Widely Used Math Curricula in U.S. Schools Yield Significantly Different Results

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Mathematica’s Second-Year Report on Mathematics Education Study

Offers Insight on How to Boost Achievement in Early Grades



Debate has long raged about which instructional approaches have the greatest impact on student learning. This has been particularly true in early math where, lacking information about effective programs, educators have waged ideological battles about instructional materials. A new report from a large-scale federal study of four early math programs shows that math achievement for the two most effective curricula was significantly higher than that for the others. The report, the second from the study, provides additional evidence to inform the debate on which instructional approaches do the most to improve learning. The four distinct programs represent some of the most widely used approaches to teaching elementary school math in the United States. (Brief descriptions of curricula.)


The report, just released by the U.S. Department of Education’s Institute of Education Sciences, updates and reinforces previous findings that two programs significantly outperform the others in randomized trials. Researchers from Mathematica Policy Research and its subcontractor SRI International evaluated each curriculum for its effect on first- and second-grade math achievement. The main findings include:




  • Among first-graders, math achievement was significantly higher in schools assigned to Math Expressions than in schools assigned to Investigations in Number, Data, and Space (Investigations) and Scott Foresman-Addison Wesley Mathematics (SFAW). The effect is strong enough that an average-performing student’s percentile rank would improve by 5 points.

  • Among second-grade students, math achievement was significantly higher in schools assigned to Math Expressions and Saxon Math than in schools assigned to SFAW. The effect is equivalent to improving an average-performing student’s percentile rank by 5 to 7 points.


In addition, Math Expressions and Saxon Math improved results for several subgroups, including students in schools with low math scores and students in schools with high poverty levels.


“These findings suggest that educators should choose their elementary math curriculum wisely,” says Roberto Agodini, senior economist and associate director at Mathematica who served as the study’s director and principal investigator. “As we continue to grapple with how to boost math achievement during the critical early years, particularly among disadvantaged students, this study offers compelling evidence to inform future research and help educators make decisions about which curricula best suit their needs and environment.”



Study Design and Implementation

The Mathematica study, the largest of its kind ever to use an experimental design to study a variety of math curricula, includes a total of 110 schools. This report is based on the first cohort of 39 schools that joined the study during the 2006-2007 school year and another cohort of 71 schools that joined the study during the 2007-2008 school year.


The research team that produced the report, “Achievement Effects of Four Early Elementary School Math Curricula: Findings for First and Second Graders,” randomly assigned schools in each participating district to the four curricula. The sites are geographically dispersed in four states and three regions of the country. All teachers received training from the publishers and used the curriculum regularly throughout the school year to confirm that teachers were using the curricula as intended.



The final report will be available in summer 2011.

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