There are different types of homework for students:
- they are asked to solve problems in theory
- Write composition
- make handicrafts
What certain vocabulary can be used for each one of these tasks?
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These are by no means the only terms for the examples you listed, but in my studies I have heard them called as such:
1. solving problems in theory: "problem sets" (mostly in physics or math) 2. write compositions: "paper" (as in, "I have to write a paper.") 3. make handicrafts: "project," or perhaps "arts and crafts project"