What I am not understanding here is why A teacher is doing math problems with the kids. Ironically I was just at a curriculum night at my daughters school. she is a 7th grader who is part of the districts magnet program. She is taking accelerated geometry with 4 other magnet kids and the rest are 8th graders who are advanced and part of the regular junior high. After listening to the teacher talk it was obvious she was teaching and not working on the problems herself. in less than three weeks my daughter has had two quizzes and a test. after she explained what they were going to do in class for the year I quite honestly got a headache.LOL
Isn't that part of teaching a math lesson. You take a sample problem and work through it on the board to help explain the lesson. Or you go over a problem on the homework that some students didn't get. And of course it's going to be slower than a student can do at their desk on paper. The teacher is trying to explain each step as they go along, and make sure that all the students are understanding.
Maybe that isn't what is mean by a teacher doing math problems with the kids. Speed isn't a huge issue for me, but a teacher who doesn't know the material and is only reading a few pages ahead on the text is a problem. I had personal experience with teachers like that in junior high and it was very frustrating. The teacher I'm thinking of couldn't really help when a problem got a bit tricky or difficult, and was inflexible if a problem was solved in a different way than the book.