Get something into bones: I found this idiom in essay "First year at harrow" by Winston Churchill. Here is link to pdf version of essay.
Thus, I got into my bones the essential structure of the ordinary British sentence -- which is a noble thing.
To school in is an expression meaning to teach or train, generally a skill or craft.
It is frequently used in the passive to mean that someone had acquired skills:
He was schooled in the craft of stone-masonry.
It can also be used actively:
The poacher schooled his children in the art of catching birds.
The Oxford Dictionary defines schooled as: Educated or trained in a specified activity or in a particular way.