| Name | Country, University | Talk | Workshop |
|---|
| Endre Szemerédi | Hungary, Alfréd Rényi Institute of Mathematics | TBA | |
| Robert Fathauer received the B.S. degree in Physics and Mathematics from the University of Denver and the Ph.D. in Electrical Engineering from Cornell University. For several years, he worked as a researcher in semiconductor devices at NASA’s Jet Propulsion Laboratory. Currently he is the owner of Tessellations, a small business specializing in math-art connections, in which capacity he designs puzzles and manipulatives, writes books, creates mathematical art, and curates exhibits of mathematical art for both the Bridges Conference and the Joint Mathematics Meetings. Topics on which he has published include Escher-like tessellations, fractal tilings, and iterated knots. |
Building tessellated polyhedra
Participants will color and assembled polyhedra decorated with Escher-like tessellations. |
| Katja Fält (PhD) is an art historian and specialises in medieval ecclesiastic art in Finland. Her PhD thesis „Wall Paintings, Workshops, and Visual Production in the Medieval Diocese of Turku from 1430 to 1540” set out new information concerning a group of medieval wall paintings in Finland. Fält currently works as a post doc researcher at the Department of Art and Culture Studies in the University of Jyväskylä. |
| Lecture on Nordic Labyrinths
The lecture will provide an art historical and cultural historical perspective on labyrinths in the Nordic countries, exemplifying various aspects of their existance, creation and diversity in the pre-modern era. |
| Labyrinth Workshop
The workshop is practise-based with the intention of experimenting with contemporary creative means on how to construct labyrinth patterns. |
Kristóf Fenyvesi
Postdoctoral researcher of contemporary art and culture at University of Jyväskylä, Finland. Director of Community Events and Member of the Scientific Committee at Bridges Organization, USA (www.bridgesmathart.org). Director of Experience Workshop International Math-Art Movement (www.experienceworkshop.hu) and Art Curator of Eger's Ars Geometrica Gallery (www.arsgeo.hu/en). |
| Summer in the City, or Mathematics Goes Outdoors – Playful Education Beyond the School!
The growing technologization, digitalization, networkization and increasing complexity of our urban environments and everyday life making our surrounding reality highly mathematized. On various ways mathematics is structuring our society. Although, the abstractness of mathematics often raises difficulties and negative attitudes towards mathematics. The negative attitudes toward mathematics holds innumerable dangers. This can lead to the rapid weakening of the social equity and the equal access to the controlling systems -, which is the base of the democratic welfare state. One of our most important goals is to prevent the further growth of the 'math gap'! We have to re-discover the mathematics and math educational opportunities in our urban environment and turn them into “open-source” learning spaces. Parallely, we also have to enlarge the set of pedagogical tools and teaching materials to complement the STEM (Science, Technology, Engineering and Mathematics) with ART (through aesthetic, artistic, creative, playful, every-day-situation-, and evidence-based approaches). From STEM to STEAM! We have to go outdoors and explore what the city can contribute to our project. Topics: Exploration & Education in the city spaces, exploring the patterns of town, geotagged math maps, urban pop-up education, math-art in the city guerilla education, city as BIG DATA environment, education as integration, open source learning environments in the city, math-art against children poverty and public math-art workshops in multicultural areas of the city, playful learning by doing - maths education without language or formula. |
| Experience Workshop Hits Street, 1.: GET READY workshop for the participants of the summer school
With a large number of interesting modelling tools, beautiful artworks, interesting toys selected from Experience Workshop inventary and our with own playful ideas we prepare to invade the streets of Eger. This preparation can take place in a framework of a workshop on the afternoon program before Family Day. |
| Creative workshops for children, young people and adults at the Family Day: Experience Workshop Hits the Street, 2.: ACTION at the Family Day!
Together with the prepared Summer School participants and the Experience Workshop members we offer adventures on the the borderlands of mathematics and arts for the city inhabitants (kids, familie, etc.) who want to play with us. By taking use of the benches and different objects we find in the city, we transform the streets to open-source math-art learning environments. What we will do, it will be much more than constructing mathematical or artistic models. We will build intergenerational working communities! |
Miklós Hoffmann received his Master and PhD degrees in Mathematics and
Computer Science from the University of Debrecen, Hungary.
He teaches geometry in Eger, but also gives lectures at the University of
Debrecen in computer graphics.
He was a visiting professor at several universities, from Croatia to
France. His main fields of interest are geometric modeling and
constructive geometry.
He gave more than 50 talks in top-quality scientific conferences as well
as in little primary schools disseminating scientific results and
demonstrating the beauty of geometry.
