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For example, the 6.046 exam is tomorrow. What if the class staff booked a classroom (say 1-132) from say 5pm to 8am the next day and then publicized that room to the class. Then anyone who is looking for a study buddy could just drop by any time that evening and see who is around.
If a class encourages collaboration on the p-set, a similar thing could be done the day before a p-set is due.
This could be held in conjunction with staff being present (ie. office hours), but doesn’t have to. I got this idea from working with other students I found in office hours. Often the helpful part is not just staff members, but peers. However, typically arranging group study sessions is difficult, because you need to take schedules into account and proactively arrange times. That is why I think the course staff should just reserve a room and designate it as the place to study or p-set together. Then you could work with whoever is there at the time.
Given we already have classroom space, and not all of it is reserved into the evening, I think we might be able to make this work at no extra cost to MIT.