Questioning That Leads to Inferential Thinking

During my lesson over questioning that leads to inferential thinking, I first tell students what I am thinking and questions I have about what I am reading. I have been integrating this reading strategy into math problem solving questions. When I read a problem solving question aloud to my class that sounds very confusing, I first ask them questions that I am also wondering about myself. For example, what is the question I'm really suppose to be solving? or what information/words are used that I don't need to be paying attention to? Then I allow them to ask questions/share about how they think they could solve the problem and how they couldn't solve the problem. I believe having them share ideas and think about different questions to the solve the problems, makes students better thinkers and better problem solvers.