Integer arithmetic is difficult for students worldwide. Although students' integer thinking has frequently been studied, little is known about typical instructional practice for this difficult topic. Thus, to investigate what resources teachers use, we surveyed U.S. middle-grade teachers who teach negative numbers. About half the teachers said…

There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…

Many teachers use problems set in real or imaginary contexts to make mathematics engaging, but these problems can also be used to anchor conceptual understanding. By constructing an understanding of mathematical ideas through solving problems in contexts that make sense to students, they have a better chance of actually understanding those…

Data-based individualization (DBI) is a framework that allows educators to make timely and informed decisions about student progress in academics or behavior. In this article, we focus on the DBI framework as applied to math intervention within a tiered support model for students experiencing math difficulty. We review how DBI starts with an…

This qualitative study examined educators' perceptions of motivational strategies influencing and motivating middle school students to comprehend and perform in mathematics courses. This study used interview data from 15 participants with 2 to 30 years of teaching experience. Educators may utilize this information in multiple settings within the…

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…

The problem addressed through this study is the inconsistent use of mathematics educational technology tools in middle school mathematics courses in the United States. The problem was important to address because inconsistent use of mathematics educational technology tools may impact student performance. The purpose of this basic qualitative study…

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…