October 1997
Dear School Board Chair:
The American public is focused as never before on education, and on the need to ensure that no student is left behind in mastering basic and advanced skills, especially in reading and math. As a school board member, you are in the position to develop policies that articulate clearly what students should know and be able to do in your schools. Also, you have the forum to engage your school district leadership and staff, as well as the public in an ongoing dialogue about these expectations.
I am writing to make you aware of vital information that you can use to inform your efforts and I am also sharing it with other educational leaders. The Third International Mathematics and Science Study (TIMSS), the most thorough international study of math and science education ever conducted, provides important information comparing the performance of a half million students, including 33,000 Americans, at levels corresponding to U.S. grades 4, 8, and 12. We now have the results for the fourth and eighth grades.
TIMSS shows that the achievement of our fourth-grade students is quite high: above the international average in both math and science, and in science outperformed only by Korea. However, by eighth grade, our students are not doing as well, particularly in mathematics. Among the 41 nations participating in TIMSS, U.S. eighth graders score above the international average in science, but below the international average in mathematics.
Our fourth-grade performance in math and science should give us all renewed hope and excitement about the importance and promise of public education in America. However, our poor performance in mathematics at the eighth grade suggests that we must increase our efforts to improve the teaching and learning of this critical subject in the late elementary and middle school years. Information from TIMSS can inform those efforts. TIMSS thoroughly investigated curricula, teaching methods, and other factors that help explain differences in student achievement and found important differences between the U.S. and high-performing nations. Two key differences the study identified are: our expectations for our students and our teaching methods.
- Expectations
. The U.S. expects less of its middle school and junior high students compared to high performing nations. In Germany and Japan, virtually all students in grades five through eight move beyond arithmetic to the foundations of algebra and geometry. In the U.S., students generally are not exposed to these more advanced topics prior to high school. As a result, the content taught in U.S. eighth-grade mathematics classrooms is usually at a seventh-grade level compared to the 40 other nations in the TIMSS study.
- Teaching
. TIMSS found that U.S. mathematics classes require students to engage in less high-level mathematical thought and solve fewer multistep problems than classes in Germany and Japan. A U.S. mathematics teacher's typical goal is to teach students how to do something, while a Japanese teacher's goal is to help them learn these basics and also understand mathematical concepts. In a typical U.S. classroom, students follow the teacher as he or she leads them through solutions to mathematics problems. In Japan, students are asked to solve problems, present them to the class, and describe how they approached the problem to increase their own understanding.
A full summary of TIMSS fourth- and eighth-grade findings related to mathematics is attached, along with information on useful materials for parents, teachers, and school district leaders based on TIMSS. This new research can inform the work of school boards: the reports you commission, the questions you ask, and the policies you adopt. For example, school board members can:
- examine whether the curriculum in grades five through eight in your district includes significant amounts of algebra, geometry and complex problem-solving;
- ask what percent of students have the opportunity to take algebra or a similarly demanding course in eighth grade, and how that percentage can be increased to near 100 percent;
- ask administrators about instructional practices, such as how often students are asked to solve multistep problems, to explain their solutions to the class, and to answer the question, "Why?"
Another important way to use TIMSS is to look at the specific questions on the fourth- and eighth-grade tests, examples of which are attached. These questions are concrete examples of what internationally competitive standards look like. They allow you to determine whether students in your community can meet this standard, or even perform as well as the U.S. average.
In 1999, your district has the opportunity to participate in a voluntary national test of mathematics at grade eight that will provide individual student scores, and will be linked to the National Assessment of Educational Progress (NAEP) and to TIMSS. Participating in this mathematics test will tell you how your students are doing compared to students in other states and other nations. There will also be a voluntary national test in reading at grade four -- another critical subject.
It is clearer than ever that mathematics proficiency is a gateway to college, productive employment and civic participation. In order to succeed in the world they will inherit from us -- a world of great complexity, opportunity, and uncertainty -- all U.S. students will need to perform at world-class levels. We encourage you in your stewardship of your local schools, to share this information with members of your board, and take this opportunity to begin a dialogue with your superintendent, principals, teachers, parents, and others who are concerned about improving our students' achievement.
Yours sincerely,
Richard W. Riley