1.What are some western eating habits?
What are some eating habits westerners have?（个人认为这句比较好）
What are some eating habits of westerners?
2.How do westerners teach?（这个不是很正规,但是如果是口语的话这句最好）
What is the western teaching system like?（这个较为正规）
What is the western teaching method?
楼主请指明西方人是什么,因为欧洲其实应该是算东半球,所以你说的西方是美洲还是欧洲?这里用的“westerner”是泛指,如果是美国人,那换成“Americans（美国人）/ American（美国的）”或者是“Europeans（欧洲人）/ European（欧洲的）”那问一个美国校长怎么问才有礼貌呢What are the eating habits of Americans? 如果她说你太笼统，就说What do they eat and how do they eat differently from people over here?How do teachers in the US teach? 如果他表示疑惑的话，或者说你太笼统的话，就说How is the teaching method different from that over here?