A total of 3,342 eleventh graders from 10 public Senior High Schools were engaged in an investigation of the nature of motivation for the learning of mathematics in the Cape Coast Metropolis of Ghana. The Likert survey revealed both intrinsic and extrinsic motivation, while in the interview students mainly provided extrinsic motivation…

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…

The current study aimed to investigate the relationship between class teachers' level of mathematical thinking and level of anxiety about mathematics teaching in terms of different variables. To this end, the correlational and causal comparative method, one of the qualitative research methods, was used in the study. The study group of the current…

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…

A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when…

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…

Research Findings: A total of 54 videotaped mathematics activity observations drawn from 27 different pre-kindergarten classrooms in an urban public schools system in the U.S. were coded using 2 observational measures: (1) a general measure, the Classroom Assessment Scoring System (CLASS); and (2) a math-specific measure, the High Impact…

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…

Continuing our critique of the classical derivation of the formula for the area of a disk, we focus on the limiting processes in geometry. Evidence suggests that intuitive approaches in arguing about infinity, when geometric configurations are involved, are inadequate, and could easily lead to erroneous conclusions. We expose weaknesses and…

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…

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.

This paper is based on data from two teaching sequences in primary school that are designed using principles from the theory of didactical situations (TDS). The following research question is addressed: "What opportunities can a teaching design based on TDS give a teacher to gain insight into pupils' language use, and to use this insight to…

In this study we examined three preservice elementary teachers' (PSTs) use of mathematics tasks with English learners (ELs) during a field experience. For each of the first three weeks of the field experience, the PSTs were provided tasks for which to plan a lesson for a one-on-one session with an EL. Drawing on Brown's (2009) notion of…

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…