One of my greatest concerns in teaching math has always been how to ascertain
the depth of understanding of math skills among all my students. From checking
homework and classroom work it often appears that, because all the students’ scores are
high, they must understand the skills. Or, after a quiz that has examples from each
objective, each student passes with high marks and has, seemingly, high levels of
understanding. During review sessions for the unit test, students rehearse each skill and
have the opportunity to ask questions. It appears that every student is proficient on every
objective.