More about the author: www.ektf.hu/~hofi
|
| How sharp is a curve - differential geometry in primary and secondary schools
In this talk we will discover the possibilities how one can introduce
basic differential geometric concepts and notions in primary and secondary
schools. Although calculus is deeply involved in the classical results of
differential geometry, and this calculus evidently cannot be applied at
these levels, we will find the way how the essential properties and the
beauty of various curves and surfaces can be shown for pupils as well. |
| Slavik V. Jablan (born in Sarajevo on 10th June 1952) graduated in mathematics from the University of Belgrade (1971), where also gained his M.A. (1981), and Ph.D. degree (1984). Participated in the postdoc scientific programs in Kishinev (Moldova, 1985), USA and Canada (1990). Fulbright scholar in 2003/4. Published a few monographs (Symmetry, Ornament and Modularity (World Scientific, 2002), LinKnot- Knot theory by computer (World Scientific, 2007) and webMathematica book Linknot (http://math.ict.edu.rs/), more than 80 papers on the knot theory, theory of symmetry and ornament, antisymmetry, colored symmetry, and ethnomathematics, and participated at many international conferences (Bridges, ISAMA, ISIS Symmetry Congresses, Gathering for Gardner, knot-theory and mathematical crystallography conferences) and created visual-mathematics course at FIT (Belgrade). The co-editor of the book Introductory Lectures on Knot Theory (World Scientific, 2012). The Editor of the electronic journal “VisMath" (http://www.mi.sanu.ac.rs/vismath/). As a painter and Math-artist has more than 15 exhibitions and the award at the International Competition of Industrial Design and New Technology CEVISAMA-'87 (Valencia, Spain). |
| Modularity in Art
Following the history of modularity in art, laying on the border between the art and mathematics, you will discover connections between Paleolithic ornaments, Roman mazes and labyrinths, Kufic writing, Celtic key-patterns and modern Op-art works, and explore the world of impossible objects, Celtic knotworks, Tamil, Lunda and Chokwe sand drawings... |
| Modular games
Many of artworks are based on the modularity and construction of different visual objects from prefabricated basic elements. In this workshop we would like to illustrate a few such visual concepts: the use of transparent elements in sculpture, the recombination of tiles for obtaining different patterns and the use of Op-art effects. For this we propose three constructions: production of a hypercube from a transparent hypercube net, 3D transparent Op-cubes by folding and gluing printed transparent elements, and an Op-tile game. |
| Art & Design Mathers
The University of Applied Arts Vienna will present projects of the Applied Design Thinking Lab Vienna in a lecture on 22st of july 2013. Applied Design Thinking LAB´s will take place every morning and afternoon session between 22.-26. July 2013. Aim of this Lab is to facilitate innovative solutions for complex problems through interdisciplinary collaboration. Applying tools of Design Thinking strategies, the participants develop their own specific art/design work for math education, inspired by peers, their own broad knowledge, interest of various topics, disciplines and empowered with creativity. Everyone is welcomed, passionate for mathematics, art and design or timid, experienced or novice. We appreciate to work in an interdisciplinary team. Participation without any previous knowledge is possible. Bring your sketchbooks, material you like to work with!
The design researcher Nigel Cross believes that Design Thinking “(…) is something inherent within human cognition; it is a key part of what makes us human”, and he argues that “we all design when we plan something new to happen, whether that might be a new version of a recipe or a new arrangement of the living room furniture” (Cross 2011, 3), or innovative math education. |
| Art & Design Mathers
The University of Applied Arts Vienna will present projects of the Applied Design Thinking Lab Vienna in a lecture on 22st of july 2013. Applied Design Thinking LAB´s will take place every morning and afternoon session between 22.-26. July 2013. Aim of this Lab is to facilitate innovative solutions for complex problems through interdisciplinary collaboration. Applying tools of Design Thinking strategies, the participants develop their own specific art/design work for math education, inspired by peers, their own broad knowledge, interest of various topics, disciplines and empowered with creativity. Everyone is welcomed, passionate for mathematics, art and design or timid, experienced or novice. We appreciate to work in an interdisciplinary team. Participation without any previous knowledge is possible. Bring your sketchbooks, material you like to work with!
The design researcher Nigel Cross believes that Design Thinking “(…) is something inherent within human cognition; it is a key part of what makes us human”, and he argues that “we all design when we plan something new to happen, whether that might be a new version of a recipe or a new arrangement of the living room furniture” (Cross 2011, 3), or innovative math education. |
| Ljiljana M. Radovic (born in Nis on 28th October 1969) graduated in mathematics from the University of Nis (1993), where also gained his M.A. (2000), and Ph.D. degree (2005) (mentor dr Slavik Jablan). Published more than 30 papers on the theory of symmetry and ornament, antisymmetry, colored symmetry, and ethnomathematics, knot theory and participated at many international conferences (Bridges, ISAMA, ISIS symmetry congres, and many Geometry conferences) and was included in creating visual-mathematics course at FIT ( MU Belgrade). Co-Editor of the electronic journal "VisMath" (http://www.mi.sanu.ac.rs/vismath/).Co author of the book "The Vasarely Playhouse" Published by the Association for South-Pannon Museums, Hungary, 2011, and co edithor and co author of the catalog „Experience-centered Approach and Visuality Kaposvár” , Hungary 2012. Working as Associate Professor, University of Nis, Faculty of Mechanical Engineering, Department of Mathematics at graduate and postgraduate courses on Mathematics, Descriptive Geometry, and Computer graphics. |
| Visual Mathematics in Education
Abstract: we represent some possibilities how different areas of visual mathematics (symmetry in art and science, isometric symmetry groups, similarity symmetry, modularity, antisymmetry, tessellations, theory of proportions, theory of visual perception, perspective, visual illusions, mirror curves, op-tiles) can be used as a tool of visual communication. |
| Mirror curve and knot design
Many of artworks are based on very simple construction methods. In this workshop we would like to illustrate a concepts of constructing Mirror curves and how to use them for art knot design. |
| Rinus Roelofs | Belgium, WENK | The interesting side of polyhedra | Building models |
Osmo Pekonen
Mathematician and historian of science, PhD, D.Soc.Sc., an editor of the magazine The Mathematical Intelligencer.
