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Session Overview |
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| 10:30am - 11:00am | Coffee Fr AM: Coffee break | ||
| Georg-Cantor-Haus | |||
| 1:00pm - 2:15pm | Lunch I: Lunch (incl. Coffee break II) | ||
| Georg-Cantor-Haus | |||
| 4:15pm - 4:45pm | Coffee Fr PM: Coffee break and Poster presentation | ||
| Georg-Cantor-Haus | |||
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Visual introduction to modeling systems with delay 1University of Szeged, Hungary; 2University of Szeged, Hungary
Delays can appear in many phenomena in the Nature, and hence delay systems appear in many fields of Sciences. Their mathematical theory is quite new. Since understanding needs deep mathematics, hence only advanced courses deal with delay systems in mathematical curricula. On the other hand, undergraduate math and even science students should have a first impression of delay systems.
In our talk, we consider the didactic problems of teaching delay systems to students without or partly having the required knowledge. We present a short easy-to-understand visual way of introducing delay systems with the help of series of dynamic demonstrations developed in Mathematica. The basic concepts, properties, the difference between systems without and with delay are treated via elementary examples. We also give applications appearing in engineering and sciences. The interactive demonstrations will be available on our website www.model.u-szeged.hu.
COGNITIVE-VISUAL APPROACH TO THE TEACHING TOPIC "DERIVATIVE OF A FUNCTION 1University of Novi Sad, Serbia; 2Gimnazija Pirot
This paper presents the problems based on the examining functions and their properties with the use of derivative. The main idea is to analyze function and its derivative without using their analytical expressions. The package Geogebra is used for presenting visualized problems.
Key words: graph, function, derivative of function, visualized problems, cognitive-visual approach
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| 10:30am - 11:00am | Coffee Sa AM: Coffee break and Poster presentation | |
| Georg-Cantor-Haus | ||
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Several Aspects of Using Computer Supports for Mathematics Learning of Foreign Students from the CIS (Countries of Independent States) G. S. Skovoroda Kharkiv National Pedagogical University, Kharkiv, Ukraine
The article is devoted to peculiarities of foreign students training in a modern computer environment. Special attention is given to the problems which are relating in studying of mathematical disciplines. The problems of graphical solution of mathematical and computer tasks with using modern computer technology and visual facilities are discussed.
From real world to derivative – How to effectively include mathematical modeling and GeoGebra in mathematics education 1University of Novi Sad, Serbia; 2Technical Colegge of Applied Sciences, Serbia
Direct application of innovative teaching method based on principles of mathematical modeling is illustrated by example of the teaching unit related to introducing the concept of the first derivative processed by using mathematical modeling as teaching method and GeoGebra as software tool. Step by step procedure of making mathematical model is explained – from starting preparation, to implementation of the mathematical model and drawing conclusions from it.
The positive effects of mathematical modeling and GeoGebra as software tool to better understanding, the creation of advanced mathematical thinking, and the application of mathematical theory on solving real world problems are presented and illustrated.
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| 1:00pm - 2:15pm | Lunch II: Lunch (incl. Coffee break V) | |
| Georg-Cantor-Haus | ||
| 4:15pm - 4:45pm | Coffee Sa PM: Coffee break and Poster presentation | |
| Georg-Cantor-Haus | ||
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Visual introduction to bifurcations University of Szeged, Hungary
Investigating the dependence on parameters is essential in studying dynamical systems. In particular, the bifurcation theory is getting more and more important in most fields of engineering and sciences. Nevertheless, these theories are hardly included in standard university curricula.
We will give an intuitive introduction with the help of dynamic demonstrations developed in Mathematica. We consider elementary examples of both difference and differential equations presenting different types of bifurcation. During the whole treatment, we keep in mind the real didactic “contradiction” that the students do not or only partly have the required knowledge. The interactive demonstrations will be available on our website www.model.u-szeged.hu.
MEASURES OF GEOMETRIC OBJECTS AS THE LIMIT VALUES 1University of Novi Sad, Serbia; 2Elementary school of Nis; 3Faculty of Mechanical Engineering Nis
The idea for this work is based on the visualization of the limit process in elementary school. The circumference of a circle is obtained visually starting from the perimeter of regular polygon. The volume of cylinder is obtained visually starting from the volume of prism.
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| 10:30am - 11:00am | Coffee Su AM: Coffee break and Poster presentation |
| Georg-Cantor-Haus | |
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Mathematical Modeling of Material Experiments in High School 1University of Novi Sad, Serbia; 2Eklementary and hogh School Ruski Krstur
Mathematical modeling can be applied in high school trough different real world situations. In this paper we present how can material science experiments be used for introducing students with interdisciplinary scientific approach. Using high school mathematics knowledge and Geogebra students can easily discover contents of contemporary Science.
Electronic Trainers for Successful Math Teaching to Pupils of Primary School G.S.Scovorodu Kharkiv national pedagogical university, Ukraine
Primary school is undergoing significant changes, which are associated with rapid updating of information technology and high level of informational activity of children. In primary school, they focus on the formation and improvement of subject knowledge and general study skills. One of the modern ways of forming general study and subject skills by younger pupils is use of electronic trainers. Electronic trainers feature an ability to provide real variability of tasks, uniqueness of exercises, operative assessment of correctness of each task, adjustment of task difficulty, ability to provide a shade of competitiveness and gaming to the exercises. To develop electronic trainers teacher can use programs that are part of the integrated Microsoft Office package and designing environments. There are some examples of electronic trainers for younger pupils.
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| 1:00pm - 2:15pm | Lunch III: Lunch (incl. Coffee break VIII) |
| Georg-Cantor-Haus | |
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| 10:30am - 11:00am | Coffee Mo AM: Coffee break and Poster presentation | |
| Georg-Cantor-Haus | ||
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Computer Modeling in Mathematics Training of Future Civil Specialists 1G.S.Scovorodu Kharkiv national pedagogical university, Ukraine; 2Department of Physics and Mathematics Sciences National University of Civil Protection of Ukraine
Computer modeling is a significant indicator of professional competence for future civil safety specialists, whose professional activities include an ability to apply computer modeling to solve various professional problems by choosing appropriate computer systems.
The above said determines the content of educational process of future civil protection specialists in computer modeling teaching, which goes beyond the applying of ready-to-use computer models and involves thorough improvement of computer modeling skills required for the implementation of all phases of construction of the model and its research. The system of computer modeling skills formation, which covers all periods of educational process (basic mathematics level, interdisciplinary level, professional level). Development and use of computer simulation has a positive impact on the training of future professionals in general, bringing the motivational component in the learning process, facilitating the mapping of interdisciplinary connections, the integrated use of knowledge of the various sciences, enhancing the importance of self-learning and cognitive and research students. A dynamic introduction to fractional calculus 1University of Szeged, Hungary; 2University of Novi Sad, Serbia
Fractional calculus, i.e., calculus of derivatives and integrals of fractional order are getting more and more important in applications, in particular in oscillation theory, biology, etc… However these notions are not part of any standard university curricula, mainly due to the deep mathematical theories needed.
In our talk, we will present a series of dynamic demonstrations developed in Mathematica and Geogebra. We give an interactive introduction to different definitions, properties of “diffintegrals” by simple examples to both math and applied students. The interactive demonstrations will be available on our website www.model.u-szeged.hu.
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| 1:30pm - 2:45pm | Lunch IV: Lunch | |
| Georg-Cantor-Haus | ||
