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Monday, September 25, 2006
Phyllis Schlafly :: Townhall.com Columnist
Parents know the right equation for teaching math
by Phyllis Schlafly
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It took parents 17 years to overturn the tragic 1989 curriculum mistake made by so-called education experts who demanded that schools abandon traditional mathematics in favor of unproven approaches. The National Council of Teachers of Mathematics finally reversed course on Sept. 12 and admitted that elementary schools really should teach arithmetic, after all.

The new report called "Curriculum Focal Points for Pre-kindergarten Through Grade 8 Mathematics" is a back-to-basics victory that rejects the type of math curricula that parents had derided as "fuzzy math" or "rain forest math." Experts preferred such hoity-toity titles as "New New Math," "Connected Math," "Chicago Math," "Core-Plus Math," "Whole Math," "Interactive Math" or "Integrated Math."

Whatever the title, these curricula imbedded the notion that estimates are acceptable in lieu of accurate answers to math problems so long as students feel good about what they are doing and can think up a reason for doing it. Fuzzy curricula were big on discussion, coloring, playing games, and early use of calculators.

The 1989 report, which gives the word "standards" a bad name, flatly opposed drilling students in basic math facts, taught that memorization of math facts was bad, and failed to systematically build from one math concept to another. Children were encouraged to "discover" math on their own, construct their own math language, and flounder with their own approaches to solving problems. This silliness is based on the false notion that children can develop a deeper understanding of mathematics when they invent their own methods for performing basic calculations.

Despite widespread parental opposition, in October 1999 Bill Clinton's Department of Education officially endorsed 10 new math courses, based on the 1989 "standards," for grades K-12, calling them "exemplary" or "promising." Local school districts were urged to adopt one of them, and were baited with federal money inducements.

One department-approved "exemplary" course, "MathLand," directed children to meet in small groups and invent their own ways to add, subtract, multiply and divide. It's too bad the kids weren't told that wiser adults have already discovered how to do all those basic computations rapidly and accurately.

It wasn't only parents who quickly sized up fuzzy math curricula as subtracting rather than adding to the skills of schoolchildren. On Nov. 18, 1999, more than 200 prestigious mathematicians and scholars, including four Nobel laureates and two winners of the Fields Medal, the highest math honor, published a full-page ad in the Washington Post criticizing the "exemplary" curricula.

But Clinton's Education Secretary Richard Riley refused to back away from the department's endorsements and the 1989 "standards" adopted by the National Council of Teachers of Mathematics.

With such vague parameters for courses in math, trendy instructors began advancing their political agenda by injecting ethnic studies into math textbooks. Some taught what Diane Ravitch calls "ethnomathematics," the far out notion that traditional math is too Western and therefore students should be taught in ways that relate to their ancestral culture.

The diversion of math into the teaching of political correctness was illustrated by the "anti-racist multicultural math" curriculum adopted by Newton, Mass. It's no wonder that test scores dropped after this "math" curriculum's top priority became "Respect for Human Differences." Continued...

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About The Author

Phyllis Schlafly is a national leader of the pro-family movement, a nationally syndicated columnist and author of Feminist Fantasies.
 
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Geometry and Saxon
Geometry in the Saxon Series

Geometry is integrated in the Saxon textbooks. The Algebra One-Half and Algebra I have extensive work in shape classification, and in perimeter, area, and volume, some of it influential. Angle and line classifications and relationships, and proof, begin in the Algebra II book and are carried on in the Geometry/ Trigonometry/ Algebra III book (aka GTA-III, aka Advanced Mathematics). In this respect, students study geometry in the same way that higher-achieving countries do, as a natural part of the mathematics curriculum. Few countries require a dedicated course.

As a teacher, I enjoy the dedicated course. That’s not necessarily what students need, of course. The dedicated course is required in many places. When I represented Saxon at conferences, teachers often asked for a recommendation for such a book. I recommended Geometry for Enjoyment and Challenge, revised edition, ISBN 0-88343-916-6, by Richard Rhoad et al., McDougal Littell, publisher, copyright 1984. Two of the three authors were top coaches of interscholastic mathematics contests in suburban Chicago. The book features much ongoing review a la Saxon, with some arithmetic, some probability, and some algebra in each assignment. Copies are hard to find.

I also recommend a very tough geometry book by Weeks and Adkins, A Course in Geometry, published in 1960 or so, since republished by Bates Publishing. This was the work of two teachers at Phillips Exeter Academy, and reflected 65 years of teaching experience. The book is a great mix of numerical and proof exercises. I recall using this book when I was in high school, in part because I would read a problem, draw what I thought was intended, re-read the problem, and realize that I needed to redraw. But by the time I had the drawing under control, I had figured out what was needed to solve or prove. Most books these days have things already drawn, and I question this. Books with drawings sell better, but that’s not the point any more than my teacher preferences.

If a student or a class of students are willing to work, they can cover the three Saxon books (Algebra I, Algebra II, and GTA-III) in three years and be ready for a good calculus course. One might ask how this is possible when the standard curriculum takes four years. Any savy teacher knows, and my dissertation research demonstrated, that the bulk of the standard algebra two course is algebra one repeated, since the standard approach is one idea today, another tomorrow, in one ear and out the other. (Also: one tree today, another tree tomorrow, and never the forest -- until the final exam, too late.) Saxon students remember and synthesize on their own. Every day is a new tree and then a review of the forest. Just common sense.

Our youngest son grew up with this, and, before starting calculus, asked to have a dedicated trig course. I gave him Paul Forester’s book. He did a chapter a day until the last chapter, which involved complex variables. That took a week. He went on to ace an advanced calculus course at a good community college and then tutor in the math and science lab, starting when he was 16. He graduated from UT-Austin in Petroleum Engineering with highest honors, having slept (literally) through a differential equations midterm and scored the top grade on the final, the only other course grade. He is now a third-year med student at a good school, earning top grades, happily married, enjoying music and sports and church, and doing community volunteer work. Saxon and MATHCOUNTS have served him well.

I’m at 940-574-2190 in the evenings and weekends. I am looking for people who might want to help with the War on Learning book, if only to help proofread. My wife already knows what I’m going to say, etc.




again I aplogize
I noticed that I did have many grammer erors and spelling mistakes. I am sorry for this I made my comments after bartending for 12 hours and then getting ready to teach this mourning.
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