Singapore Math Demystified!
Can It Help Solve Our Country's Math-phobia?
Editor's
Note: Due to the interest expressed over our previous posts about
Singapore Math and the non-Singaporean-specific classic, "Why Our Kids
Don't Get Math" here,
The Daily Riff is featuring an exclusive original four-part series by
Bill Jackson, Math Helping Teacher, Scarsdale, NY Public Schools, one of
the highest performing districts in the country.
We
asked Bill to share his truly incredible (which is both humbling and
exhilarating) global journey into math education from Singapore to Japan
and back again to the United States in an original series for The Daily
Riff. His posts are becoming classics in the Singapore Math lexicon. - C.J. Westerberg
How I Became Interested In Singapore Math
Part 1
By Bill Jackson
In
1997, I attended a series of workshops on the Third International
Mathematics and Science Study (TIMSS). That study compared math
achievement in over 40 countries in grades 4, 8 and 12. Singapore and a
handful of East Asian countries performed extremely well, much better
than the United States, which had a mediocre performance. I was an 8th
grade teacher at Public School No. 2 in Paterson, New Jersey at the
time.
At the workshop we watched videotapes of mathematics
classrooms from Japan, Germany and the U.S. The U.S. lesson looked very
familiar. The teacher showed his students how to do a procedure and then
they practiced while the teacher helped individual students. The
Japanese lesson looked very different, however. The teacher began the
lesson by posing a rich problem. Then the students solved the problem
based on what they had learned previously and shared different solution
methods. Important mathematical points of the lesson were brought out
through class discussion of the various methods. The students looked
very engaged and they even clapped for each other. After watching the
video, I felt that my students were getting shortchanged and I became
determined to learn how to teach like that Japanese teacher!
Making
this change, however, would not be easy. The lessons in the heavy 600+
page textbook we were using did not begin with problem solving. In fact,
the
word problems were the last thing on the page and often times we
were so busy practicing procedures that we didn't even get to them. I
decided to teach my lessons backwards by posing one of the word
problems at the bottom of the page and then asking the students to solve
it, share and discuss their methods. I explained to my students what I
was trying to accomplish and even showed them the TIMSS videotapes. I
was amazed at how quickly they adjusted to the new methodology and how
engaged they were.
They were actually starting to like math. They even began to clap for each other after they presented their solutions!
I
soon realized, however, that there was much more to good math teaching
than merely imitating the steps of the Japanese lesson. I got involved
in a math study group begun by our principal to study the TIMSS data,
read books and articles, and explore how to improve mathematics
instruction. This led in 1999 to a partnership with
researchers from Teachers College and a
Japanese school in Greenwich, CT to conduct
lesson study,
a process where groups of teachers plan, observe and discuss actual
classroom lessons. I also traveled to Japan to observe mathematics
classes and learn about the Japanese school system.
When I began working with the Japanese teachers, I soon realized three important reasons why they were such good math teachers:
(1)
They had a high level of math content knowledge. In fact, I felt that
their first grade teachers knew more about math than I did as an 8th
grade teacher!
(2) They used thin, lightweight paperback textbooks that were much more focused and coherent than our heavy hard cover books.
(3) They continually worked to improve their teaching throughout their careers by conducting lesson study.
We
began conducting lesson study at our school but we found that it was
difficult to develop engaging and focused lessons like the Japanese
teachers taught because of our unfocused textbooks. This led us to the
Primary Mathematics textbooks from Singapore. Like the Japanese textbooks they were thin and lightweight and
addressed fewer topics per year with depth and coherence. They were also very kid friendly with simple cartoon drawings that highlighted important mathematical ideas.
One
of the things we liked the most about them was a very effective method
to solve complex problems using pictorial diagrams called bar models.
In
2000, we decided to adopt Singapore's Primary Mathematics (Third
Edition) textbooks in grades K-8. The books used British spellings and
had strange foods like durians and rambutans, but these things did not
impede students' understanding of the mathematics. Later we switched to
the
Primary Mathematics U.S. Edition, which used American English and included customary measures. For kindergarten we used
Earlybird Kindergarten Mathematics and in grades 7 and 8 we used
New Elementary Mathematics.
With
the adoption of Singapore math textbooks combined with lesson study,
math teaching began to improve at our school. But there were also
challenges. We realized that in order to teach Singapore Math
successfully we needed to improve our mathematical content knowledge so
we invited knowledgeable others to conduct workshops for teachers. We
also realized that our math content knowledge was improving just by
teaching lessons from the textbooks and later found out that the
textbooks were designed so teachers could acquire this knowledge since
Singaporean elementary teachers are generally not math specialists. I
also came out of the classroom to become the school's math facilitator.
In small group meetings, we conducted lesson study, studied the
textbooks, and solved problems together using bar models.
I'll
never forget the time we were solving a difficult 6th grade problem with
first grade teachers and one teacher jumped up a shouted excitedly, "I
got it!" She was so excited that she was finally getting it after not
having a good mathematics learning experience herself as a child. The
lesson study process was instrumental in allowing us to study the
materials together and discuss how to craft good lessons.
In 2008, I left the Paterson school district and was hired by
Scarsdale Public Schools as one of three district wide Math Helping Teachers to help facilitate the adoption of Singapore Math. Scarsdale is using the
Primary Mathematics Standards Edition textbooks.
It
is interesting to me that Scarsdale, one of highest performing and most
innovative school districts in the country, has adopted Singapore Math.
Before making the decision, they spent time researching and piloting
the program. They concluded that even though their students were doing
well already in comparison to most students nationwide,
they needed to continually improve mathematics instruction.
This was a very wise decision in my opinion and the implementation has
been very successful. Teachers, students and parents are enthusiastic
about the program and many groups of teachers have also conducted lesson
study. One Scarsdale fifth grade teacher said, "Primary Mathematics has
given me the opportunity to love teaching math. In turn, my students
love math and impress me everyday as they become incredible
mathematicians."
That's all for now. In future posts I will
discuss Singapore Math in more detail, including the philosophy of the
program, problem solving methods, and tips for successful
implementation.
Bill Jackson