The adoption of the Common Core State Standards for Mathematics (CCSSM, 2010) in 46 states has raised the mathematical proficiency bar for U.S. students. The advent of these new standards is at a time when the body of empirical evidence on the negative consequences of early and persistent difficulties in mathematics is clear, compelling, and…

Self-belief can directly predict students' academic motivation and achievement. Research indicates that mathematical self-belief often decreases during the middle years of schooling. This study explored the mathematical self-belief development of 15 Year 7 students. Data were gathered from a survey, a mathematics achievement test and interviews.…

Accurate interpretations of large-scale assessment results and sound judgments about students' mathematical literacy depend on these assessments' validity and reliability. One important type of evidence towards this validation is the dimensionality analysis, which explores the conformity between the intended factorial structure (related closely to…

Understanding fractions remains problematic for many students. The use of the number line aids in this understanding, but requires students to recognise that a fraction represents the distance from zero to a dot or arrow marked on a number line which is a linear scale. This article continues the discussion from "Identifying Fractions on a…

A primary goal of standards-based statewide achievement tests is to classify students into achievement levels that enable valid inferences about student content area knowledge and skill. Explicating how knowledge and skills are expected to differ in complexity in achievement level descriptors, and how that complexity is related to empirical item…

The level of test anxiety in mathematics subjects among early undergraduate students at the University of Nottingham Malaysia Campus is studied in this article. The sample consists of 206 students taking several mathematics modules who completed the questionnaires on test anxiety just before they entered the venue for midterm examinations. The…

Rational number concepts underpin many topics in advanced mathematics and understanding these concepts is a prerequisite for students' success in high-school level courses. Students with rational number misconceptions that are not diagnosed and remediated in the middle grades are likely to encounter difficulty in high-school mathematics courses.…

In this article, we present some mathematical tasks designed to support pre-service teachers (PSTs) in obtaining a broader, more connected understanding of decimal numbers and quantities. We describe classroom scenarios from a content course in which PSTs experienced these cognitively demanding decimal tasks, enacted in ways that maintain high…

This paper identifies the strategies Singaporean and Australian students (n = 1,187) employed to solve a 24-item mathematics test. A mathematics-processing framework is proposed, which describes the way primary-aged students successfully process graphic and non-graphic mathematics tasks. There were distinct differences in the way in which the…

"Specific Mathematics Assessment that Reveal Thinking" (abbreviated as "smart tests") provide an on-line formative assessment of middle years students. They aim to put information from research on students' understanding directly into the hands of teachers, by providing quick automated diagnosis of learning for all students in…

This is the revised edition of the 2023 "Report on the Condition of Education," which is a congressionally mandated annual report from the National Center for Education Statistics (NCES). Using the most recent data available (at the time this report was written) from NCES and other sources, the report contains key indicators on the…

The "Report on the Condition of Education" is a congressionally mandated annual report from the National Center for Education Statistics (NCES). Using the most recent data available (at the time this report was written) from NCES and other sources, the report contains key indicators on the condition of education in the United States at…

Although it is often assumed that mathematics ability alone predicts mathematics test performance, linguistic demands may also predict achievement. This study examined the role of language in mathematics assessment performance for children with intellectual disability (ID) at less severe levels, on the KeyMath-Revised Inventory (KM-R) with a…

In this paper, our aim is to examine the effect of project based learning on 7th grade students' mathematical success in "Ratio, Proportion and Percentage" unit and attitudes towards mathematics. This study was implemented with 70 7th grade students of Atatürk Primary School in Eminönü District in Istanbul. Before starting the…

The study was conducted to investigate the challenges in-service mathematics student teachers face in transformational geometry; reflection and rotation. The Van Hiele Theory of levels of Thought was used as the theoretical framework for this study. A case study was undertaken using a written test. The research was carried on second and third…