Choosing the constraints for a project is no different in the context of CS than the context of any other fields -- electrical, mechanical, etc. It is a conversation, as you stated. This helps in many ways: it helps the developer understand exactly what the client wants, helps the client understand exactly what they are going to get, and helps build an implicit timeline replete with discrete and obvious deliverables and (if done correctly) those deliverables are fairly modular.
Thanks! I, too, get frustrated that people just say 'math! math! math!' That isn't helpful or meaningful. This is a conclusion I came to after talking to quite a few of my friends and colleagues in different engineering disciplines.