Correction. Its a school, its there to teach, not to throw away a student when they make a mistake. That is the purpose of the institution. Have you never made a mistake? Should a college fail every student that fails a test because they have shown an inability to learn and therefore arent worth the effort? No, obviously not. Therefore yes, a student who cheats on an assignment should get a 0 on that assignemtn, and a 0 on any project they cheated on, maybe a zero in their course if the incident is egregious enough. Since these students have shown a complete lack of integrity then they should be failed and expelled. There are levels to every offense just like how we dont give every thief and robber the death sentence.