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October 14, 2012

It's Not Just Writing: Math Needs a Revolution, Too

Barry Garelick, via a kind email

In The Atlantic's ongoing debate about how to teach writing in schools, Robert Pondiscio wrote an eye-opening piece called "How Self-Expression Damaged My Students." In it, he tells of how he used modern-day techniques for teaching writing--not teaching rules of grammar or correcting errors but treating the students as little writers and having them write. He notes, however that "good writers don't just do stuff. They know stuff. ... And if this is not explicitly taught, it will rarely develop by osmosis among children who do not grow up in language-rich homes."

What Pondiscio describes on the writing front has also been happening with mathematics education in K-6 for the past two decades. I first became aware of it over 10 years ago when I saw what passed for math instruction in my daughter's second grade class. I was concerned that she was not learning her addition and subtraction facts. Other parents we knew had the same concerns. Teachers told them not to worry because kids eventually "get it."

One teacher tried to explain the new method. "It used to be that if you missed a concept or method in math, then you were lost for the rest of the year. But the way we do it now, kids have a lot of ways to do things, like adding and subtracting, so that math topics from day to day aren't dependent on kids' mastering a previous lesson."

This was my initiation into the world of reform math. It is a world where understanding takes precedence over procedure and process trumps content. In this world, memorization is looked down upon as "rote learning" and thus addition and subtraction facts are not drilled in the classroom--it's something for students to learn at home. Inefficient methods for adding, subtracting, multiplying, and dividing are taught in the belief that such methods expose the conceptual underpinning of what is happening during these operations. The standard (and efficient) methods for these operations are delayed sometimes until 4th and 5th grades, when students are deemed ready to learn procedural fluency.

Posted by Jim Zellmer at October 14, 2012 5:25 AM
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