The variance formula derived for a two-stage sampling design without replacement employs the joint inclusion probabilities in the first-stage selection of clusters. One of the difficulties encountered in data analysis is the lack of information about such joint inclusion probabilities. One way to solve this issue is by applying Hájek's…

The efficacy of a research-based fraction sense intervention for sixth graders with or at risk for mathematics difficulties (N = 52) was examined. The intervention aimed to build understanding of fraction magnitudes on the number line. Key concepts were taught with a narrow range of denominators to develop deep understanding. The intervention was…

The analysis of variance (ANOVA) is one of the most frequently used statistical analyses in practical applications. Accordingly, the single and multiple comparison procedures are frequently applied to assess the differences among mean effects. However, the underlying assumption of homogeneous variances may not always be tenable. This study…

The efficacy of a research-based fraction sense intervention for sixth graders with or at risk for mathematics difficulties (N = 52) was examined. The intervention aimed to build understanding of fraction magnitudes on the number line. Key concepts were taught with a narrow range of denominators to develop deep understanding. The intervention was…

Many students do not meet expected standards of writing performance, despite the need for writing competence in and out of school. As policy instruments, writing content standards have an impact on what is taught and how students perform. This study reports findings from an evaluation of the content of a sample of seven diverse states' current…

With only 34% of 8th grade students earning a rating of proficient or higher in science education (from the 2011 National Assessment of Education Progress data), much work is needed in our classrooms to achieve the new more rigorous performance expectations found in the "Next Generation Science Standards." For decades, researchers have…

A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible…

Trend estimation in international comparative large-scale assessments relies on measurement invariance between countries. However, cross-national differential item functioning (DIF) has been repeatedly documented. We ran a simulation study using national item parameters, which required trends to be computed separately for each country, to compare…

This report takes a closer look at not just student learning, but also the quality of school conditions that support that learning. There, too, Michigan has troubling weak spots. The state currently ranks 42nd of 47 for funding equity, meaning Michigan has some of the biggest gaps in resources between high-poverty and low-poverty school districts.…

In the past several decades, Boston has been a proving ground for new strategies such as mayoral control, charter schools, and expanded access to early childhood education. Located in a state known for rigorous standards and accountability, Boston Public Schools (BPS) has consistently ranked among the top-performing large public school districts…

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 multi-component fraction…

After passage of the Every Student Succeeds Act (ESSA) in 2015, states assumed greater responsibility for designing their own accountability and assessment systems. ESSA requires states to measure "higher order thinking skills and understanding" and encourages the use of open-ended performance assessments, which are essential for…

This study examines the effectiveness of cooperative reading teaching activities and independent reading activities for English language learner (ELL) students at 4th grade level. Based on simple linear regression and correlational analyses of data collected from two large data bases, PIRLS and NAEP, the study found that cooperative reading…

Javits Gifted and Talented Education Program has provided a wealth of knowledge on culturally and linguistically diverse (CLD) gifted learners and how to support teachers in their work with CLD students. This study examined five impactful Javits projects through qualitative inquiry centered on how innovative practice takes root or not. Using…

Effective writing requires mastering grammar. For journalists, this mastery is critical because research shows poor grammar erodes media credibility. College writing instructors say students do not understand basic grammar concepts, and greater numbers of students are enrolling in remedial writing classes. This quasi-experimental mixed methods…