The purposes of the study reported herein were to identify the common mistakes in geometry made by junior secondary school students in Hong Kong, and to compare the students' performance in geometry with their results in a logic test. A geometry test and a logic test were developed and administered to a sample of 554 students aged between 13 and…

This study used semi-structured interviews with staff in 14 secondary schools in England to explore strategies for entering students to GCSE Mathematics, focusing on the use of early and multiple examination entry. The key findings suggest that teachers were keenly aware of performativity pressures and that this prompted the use of a number of…

Introduction: In secondary education, students' low achievement and engagement in mathematics are closely related to their attitudes towards the subject. Despite the international body of research, an exhaustive literature review of the existing instruments for measuring it draws attention to the inconsistency in the definition and corresponding…

This paper presents results from an examination of the relationships between high school (HS) school day length and 2011 New Jersey High School Proficiency Assessment (HSPA) Math and Language Arts Literacy test results. Variables found to have an influence on standardized test scores in the extant literature were evaluated and reported.…

A brick wall provides a fitting description of what happens when teachers try to teach a concept for which students are unprepared. When students are unsuccessful academically, their foundational knowledge may be missing, incomplete, or incorrect. As a result, students "hit a brick wall," and their academic progress stops because they do…

Drawing inferences about the extent to which student performance reflects instructional opportunities relies on the premise that the measure of student performance is reflective of instructional opportunities. An instructional sensitivity framework suggests that some assessments are more sensitive to detecting differences in instructional…

IN 1959, six years before he authored the study that would remake America's segregated public schools, James S. Coleman found himself face to face with a very different foe: the inscrutable desires, evolving tastes, and secret motivations of the post--World War II American teenager. At the time, Coleman was head of Johns Hopkins University's…

Many are concerned with potential learning loss that can occur during the summer break. This is of particular concern for underserved populations of elementary school children. This paper describes a summer school program that was designed to serve one of these populations as well as its effects on the retention and learning of mathematics…

Drawing on expectancy-value theory, the present study examined the unique contributions of the four major value beliefs and self-concept on achievement, self-reported effort, and teacher-rated behavioral engagement in mathematics. In particular, we examined the multiplicative effects of self-concept and task values on educational outcomes using…

The purpose of this quantitative study was to examine the ability of standardized test scores to predict the performance of students in first-year mathematics courses, and the extent to which these tests displayed differential validity among various subgroups. Using discriminant analysis, it was established that the following percentages of…

Research has demonstrated that cognitive and motivational teacher characteristics are crucial for students' development. Surprisingly less is known about teachers' negative affective characteristics and students learning. Therefore, we investigated the association between teachers' emotional exhaustion and students' achievement in mathematics.…

The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: 1) representing increasingly precisely the magnitudes of non-symbolic…

For many years, researchers attempted to prove that the use of technology would improve student achievement (Morrison, 1994). Many of these assertions prompted researchers to "test" the effectiveness of these various technologies by comparing a technology such as television or computers to a teacher teaching. While a number of…

Despite the effort of teacher education programs, early childhood, and elementary preservice teachers often fear mathematics, have high mathematics anxiety, hold negative self-perceptions in relation to mathematics, find mathematics irrelevant, and have low mathematics achievement. The aim of this study was to implement and investigate the…

This paper presents findings from classroom observations of one teacher (Beth). It focusses on the development of conceptual understanding of fractions with her students, articulated in Kieren's sub-constructs (Kieren, 1980,1988), and Hansen's progressions (Hansen, 2005). The study covers three lessons within a six week unit. Findings from this…