Translation:The teachers know the students very well.
I feel like the sentence structure is a bit clumsy. Shouldn't it rather be "Los maestros conocen muy bien a los estudiantes"?
Often in Spanish, the preposition "a" is needed between a verb and a noun. "Conocer" needs it in certain cases. In my experience there's no consistent rule as to when it's needed, but here's a helpful article to in what cases to use it: https://www.123teachme.com/learn_spanish/preposition_a
Yes, good question. Didn't I learn somewhere that adverbs should be with the verb, if possible?
It's the "personal A" - there have been manyvposts about it just on this module...