Your question is too vague. Doesn't all interaction between conscious individuals have a psychological dimension? What's the contrast, i.e. what would you consider nonpsychological interaction to be? Or do you have particular psychological theories or approaches in mind?
It depends. The main thing in teaching is mutual respect between the Teacher and the Students. This is the essence of psychological interaction. Kant read once a whole course of lectures to a single Student. The rest of the Students in this course were not interested in the philosophical depths of the Genius. But this is in fact determined by the complexity of the subject, and not by the peculiarities of the psychological interaction. Sometimes the most important thing is to find such a Student who will continue the path of the Master. This is the most difficult.
I would agree with Vladimir in the other comment that mutual respect is very important. When I teach students, I am very clear with them that their experiences and knowledge amassed from their own lives will teach me things that will help me become a better lecturer. Their contribution matters when it comes to the richness to the classroom.
Karl is right here, but if a psychological approach is employed at all then individual approaches are necessary. Respect for others has a psychological affect on some, but in itself is not systematically psychological.