This study examines the effect varying models have on student understanding of fractions. The study addressed the question of what students know and understand about fractional concepts through the use of discrete and continuous models. A sample of 54 students in kindergarten and 3rd grade were given an interview pretest, participated in…

"Saxon Math", published by Houghton Mifflin Harcourt, is a core curriculum for students in grades K-12. This report includes studies that investigate the potential impact of "Saxon Math" for students in grades 6-8. A distinguishing feature of the curriculum is its use of an incremental approach for instruction and assessment.…

Research on summer learning has shown that children from a higher socioeconomic status (SES) continue to learn during the summer months of elementary school, but lower-SES students tend to stagnate or lose ground. However, not all low-SES students experience summer learning loss. Drawing on the Beginning School Study (BSS), a longitudinal study of…

Independent schools are, for the most part, exempt from mandatory participation in standardized tests designed for state and federal comparisons, nor are they required to take part in comparative international assessments. The anxiety in the broader culture, however, is driving a growing interest among independent school parents (and prospective…

The purpose of the study was to determine the impact of attendance longevity participation in an after school program, attending one and two times or three times weekly for two years, designed to build intentional relationships and support academic success, on urban elementary school students' achievement, attendance, and positive school awards.…

The authors studied more than 1 million Asian American and Pacific Islander (AAPI) and White seventh graders in a statewide California testing program between 2003 and 2008, examining their reading and math achievement. AAPI student performance is often reported as an aggregate in discussions of the success of schoolchildren and issues of racial…

"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…

No significant differences in beginning eighth-grade pretest compared to ending eighth-grade posttest California Achievement Test Normal Curve Equivalent Scores were found for youth at risk who completed a pre-eighth-grade summer academic enrichment program where comparisons for reading vocabulary t(19) = 0.46, p = 0.33 (one-tailed), d = 0.107,…

This study examined whether having a teacher who chose an alternate route to certification (AC) rather than a teacher who chose a traditional certification route (TC) affects the reading and math achievement of elementary school students. The study included about 2,600 kindergarten through fifth-grade students and their 174 teachers. These…

This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…

For a long time, the issue of summer learning has waited in the wings, like a fully prepared understudy, ready to jump in and take the stage should the star need a back-up. Recently, though, summer learning has moved into the spotlight--and at the same time, the script is changing. Instead of memorizing and mimicking the star's lines, summer…

In randomized controlled trials (RCTs) where the outcome is a student-level, study-collected test score, a particularly valuable piece of information is a study-collected baseline score from the same or similar test (a pre-test). Pre-test scores can be used to increase the precision of impact estimates, conduct subgroup analysis, and reduce bias…

Examined 6 widely used grade-8 standardized tests for content, required processes, and level to determine their alignment with the 5-8 NCTM "Curriculum and Evaluation Standards." Concluded that these tests inadequately covered the 5-8 standards. A follow-up study examined items from newly developed and foreign tests to demonstrate the…

Previous research has indicated that a student's attitude toward mathematics has a significant influence upon that student's level of mathematics achievement. Consequently, the promotion of positive student attitudes toward mathematics should be an important goal, not only for the educator, but also for the parents. The purpose of this study was…

A computerized adaptive testing (CAT) algorithm that has the potential to increase the homogeneity of CAT's item-exposure rates without significantly sacrificing the precision of ability estimates was proposed and assessed in the shadow-test (van der Linden & Reese, 1998) CAT context. This CAT algorithm was formed by a combination of…