The goal of this research was to examine fifth graders' understanding of fractions on the number line. This case-study design focused on the various ways that students represented fractions on number lines. Students responded to task-based interview questions by identifying fractions as a number on the number line as well as equivalency and…

Developing an understanding of fractions is critical and is an educational focus, as reflected in national standards and principles. This study conducted a quantitative synthesis of 22 experimental studies to investigate the overall efficacy of previously conducted fraction interventions compared to standard instruction. Instruction type and…

Opportunities for practice play a critical role in learning complex behaviors. In the context of explicit mathematics instruction, practice facilitates systematic opportunities for students with mathematics difficulties (MD) to learn new mathematics content and apply such knowledge and skills to novel mathematics problems. This study explored…

The aim of this paper is to examine the range of mathematical abilities of children in Autism Spectrum Disorders. Recent neuroimaging and cognitive studies propose that a particular cognitive pattern which seems to be present in people in the autistic spectrum could be beneficial for the emersion and the development of Savant skills or in the…

School climate is a malleable construct that schools or districts can utilize to target the individualized needs of specific groups of students. The purpose of this study was to examine the relationship between perceptions of different school climate dimensions and reading and mathematics achievement scores for elementary school students of…

Opportunities for practice play a critical role in learning complex behaviors. In the context of explicit mathematics instruction, practice facilitates systematic opportunities for students with mathematics difficulties (MD) to learn new mathematics content and apply such knowledge and skills to novel mathematics problems. This study explored…

To improve students' mathematics achievement, their errors should be treated as an opportunity to stimulate conceptual and procedural understanding. Using a teaching scenario, this study investigated 40 high school teachers' analyses of and responses to a student error(s) in solving a quadratic equation by using the factoring method. The teachers'…

Background: Breakfast after the bell (BAB), an alternative way to deliver breakfast after the school day begins, has been shown to increase participation in the School Breakfast Program. However, BAB occupies time that could otherwise be used for instruction and may affect academic performance. This study examined whether BAB affects math and…

This paper presents results of a score interpretation study for a computer adaptive mathematics assessment. The study purpose was to test the efficacy of item developers' alignment of items to Range Achievement-Level Descriptors (RALDs; Egan et al.) against the empirical achievement-level alignment of items to investigate the use of RALDs as the…

This study aims to examine the effect of the "Number and Operation Training Program" on early mathematics ability and mother-child relationship at home. In an experimental design, pre-test, post-test, permanence test were used with control groups. A total of 21 children and their mothers participated in the research; consisting of 13…

This paper reports on initial findings from the Visible Maths Pedagogy research project, a collaboration between an academic researcher and two teacher researchers (the paper's authors). The aim of the project was to explore the effects of making pedagogy more visible on students' success in school mathematics. We adopted a Participatory Action…

Low completion rates of math courses pose a major challenge for community college students' educational progress and outcomes. Contextualized instruction has been identified as a promising approach to removing some of the longstanding barriers within math teaching and learning. Still, the empirical base on this topic remains small, with…

The current study investigated the effects of school mobility on the academic achievement of different racial/ethnic groups in four cohorts of students from a very large urban school district. In this study, I compared within-year and between-year mobility and, most importantly, account for all the schools students attended over the study period.…

Rational number knowledge is a crucial feature of primary school mathematics that predicts students' later mathematics achievement. Many students struggle with the transition from natural number to rational number reasoning, so novel pedagogical approaches to support the development of rational number knowledge are valuable to mathematics…

Mathematics self-efficacy is considered an important variable in mathematics education because of its links to mathematics achievement. This paper reports on the development of the "Self-efficacy-effort in Mathematics Scale" (SEEMS), an instrument that has strong theoretical and psychometric properties. Based on a sample of n = 224…