The simple secret to having students create questions is for the teacher to think critically about what questions or types of questions they want the students to come up with.  By working backwards, teachers construct teaser statements that compel students towards asking questions in a certain direction.  This is the fastest way for students to arrive at meaningful questions that prepare them for learning.  There is certainly some benefit for students brainstorming clusters of questions from a compelling topic.  However, this requires more time.  And more time for learning means that students need to prepare themselves quickly for that learning.

Inquiry Based Learning is all about students generating the questions they will investigate, find answers to, and showcase.  Teachers may still provide the means or requirements for how the learning will be assessed or demonstrated.  But the inquiry process will be done by students.  Student inquiry also does not mean that teachers cannot supply knowledge or content that answers the questions that students investigate.  In fact some of the most meaningful lectures or presentations can happen after students are armed with the very questions they are curious about or need to know.  

Inquiry Based Learning and Guided Inquiry can go hand in hand.  If students have generated big picture questions for a topic to explore, they may still require other questions that help them dive deeper into that exploration.   This is where teachers as masters of a discipline or of the content knowledge assist the students by providing more sequential questions that allow students to climb the ladder of deeper understanding and gain the core knowledge that they need to be successful in a class.