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Mathematical Knowledge for Teaching

November 14, 2006 10:57 AM

In his review of episode eight of The Wire, Craig Jerald at The Quick and the Ed writes that "American teachers themselves have a much shallower grasp of math concepts than Chinese teachers, despite spending many more years in school to become a teacher" and cites the research of Deborah Ball and others.  However, in the American Educator article referenced by Jerald, Ball identifies the real problem, that "the mathematical knowledge of most adult Americans is as weak, and often weaker" than that of teachers.  Writes Ball,

We are simply failing to reach reasonable standards of mathematical proficiency with most of our students, and those students become the next generation of adults, some of them teachers.  This is a big problem, and a challenge to our desire to improve.

Ball believes that to improve mathematical proficiency, we must identify and bolster the "mathematical knowledge for teaching" which is not merely content knowledge, but "specialized knowledge for teaching mathematics" that is independent from "common content knowledge--the basic skills that a mathematically literate adult would possess."  Jerald's post glosses over what Ball means by mathematical knowledge.

Ball is also quick to point out why identifying the "mathematical knowledge for teaching" matters; early evidence suggests that improving teachers' knowledge will enhance student achievement.  The AFT-affiliated Shanker Institute is supporting Ball in this work.  And readers may also want to look at another American Educator article by Richard Askey, which discusses Liping Ma's work, a researcher who is also mentioned in Jerald's post. 

Comments

If we want to change math literacy in this country, we may have to change the way math is taught. Right now constructivism stalks the land. American Educator is one of the few respected education publications where we can read articles that support forms of instruction that are not constructivist. In Spring 06, for example, Daniel T. Willingham explains the benefit our students derive from having a strong knowledge base (including mathematics knowledge). Here is a link to that article: http://www.aft.org/pubs-reports/american_educator/issues/spring06/willingham.htm

Here in NYC, many teachers are frustrated by the constructivist math imposed on their students. The frustration comes from teachers with two years experience and teachers with twenty. It is felt in schools that educate the poor and the middle class, from the Bronx to Staten Island.

I hope that AFT continues to fight the good fight for content rich, knowledge based curriculum for students all over this country.

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The NCLB Blog was established by the AFT as a forum where public education advocates, policymakers and others can exchange information and express their opinions on NCLB and related issues. The views expressed here are not the official views of the AFT or any of its affiliates. All claims otherwise would violate the spirit and purpose of the blog. © American Federation of Teachers, AFL-CIO. All rights reserved. Photographs and illustrations cannot be used without permission of the AFT.