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Concept systematization with concept maps in data modelling
149-166Views:35An important goal of concept learning is that students can allocate concepts in the hierarchical system of concepts. In the data modelling course, first, we supported concept systematization with worksheets in which the students had to fill in the blank hierarchical figures of classification of the concepts or blank Venn diagrams describing the relationships between concepts. The hierarchical systems, however, are somewhat restricted to the description of connections. The filling in Venn diagrams did not deliver the expected result, so our attention turned to concept maps. In this paper we introduce the concept maps we drew. Then we evaluate the results of concept mapping survey conducted among students. The survey was done in three courses. We compare the results of our survey with the result of an earlier concept systematising survey. -
The "Teaching Mathematics and Computer Science" Journal logo's mathematical background
55-65Views:3In the present contribution we give an elementary technology for drawing the geodesics, paracycles and hypercycles on the pseudosphere. -
Notes on the representational possibilities of projective quadrics in four dimensions
167-177Views:8The paper deals with hyper-quadrics in the real projective 4-space. According to [1] there exist 11 types of hypersurfaces of 2nd order, which can be represented by 'projective normal forms' with respect to a polar simplex as coordinate frame. By interpreting this frame as a Cartesian frame in the (projectively extended) Euclidean 4-space one will receive sort of Euclidean standard types of hyper-quadrics resp., hypersurfaces of 2nd order: the sphere as representative of hyper-ellipsoids, equilateral hyper-hyperboloids, and hyper-cones of revolution. It seems to be worthwhile to visualize the "typical" projective hyper-quadrics by means of descriptive geometry in the (projectively extended) Euclidean 4-space using Maurin's method [4] or the classical (skew) axonometric mapping of that 4-space into an image plane. -
Teaching XML
317-335Views:27The author has been teaching XML at the Faculty of Informatics, University of Debrecen since the end of the nineties. This paper gives an overview of XML technology from an educators viewpoint that is based on the experience that the author has gained teaching XML over the years. A detailed description of the XML course is provided. Methodological issues are also discussed. -
Teaching model-based testing
1-17Views:1167Different testing methodologies should play an important role in the education of informatics. In the model-based testing (MBT) approach, the specification of the system is described with a formal model. This model can be used to revise the correctness of the specification and as a starting point for automatic test generation. The main problem with MBT is however, that there is a huge gap between theory and practice and that this approach has a high learning curve. To cope with these problems, current paper shows, how the MBT approach can be introduced to students through a small scale example.
Subject Classification: P50
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Metadata and education
325-343Views:30This article is a (possible) conceptual educational model, which introduces data representation, information storage and retrieval possibilities on the Web in a way analogous to the levels of organization of metadata.
The model uses the traditional library and information systems as a starting point, referring to the levels and types of information organization, and describes directions of its development. General acquaintance with the dominant organizational levels and types helps to understand the information organization on the internet, the coexistence of both structured and unstructured elements, the closedness and deficiencies of the content of information, and also helps to find possible ways of correcting these deficiencies. One of the main advantages of model-driven approaches is that they, by using the well-known classical systems, make tangible the development of physical and content data organization types and levels of organization of information for medical students that usually do not possess informatics knowledge.
The conceptual model presented in details in the article can provide a basis for a general introduction to metadata and to develop curricula equally appropriate for traditional face to face classes, trainings and online courses. -
Methods of teaching programming
247-257Views:41Programming methodology is one of the oldest fields of IS education, and thus various methods have evolved for its teaching. While some of them could be used effectively in primary or secondary education, others are more suited for students in higher education. The methods themselves determine the structure and curricula of courses such as Programming methodology, Data types and algorithms, Programming technology. -
Teaching multiparadigm programming based on object-oriented experiences
171-182Views:22Multiparadigm programming is an emerging practice in computer technology. Co-existence of object-oriented, generic and functional techniques can better handle variability of projects. The present paper gives an overview of teaching multiparadigm programming approach through typical language concepts, tools in higher education. Students learning multiparadigm-oriented subjects would gain considerable expertise, which is highly needed by the industrial side in large-scale application development. -
Synthesis of concurrent programs
301-317Views:29Students need a well defined method to be successful in the complex process of writing a concurrent program. In this paper we show a step by step method to create such programs. The method based on UML which has been thought to students during previous courses. UML provides standard and relatively simple tools to describe concurrent systems, and from the description the program can be derived.
