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The
Wall Street Journal
Monday,
December 13, 2004
As
math skills slip, U.S. schools seek answers from Asia
By
CRIS PRYSTAY
TOWNSEND,
Mass. -- About five years ago, a statewide test in Massachusetts revealed
that students' math skills deteriorated sharply as they went from fourth
to sixth grade. Alarmed, the Massachusetts education commissioner suggested
an unconventional fix: importing the math curriculum used in Singapore.
Students
in Singapore routinely score among the highest in international math tests.
The hope was that American kids taught the Singaporean way would improve
their math scores.
The
approach has been adopted in about 200 schools nationwide, from rural Oklahoma
to the inner cities of New Jersey. Early indications suggest that many U.S.
students taught with textbooks imported from Singapore do perform better
in math. Some children who once found the subject frustrating say they now
like it.
Faced
with a worrying decline in math proficiency among U.S. kids, a growing number
of educators are seeking inspiration from Asian curricula. American children
are falling behind their Asian peers in science and math, a shift that could
push still more white-collar jobs offshore as the next generation graduates.
"Our
kids just don't seem as numerate as they should be, and we decided we needed
to try whatever we can to fix that," says David Driscoll, Massachusetts'
education commissioner and a former math teacher himself, who had the idea
of using Singapore text books in local schools.
Critics
assert that math teaching has been dumbed down in the U.S. over the past
two decades. They say that too much emphasis is placed on making the subject
accessible and fun and not enough on vital, if repetitive, drills such as
multiplication tables. Another big criticism: U.S. math curricula tend to
cover plenty of subject areas but not in sufficient depth.
Singapore
and other southeast Asian countries take a different tack. Singapore's curriculum
was developed over the past few decades by math experts hired by the Ministry
of Education, who continually interviewed math teachers to find out what
works and where kids need help. The elementary textbooks cover only one-third
of the topics typically found in U.S. textbooks, but the material is taught
far more thoroughly. While rote learning plays a part, kids in Singapore
also learn to use visual tools to understand abstract concepts.
Singapore
math texts, for example, ask kids to draw bars and other diagrams to visualize
problems -- a technique called "bar modeling." When this strategy is applied
consistently over a number of years, children tend to be better able to
break down complex problems and do rapid calculations in their head.
Not
everyone believes that importing textbooks from Singapore would solve America's
math problem. Some states say the approach doesn't meet their standards.
American math curriculum varies from state to state, so there is a potential
gap between standards set on the material students need to know and what
they have covered using the Singapore books. The National Council of Teachers
of Mathematics in the U.S. suggests that it might not be possible to copy
what Singapore's done simply by importing its books. The success of its
math program may have roots in Singapore's highly disciplined culture, where
the entire community -- particularly parents -- expects kids to buckle down
and work hard, argues the NCTM.
There's
little doubt, though, that math teaching in America needs to be overhauled.
Tuesday, Boston College will release a four-year global study that is expected
to show the math gap with Asia remains. The college's last study, the 1999
Trends in International Mathematics and Science Study (TIMSS), ranked eighth-graders
in Singapore the best in math, while U.S. kids came in 19th, just behind
Latvia. American kids also fall further behind the longer they're in school;
as fourth-graders, American kids ranked 7th on the 1995 study.
That
decline has already had an impact on U.S. universities. Among U.S. freshmen
who plan to major in science or engineering, one in five requires remedial
math courses, according to the National Science Board, which is part of
the government-funded National Science Foundation. Enrollment by U.S. citizens
or permanent residents in graduate science and engineering programs, meantime,
dropped 10 percent between 1994 and 2001. Enrollment of foreign students
grew 35 percent.
Because
of the skills gap, America risks losing even more jobs overseas. "Many have
a gnawing sense that our problems may be more than temporary and that the
roots of the problem may extend back through our education system," said
Federal Reserve Chairman Alan Greenspan at a Boston finance conference in
March.
Reforming
the U.S. curriculum is difficult. Unlike Singapore and other Asian countries,
the U.S. doesn't have a national curriculum. Each state is responsible for
setting standards, while each district retains control over how a subject
is taught.
Under
the Bush administration's No Child Left Behind policy, funding and jobs
depend on how each school rates on standardized state exams. Many district
officials are reluctant to try something new for fear of slipping up on
those exams.
But
a handful are turning to Asia for answers. Georgia plans to adopt Japanese
math standards as part of its reform of secondary-school curricula. A teacher-training
textbook, based on Singapore's elementary math curriculum and written by
a math professor at Michigan State University, is now used at a half-dozen
universities in America. Singapore's math textbooks for young kids have
the biggest appeal in the U.S. because they're written in English.
In
rural Bethel, Okla., school-district superintendent Marty Lewis thought
his kids were slipping in math. After his curiosity about Singapore was
piqued by the 1999 TIMSS results, he did an Internet search about the Singapore
method. That led him to the private Rosenbaum Foundation of Pennsylvania,
which funds Singapore math programs in the U.S. and Israel.
The
foundation, in turn, put him in touch with Yoram Sagher, a Florida mathematician
who trains teachers to teach Singapore math. Mr. Lewis hired Mr. Sagher
to give a one-week seminar to all his teachers in July. Bethel kindergartners
and first-graders began using the Singaporean books in September.