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| Myth and math: rendezvous with Venus
A lecture about the centuries-old chase of the planet Venus to measure the dimensions of our solar system, emphasizing the contributions of Hungarian scientists. |
Andrea Sollazzo
Graduated as architect in Rome (It) university "la Sapienza" I gained experience in the profession by working for several offices (OMA, Light Architecture, 123dv, Ney&partners…) with various profiles and ambitions in different European countries (France, Netherlands, Belgium ). Since the early studies I have always been very interested in the design process and methodology, in particular my research and my attention had been focus on the influence of the digital revolution in architecture. In the daily confrontation with the practice, I had the possibility of testing the real influence of the new technology and cultural frame that the digital revolution carried on, into the real design process, realizing all the quality and incredible potentials of it, but also facing the huge misunderstandings, misinterpretations, mistakes and limitations of the actual "contemporary" architects. After a publication about this topic ("digital Van Berkel. Diagrams, Processes, Models of UNStudio" edilstampa, It, 2011) a couple of years ago I started, parallel to my profession, also my experience as teacher in the "hoogeschool voor Wetenschap & Kunst" Sint Lucas, in the faculty of architecture. Here my interest in design method and relationship between architecture and the contemporary cultural and social frame have been even refresh and found new input and energy.
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| Architecture and geometry
The aim is to revaluate geometrical approach for space design. Experimentation of geometry as a language and tool for developing new special families. Understanding and interpreting the space as a definition of a set of rules. Physical space as representation of mental abstract space.
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| Physical space as representation of mental abstract space
The aim is to revaluate geometrical approach for space design. Experimentation of geometry as a language and tool for developing new special families. Understanding and interpreting the space as a definition of a set of rules. Physical space as representation of mental abstract space.
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Djurdjica Takači
Professor at University of Novi Sad, at the Department of mathematics, matematicians (got PHD in 1987 in Novi Sad). She teach Calculus at the University of Novi Sad, and in high school for tallented studets.
She has 35 books in serbian and english lenguage and more then 150 scientific papers. She works in the field of mathematical modelling, in particular in solving PDE.
Last fifteen years she is working in the field of mathematical education, in particular in mathematical modelling in education, by using different packages. Last few years she is using package Geogebra in visualizations different mathematical contends and doing research about students’ feedback after the lessons done with the computers.
She is working with teachers of mathematics in elementary and high schools, organizing accreditated Seminars and Schools.
She was mentor of 4 finished and is mentor in 5 almost finished doctoral thesis and lot of master thesis.
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Theoretical approach to mathematical modelling in teaching
We plan to the new trends in teaching and learning mathematics bz using the process of mathematical modeling based on literature (Kaiser, G.; Blum, W.; Borromeo Ferri, R.; Stillman, G.).
The whole process of mathematical in teaching, applied on special examples will be explained. All phases together with cognitive activities in a view of theory of J. Polya will be analyzed in details.
The listener will be asked to make suggestions of mathematical modeling procees.
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Mathematical modeling with Geogebra
We shall work on the visualization of the contends form the last grade of high school, i.e., of Calculus (from our curricula in Serbia) by using dynamic properties of Geogebra package.
Besides different graphs of functions, we shall make visualization for limits, derivatives and integrals and their applications, as well as fitting curves.
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Timo Tossavainen
I am university lecturer at Univ. of Eastern Finland and docent at Univ. of Tampere. I am also researcher of mathematics and mathematics education and interested in students’ understanding about mathematical concepts and how mathematical concepts have developed. |
| Extending our conception about perpendicularity
I tell about the axiomatization of the concept of perpendicularity and demonstrate with a few examples how our everyday is full of perpendicular relations. I also speak shortly about the axioms of parallelism since this relation is closely related to perpendicularity. This lecture is suitable especially for mathematics teachers and students and mathematicians. |
| Conceptual knowledge in mathematics – how to support students learning new mathematical concepts?
I introduce the participants with the variation theory, which is a theory about learning, and recents results about how we learn mathematical concepts in order to give mathematics teachers and students more tools to enhance the teaching and learning of mathematics. |
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