Papers by Eleonóra Stettner
During the last years a program of Experience Workshop on Mathematics organized creative day meet... more During the last years a program of Experience Workshop on Mathematics organized creative day meetings for teachers and students on the topics of joyful, constructing mathematics. One region of the mathematical construction was the space.
Regional and Business Studies, Feb 15, 2009
Abstract. This is a continuation of [16] where the complete diagram of metric normalizers of the ... more Abstract. This is a continuation of [16] where the complete diagram of metric normalizers of the fundamental group G = ⊗ 3 in Isom H 2 will be determined (Table 2). Thus we completely classify the symmetry groups N/G of the 3 − surface, i.e. the connected sum of 3 projective planes, into 12 normalizer classes, up to topological equivariance, by the algorithm for fundamental domains, developed in [9], [10], [11] and [15], aided by computer. Our algorithm is applicable for any compact surface with exponential complexity by the genus g. 1.
Introduction: During the last years a program of Experience Workshop on Mathematics organized a c... more Introduction: During the last years a program of Experience Workshop on Mathematics organized a creative day meetings for teachers and students on the topics of joyful, constructing mathematics. One region of the mathematical construction was the space. The program visited several towns in Hungary where it and resulted in great impact on teachers and students in the region. We report here how these activities helped space relation teaching. Example method : Stimulating curiosity. That is one of the goals in an approach when initially an object is selected, - say a circular array made of modular units. We imagine that this circular structure is a model of a space station. We depict it with the software Wolfram Mathematica, which allows interactive manipulation of any parameter of the graphical object. While designing a space station like this, we can think about the mathematical and geometrical knowledge necessary for the construction, as well as those which can be associated with th...
In the framework of the CrossBorderScience Project we launched an international program for Hunga... more In the framework of the CrossBorderScience Project we launched an international program for Hungarian and Croatian high school students, based on experience-centered learning methods of mathematics and physics through visual arts. The events took place in Hungarian and Croatian venues. This presentation provides a short overview of
This paper summarizes the ideas and background of a combinatorics research and teaching project, ... more This paper summarizes the ideas and background of a combinatorics research and teaching project, including historical reforms in school curriculum in 1978 in Hungary and T. Varga’s work. Thereafter we discuss the main elements of our current project: pretest and developed teaching materials, including worksheets with some examples and some tools for teaching combinatorics such as Poliuniversum. In choosing the problems of the worksheets we were led by two research questions: (1) how students handle open tasks (which are presented in many combinatorial problems) and (2) how they use various manipulatives at different ages.
If we are asked to visualize a Möbius band, we do n ot think first of its symmetry. However, if w... more If we are asked to visualize a Möbius band, we do n ot think first of its symmetry. However, if we make a model of a Möbius band with a computer program (for example, with Maple) a nd examine its boundary from different points of vi ew, we get various interesting, symmetrical figures. A model of a Möbi us band can be constructed by joining the ends of a strip (long rectangle) of paper with a single half-twist. It is interesting t o observe how the resulting band transforms as we v ary the ratio between the long and short sides of the rectangle. When will the sur face intersect itself? We shall analyse these probl ems with multiply-twisted strips. The second part of this article deals with the connection between the Möbius band and frieze p att rns.
At the University of Kaposvár in BSc and BA education we introduced a new course for the first ye... more At the University of Kaposvár in BSc and BA education we introduced a new course for the first year students. This course has two objectives. The first year students have significant differences in mathematics. My colleague Klingné Takács Anna writes about this problem in his articel. We use Microsoft Excel to solve and illustrate mathematical problems in Calculus and Excel Solver in Optimization. I will write about why we use Excel and I would like to demonstrate how we harmonise the traditional education of the mathematics and the opportunities provided by the Excel. Change in numbers of mathematics classes Let's have a look how the number of periods have changed compared to the one before the introduction of the Bologna process. Now there is Finance and Agricultural rural development to offer for the students at Kaposvár University at the Faculty of Economic Science. I compare the number of mahs classes to the number of maths classes at 5 year long university courses with similar content. Before 2006 undergraduate students studied for 5 year at Business and management course and Agribusiness course. Subjects and number of subjects per week taught by Mathematics Departement it can be seen in the first two lines of my table. Since the beginning of Bologna process Finance and Agricultural rural development courses are run. The latter two can be seen in lines 3 and 4.
Proceedings of ISIS Summit Vienna 2015—The Information Society at the Crossroads, Jun 23, 2015
Teaching Mathematics and Computer Science
Journal of Agricultural Informatics
Acta Didactica Napocensia
In this article we are analyzing which spherical symmetry groups can be found and which ones cann... more In this article we are analyzing which spherical symmetry groups can be found and which ones cannot among the eggs with wax-resist patterns most frequently used in the Carpathian Basin. We are also trying to answer the question why exactly these symmetry decorations can be found. Before that, we are providing a review on the history of decorating eggs and of the abovementioned decoration technique. By publishing this article, our unconcealed aim is also to make this tradition and the related precious patterns more widely known. The author of the second chapter of the article is Rózsa Nienhaus, the founder of the Egg Art Museum.
Teaching Mathematics and Computer Science
It was organized by the Department of Mathematics and Physics. The 67 participants-including 5 in... more It was organized by the Department of Mathematics and Physics. The 67 participants-including 5 invited lecturers and 54 lecturers-came from 5 countries and represented 16 institutions of higher education. After the welcome speech of professor János Kelemen, who is the deputy dean of education of Kaposvár University, the conference was opened by associate professor Eleonóra Stettner, head of the Department of Mathematics and Physics. She welcomed the participants and asked the first two invited lecturers to hold their presentations about the light cocktail made by a physicist and the polynomial complexity of pivot algorithms on network flow problems. After a short break, in the next plenary session, the chairman of which was Sándor Molnár-the president of the Programme Committeethe topics of the presentations were: Erode or enhance? The "Digital Immigrants" dilemma of "Digital Natives" learning of mathematics, and the GEOMATECH competition in Hungary. On the second day of the conference educational and research experiences and results were presented by the participants, which were then discussed in small session groups of mathematics, physics, computer sciences and Experience Workshop of art, science, play, innovation and education. In the afternoon of the second day the participants were invited to take a guided tour at the Rippl-Rónai Museum and in the town, and in the evening they visited the
Interactive Learning Environments
An educational computer game is presented, used for beginner students to introduce some basic con... more An educational computer game is presented, used for beginner students to introduce some basic concepts of code execution and code writing. In this mini-language microworld game, a code should be written with which a robot can escape from a procedurally generated labyrinth. The game uses a simple language and utilizes a virtual environment, where code execution could be tracked easily. One essential advantage of the software is that after a very short training, students can start experimenting, and they can understand many basic properties of code writing and execution. Based on several pilot teaching classes in both primary schools and universities, the game is an efficient tool to introduce the bases of computer programming, which bases might be harder to demonstrate with other educational tools.
Proceedings of ISIS Summit Vienna 2015—The Information Society at the Crossroads, 2015
Symmetry: Culture and Science
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Papers by Eleonóra Stettner