a liberal arts university will recognize what I'm talking about. It's not a "lesson plan." It's a method of discussion. Yes, you do sometimes single out a student, in order to facilitate discussion. Then you might single out another student after that. And another.
And yes, you're going to very directly, and maybe forcefully, challenge the assumptions and beliefs that are expressed by the students. The purpose is to get kids to think hard and to think differently. Get them to defend their positions and see the weaknesses in their thinking.
I know that a lot of people here think of college as a trade school - learn your skill and then go get a job. But it can be a lot more than that, if you want it to be. A good professor who pushes students to think differently can really teach critical thinking, which is something that we could use a lot more of.