It has been advocated that pedagogical content knowledge as well as subject matter knowledge are important for improving classroom instructions. To develop pedagogical content knowledge, it is argued that understanding of students' mental representations of concepts is deemed necessary. Yet assessing and comparing mental model of each individual…

One of the most useful ways to enhance collaboration is to create scenarios where learners are able to interact more effectively. Nevertheless, the design of pedagogically sound and well-thought-out collaborative learning scenarios is a complex issue. This is due to the context of group learning where the synergy among learners' interactions…

Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

Describes Mathwise, a courseware delivery environment developed by the United Kingdom Mathematics Courseware Consortium, whose Courseware Manager provides a protocol for integrating courseware materials from a variety of authors using a variety of software authoring tools. Modules, leaflets and cross-referencing, comparisons with other hypertext…

Discusses the use of computers in undergraduate mathematics. Highlights include external software, including spreadsheets and theorem provers; computer generated assessment; multimedia software; computer programming languages; geometric visualization tools; computer algebra systems; and examples from the United States, the United Kingdom, and…