As the population of emergent bilingual students in the United States continues to grow, it has become increasingly important to ensure that content area instruction is linguistically and culturally inclusive and accessible. Longitudinal survey and state mathematics assessment data were used to examine how the use of students' home language in the…

Effective personalization of education requires knowing how each student will perform under certain conditions, given their specific characteristics. Thus, the demand for interpretable and precise estimation of heterogeneous treatment effects is ever-present. This paper outlines a new approach to this problem based on the Leave-One-Out Potential…

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…

It is seen that there are few studies on the role of the knowledgeable other when the literature on Lesson Study [LS] is examined. However, for LS to be better understood and applied in different cultures, the role of the knowledgeable other in LS process should be clarified. This study aimed to determine the role of the researcher as the…

Emergent graphical shape thinking (EGST) involves interpreting or constructing a graph as dynamically generated, which is useful across science, technology, engineering, and mathematics fields. Although evidence suggests that students as young as middle school can engage in EGST with support, other research indicates most college students and U.S.…

Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…

Enhancing understanding is crucial for "all" students. Instructional approaches have been developed to achieve this goal, yet little is known about the kind of support that teachers need for their effective implementation. We compare two support conditions designed to enable teachers to enhance students' understanding of the mathematical…

This study aims to explore the effectiveness of collaboration between the Teaching at the Right Level (TaRL) approach and the problem-based learning (PBL) model in improving student learning outcomes at junior high school and senior high school levels. TaRL is a method that emphasizes learning tailored to students' individual ability levels, while…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

This study addresses the need to better describe instructional strategies used by middle grades mathematics teachers. After coding 177 videos of grades 6-8 mathematics instruction for indications of effective instructional practices, we further analyzed 8 of the highly scored videos with specific attention to teachers' implementation of strategies…

Recent literature justifies the use of virtual learning in supporting middle-grades students' mathematical knowledge development and emphasizes the critical role of motivation in learning (Lo & Hew, 2020; Murphy et al., 2020; Spitzer & Musslick, 2021). Intrinsic and extrinsic motivation both play a role in learning for middle-grades…

This article reports on a project implemented to help middle school teachers provide evidence-based instruction and intervention to students with mathematics learning disabilities (MLD) and mathematics difficulties (MD). Multiple sources--interviews, surveys, and field notes from formal and informal observations--were used to gather data on…

This study reports on the design and implementation of an equity-focused, project-based algebra curriculum in two advanced eighth-grade classrooms. We document with substantial detail a promising approach to capturing how students demonstrate and build robust mathematical understandings in ways that strongly connect to equity issues. We illuminate…

Historically, secondary students with Emotional/Behavioral Disorders (EBD) have made poor progress in mathematics putting them at-risk for school failure. One mathematic area that students with EBD have difficulties in is solving word problems. The purpose of this exploratory study was to examine the effects of schema-based instruction on…

Fraction knowledge is an essential building block for successful completion of advanced mathematics courses and linked to the development of algebraic understanding. Many students, especially those with disabilities, experience significant difficulties developing fraction knowledge. Intensive fraction interventions have been shown to be effective…