I start back at community college this coming Monday and have been reading reviews of professors at Rate My Professor. One common complaint that I see with so many math instructors on there is that they merely do practice problems on the board and that's all that math instruction consists of. People complain there is no explanation of why you're doing what you're doing (i.e., what's the logic behind these steps) and no connecting this stuff to real world problems. It's just rote problem-solving. And worst of all, on top of this method of teaching, I see so many reviewers complain that their teachers don't like students asking questions and frequently tell them they must just figure it out on their own. Why is this? If we're just supposed to figure things out on our own, then why is the use of a teacher? What are they there for? Rote problem-solving to me is pointless instruction, because I could just do that on my own at home. But this seems to be typical math instruction (at least at my CC). Thoughts?