New Dimensions in Mathematics Technology with Cabri3D

Abstract

Visualization and mental imagery are well known to be keys for mastering and understanding mathematics concepts. Relevant concepts range from the area of pure geometry to other less geometric domains such as algebra, calculus and statistics. In other words, mathematics is used to assist modeling in many areas in sciences. Mental imagery is mostly inspired by 3D (sometimes by n-dimensions) mental representations. This is the reason why dynamic environments for 3D are essential to the learning and teaching of mathematics. Existing dynamic environments have been mostly devoted in 2D. In this presentation, the speaker will show how the new Cabri3D extends direct manipulation of mathematical objects to 3D. This presentation will be supported by appropriate examples in geometry, algebra and calculus. In addition, speaker will also demonstrate how 4-dimensional objects can be manipulated- a special tribute will be paid to Salvador Dali for his work Corpus Hypercubicus dated 1954.