yes. they put the captured elite Hebrews into their education system. They were shadrach, mischak, and abednego. They were big in the study of the stars, astronomy.
For the most part the only education that a young Babylonian might have received would have been of a scribal type. Those who were sent to school to train as a scribe had to be children of wealthy or...
Back in the age of the dinosaurs, schools used to mail out a list of needed school supplies, and also provide local merchants with the requirements by grade level. Many merchants would pre-bag sets...
A trade school typically has instructors who are certified (if not also licensed) in the trades being taught (electrician, plumber, beautician, etc), or at the very least experienced in those trades...