This study aims to evaluate the university lecturers' teaching content preferences in different teaching environments at the undergraduate level of mathematics. The content that lecturers use in teaching the concept of integral is evaluated through a comparison of face-to-face and virtual classroom settings. With comparative case study being used…

This report examines one teacher's attempts to differentiate instruction every day, in a dynamic teaching and learning environment. The report is part of a larger study that utilised a network of theories approach, coordinating the documentational approach to didactics (DAD) and Thompson and Harel's theory of meanings, to examine teachers'…

As more K-12 students with disabilities enroll in online courses, virtual schools and programs are working to make courses accessible through stronger course design. When course designers approach the issue of accessibility, they must comply with legal requirements and mitigate the challenges many students with disabilities face for literacy and…

According to recent reports, K-12 full-time virtual school students have shown lower performance in math than their counterparts in brick-and-mortar schools. However, research is lacking in what kind of programmatic interventions virtual schools might be particularly well-suited to provide to improve math performance. Engaging students in…

The trend and demand for virtual education has grown nationwide. With an increase in students choosing this type of education, inevitably the demand for schools of this type of educational instruction has increased in number. The purpose of this study is to determine the extent of the relationship between virtual school size and student…

Recent studies of online learning environments reveal the importance of interaction within the virtual environment. Abrami, Bernard, Bures, Borokhovski, and Tamim (2011) identify and study 3 types of student interactions: student-content, student-teacher, and student-student. This article builds on this classification of interactions as it…

This qualitative case study explored how students learning Maths at an Irish institute of higher education benefited from their instructor's use of self-developed screencasts. The screencasts (47 in total) were posted on the institute's Maths Moodle site for students to access. One hundred and thirty-eight (n = 138) students participated in an…

A major challenge faced by teachers nowadays relates to the usage of proper educational technology to achieve a true and meaningful learning experience involving time for reflection. Teachers constantly seek new ways to improve instruction, but in virtual learning environments they often find themselves in a new role, interacting in a dynamic…

Problem statement: Although there is agreement on the potential of project based learning (PBL) and virtual manipulatives (VMs), their positive impact depends on how they are used. This study was based on supporting the use of online PBL environments and improving the efficacy of the instructional practices in PBL by combining the potentials of…

Moodle is an extended learning management system for developing learning units, including mathematically-based subjects. A wide variety of material can be developed in Moodle which contains facilities for forums, questionnaires, lessons, tasks, wikis, glossaries and chats. Therefore, the Moodle platform provides a meeting point for those working…

Since ancient times mathematicians and geometricians have used visualisations to describe, discuss, study and teach mathematics. In mathematics education, visualisations are still used whenever possible to support teaching, to inspire students and feed their need to actually see abstract mathematical facts. In our times, virtual reality presents a…

This paper describes the effect of teacher comments, students' demographic information and learning management system utilisation on student final scores in algebra courses in a K-12 virtual learning environment. Students taking algebra courses in a state virtual school in the Midwestern US region during 2007-2008 participated in this study.…

Virtual Learning Environments (VLEs) are becoming increasingly popular in online education environments and have multiple pedagogical advantages over more traditional approaches to education. VLEs include 3D worlds where students can engage in simulated learning activities such as Second Life. According to Claudia L'Amoreaux at Linden Lab, "at…

This study of student performance in an online Algebra course looked at the development, implementation, and evaluation of interactive tools for graphing linear equations. The study focused on an interactive tool that was evaluated with virtual school Algebra students for a challenging component of the course. The performance of these students in…

The new representations enabled by the educational computer game the "Juggler" can place vectors in a central role both for controlling and measuring the behaviours of objects in a virtual environment simulating motion in three-dimensional spaces. The mathematical meanings constructed by 13 year-old students in relation to vectors as…