"I
came to a point where I thought: I don't care how crazy people think I am;
I'm going to go out and find something that works," says Mr. Lewis.
While
Bethel's kids are just getting started, other school districts have adopted
the Singapore method wholesale. One is North Middlesex, a farming and commuter
district that's an hour's drive from Boston.
North
Middlesex's program got rolling soon after the education commissioner, Mr.
Driscoll, noticed the decline in math ability among his state's sixth-graders.
In 2000, he got a $50,000 federal grant to test whether a Singapore curriculum
would improve math scores for kids in his district.
North
Middlesex dispatched three teachers with math degrees to work with a math
professor at the Worcester State College in Massachusetts. They came up
with a seven-day summer seminar for North Middlesex district teachers, based
on textbooks from Singapore.
The
Singapore-inspired program was started in grades five through eight, which
needed the greatest help. As more teachers volunteered, the program was
extended to other grades.
On
a recent morning in Ashby, a tiny town in North Middlesex, fifth-grade math
teacher Bob Hogan asked for volunteers to work out how many women there
are in a hypothetical university class of 250 if there are 50 more men than
women.
Mr.
Hogan, an energetic 30-year-old teacher, asked for volunteers to tell him
how to solve the problem using a bar model. Sarah Carter, a 9-year-old with
freckles and bright red hair, leaned forward in her seat, arm in air.
First,
she instructed Mr. Hogan to draw two bars of equal length, and label the
top one "women" and the bottom one "men." She then he told him to add a
small square extension to the "men's" bar, and write "50" inside of it.
To the right of both bars, she asked him to write "250," indicating the
full value of both, together. Looking at this pictorial, she started to
solve the problem without pen or paper: She verbally subtracted 50 from
250, and asked him to write the "200" on the board, to the left of the two
empty bars, indicating their combined value. Then, she divided 200 by two,
and announced there are 100 women in the class, and 150 men.
"I
don't know where Singapore is," she said, "but I like the way they do math."
Some
teachers were initially skeptical. Steve Keating, a veteran math teacher
who teaches seventh grade, says he has lived through a host of new math
approaches, including the "new math" craze in the 1970s. "My first thought
was, here we go again," he says, referring to the Singapore method.
He
was especially taken aback by the textbook. By grades seven and eight, kids
in the Singapore program are doing high-school-level algebra. "I thought,
wow, that's complicated -- even for me," says Mr. Keating. He was eventually
won over when he saw how enthusiastic his own students became about math.
The
approach expects a lot of its teachers. Singapore's math program doesn't
come with guides that walk teachers through every step of the class, and
every problem, as many U.S. courses do. Teachers can't flip to the back
of the book for answers. During the first year, Mr. Keating spent two hours
every night preparing the next day's lesson. On his summer vacation he took
math books to the beach. The effort paid off; his students' math scores
improved.
Some
parents also had doubts. Suzanne Carter recalls that her daughter Sarah,
who'd always struggled at math, came home and drew bars and rectangles instead
of working on the sums she grew up with.
"I
was frustrated. I had no idea what she was doing," says Mrs. Carter, a sign-language
instructor.
Her
daughter's school, however, doesn't need more convincing. Students at North
Middlesex are already doing better on state exams. Eighth-graders, for example,
scored 75.4 points on this year's state "math proficiency index," up from
63.2 points in 2000. That jump was twice that of the state average -- which
also improved. Other grades improved, but in line with the state average.
Eager
for something more conclusive, North Middlesex recently hired Stanford University's
Hoover Institution to analyze a slew of state and district exams to see
whether a group of 300 students who'd taken one to three years of the Singapore
program were better at math than other students. The study, which is continuing,
found the Singapore math students had "significantly" better computation
skills.
Boston
Public Schools tried the Singapore math books in a few classes at one school
last year, but decided to drop them. The district had adopted another math
program, called the Workshop Model, which promoted group and independent
work activities designed to get kids to think about concepts behind math.
They didn't want to detract from that by experimenting more broadly with
something new, said Ed Joyce, curriculum director for math for Boston Public
Schools.
"I
wouldn't say anything bad about Singapore math, but I would say there's
a lot of programs that would have the same result," he said.
Another
hurdle that could limit the appeal of the Singapore method is the U.S. obsession
with standardized testing. Kids taking Singapore math might be better at
a core set of subjects such as multiplication, fractions, word problems
and algebra, but they may struggle with topics that appear on state tests.
So
North Middlesex supplements the Singapore books with a few extra lessons
in subjects like probability, which are taught in grades four and five in
the U.S. but not until later grades in Singapore.
The
Singapore method continues to attract fans. Inspired by North Middlesex,
20 schools in 12 different districts across Massachusetts are now running
Singapore pilot programs.
William
Carey, principal of Beachmont Elementary school in Revere, a blue-collar
suburb of Boston, last year began offering "Singapore math" in grades one
through four. He reports some early signs of success. Beachmont's grade
four class lagged behind the state average by just 3 percent on this year's
state exam, up from the 8 percent gap between the state and last year's
fourth-grade class.
Beachmont's
success, in turn, has inspired others. Across town, teachers at Garfield
Elementary began to teach math the Singapore way this year. "When something
makes a difference, people notice," says Mr. Carey, the principal at Beachmont.
"Word is starting to spread."
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