In this scenario, the student is a passive participant in the process. The information learned is impersonal. Clearly, the teacher is in control of the learning process; his or her interests dictate what and how fast the students learn.
The answer in all three cases is that rudder is used to help maintain stability in the roll. A little rudder at just the right time can help keep the nose up in a slow roll or even an aileron roll, as the plane rotates through the sideways portions of the roll when gravity is otherwise not countered.
The interesting thing about older ships like the Titanic is that they still used a steering system that worked exactly like you were holding a tiller physically attached to the rudder: turning the wheel to port moves the rudder to starboard, which moves the ship to starboard.