Educators generally take a salary, and may take a salary, for teaching the Written Torah (specifically): Nedarim 36b-37a
Taking pay for teaching how to read the Written Torah, or for guarding the schoolchildren: Nedarim 37a-b
Honor of one who learned, but didn't teach: Megillah 28b
What happens if a teacher accidentally murders a student while disciplining him: Makkot 8a, 8b
Rav Acha removed a teacher for hitting the children too much, but Raveina returned him to his post because no one else could teach as well as he could: Makkot 16b
Exiling a teacher to a city of refuge, if he is in the middle of teaching Torah: Makkot 10a
Advice for Education
Only a person who is expert in all areas of learning should teach publicly: Makkot 10a
One should only learn from a teacher who is pure: Moed Katan 17a
Teaching a student who doesn't behave well: Makkot 10a
Allowing the reading of a partial verse for education, because it is necessary: Taanit 27b
Beginning a Lesson with a joke: Pesachim 117a
One should teach [his child] out of a well-edited text, because once an error is learned, it is hard to correct it: Pesachim 112a
One must teach with the briefest possible phraseology: Pesachim 3b
Care required to prevent students from mistaking actions for incorrect Law: Berachot 11a
Use of mnemonics is important: Shabbat 104a; Eruvin 54b