Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…

This study examines the integration of virtual reality (VR) information technology in the teaching of systems of linear equations in three variables in a high school mathematics class. More broadly, the study investigates the effectiveness of digital teaching with respect to the learning process. The study tests two auxiliary teaching systems: a…

This paper examines the various ways in which university lecturers of large first-year university mathematics courses receive and use feedback on their students' learning with particular emphasis on feedback collected at a mathematics support centre in an Irish university. Drawing on findings from interviews conducted with 13 lecturers at three…

In this article, we report on a pilot study to investigate the use of aspects of team-based learning (TBL) in mathematics to raise the aspirations of young people from disadvantaged areas. The study involved employing elements of TBL to deliver a mathematics revision course to students who were compulsorily resitting GCSE mathematics in schools…

Many scholars call for teacher educators to provide experiences that can lead prospective teachers to adopt and implement culturally responsive pedagogy in mathematics classrooms. This qualitative investigation analyzed interviews from preservice secondary mathematics teachers using Hernandez, Shroyer, and Morales framework for culturally…

Use of three-force member concept for rigid bodies whenever possible, to circumvent the more taxing use of equilibrium equations has been long-established. However, most students fail to reap its benefits due to a number of reasons, including the fact that its importance is hardly emphasized to them; skills and details needed for the concept are…

This paper reviews 10 years of research on virtual manipulatives (VMs) in K-5 mathematics education with a focus on moving beyond generalized conclusions that VMs can support learning to better understanding how and when they support learning. Synthesis of fifteen articles that met the inclusion criteria revealed researchers are beginning to…

Student participation and cognitive and emotional engagement in learning activities play a key role in student academic achievement and are driven by student motivational characteristics such as academic self-concept. These relations have been well established with variable-centered analyses, but in this study, a person-centered analysis was…

The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…

This article chronicles the author's positive experience of conducting a liberal arts mathematics course with no testing whatsoever. The format of the course is discussed, and student responses to the format are summarized.

Since the development of the term numeracy in the mid-fifties in the United Kingdom, the concept of what numeracy is and how it is defined has undergone many changes. The Australian education community continues to explore the concept of numeracy, consider the place and definition of numeracy in the curriculum and consider its relationship with…

Fluent recall of basic facts is essential to the development of more complex math skills. Therefore, failure to develop fluency with basic facts may impede the development of these skills. The present study used a between-group experimental design to investigate whether a basic facts fluency program, implemented within a self-regulated learner…

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…

In this study, we used hierarchical linear modeling to examine restricted-use 2011 National Assessment of Educational Progress (NAEP) data to explore relationships between principal-reported time spent on the different NAEP responsibilities of mathematics coaches and specialists (MCSs) and the achievement scores of approximately 37,400…

While mathematics education research has become increasingly concerned with issues of equity, including girls' participation in the subject, the field remains troubled with conceptualising and operationalising gender. To date, few studies of gender and school mathematics participation have moved beyond conflating gender with sex or categorising…