Seminar on matchstick graphs and “how-to” for applied geometry

Networks can be constructed from matchsticks and they have quite interesting properties, some of them are listed here. At the same time there are some open problems and for seminar we need just matchstick box for making a seminar for students for that.


Seminar about tilings and physics of quasicristals

Materials for the seminar are kindly provided by I.Galanov and his collogues in University of Paris (see contact page of Lecturers without borders for more information).


Seminar about geometry of networks (secondary school + high-school level)

Lectures about game theory and networks (secondary school + high-school level)


Lectures on connection between the graph theory, game theory and the polyhedron theory (Pdf in English is here).

Lectures about geometry theory and applications (secondary school + high-school level)


Book from Matematicheskij praydnik (Pdf in Russian)

Lectures about graph theory and applications (secondary school + high-school level)


More materials about graph problems for secondary school students can be found in free Perelman mathematical book here.

Course on random graphs (high-school level)

Co-organized with Siargey Kachanovich, with the support of: Animaths, Animaths Prishtina, French Embassy, KEC, Mileniumi i Trete
The course was kindly shared by Nicolas Blachard and was split into two sessions per day, with Siargey Kachanovich teaching the first and Nikola K. Blanchard teaching the second. Course was taught in English.


Lectures about random walks (high-school level)

The material is collected from various mathematical and physics articles and should be understandable for students from secondary school. Link is here.
Lecture was given in winter school Piligrim (January 2019), Obninsk, Russia




Learning through games

The Wisdom Journey is a philosophical game created by ÉPhiScience.

This video is explaining the rules of the game.

Thanks to Pleen for sharing the game for free through ÉPhiScience website.



Lecture about field linguistics

A lecture made by the theoretical linguist Max Ionov about theoretical and field linguistics in Moscow Region.


The pdf file with the lecture is uploaded paris-t-seminar-intro-to-field-ling.

Material for the lecture about climate and renewable energy solutions

The cards for the activity about climate change and human impact on the climate are scanned here.
Other resources may be found on the website of the project La fresque du climat. page.png.

Seminar on graph theory and network games
(France, October 2018, Germany, December 2018)

The network games is the set of games, which we developed at Centre of Research and Interdisciplinarity with Marc Santolini.
The rules are very simple therefore the game can be played with the children
from age 5-100 (unlimited):
1. every person gets the card (where it is written with whom he is connected)
2. all game participants with cards stand in the circle and first
do not know others connections, but only their own connections.
3. the main goal of the network game is:
– to draw the network the fastest from only local connections;
– to send messages the fastest way from one person to another
through the connections of the people;
– everyone gets the card with infection, the goal is to locate infectious nodes
so that the spreading happens the fastest.
The game can be played in teams, with or without the physical links.



Lecture about forests around the world
(Indonesia, October 2018)

The lecture by SciEd for elementary schools in Indonesia can be downloaded here.


Animals living in primary forest. Background: Laser-scan picture of Harapan rainforest, Jambi, Indonesia.

Techniques for making a lecture:

Learning pyramid

Six main principles for giving a lecture, ways for constructing the efficient lecture for learning using Bloom’s taxonomy.

General suggestions 

General suggestions from Pint of Science
the power point presentation about making a good public lecture.

Seminar about mathematics of tilings



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Mathematicians can make lectures without any special devices. This makes mathematics so attractive for people, who do not have possibility to have any equipment to learn something. The information about the Robinson tilings can be found on Wolfram demonstration project page.

Lecture about network and topology objects

Questions, which we are asking is how to make the simple lecture anywhere in the remote school, where there are no materials available?

Answer: to make lecture about mathematics and more precisely about the essence of topology. If one has the piece of paper, we can easily construct the Möbius strip, from which one can easily build double-twisted strip, from which one can get two entangled ring, from which…

One can continue to the infinity. This lecture is the prototype of lectures at SciEd, which one can design not only on mathematics, but also on any subject. The idea is – to use as least amount of devices to show the beauty of subject just by inspiring children imagination.



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Lecture on climate change and emission reduction (Summer School and Respublica, Moscow, Russia, 16 August, 2018)


Presentation slides are available here. The lecture was in English and discussions with general public in Russian.


Games and drawing activity about ecology for elementary schools (Indonesia, August 2018)

Activities for children inspired from our research about tree leaves diversity in Indonesia:

  1. Leaf sampling and identification with herbarium
  2. Drawing colorful leaf patterns
  3. Leaf sorting



Download the detailed description of the activities here.


Lecture on magma ocean and “dragons” of planetary formation
(Potsdam, Germany, July 2018)

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Video by Nasia Nikolaou is recorded at science slam: video link

Title: “Magma oceans: Searching for dragons in the beginning of (solar system) time.”


Lecture about astronomy and mathematics
(Caucus, Russia, August 2018)



Place of the lecture: (Balanpalar, Russia, 2018)

Download the detailed presentation here. Programs used for activities: free Stellarium.

Lecture-online made on graph theory problems (München, Germany, 2018)

Скриншот 16-05-2018 195925



Lectures on discrete mathematics and applications
(Nepal, November 2017)



Full slides can be found on slide-share-lectures (fractals) yadisk-website (random walks).


Lectures on climate dynamics
(Nepal, November 2017)

Slides for lecture on climate are uploaded here.



Lectures about mathematics for the smallest children are based on the book “Adventures of Kubarik” (“Приключения Кубарика”)




Slides from the lecture “Mathematics around us” in pdf from the summer school “Maths et etoiles”
(France, July 2018)




Lecture with mathematical demonstrations
(France, June 2018)

Great website from Mathematic Wolfram allows to make colourful demonstrations to students of all levels. Check their website here.