It is the teacher s responsibility to make sure that this knowledge is embedded in the student. I somewhat agree with all four branches of philosophy. Metaphysics raise many interesting points. They should know that the real them is not based on material things, but that the real them is what is within their minds. As far as Epistemology, I agree that sometimes thought should be driven by divine revelation.
Axiology is effective because it teaches right from wrong and good from bad.
Logic is where the brain does most of the work. Deductive and inductive reasoning, from my experience, are both very effective ways to learn and reason, in different situations, depending on the individual s learning style.