I have a friend who taught in Santa Fe. He is a font of knowledge.
A cousin of mine went to a Catholic private 1-12 school in Santa Fe that IIRC was affiliated with St. Johns (1960s). Many or most of the teachers were Monks, not sure of what order. One thing he mentioned that stuck with me is that the Monks were very strict on discipline and were not shy on the use of corporal punishment for going outside the lines of proper behavior.