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Application of Mathematics in Physics and Chemistry in Secondary School
33-38Views:88In the frame of the project EFOP-3.6.1-16-2016-00022 „Debrecen Venture Catapult Program" a material was elaborated in which I summarize the most important applications of high school mathematics in physics and chemistry. It is important for the students to see that teaching mathematics is not self-serving but it can be applied in many problems in different natural sciences.
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Classical and applied mathematics in secondary school
404-407Views:65In a secondary school I wrote a test with similar abilites student. In one class students had to solved applied mathematics exercises, in other class there were pure mathematics exercises. I anayzed the results.
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Using Mathematical Models in Secondary Grammar Schools
76-83Views:37On February 11, 2021, I gave a motivational lecture at the Tamás Esze High School in Mátészalka, and I completed a series of test tasks with the students. In this article, I looked for an answer to how students who are about to graduate approach to solving math problems. The main objective was to investigate whether they prefer to solve purely mathematical or application-oriented tasks, and in which one they achieve better results. In this paper, I analyze the results obtained.
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An Economical Mathematics Model
39-44Views:75In the frame of the project NTP-NFTÖ-17-C-159, one of my main tasks is to present the possible applications of teaching mathematics in high schools and in higher education. Beside this, I would like to illustrate that, in many cases, how useful and, in certain cases, indispensable the use of mathemathical softwares is during the solution of a complex problem.
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Development of engineering and innovation skills
364-369Views:138Spatial visualization skills have an important role in teaching and learning of engineering studies. Many studies have shown that there are correlations between various measures of spatial skills and performance in particular Science, Technology, Engineering and Mathematics (STEM). Many engineering students have problems with solving mathematics problems, using mathematical models in practice, imagining a spatial figure and therefore to solve the spatial geometry exercises, so development of these abilities is very important. We have developed special tools and worksheets for development of engineering and innovation skills.
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Online self-learning
542-553Views:165In this paper four short sessions are reviewed in the theme of introductory programming. The sessions were performed in four different student groups from the age twelve to seventeen in two different schools. The paper summarizes important input and output properties of the groups, like the preliminary studies of Informatics and the grades in both Informatics and Mathematics – if available – also the results of the learning process during the sessions. The focus is on the skills of programming and self-learning, and the differences of it in respect to the age, the gender and the preliminary studies.
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About a Math Textbook for Engineering Students
132-138Views:83What is the optimal amount of the theory in engineering mathematics education? How to be precise and effective at the same time? We present an attempt to answer these questions by a textbook containing higher level mathematics, especially calculus, for engineering students.
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Modeling the Thermal Behavior of Permanent Magnet Synchronous Motors
466-477Views:133The aim of this study is to present a thermal analysis of a permanent magnet synchronous machine based on finite element method. The developed model can be used to predict temperature distribution inside the studied motor during the rated operation. Electromagnetic computation is carried out with the aid of two 2D finite-element (FE) simulations on the cross-section of the PM motor. To analyse the process of heat transfer in an electrical machine, empirical correlations are used to describe the convective heat transfer from the different surfaces of the PM motor. The heat transfer coefficient is determined using dimensionless numbers and Nusselt number. After the loss calculation, the temperatures of the machine are calculated by using 3D finite element method. The results obtained by the model are compared with experimental results from testing the prototype electric motor.
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Study on Mathematical Competence and Attitude of Engineering Students
43-55Views:190Efficiency of the learning process is in the focus of studies dealing with the Hungarian higher education, including engineering education. The efficiency can be evaluated if the required competences are declared and systematically controlled. In this paper the results of a graduate student survey is presented. Students taking part in the survey have got a bachelor's degree in engineering and are first semester students presently in different engineering master programs. Mathematical thinking ability and creativity, as important competences in studying mathematics were measured with the questionnaire, rather than formulas and complicated calculation methods. Students’ experience in studying and applying Mathematics were asked in the first part of the questionnaire.
