Working group 1: VCA - Visualisation and computer animation

ICTMT 5, Klagenfurt, 6-9 August 2001

(Schedule, tentative as of 20. 6. 2001)

Chair: Gert Kadunz

Tuesday 10:30 - 11:15 Chair: Gert Kadunz

The role of dynamic geometry packages in visualisation and animation

Katherine Mackrell (UK, KateMackrell@care4free.net)

Tuesday 16:15 - 17:00 Chair: Gert Kadunz

Autograph: Dynamic Coordinate Geometry and Statistics

Douglas Butler (UK, debutler@argonet.co.uk)

Tuesday 17:00 - 17:45 Chair: Gert Kadunz

IMMENSE - a tool for visualization and mathematical experiments

Susanne Saminger (Austria, guenter.pilz@algebra.uni-linz.ac.at)

Wednesday 10:30 - 11:15 Chair: Gert Kadunz

Mathematica graphics in the internet

Ralf Schaper (Germany, rascha@mathematik.uni-kassel.de)

Thursday 10:30 - 11:15 Chair: Gert Kadunz

Mittels Computergraphik zu mathematischen Entdeckungen

Grosio Stanilov (Bulgaria, stanilov@fmi.uni-sofia.bg)

Thursday 16:15 - 17:00 Chair: Gert Kadunz

Cubic Section by moving plane

Yulian Tsankov (Bulgaria, ucankov@fmi.uni-sofia.bg)

Abstracts:

Douglas Butler, UK:
Autograph: Dynamic Coordinate Geometry and Statistics

This presentation will demonstrate how dynamic and dependent objects can be used to enhance understanding in the teaching of mathematics at school and college level, and how they give the teacher an exciting new repertoire of moving images.

Katherine Mackrell, UK:
The role of dynamic geometry packages in visualisation and animation

This session will comprise a report of discussions held at the CabriWorld conference in Montreal in June 2001 regarding the use of Cabri-Geometre to create interactive teaching materials using visual imagery and animation to introduce mathematics from a wide range of areas.

Susanne Saminger, Austria:
IMMENSE - a tool for visualization and mathematical experiments

***

Ralf Schaper, Germany:
Mathematica graphics in the internet

An extended version of LiveGraphics3D will be presented.

Grosio Stanilov, Bulgaria:
Mittels Computergraphik zu mathematischen Entdeckungen

Wir untersuchen die Parallelogramm-und die Wuerfelschnitten nur mittels Schulmathematik.Um die Besonderkeiten der Laengenschnitten und die Flaecheninhalten zu entdecken,verwenden wir zunaechst die Computergraphik.Wir erreichen zu wichtigen Saetzen in der Analysis,zur besonderen Schnitten und zur neuen exotischen Flaechen in der Differentialgeometrie.Einiges ist auch in die Bildkunst zu verwenden.In der hyperbolischen Geometrie erreichen wir zu einer Konstante,die die Seiten des Morleys Dreiecks fuer jedes beliebigen Dreiecks von oben beschraenkt.

Yulian Tsankov, Bulgaria:
Cubic Section by moving plane

By Computer graphic and Schoolmathematic we investigate all cubic sections. They depend of three parameters. If we fix two of them, the interval (-infinity, +infinity) for the third parameter divided in six subintervals, where the sections are from different type. We visualize these sections and corresponding them area functions. The dividing - points arise some surfaces geometrically connected with the cube.