I teach high school math and science, and I often give students assignments that ask them to develop their own questions. I make a point of telling them we won't be answering all of these questions; some of the best questions would take a lifetime to answer. This helps break students out of the mindset that every question asked in school needs to be answered, and the answer needs to be evaluated as right or wrong.
Many students don't know how to craft a good question, but given the space and time to do so many of them can develop the skill. Classroom conversations change significantly when the guiding questions we're focusing on have been thoughtfully crafted by students.