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Application-oriented Mathematics Education at the Faculty of Engineering, University of Debrecen
36-42Views:153At the Department of Basic Technical Studies, Faculty of Engineering, University of Debrecen we have been dealing with the methodological reforming of mathematics education for more than ten years now. The recently published course book “Mathematical Tools in Engineering Applications” is the result of this long term creative work. The book presents the applications of the most important mathematical tools (vectors, matrices, linear functions, complex numbers, differential and integration calculus) in the different fields of engineering, natural sciences and economics. The aim of the authors with the recent publication is the presentation and popularization of the above book together with the educational and methodological trend it represents.
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Implementation of the Heinrich Spatial Visualization Test in a Virtual Environment
1-8Views:189A virtual environment was developed for PC and Android to be used with a desktop display and the Gear VR, respectively. The goal with it is to measure and enhance the spatial skills of people, because the latter can be achieved by solving simple geometric problems. Originally, this virtual environment consisted only of three such tests, namely the Mental Rotation Test, Mental Cutting Test and Purdue Spatial Visualization Test. Measurements were done in the past with these tests, but now the Heinrich Spatial Visualization Test is also included in the virtual environment. In this paper, its implementation and future measurement plan are presented.
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Applied Mathematics exercises in a secondary grammar school lesson
554-559Views:154In the frame of the project EFOP-3.6.1-16-2016-00022 „Debrecen Venture Catapult Program" on may, 2019, I maked a test and it was completed by a secondary grammar school students in Mátészalka. In this lesson there were many exercises that showcase the different applications of mathematics.
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Concept Images of Primary School Students and University Students About Function
114-122Views:288The concept of function is fundamental importance to the mathematics. Since the most mathematical concept is not acquired in one step [13], thus we have to take a long journey for developing of the function concept. One of the aim of this process to develop an effective concept image which have an important role in problem solution. The students decides on the basis of a concept image whether a given mathematical object is an example or nonexample of the concept. (Vinner & Dreyfus, 1989). In this paper we are looking for the answer of the following question: what are the concept image of the function concept formed of the students by the end of the primary school (8th grade) and the first year engineering university students?
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Engineering Spatial Ability and Spatial Geometry – Research Experiences 1.
383-387Views:96Spatial visualization skills have an important role in teaching and learning of engineering studies. Many studies have shown that there are correlations between various measures of spatial skills and performance in particular Science, Technology, Engineering and Mathematics (STEM). Many engineering students have problems with imagining a spatial figure and therefore to solve the spatial geometry exercises, so development of spatial ability is very important. We have developed special tools and worksheets for development of spatial abilities
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Algorithmization in Playful Way
105-111Views:81In the “Extending the Technical Researcher Capacity, Developing Research Services and Building a Knowledge Square in Engineering Education” sub-program of the EFOP-3.6.1-16-2016-00022 "Debrecen Venture Catapult Program" project a research group on engineering and innovation skills was founded. This team undertook to develop skills development workshops for high school students in connection with mathematics, physics, descriptive geometry and informatics topics. In this paper the "Algorithmization in playful way" workshop will be presented, where we develop the student's algorithmic skills by playing computer games.
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Investigation of the Luxury Yachts Condition and Their Maintenance
95-105Views:138Surveying the condition of yachts and their maintenance is of great importance for their functionality and efficiency. Finding the right approaches, expertise at different levels, design benchmarking are essential for all yacht maintenance and security, resulting in crew and passenger safety. This report presents an evaluation and expertise in a real environment and documentation of decision-makers for the strength and functionality of a luxury motor yacht. For a good understanding of the problem, detailed photographic material has been documented showing in detail the required technical corrections. The research would be of interest to a wide range of yacht design and industry professionals, academic and research representatives, yacht users and all interested stakeholders.
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A numerikus számítások szerepe a műszaki modellekben
76-83Views:106Application of numerical methods and stochastic approach should have a bigger role in the Mathematics programme of the secondary schools. Studying economic and engineering problems leads to better understanding of the significance of mathematical models in practice. In our mini-course we introduce several topics related to mathematical modelling of systems and processes to present the applicability of mathematical calculation methods in the everyday life.
