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Catholic University in Ružomberok
       Faculty of Education


  Visualization of Selected
Algorithms of Graph Theory


   Hedviga Palásthy, Ján Gunčaga
            hp@ku.sk
Main parts
• Visualization in the education
• Graph in GeoGebra
• Algorithm in the graph theory
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.
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
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.
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.
Graphs in GeoGebra
Minimum distance path
Minimum skeleton
Minimum path
Visualization of Dijkstra algorithm
Visualization of linear equations
Visualization of trigonometric functions
GeoGebra and Tangram
GeoGebra - geometry
GeoGebra-functions in math
GeoGebra Wiki - French
Thanks for your attention

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Visualization of-selected-algorithms-of-graph-theory