A solid understanding of fractions is the cornerstone for acquiring proficiency with rational numbers and paves the way for learning advanced mathematical concepts, such as algebra. Fraction difficulties limit not only students' educational and vocational opportunities but also their ability to solve everyday problems. Students who exit 6th grade…

In this article, the authors summarize results from 5 randomized controlled trials assessing the effects of intervention to improve the fraction performance of fourth-grade students at risk for difficulty in learning about fractions. The authors begin by explaining the importance of competence with fractions and why an instructional focus on…

Teachers of elementary mathematics face multiple, convergent demands. These demands include supporting the growing population of English language learners (ELLs) and facilitating mathematical discussions across relevant curricular contexts. The authors used a comparative case study to examine how two teachers attempt to facilitate discussions…

School-based improvement programs represent a core strategy in improving education because they can leverage pre-existing social and organizational structures to promote coordinated and comprehensive change across multiple facets of schooling. School-based programs are generally designed to be implemented by intact schools/districts, frequently…

The current article presents additional analyses of a classwide mathematics intervention, from a previously reported randomized controlled trial, to offer new information about the treatment and to demonstrate the utility of different types of effect sizes. Multilevel modeling was used to examine treatment effects by race, sex, socioeconomic…

The purpose of this set of analyses, conducted on a randomized control trial examining the effects of a fourth-grade fraction intervention, was to assess the initial academic deficit severity hypothesis. With this hypothesis, at-risk students with more severe initial academic deficits are expected to profit less from intervention than do students…

The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multicomponent fraction…

The Common Core State Standards (CCSS) have been developed in response to the criticism that students in the U.S. are graduating from high school without being college and career ready and that they are falling behind their counterparts in other countries in key subject areas. In this work, the authors report the results of an efficacy study that…

This report examines the impact of content-intensive Professional Development (PD) on teachers' math content knowledge, their instructional practice, and their students' achievement. The study's PD had three components, totaling 93 hours. The core of the PD was "Intel Math," an intensive 80-hour workshop delivered in summer 2013 that…

Improving math achievement among U.S. students remains a high priority as results from recent math assessments continue to show room for improvement. For example, 60 percent of fourth-graders scored below the proficient level on the 2015 National Assessment of Educational Progress. On the most recent Program for International Student Assessment's…

Recent results from national and international assessments continue to show a need for improvement in math achievement among U.S. students. For example, 60 per-cent of grade 4 students scored below the proficient level on the 2015 National Assessment of Educational Progress. In an era of increasingly rigorous state standards, teachers at all grade…

This study investigates, through a cluster randomized trial, the impact of "Math in Focus," a core mathematics program modeled after instructional approaches used in Singapore, on third- through fifth-grade students' achievement in mathematics. The program is currently being used in more than 400 school districts in the United States.…

Prior research suggests that summer learning loss among low-income children contributes to income-based gaps in achievement and educational attainment. We present results from a randomized experiment of a summer mathematics program conducted in a large, high-poverty urban public school district. Children in the third to ninth grade (N = 263) were…

Recent work that has examined the impact of what are variously called periodic, interim, benchmark, or diagnostic assessments, typically administered three or four times during a school year, has produced mixed findings. For instance, one study reported small significant effects in mathematics in grades 3-8, but not in reading (Carlson et al.,…

Can providing learner support materials, particularly custom-designed workbooks, improve primary mathematics achievement more cost effectively than providing conventional textbooks? To contribute to this debate, this paper reports on the findings of a study conducted in 2010 by a consortium of educational researchers at JET Education Services and…