1. Catholic University in Ružomberok
Faculty of Education
Visualization of Selected
Algorithms of Graph Theory
Hedviga Palásthy, Ján Gunčaga
hp@ku.sk

2. Main parts
• Visualization in the education
• Graph in GeoGebra
• Algorithm in the graph theory

3. Visualization
• method for the visual interpretation of data,
which uses the advantages of human
perception in the analysis,
• allows students to understand the presented
problem better and more quickly,
• provides an option to highlight or suppress
some important features.

4. Effective visualization
• abstract and emphasize the important aspects of
the program in the moment,
• provides an option to highlight or suppress some
important features,
• interactive environment, clear, economical and
attractive design

5. Visualization programs
• to apply curriculum in new situations,
• promoting activity of students ,
• develop creativity, logical and algorithmic
thinking of students ,
• to learn to give information to the
interrelations,
• to understand the presented problem better
and more quickly.

6. Teaching mathematics and
GeoGebra
Many educators say that the main goals of
teaching mathematics are:
• the development of logical thinking
• the development of creative thinking
• the development of an autonomous person
• the development of the ability to solve
problems.
GeoGebra allows to implement these goals in
mathematics education.

7. Graphs in GeoGebra

8. Minimum distance path

9. Minimum skeleton

10. Minimum path

11. Visualization of Dijkstra algorithm

14. Visualization of linear equations

15. Visualization of trigonometric functions

16. GeoGebra and Tangram

17. GeoGebra - geometry

18. GeoGebra-functions in math

19. GeoGebra Wiki - French

20. Thanks for your attention