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St. John’s Cross-Cultural Study: U.S. Students’ Limited Math Comprehension Attributable to Inadequate Teaching

November 09, 2006

Associate Professor of Psychology Zheng (Jenny) Zhou, Ph.D., and colleagues from Columbia University and Beijing Normal University recently cited evidence suggesting that poor math skills among U.S. elementary school students are partially attributable to inadequate teaching ability. The study, which measured and compared teaching efficacy in U.S. and Chinese public elementary schools, was published in the October issue of Contemporary Educational Psychology.

“In order for kids to grasp mathematical concepts, the teachers need to first have a deep understanding of the subject domain, and that’s not happening right now,” says Zhou.

Conducted over the course of two years, the study examined 162 third-grade math teachers in the United States and China. At the time of data collection, each teacher was engaged in lessons introducing students to rational numbers and fractions. Teachers were evaluated based on their knowledge of subject matter (comprehension of rational numbers), pedagogical content (ability to communicate subject matter in comprehensible way) and general pedagogy (ability to adhere to psychological and pedagogical theories and applications).

Results suggested that American third-grade teachers have a low comprehension of basic fraction concepts; resort to ineffective strategies to solve fraction word problems; and have limited ability to teach students about fractions.

After being evaluated in the area of subject matter knowledge, American teachers earned an average score of 30%, compared to the Chinese teachers’ average score of 95%.

Zhou says that although U.S. and Chinese teachers use many of the same methods — such as paper-folding and pencil-shading to help students learn fractions — the methods in Chinese schools “are more sophisticated, and the overall approach is more systemized.” Zhou also points out that Chinese teachers exhibit a deeper understanding of “longitudinal curriculum”; knowledge of what students have already learned and stand poised to learn throughout their elementary school careers.

“This study shows that every culture brings something different to the table of education, and educators can learn from each other,” says Raymond DiGiuseppe, Ph.D., Professor and Chair of the Department of Psychology.

Significant research has sought to solve the problem of flagging math scores earned by U.S. students, especially when compared to a reverse trend exhibited in many Asian countries. Scholars have focused primarily on cultural differences in math curricula, societal expectations, time spent in the classroom and number systems. But relatively few studies have examined teaching expertise.

According to Zhou, there is a lack of emphasis placed on subject knowledge (i.e. math) in education degree programs offered by American colleges and universities. Zhou says many American math teachers were not required to study math in college and often rely solely on math courses they took in primary and secondary school when planning their lessons. Because of this trend, Zhou says that U.S. teaching programs should adopt apprenticeship and mentorship requirements and implement videotape review sessions (between novice teachers and experts) in order for the country to recapture a respectable reputation in the math world.

“Mass teaching reform has been going on for decades, and the data show students are still performing poorly,” says Zhou, who has published more than a dozen cross-cultural studies on mathematical reasoning and teaching. “As employer demand for workers skilled in mathematics increases with the global market, American teachers will need to be better prepared in this subject area if the U.S. hopes to remain competitive in the world economy.”
 
Zhou is a former recipient of research grants from the Fulbright Scholar Program, the National Science Foundation and the U.S. Department of Education. She serves on the editorial boards of School Psychology International, School Psychology Quarterly and Psychology in the Schools.