Or, study Socrates himself in action. Read a few of Plato’s dialogues (maybe the Symposium, Phaedrus, and Apology).
Successful dialog depends on minds prepared for learning (either prior to discussion or iteratively through the discussion process itself). A good mentor helps students resist tendencies to bloviate (show off), wander off topic, or shrink from participation. The mentor (or other participants) may challenge logical-rhetorical fallacies or statements unsupported by evidence. The process should expose different perspectives and approaches to challenging problems.
Grades may be based not only on class participation but also (perhaps more heavily) on writing assignments and in some cases on essay (or short answer) exams.
Expect heavy reading loads and challenging writing assignments at some of the colleges that emphasize this approach. Readings typically would focus on primary source materials (not on textbooks).
Not necessarily, especially at first.
To work well, participants need to challenge each other honestly and appropriately, ideally without being too thin-skinned.
Yes, if it’s working well. Or, in some cases, it may expose you to a kind of person you’d rather avoid.
There are no guarantees (especially if participants are unwilling, unprepared, or disruptive).
It may tend to work best at colleges where this approach is an important, long-standing element of the whole undergraduate curriculum. St. John’s College was mentioned above. The Columbia and UChicago Core programs are other examples. Many liberal arts colleges use it in many classes.
Doing Q&A with a teaching assistant in small break-out sections, as a supplement to lectures, isn’t necessarily (probably isn’t) “Socratic”. In courses emphasizing this method, lectures (if used at all) typically would supplement seminars, not the other way around. But a well-taught laboratory class could use Socratic approaches to encourage better observation and hypothesis-testing.
The Oxbridge admission interview process seems to invite Socratic dialog, not only in the humanities but also on natural science topics:
http://www.ox.ac.uk/news/2018-10-18-how-can-we-estimate-mass-atmosphere-oxford-interview-questions-explained