The main focus of the Mathematical Visualization research group is the development of the program 3D-XplorMath, which makes it easy for anyone to see concrete visual representations of many kinds of mathematical objects and processes. By "easy" we mean that using the program requires little or no programming.
In fact, to see most of what 3D-XplorMath has to offer requires only that you know how to manipulate a standard computer interface to choose the object or process you are interested in from a pull-down menu.
Then, as you become more familiar with the program and feel more adventurous, you can either tailor the default view of one of the built in objects in various ways, by using various menu choices and control panels, or you can create new "User Defined" objects by entering formulas into dialog boxes in standard algebraic notation. The program has been downloaded by thousands of users around the world, and is used in both teaching and research.
Other mathematicians from many different countries are also helping to develop the program, in particular Hermann Karcher at the Univ. of Bonn, Germany, David Eck at Hobart-William Smith College, and Martin Guest at Tokyo Metropolitan University.
For more information, please see the 3D-XplorMath Homepage and the related Virtual Math Museum.