Attending to students' thinking and using it to inform instruction has been shown to be an effective and equitable teaching practice. Research on teachers' noticing of thinking conceptualizes noticing as a cognitive process, while work on noticing for equity treats noticing as culturally situated but primarily focuses on participation. Drawing on…

Mathematics is often taught by explaining an idea, then giving students practice in applying it. Tutoring systems can increase the effectiveness of this method by monitoring the students' practice and giving feedback. However, math can also be taught by having students work collaboratively on problems that lead them to discover the idea. Here,…

How should schools assign students to more rigorous math courses so as best to help their academic outcomes? We identify several hundred California middle schools that used 7th-grade test scores to place students into 8th-grade algebra courses and use a regression discontinuity design to estimate average impacts and heterogeneity across schools.…

As institutions strive to improve teaching and learning for all, educators must consider equitable instruction. This includes equitable distributions of authority and agency among students. The authors define distribution of authority as shared opportunities for decision-making in enacting mathematical tasks and agency as the power to carry out…

Researchers use data from the RAND American Mathematics Educator Study surveys of public school principals and teachers to investigate three school structures--referred to as "school opportunity structures" throughout this report--that may affect kindergarten through 8th grade (K-8) students' mathematics learning. These structures are…

The overall aim of the Effective Implementation Cohort (EIC) investment is to increase district capacity to implement a high-quality middle years math curriculum as part of a Coherent Instructional System (CIS) to accelerate learning for students who are experiencing poverty, Black, Latino/a, and/or English Learner (EL)-Designated ("priority…

Using an ecological approach to trauma-informed care and radical healing, this case study explores how one Title I public middle school mathematics classroom offered students opportunities to engage in healing practices through the use of Social Justice Mathematics. Findings indicate that students identified their emotions, engaged in structural…

The sample of this study consisted of 1,077 eighth grade students and 442 eighth grade teachers from nine states--Alabama, California, Connecticut, Colorado, Florida, Indiana, Massachusetts, Minnesota, and North Carolina during the TIMSS 2011 study. The instrument used to measure student and teacher self-efficacy, student task value, and teacher…

Current educational policies in the United States attempt to boost student achievement and promote equality by intensifying the curriculum and exposing students to more advanced coursework. This paper investigates the relationship between one such effort -- California's push to enroll all 8th grade students in Algebra -- and the distribution of…