In China, before college, each class has a teacher who in charge , can I call it the head teacher?? Or head master? And after college, each class has a person who manages several classes daily routine but does not do the teach..what do you call it? For example, if my math flunked, I can ask him\her for help but I can't possibly ask the college professors for help. And if my PC were stolen, I should also ask him for help. What do you call it? A teacher?? But he doesn't teach
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1.before college, each class has a teacher who in charge , he/she's a teacher who teaches one of the main subjects and who manages the daily routine as well. So if you were caught cheating, it's him/her who implements the punishment. He/she is only in charge of one class. What do you call it? Can I call it the head teacher?? Or head master?
2.after college, each class has a person who manages several classes daily routine but does not do the teach..what do you call it? For example, if my math flunked, I could ask him\her for help but I couldn't possibly ask the college professors for help. And if my PC were stolen, I should also ask him for help. What do you call it? A teacher?? But he doesn't teach.
In college, the professor may have one or more TAs (teaching assistants) that instruct "sections".
The terminology for such a teacher in general, regardless of their gender or the type of school that they are in charge of, is headteacher http://dictionary.cambridge.org/dictionary/british/headteacher
homeroom teacher is what you are looking for