The aim of this project is to develop new teaching material for geometry and differential geometry courses which give students a chance to "see and experience" the connection between formal descriptions and derivations on the one hand, and their geometric, visual interpretation on the other.

Recent advances in computing, particularly computer graphics and the internet, should be applied to this aim. New teaching material should give students a more (inter)active, constructive and experimental point of entry to the world of geometry.

A geometric laboratory.

A DTU Technical Report covering theoretical work on Interactive Mathematics Textbooks.

Towards a proof without words.

Examples showing osculating paraboloids of a torus.

Some Java applets.

Some experiments with LiveGraphics3D.

Martin Raussen's texts on basic geometric concepts (lecture plans in Danish, lecture notes in English).

Jens Gravesen's Curves in CAGD notes.

Lisbeth Fajstrup's Maple examples (descriptions in Danish, worksheets in English).

Here are some GIF animations.

Some Proposals for computer illustrations regarding curves,

Proposals for illustrations regarding elementary surface theory and

Proposals for illustrations regarding advanced surface theory from Martin Raussen.

Program (in Danish) of a meeting at Aalborg University (30.10.1998).

- EG-models.
- Applet PaSurface.
- Virtual Image.
- Internet Math Consortium.
- Dansk Center for Naturvidenskabsdidaktik.
- GRTensor II: a computer algebra package for calculations in differential geometry.
- The Visualization of Mathematics: Towards a MathematicalExploratorium.
- Design map (Stuart University).
- A map projection overview.
- A tutorial covering three-dimensional Mathematica graphics.
- The Geometry Center of the University of Minnesota.
- NetMath: Web browser for web based computation.
- Geometry Turned On: Dynamic Software in Learning, Teaching, and Research
- METRIC: Mathematics Education Technology Research at Imperial College, London.
- The Geomview download page.
- The Dynamical Systems and Technology Project at Boston University.
- Bill Casselman's homepage.
- Math 3D Plot Gallery.
- The Geometry Junkyard.
- An example applet that displays a function in 3D: g3d.
- Cyclone (only for Windows95 or NT).
- Java resources
- LiveGraphics3D.
- NonEuclid - Hyperbolic Geometry Applet.
- WebEQ: a suite of Java programs for creating and displaying interactive scientific Web documents.
- A collection of Java websites to support mathematics education.
- Gamelan Java programming: Applets: Science - Mathematics.
- The JavaSketchpad homepage.
- Cinderellas Café (in German).

- The CARMA home page.

- The Department of Mathematics of Aalborg University.
- The Department of Electrical Engineering of the Engineering College of Aarhus.
- Henrik Karstoft: hka@e.aarhus.ih.dk

- The Department of Mathematics of the Technical University of Denmark (DTU).