The Elementary-Secondary Math Disconnect

I observed in two middle school math classes, grade 7, today. Something that I found very interesting is that the focus of the lesson was on remembering/reciting math facts quickly in order to be able to use them to solve arithmetic problems, and it was part of the curriculum, not an add-on.

From my observations in elementary school and from talking to elementary teachers, many curricula used in the elementary grades are based on problem solving and getting excited and engaged about math; sort of like they are trying to convince the students that math really is important, practical, and really fun. Math facts are not part of the curriculum, and in some schools, drill and skill is discouraged.

A professor earlier in the program bluntly told us that most math curricula adopted by school districts for the elementary level do not sufficiently prepare students for middle and high school math or practical life math. He said though there is value in those curricula, it is a teacher's responsibility to make sure students are getting their math facts down as well, because they need to know them. He said there is a place for drill and skill and memorizing multiplication tables and other basic arithmetic, and that teachers are obligated to add that into their math lessons even if they are not part of the district curriculum.

I asked one of the teachers I observed today, "Do most of these kids come into middle school not knowing how to do basic arithmetic?" She said yes, few know their math facts by heart and thus when they arrive at middle school and are supposed to be able to retrieve them fast in order to take the tests, they are shocked and you have to teach the math facts and basic principles of adding/subtracting/multiplying/dividing integers for a few weeks at the beginning.

So, for a few weeks every year at the beginning of the year in 7th grade math, even the challenge (Honors) classes, teachers do integer review. And though I did not observe a 6th grade math class, I am guessing they dedicate an awful lot of time to core arithmetic and math facts, because if they don't, the new middle schoolers can't handle the middle/high school curricula.

There is a place for both problem-solving and arithmetic in math, I think, just like most debates in education. There is a place for both phonics and whole language reading. There is a place for lecture as well as hands-on and cooperative group learning. There is a place for both drill and skill and cool exciting projects. There is a place for both mainstreaming of special ed students and seclusion of special ed students.