Misconceptions about learning mathematics

Can you determine what is wrong about each of the following statements? Think about them a little. To see my own rejoinders to them, click here.

1. With a math problem, you either know how to do it or you don't.





2. In a calculus course, theory is irrelevant, for what's really at stake is doing the problems. The lectures should just show the student how to do the problems.






3. The purpose of the classes and assignments is to prepare the student for the exams.






4. Students learn best when everything they have to know is presented slowly in the classroom.






5. It is the teacher's job to cover the material.






6. A good teacher is one who can eliminate most of the struggle for the student, making the material easy to learn.






7. When the students are happy with the instructor's lectures, they learn the material better.