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Oct 16 2009, 2:40 pm

How Can We Improve Our Math Scores?

This week's horrible math scores among 4th and 8th graders highlights America's ongoing struggle to score competitively in international standardized tests in math and science. So the New York Times Room for Debate blog brought together five education experts to offer solutions. Are they any good?

Let's review their arguments:

1) Blame the Tests "The only good news is that students attending Catholic schools -- ironically the institutions sheltered from Washington's accountability regime -- displayed a robust jump in achievement...The culture of standardized testing -- legitimated by Washington policies -- has served to de-skill and demoralize our best teachers."

2) Blame the Teachers "There are certainly problems with No Child Left Behind, but the law's encouragement of testing is not one of them...Teaching methods, curriculum, lack of adequate subject matter knowledge among math teachers and lack of real consequences in school accountability systems, rather than tests and standards, could be the real culprits for low scores."

3) Blame the Curriculum "If we want to improve mathematics education, we should banish nonsensical curricula like Trail Blazers, Everyday Math and Investigations and make sure that our teachers are properly educated and proficient in math content."

4) Blame the Textbooks "In elementary school textbooks in the United States, easier arithmetic problems are presented far more frequently than harder problems. The opposite is the case in countries with higher mathematics achievement, such as Singapore."

5) Blame the Pedagogy "What is needed is not another test, but sound mathematics instruction that stresses content over process. The education establishment needs to understand that even process is based on skills and exercises, and a logical sequence of topics whose mastery builds upon itself."

So you see, education policy reform is very simple. All we have to do is revamp the pedagogy, throw out the textbooks, re-write the tests, fire all the teachers, and draw up a new curriculum.

This article is a microcosm of what frustrates me about education policy. Every college grad considers him or herself an education expert because they've spent at least 16 years in school, and our education system is a bottomless PEZ dispenser of issues. The result is something quite cacophonous.

To me, some things are clear. Countries that outperform the United States in math and science almost universally have longer school days. In fact the length of the school day is one of only a handful of dependable indicators of achievement. So let's extend the school day. Beyond that the issue of math achievement stumps me a bit. I'm sure the best answer out there probably involves incentives -- whether they're financial for the teachers or pedagogical for the students -- but it's deceptively easy to blame the whole system.

Comments (6)

why not let parents decide what works their best for their kid?

Why are you or anybody else an expert on how to educate another person's child?

I know it is hard for a liberal to imagine, but people generally do make the best choices for themselves, if given the chance.

It probably would not be your choice, but it is still a good choice.

wiredog (Replying to: mdb002)

We do if the kids are in private schools that don't receive public monies. But the moment the schools are receiving my tax dollars then I have an interest in how they are run and how they perform.

With the exception of Mr. Fuller's opinion, the other four opinions presented on the NY Times "Room for Debate" page are consistent with each other and not as disparate as you would have your readers believe.

Mr. Izumi, Ms Horrigan and I agree that testing is not the issue. And the four of us agree that proper teaching is important. Dr. Bisk and Ms Horrigan brought out that teacher knowledge is important; I happen to agree but didn't stress that in my opinion. But we all agreed that curricula and textbooks play an important role. I agree with Dr. Bisk's assessment of textbooks, and particularly his comment on Singapore's math books. (See my article at http://educationnext.org/miracle-math/ which discusses Singapore's math program. ) Dr. Bisk also states that there is needed "a more focused curriculum that emphasize core concepts and skills; and more challenging textbooks that teach for mastery and not just exposure." I agree with this and also make the point in my piece that mastery is key.

You claim that the countries that outperform the US have longer school days. While this may be true, there are other aspects of these countries' math programs that you have not touched upon, and that is the consistent and thorough math curricula and textbooks used. Again, Singapore is a good example of this. The argument that "It's the culture..." does not completely address why the countries do better. The culture plays a role for sure, but the culture has also produced curricula and textbooks that are effective--and are decried by many in the education establishment as "drill and kill", and too heavy on procedures.

Math education issues are complex as you admit. I don't think they boil down to longer school days and incentives, however, though I wish it were that easy.

In my experience, what matters is whether people stay curious about the world, open to education, and willing to teach themselves new things. Formal education hardly matters if you have those skills and attitudes.

From what I remember of school (a long time ago!) kids start hating it by 5th or 6th grade. From there on, it's just memorize and test, memorize and test, until summer when you can forget every bit of it. Trying to get a classroom discussion started was like pulling teeth, and you could see many teachers just deflate at the quality of what they got back from students.

I think teaching to the test, even if it's a wonderful test, is the wrong approach. You need to do more projects, which might make students actually think this stuff is useful. Otherwise, it's in one ear and out the other. We don't need more kids who hate school and think of education as nothing but drill.

Just ask yourself how many adults you know could pass the tests they took as kids, or in college? How much can education possibly matter if no one retains any of it?

And then look at the difference between self-motivated people who pick up new skills, and those who sit and wait to be told what to do (as if they were still in school.) That difference is what counts.

Barry,
Glad you responded as I felt that Derek was playing a little fast and loose with the various suggestions you folks made. Having been a teacher for many years, I cringe when I read about "the solution" or even "solutions" to our educational mess. So, I'll offer mine anyway. We must first believe there is a problem that will require a concerted effort to fix. Then we must undertake a national effort (NCLB with national standards, adequate funding, national best practices, etc.) to get everyone on the same page and moving in the same direction. A 4th grade student should be able to move from one place to another and be working at the same level. If the material is too easy, she should move up; if the work is too hard, she should move down.
We should challenge students to work more independently, using sophisticated computer programs that allow them to progress at individualized rates.
But it all starts with a common will. If we don't believe our nation is at risk of educational failure (or is in fact already failing our students) then we will carry on as usual.