The material of this workshop will be based on the connectivity of vertices and edges. It will explore the aspects of graph theory via a game known as the ‘Euler circuit’ which is played by moving along the graph so that every edge is used exactly once. Furthermore, we will explore those ideas into real life applications like the algorithm of the ‘Chinese postman’.
The purpose of this workshop is to provide the audience with the understanding that a lot of problems with practical use can be solved by representing them on graphs.
Trainers: Andreas Demetriou, MSc., Maths Teacher of The Grammar School Nicosia, Cyprus and Management Board Member of the Cyprus Mathematical Society, Michalis Gavrielides, MSc., Maths Teacher of The Grammar School Nicosia, Cyprus
Join us in a exciting journey to the depths of a world of secrecy, where human ingenuity, spies, kings&queens, massive armies and mathematics all blending together. From the ancient scytale of the Greeks, we unravel the thread of history leading us to the creation of modern computers and mobile phones.
Trainer: Panos Kartsidis earned his degree in Mathematics at Aristotle University of Thessaloniki. He joined the CTY-Greece family during the summer camp of 2014 and serves as Cryptology instructor ever since. His first contact with codes and ciphers took place very early in his journey and is a disciple of cryptology ever since, currently aiming his doctoral research on neuroscience, the code of human brain.
This workshop will give an opportunity to play with the concepts introduced in the talk of the same title. There will be many generalizations discussed and some of them tested with software which will be provided to participants during the workshop (a cellular phone would be an advantage). The attendance of the talk is not necessary in order to follow and actively participate in the workshop.
Trainer: Dorota Baniak, Jan Matejko Middle School, Poland
This workshop is devoted to various coloring problems appearing in mathematics. I will report on the coloring problem for maps. The participants will be provided with sample maps and asked to color them with as few colors as possible. Then I will pass to less known problems of coloring a finite set of integers so that there is guaranteed the existence of a finite monochromatic arithmetic sequence of prescribed length (van der Waerden problem). I will also present in a form of a game the main problem of the Ramsey theory (finding a complete monochromatic graph in a colored larger graph).
Trainer: Tomasz Szemberg, Pedagogical University of Cracow, Poland
A workshop on instruction for Mathematics teachers will take place during the conference. The duration of the workshop is one and a half hours. The workshop leader is Thodoris Andriopoulos, a CTY Greece instructor. During this workshop there will be a presentation of teaching practices that have been applied to CTY Greece courses with excellent results. The aim of the workshop is to show how such best practices can be used to enrich an ordinary math lesson so as to become more attractive for students. Following the workshop, there will be a Q&A session and group discussion.
Trainer: Thodoris Andriopoulos was born in Athens in 1967 and teaches mathematics at Anatolia College in Thessaloniki. He also teaches Game Theory at the Johns Hopkins University Center for Talented Youth in Greece. He is the writer of the mathematical mystery graphic novel Who Killed Professor X? which became a best seller in Greece and has been translated in English, Japanese and Korean . The educational project on which Who Killed Professor X? is based, took third prize in the 6th Microsoft European Innovative Teachers Forum. The distinction was awarded in the special category in which European teachers vote for the best projects.