1. Teachers with different personalities and teaching styles.
麻辣教师：Great Teacher Onizuka (GTO)
GTO refers to the teacher in the Japanese manga series Great Teacher Onizuka. He is a kind, handsome teacher with an open-minded teaching style. The cartoon series is so popular that GTO has become a byword for teachers who are open-minded, sexy, and charming, and who are always helping “problem students”.
古板女学究，要求严格的女教师：school-marm
A school-marm refers to an old-fashioned and strict female teacher.
I can’t even imagine how boring my coming semester will be! Our supervisor seems like a school-marm! (简直无法想象下个学期有多无聊。我们的辅导老师看起来就是个女学究！)
2. Teachers who have different job duties
陪玩家教：pupil-sitter
Pupil-sitters mainly supervise students. Their job duties include not only playing with the kids but also basic teaching. So pupil-sitters play dual roles of baby-sitting (代人临时照顾婴孩) and teaching.
Since you love kids so much, why not quit your boring office clerk job and be a pupil-sitter? (既然你这么喜欢孩子，为什么不把现在这个无聊的办公室文员工作辞了，去当陪玩家教呢？)
在编/全职教师：regular teacher
The regular teacher arrived five minutes before she was due. (那个全职教师比要求的时间提前5分钟到了教室。)
代课教师： substitute teacher, relief teacher
Substitute teachers (in the US and Canada) teach a class when the regular teacher is unavailable (because of illness, personal leave or other reasons). In Australia and New Zealand, students usually call them “relief teachers”.
Mr Wang was hospitalized, and so we’ve got a substitute English teacher today. (王老师住院了，所以今天请了一个英语代课老师。)