Multimedia Technology for Mathematics and Computer Science Education

1
Multimedia Technology for Mathematics and
Computer Science Education

• Srdjan Vukmirovic
• Faculty of Mathematics
• Belgrade

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Multimedia Technology for Mathematics and
Computer Science Education (MTMCSE)

• In the beginning (2001)Technical University
  BerlinFaculty of Mathematics, BelgradeMathematic
  al Institute of SANU, Belgrade
• Nowadays (2008) Frei Universität
  BerlinFaculty of Mathematics, BelgradeMathematic
  al Institute of SANU, BelgradeFaculty of
  Electronic Engineering of the University of
  NiFaculty 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

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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)

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Some activities of the project (Belgrade)

• VIVE MATH - Ni, 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

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Some results of the project (Belgrade)

• Geometrical visualization
• Computer aided teaching
• Computer aided research
• Development of regional mathematical information
  infrastructure

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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

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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)
• Euclids Elements (html version of the famous
  book, Serbian)(Z. Lucic, studenti)
• Ten Problems of Apollonius (WinGCLC, html)(Z.
  Lucic, studenti)

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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)

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Computer aided teaching (continued)

• Geometry for elementary school (JavaView)(B.
  Radusinovic)

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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)

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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