Multimedia Technology for Mathematics
and Computer Science Education
Srdjan Vukmirovic
Faculty of Mathematics
Belgrade
Multimedia Technology for Mathematics
and Computer Science Education (MTMCSE)
In the beginning (2001):
Technical University Berlin
Faculty of Mathematics, Belgrade
Mathematical Institute of SANU, Belgrade
Nowadays (2008):
Frei Universität Berlin
Faculty of Mathematics, Belgrade
Mathematical Institute of SANU, Belgrade
Faculty of Electronic Engineering of the University of Niš
Faculty of Mathematics and Informatics of the University of Sofia
Department of Mathematics of Budapest University of Technology and
Economics
Faculty of Electrical Engineering and Information Technologies of the University
Ss. Cyril and Methodius, Skopje
Faculty of Civil Engineering of the University of Zagreb
Fachinformationszentrum Karlsruhe
Aims of the Project MTMCSE
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Knowledge transfer in the field of multimedia technology in
education and research in the fields of mathematics and
computer science.
Establishing of local competence centers in multimedia
technology and their cross linking in a network.
Development and use of new multimedia content and software
for mathematics and computer science education.
Project website:
http://geom.mi.fu-berlin.de/projects/daad/index.html
http://www.matf.bg.ac.yu/~daad/ (Belgrade)
Some activities of the project (Belgrade)
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VIVE MATH - Niš, Yugoslavia, 2001
Workshops (2004, 2005, 2006, 2007) in Belgrade
Visits of people from Berlin to Belgrade (lectures for
students)
Visits of people from Belgrade to TU Berlin
15 students from Belgrade participated to
Spring School Geometry and Visualization, Berlin 2006
Some results of the project (Belgrade)
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Geometrical visualization
Computer aided teaching
Computer aided research
Development of regional mathematical information
infrastructure
Geometrical visualization - the main tools
JavaView (www.javaview.de)
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(K. Polthier and others)
3D geometry viewer and a mathematical visualization software
allows interactive display of 3D geometries in any HTML document on
the internet.
WinGCLC (http://www.matf.bg.ac.yu/~janicic/gclc/)
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(P. Janicic)
tool for visualizing and teaching geometry, and for producing
mathematical illustrations
Support for many geometrical constructions, isometric transformations,
conics, and parametric curves
GCLC constructions are formal procedures, rather than drawings
Computer aided teaching
Online textbooks:
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Textbook in Analytical Geometry (JavaView, Wafl, DB2)
(N. Bokan, S. Malkov, N. Mitic, Z. Rakic, students)
Problem book in Descriptive Geometry (JavaView, AutoCAD)
(S. Vukmirovic, students)
Textbook in Descriptive geometry (JavaView)
(N. Bokan, M. Ljucovic, S. Vukirovic)
Euclid’s Elements (html version of the famous book, Serbian)
(Z. Lucic, studenti)
Ten Problems of Apollonius (WinGCLC, html)
(Z. Lucic, studenti)
Computer aided teaching (continued)
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Using WinGCLC in Teaching Geometry (WinGCLC)
(M. Antic, M. Djoric, B. Zivkovic)
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Isometries of Euclidean Plane, Polygons (C++ language)
(S. Vukmirovic, students)
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Numerical Modelling (C++ language, Java)
(D. Radunovic, F. Maric, A. Samardzic, students)
Example: wavelets applet (by student Goran Predovic)
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Solar Eclipses Visualized (C++ language) (C++, DirectX)
(P. Glisovic, S. Segan, I. Stojanovic)
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Root System of Simple Lie Algebras (Mathematica, JavaView)
(Lj. Boskovic, B. Radusinovic, S. Vukmirovic)
Computer aided teaching (continued)
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Geometry for elementary school (JavaView)
(B. Radusinovic)
Computer aided research
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Knot theory program - LinKnot (Mathematica)
(S. Jablan, R. Sazdanovic)
Playing with homology (C++)
(P. Blagojevic, A. D. Blagojevic, M. Milosevic)
Geodesic on sphere with respect to a non-standard
connection
(Z. Stanic)
Discrete geometry of polyhedral surfaces
(Z. Stanic)
Graph theory: Star Complement Technique (C++)
(Z. Stanic)
Development of regional mathematical
information infrastructure
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Mirrors of EMIS and Zentralblatt MATH
Database of electronic editions of mathematical journals
published in Serbia
Digitization of mathematical heritage in Serbia