Background/Context: As part of a national movement to eliminate a global tracking system that disproportionately assigned underserved students to low-level math classes, the Chicago Public Schools (CPS) mandated academic algebra for all students entering high school in 1997. The results were disappointing: low-skill students experienced elevated…

Background: Over the past decade, schools across the United States increasingly turned to online learning (Gemin, Pape, Vashaw, & Watson, 2015; Queen & Lewis, 2011). While many espouse the promise of online credit recovery (OCR) courses, the abrupt shift to online learning during the COVID-19 pandemic renewed concerns about theses courses'…

Background: In fourth grade, students must solve single- and multi-step word problems during classroom instruction and on standardized tests. The majority of mathematics items on high-stakes assessments are word problems; thus, word-problem proficiency is necessary to demonstrate successful mathematics performance. However, many students are…

Background/Significance: College algebra traditionally serves as the default math requirement for community college students. Lattimore and Depenbrock (2017) reported that approximately two-thirds of community college enrollees are required to take this course, yet nearly 80% fail to complete it, making it "the single most failed course in…

Background. Placement in developmental education in college is associated with negative effects on credits earned, course achievement, and degree attainment (Valentine, Konstantopoulos, & Goldrick-Rab, 2017) and requires substantial investments with costs to students and institutions estimated at $1.3 and $7 billion (Ganga, Mazzariello &…

Use of online credit recovery is a growing trend across the country, with the hope that expanding credit recovery options through online courses will help students get back on track toward graduation (e.g., Atkins, Brown, & Hammond, 2007; Gemin, Pape, Vashaw, & Watson, 2015). But expanded use of online credit recovery for high school…

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…

Enrollment in eighth-grade algebra doubled from the 1990s to 2012 (National Center for Education Statistics, 2013) as research demonstrated that Algebra I operates as a "gateway" to advanced mathematics courses in high school (Adelman, 2006), and that students who succeed in Algebra I in middle school have more success in mathematics…

Background: This paper considers a new policy and statistical framework for evaluating K-12 schools and policies that aligns with diversity, equity, and inclusion values. The new approach broadens the standard approach to accountability and evaluation by combining features of evaluation and multi-level growth models with approaches used in systems…

The information provided in this report shows how students perform when they repeat algebra I and how the level of improvement varies depending on initial course performance and the academic measure (course grades or CST scores). This information can help inform decisions and policies regarding whether and under what circumstances students should…

Background/Context: High school mathematics attainment has significant consequences for postsecondary and labor market outcomes (Altonji, 1995; Dougherty et al., 2017; Goodman, 2019; Kim, 2018; Long et al., 2012) yet enrollment in advanced courses (i.e., those requiring completion of Algebra II) is starkly stratified by race, class, and ethnicity…

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…

Middle school math placement and progression are topics that are part of an active policy and practice discussion in California and elsewhere. Beginning in the 2008/09 school year, California's State Board of Education recommended that students complete algebra I by the end of grade 8. Between 2003 and 2009 the proportion of grade 8 students…

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…

Proportional thinking, which requires understanding fractions, ratios, and proportions, is an area of mathematics that is cognitively challenging for many children and adolescents (Fujimura, 2001; Lamon, 2007; Lobato, Ellis, Charles, & Zbiek, 2010; National Mathematics Advisory Panel [NMAP], 2008) and "transcends topical barriers in adult…