Visualisation in mathematics

Intuitively everyone agrees that using some form of visualization process in many mathematical contexts enables and enriches the process of mathematizing – the process of doing mathematics. We all visualize no matter how abstract the mathematical concept – it is a form of thinking. Yet it is a process that is often taken for granted and not explicitly emphasized in a typical classroom setting. The question whether learners see the same image as the teacher imagines or uses is not often asked.

This project is inspired by the following fundamental question:

For a specific mathematical idea or object, is what I imagine or visualize congruent to what you imagine or see?

This website is a culmination of a number of research and student projects that engaged in issues of making mathematical ideas more visual through the medium short silent video clips which mostly used a stop-go-motion animation technique.

The VITALmaths and VITALmathsLIC site consists of a databank of short and funky video clips that specifically interrogate the conceptual aspects of a mathematical idea, process or concept. Some of the video clips contain strategic dialogues to encourage appropriate mathematical talk and conversation.
SANDBOXmaths is a collection of more experimental video clips done by students in their mathematics teacher-training classes and researchers wishing to use specific video clips in their teaching and research.
The APPLETmaths site consists of a selection of GeoGebra applets that were developed by students and researchers for their research projects.