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 angle of the rudder recovered from Flight 447 seems too acute to have been safely used at that speed. Picking Up Pieces From a Midair Explosion Clive Irving June 13, 2009. And sitting in its eye, trying to hire staff, put systems in place, and keep a forceful hand on the rudder, is Elizabeth Warren.