"MATH 3.0 Amazing Trip through History " - the project is supposed to inspire 3 upper-secondary schools from Iceland, France and Poland to combine historical context with new ICT tools to produce interesting and innovative educational materials. We lead out the methodology of the project from suggestions of HPM - the International Study Group on the Relations between History and Pedagogy of Mathematics (USA). In their opinion using history as a tool can awake better awareness and understanding of mathematical concepts. By combining the history of mathematics with new teaching technology, our project creates a link between the past and the future of mathematics. Therefore, our team aims highlight the concept of mathematics as a living science, a science with a long history, a vivid present and as yet unforeseen future. By studying the evolution of mathematical tools from those used in the ancient world to digital technology used nowadays we can better prepare our students to new possibilities of using mathematics in today's life. The project involves directly 18 students and 9 teachers, indirectly - 2600 participants. The latter number consists of remaining teachers and students from the partner schools, participants of events organised during the project, visitors of exhibitions, finders of geocaches, users of educational resources, participants of national teachers conferences and local educational fairs.We start our work from preparing a catalogue of Math problems for which historical context could be helpful for understanding them better, then we will collect necessary methodical, mathematical and historical bibliography. The next step will consist of preparing lesson scenarios based on a chosen section of Math. The Polish school will prepare scenarios to “The world of numbers”, the Icelandic school will work on Geometry, the French school on Algebra. After that we will work with the scenarios in every country and we will record their implementations. Consecutive blended mobilities organised by partner schools will be dedicated to other activities such as interactive ones e.g. a match, a game, a quiz, training activities e.g. Geogebra, SketchUp, project activities (creating models, tools, applications…) and of course recording 5 curriculum lessons inspired by history and proposed by the leader of the period. The activities during the meeting will include: an exhibition prepared by the hosting school, a collaborative outdoor activity in international teams, a mathematical treasure hunt run by international teams in the streets of the hosting towns, creation of 360° videos to promote the exhibition online, a local event for the dissemination of the project results and multicultural activities connected with the national host history of Math. The activities after the meeting will include: publishing materials in national open educational resources and OER, evaluation, writing reports, completing the Maths 3.0 booklet “The best examples of good practice” and making a film promoting the project.The first part of the project is planned by the school from Poland and it concerns the world of numbers. The exhibition of tools for counting is being prepared for a good start (an abacus, a slide rule, a simple calculator, applications for a smart phone such as PhotoMath). Students compare their skills in using of them in a game. As an interactive task we establish the “Scotch Book” based on the historical model invented by Stefan Banach’s wife in the Szkocka Cafe to present Math problems which were waiting for a solution . The book is to solve problems made up by teachers for students, or students to students with the proposals of prizes. Also there will be a geocaching event organised which will popularize solving mathematical puzzles in nature and a city game “Codebrakers” about breaking the Enigma code by Polish mathematicians during WWII. The meeting in Iceland is dedicated to geometry. The exhibition will show the measuring, drawing tools and space models. The activities will be connected with the achievements of Ancient Greeks (e.g. Eratosthenes experiment). We provide project work on preparing anaglyphs, models of solids and taking photos of them, playing with shadows, e-learning of Geogebra and SketchUp, exploring Google Earth for geometrical calculations of chosen buildings to compare with the way of doing it in the past. The meeting in France is dedicated to algebra. The exhibition using Augmented Reality will show the French mathematicians from the XVIth to the XVIIIth centuries. We will work on algorithms and create Android/online games based on AppInventor/GameMaker applications. We will take part in Mathematical Treasure Hunt in the streets of Charleville-Mézières, as in other towns during previous meetings. Among results not mentioned earlier we have to add new skills and attitudes of participating students and teachers (Europass, Youthpass).
"MATH 3.0 Amazing Trip through History " is a completed project realised with 3 upper- secondary schools from Poland, Iceland and France. We took advantage of history of mathematics to make our subject more humanistic, understandable and interesting. The 3.0 means that we combined it with innovative, modern digital tools to link the past with the future. It was a good idea which gave us a huge space to colaborate in the creative way with mathematical content. According to assumptions we started with the world of numbers. From the beginning of December to the end of May we have been counting. We were watching the process of evolution of numbers and tools through such activities like: presentations of pupil's favourite numbers with use of Augmented Reality or Google tools, preparing exhibition of counting tools, bilateral matches in counting on Soroban, slide rule and calculator between schools with use of videoconference - etwinning tool, exchange of videos from lessons made in 360 technology, outdoor games with use of GPS like geocaching or treasure hunting with use of Android aplications. Next step was dedicated to Geometry. This period of cooperation was leaded by Icelandic school. As an warming up activity we worked on cult film "Flatland".The next activity was to present the most interesting solids with use of ShetchUp or Tincercad. In that way we prepared a sort of virtual exhibition of solids. We also built solids in reality: from paper without glue, from plastic sticks or blocks and analyzed Platon solids. We cooperated in international teams to solve mathemathical problems, looking for treasure on Hafnafjordur streets and preparing dramatic scenes to develope our communication skills. Except of the educational values concerned with Maths and ICT there were other advantages of our project such as european culture awarness. We have known each other traditions and values, sense of humour and the way of life. It is something that can not be overestimated. The last period ended in France. It was full of colaborative activities like preparing scenes from famous matematicians' life, filling mathematical cards, building puppets and preparing short spectacles with use of them, treasure hunting in Charleville-Mezieres, quiz about Europe and building time-line with use of Augmented Reality. In result of that the exhibition about the most famous matematicians and their discoveries was established in the coridor of Lycée François Bazin. To replace the main results we have to start with the material onces: cameras in 360 technology, and Cardboards for pupils, blocks for building solids, tools for counting (among them there are some made by pupils), three mobile exhibitions (counting tools in Swarzędz, solids in Hafnafjordur, Time-line in Charleville-Mezieres). The most important results can be seen as "the know how" to use the modern tools to make Math more interesting, modern and creative and to make it more humanistic and understandable in result of using the historical context. The other impact depends on the development of conversation and cooperation skills of all participants of the project which was underlined in evaluation sheets by all participants. We are sure that especially the last results will change to longer-term benefits.