English learner (EL) students are a heterogeneous group with unique needs and the challenges of acquiring a new language while also learning grade-level academic content. Math word problems pose a challenge for some EL students who are at risk for math disabilities. This study, conducted by myself and H. Lee Swanson, used a single-case research…

This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

Examining the use of conceptual frameworks such as the instructional hierarchy (IH) to drive academic interventions represents an important area of inquiry in order to understand why an intervention was effective. However, to date, the IH has only been examined retroactively to explain the effectiveness of math interventions and has not been used…

This study presents a single case study of how a remedial mathematics teacher incorporated an instructional intervention into her teaching practices in order to teach counting to a pupil with mathematical learning difficulties. This new theory-driven intervention was developed by the authors of this study. Dyscalculia is a term which refers to a…

Response to Intervention (RtI) is a multitiered system of support, designed to improve student learning outcomes and early identification of struggling students. Much attention has been paid to RtI for literacy at the elementary level, but less on RtI for mathematics at the secondary level. The current case study examines one high school's…

The paper presents the results of a case study examining students' difficulties in the learning of integral calculus. It sought to address the misconceptions and errors that were encountered in the students' work solution. In quantitative study, the marks obtained by 147 students of Diploma in Computer Science in advanced calculus examinations…

In an urban Title 1 school district, the average number of Grade 3-5 students who scored proficient or advanced on the state standardized assessment was 37.3% below Grade 3-5 students countywide and 19.4% below Grade 3-5 students statewide. Low mathematics scores may indicate a gap in practice that affects student achievement. The purpose of this…

This research study examined the process by which non-English speaking students, whose first language is Arabic, learn mathematics in English. Teachers' adaptation was investigated to reflect the effect of change in instructional methods. The effect of communication between teachers, and exchanging ideas about the efficient practice procedure to…

A crunch point in the maths development of some children is Year 4. At this point it becomes obvious they are not only well-below national standards, but they are experiencing such a degree of difficulty in learning maths that they are still working at a Year 1 level or below. This is exemplified by a case study of a student referred to the…

We investigated whether the introduction of a variety of activity-based teaching strategies into college-level mathematics classes in the United Arab Emirates was effective in terms of the nature of the classroom learning environment and students' satisfaction. In addition, we investigated how the use of personally-relevant and concrete activities…

This paper describes a pilot study investigating Teacher Aides (TAs) in primary mathematics classrooms. Three teacher/TA teams were investigated. The teachers were asked about the role of TAs in their classrooms, and the TAs were asked about their confidence in mathematics and in the desirability of professional learning. The TAs indicated a need…

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…

This book presents a schoolwide model of instructional support designed to make the most of available time, resources, and personnel--one that is also fully compatible with other problem-solving models, such as response to intervention. The authors provide a comprehensive and cohesive framework for linking assessment and intervention. They show…

Explanations for problems in mathematics are offered, and examples that may lead to a better understanding of problems in mathematics are discussed. Examples include the developmental, dyscalculia, dyspedagogia, behaviorist, medical, psychoanalytic, cultural, curricular, social, transactional, moral, and eclectic models. A case study exemplifies…

This paper presents a number of case studies in Oceanography, an optional module in the third/fourth year of a Master of Science programme at Norwegian University of Science and Technology. The main objective was to gain more thorough insights into student learning by examining two sets of individual oral examinations. In addition, all students…