Developing both conceptual and procedural knowledge is important for students' mathematics competence. This study examined whether U.S. Grade 9 general education mathematics teachers' self-reported use of concept-focused instruction (CFI) and procedure-focused instruction (PFI) were associated differently with ninth graders' algebra achievement…

This latent class analysis study used a bias-adjusted three-step approach to empirically identify mutually exclusive clusters of teacher professional qualifications based on commonly studied indicators of teacher quality. We then examined the relationship between cluster membership and the mathematics gains of adolescents at risk for mathematics…

Cara, a seventh-grade student with learning disabilities (LD) in mathematics, believes that the ratio 2:3 is equivalent to 4:5 because there is a difference of one between the two numbers in each ratio and there is a difference of two between corresponding numbers in the two ratios (2 + 2 = 4 and 3 + 2 = 5). This misconception affects her ability…

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills. This article examines the importance of…

The aim of this study was to examine prospective mathematics teachers' proof processes for algebraic concepts. The study was conducted with 10 prospective teachers who were studying at the department of secondary mathematics teaching and who volunteered to participate in the study. The data were obtained via task-based clinical interviews…

Many students in the United States are graduating from high school without the math skills they need to be considered college ready. For many of these graduates, who find themselves starting their higher education at a community college, remedial math can become an insurmountable barrier that ends their aspirations for a degree or certificate.…

This quasi-experimental study examined the effect of self-instruction strategy on the achievement in algebra of students with learning difficulty in mathematics. Two research questions and one null hypothesis were formulated to guide the study. The study adopted a non-randomized pre-test and post-test control group design with one experimental…

Many students who struggle with basic mathematics courses benefit from digital instructional technologies, including additional visual and supplemental materials on difficult concepts and skills. Currently, the intelligent tutoring technology feature in the learning management system (LMS) should make it easier for students to deal with material…

Novice students at the university encounter many difficulties, linked with the secondary-tertiary transition. But what does "transition" mean exactly? We consider it here from an institutional point of view, which leads us in particular to distinguish between two types of transition. We propose a specific perspective, and apply it to the…

A study involving 80 undergraduates with deafness enrolled in first-year algebra courses found students were more likely to miscomprehend a relational statement and commit a reversal error when the required arithmetic operation was inconsistent with the statement's relational term. Reading ability influenced performance, and errors decreased as…

High school students continue to struggle in algebra, especially in large inner-city schools with underprivileged students. Students are not the only ones skirmishing with algebra. Teachers and school leaders are just as frustrated as they search for answers to complex teaching and learning problems. Two high school principals report the results…

Math Notebook is a publication issued 10 times a year, with each issue focusing on a particular learning problem in mathematics and its diagnosis and remediation through practical, workable strategies for use by teaches, parents, and tutors. All the articles were written by Mahesh C. Sharma, with the exception of "The Japanese Soroban," by Frances…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…