Context: The use of educational technology for improving K-12 math education has expanded dramatically recently. ASSISTments (Heffernan & Heffernan, 2014), a widely used digital platform, has seen its use in schools increase significantly from 800 to 20,000 teachers over the past two years. A review of evidence-based online programs by the…

Background: Persisting after experiencing difficulty allows students to work in the upper ends of their zones of proximal development, where most learning occurs (Ventura et al., 2013; Vygotsky & Cole, 1978). Digital educational games promote productive persistence by allowing students to repeat the same or similar problems until they reach…

Ratio and proportional relationships, along with the interrelated topics of fractions,decimals, and percent, provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Proportional reasoning, which not only requires understanding the concept of ratios and that two or more ratios are equal, also requires the ability to…

Ratio and proportional relationships, along with the interrelated topics of fractions, decimals, and percent provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Solving even simple proportion problems is challenging for many children and adolescents. A small number of studies have examined the efficacy of…

The purpose of this study was to replicate and extend the study of the schema-based intervention (SBI) conducted by Jitendra et al. (2015) that demonstrated impact in proportional problem solving for a homogeneous sample of Upper Midwest students and teachers who were predominantly White and middle class. This study was replicated in two…

Mastering mathematics is important for all students, not only because such success increases college and career options and prospects for future income, but also because mathematics literacy helps citizens and policy leaders to make sound judgments (NMAP, 2008). Research suggests that the rural achievement gap can be addressed with modifiable…

Feedback is a ubiquitous learning tool that is theorized to help learners detect and correct their errors. The goal of this study was to examine the effects of feedback in a classroom context for children solving math equivalence problems (problems with operations on both sides of the equal sign). The authors worked with children in 7 second-grade…

To raise math success rates in middle school, many schools and districts have implemented summer math programs designed to improve student preparation for algebra content in grade 8. However, little is known about the effectiveness of these programs. While students who participate typically experience learning gains, there is little rigorous…

Ratio and proportional relationships are of primary importance during the upper elementary and middle school grades (Kilpatrick, Swafford, & Findell, 2001; National Council of Teachers of Mathematics, 1989, 2000; National Mathematics Advisory Panel [NMAP], 2008). These relationships, along with the interrelated topics of fractions, decimals,…

Classroom observation protocols, in which observers rate multiple dimensions of teaching according to established protocols (either live in the classroom, or post-hoc from lesson videos), are increasingly being used in both research and policy contexts. However, scores generated from these protocols have many sources of error. Day to day variation…

In a typical mathematics course, the material is divided into many lessons, and each lesson is followed by an assignment consisting of practice problems. Most commonly, each assignment consists solely of problems on the preceding lesson. For example, a lesson on ratios might be followed by an assignment with 12 problems on ratios. In other words,…

The UChicago Consortium on School Research has been surveying students, teachers, and principals in the Chicago Public Schools (CPS) since 1991 using what is now known as the 5Essentials surveys. The developers categorized and grouped survey measures into what they refer to as "The Five Essentials for School Improvement." The value of…

High-quality measures of instructional practice are essential for research and evaluation of innovative instructional policies and programs, as well as for providing feedback to teachers and administrators. In this study, the authors examined whether using anchoring vignettes in web-based surveys improved the validity of teachers' self-assessments…

Teacher evaluation is currently a major policy issue at all levels of the K-12 system driven in large part by current US Department of Education requirements. The main objective of this study is to explore the patterns of relationship between observational scores and value-added measures of teacher performance in math classrooms and the variation…

This paper describes the PD program that was delivered during the first year of the study. The main goal of the intervention was to increase teachers' capability to teach positive rational number topics effectively. The program included a 3-day summer institute (18 hours per teacher), five 1-day seminars held during the school year (30 hours per…