reasoning of Tosphot. It was in these glitches that Reb Naphtali used to uncover the infinite layers of depth in Tosphot. The answer to a glitch would seems to make the glitch disappear, but bring another question in its turn; and the answer to that question would bring another answer in its turn. The usual amount of sub-levels that Reb Naphtali discovered in a Tosphot in this way was about twenty. In the Mir this was unknown. And in Israel I discovered to my great disappointment that people were dogmatic believers, but not devotees of the Talmud.
Back to the Mir. I went to Reb Shmuel's class right when I came into the Mir. This was not usual because most people had to start at the first level and work their way up. I don't know why I was accepted for the highest class.(Maybe just kindness to me.) His way of learning was very deep, but it was the Reb Chayim type of approach which I mentioned. In the hands of Reb Shmuel, this was a great approach. (It can be abused. People can make up yesodot principles all day long and stick them into any given Tosphot or Rambam all day long. You can always force any given text to say anything you want any time.) But Reb Shmuel had this logically rigorous type of way of going deeper and deeper into the subject but again he was starting with the basic Reb Chayim approach. Personally let me say I was coming from Beverly Hills High School with zero experience with this Brisk type of learning. I had no way of deciding between Brisk and Naphtali Yeger. To this day both approaches seem to me to be valid. But when I do my own thinking into a Tosphot, I usually take the Naphtali Yeger approach simply.
My second year in Mir they started learning Ketubot which I had just finished in Far Rockaway. So I joined a group doing Shabat instead.-