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Multimedia Technology for Mathematics and Computer Science Education

This project aims to transfer knowledge in multimedia technology for education and research in mathematics and computer science. It focuses on establishing local competence centers, developing new multimedia content and software, and creating a regional mathematical information infrastructure.

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Multimedia Technology for Mathematics and Computer Science Education

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  1. Multimedia Technology for Mathematics and Computer Science Education Srdjan Vukmirovic Faculty of Mathematics Belgrade

  2. Multimedia Technology for Mathematics and Computer Science Education (MTMCSE) In the beginning (2001):Technical University BerlinFaculty of Mathematics, BelgradeMathematical Institute of SANU, Belgrade Nowadays (2008):Frei Universität BerlinFaculty of Mathematics, BelgradeMathematical Institute of SANU, BelgradeFaculty of Electronic Engineering of the University of NišFaculty of Mathematics and Informatics of the University of SofiaDepartment of Mathematics of Budapest University of Technology and EconomicsFaculty of Electrical Engineering and Information Technologies of the University Ss. Cyril and Methodius, SkopjeFaculty of Civil Engineering of the University of ZagrebFachinformationszentrum Karlsruhe

  3. Aims of the Project MTMCSE • 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)

  4. Some activities of the project (Belgrade) • 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 toSpring School Geometry and Visualization, Berlin 2006

  5. Some results of the project (Belgrade) • Geometrical visualization • Computer aided teaching • Computer aided research • Development of regional mathematical information infrastructure

  6. Geometrical visualization - the main tools JavaView (www.javaview.de)(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/)(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

  7. Computer aided teaching Online textbooks: • 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)

  8. Computer aided teaching (continued) • Using WinGCLC in Teaching Geometry (WinGCLC)(M. Antic, M. Djoric, B. Zivkovic) • Isometries of Euclidean Plane, Polygons (C++ language)(S. Vukmirovic, students) • Numerical Modelling (C++ language, Java)(D. Radunovic, F. Maric, A. Samardzic, students)Example: wavelets applet (by student Goran Predovic) • Solar Eclipses Visualized (C++ language) (C++, DirectX)(P. Glisovic, S. Segan, I. Stojanovic) • Root System of Simple Lie Algebras (Mathematica, JavaView)(Lj. Boskovic, B. Radusinovic, S. Vukmirovic)

  9. Computer aided teaching (continued) • Geometry for elementary school (JavaView)(B. Radusinovic)

  10. Computer aided research • 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)

  11. Development of regional mathematical information infrastructure • Mirrors of EMIS and Zentralblatt MATH • Database of electronic editions of mathematical journals published in Serbia • Digitization of mathematical heritage in Serbia

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