When it comes to math homework, practice is important, but if a student understands the concept after 5 to 10 problems they do not need 40 problems to practice. This can be counterproductive as they may not do the work at all or feel so overwhelmed by the work that they become frustrated that they develop a negative attitude toward math and homework in general. As a teacher, I strongly believe in not assigning busy work as students will resent it. Instead, checking students' knowledge of concepts by short quizzes following short homework assignments is more effective because they can feel successful and if you can assess areas of weakness to focus on. Tailoring homework to the students' needs is definitely the sign of perceptive teacher.
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