First we give a brief introduction to the concurrent systems. This is followed by the description of the method, and finally we demonstrate the method on a small problem. -
Numerical mathematics with GeoGebra in high school
363-378Views:34We have prepared a suite of motivational examples which illustrate numerical methods for equation solving. Fixed point iteration, Newton's method, secant method and regula falsi method are implemented as GeoGebra tools. Our experience in teaching of numerical mathematics in "Jovan Jovanovic Zmaj" high school in Novi Sad is presented. We have tested pupil proficiency in numerical equation solving with and without use of a computer and the results are presented. -
How to teach computer programming if our goal is the International Olympiad in Informatics
13-25Views:32Nowadays if a student in Hungary (age between 17-20 years old) wants to be the member of the Hungarian selected team (has four members) to participate in the International Olympiad in Informatics (IOI), first, he has to qualify himself in the first fifteen of the National Secondary School Competition (OKTV) in the programming category after the III. round. Then he should be in the first four place after the sixth round of the Selection Competition. Being successful is necessary that the student wants to start studying computer programming at least in the 9th school year and he needs a teacher who prepares him. In the last nine years three students of the author have participated in five Olympics and two of them won gold and bronze medals. This article wants to demonstrate the methods that a teacher needs to use to teach students in 9th school year for computer programming, to be the member of the Hungarian National Team after three or four years. -
Modelling and simulation in education and the NetLogo simulation environment
229-240Views:29Just like real experimentation, computer simulation is a method for understanding the world. In the present paper I will demonstrate its possible didactic advantages and application potentials. The displayed simulations, which will be analyzed in a separate section, were all made in the NetLogo environment, one of them by the author himself. -
Teachers and the interactive whiteboards
281-298Views:24The spread of IWB (Interactive WhiteBoard) around the world changes, reforms and modernizes the traditional teaching methods. We can find these new ICT devices in more and more schools in Hungary as well and the use of it is getting widespread in everyday teaching. The teachers have the greatest role in the proper use of IWB during the lessons and they are also responsible for providing students with creative and motivating tasks lesson by lesson. In the following research, the advantages of the IWB are highlighted, the difficulties of its usage and the teachers' attitude towards the new ICT devices by asking 205 teachers from different primary and secondary schools. The results are mainly based on questionnaires. -
Equivalence and range of quadratic forms
123-129Views:7If two quadratic forms are equivalent, that is, if there is a linear transformation with integer coefficients and determinant 1 or −1 which takes one form to the other, then their ranges are the same and also their determinants are the same. The result of the paper is that for positive definite binary quadratic forms the converse is also true. Namely, if two positive definite binary quadratic forms of the same determinant have the same range, then they are equivalent. The arguments are guided by geometric considerations. -
Engineering and Economic Mathematics for Engineering Management Students
35-50Views:30In this article we describe the first part of a case study, which was made with 48 Engineering Management students. The participants of the case study were MSc level students at the Szent István University, Gödöllő. We looked for methods by which we can support the most important components of competence motivation and the development of mathematical and other key competences during the mathematics lessons and individual learning. Another goal of our research was to get reliable information about students learning methods and their awareness of self-efficacy, furthermore their achievement in the subject of Engineering and Economic Mathematics. Detailed assistance was provided for the students in the e-learning portal. Knowledge tests, questionnaire and personal interviews with the students were also used. As an example we introduce one of the knowledge tests connected with the first half of the course about linear programming and graph theory. We detail its didactical background and show the results of the students. -
Expressiveness of programming languages and environments: a comparative study
111-141Views:28In written and oral communication tools, the support of the understanding of our message have an important role: we can increase the expressiveness and the level of understanding of our topic by approaching it in several ways, i.e. in written methods by highlighting the important parts; in oral by changing tone and other elements of non-verbal communication. In this paper programming languages and developing environments are compared with each other in terms of their methods and their level of support to the solution of programming tasks.
There is a need to have these tools in programming and, of course, in teaching programming. What are the factors that define the distinctness and the legibility of a program? What are the basic principles which give an instrument in programmers' and students' hands in order to create a properly working program from already existing algorithms in the most efficient way? We search for the answers to these questions in this paper. -
Gaussian iteration of mean values and the existence of 2^(1/2)
35-42Views:30We propose a method for proving the existence of √2 and finding its approximate value in secondary education. -
The hyperbola and Geogebra in high-school instruction
277-285Views:30In this article the results of teaching/learning hyperbola and its characteristics in high-school using computers and GeoGebra are shown. Students involved in the research attend Engineering School "Nikola Tesla" in Leposavic, Serbia. The aim of the research was to define ways and volume of computer and GeoGebra usage in mathematics instruction in order to increase significantly students' mathematical knowledge and skills. -
Let's learn database programming in an active way
213-228Views:16This paper introduces how I applied the "learning by doing" method in the education of advanced knowledge of database systems in Software Engineering BSc program. The first goal of my method is to enable the students to use the PL/SQL and SQL as a skill, namely they get a practical competence which can be immediately used in business. In the laboratory the students independently practise the material learnt on the lecture. They get feedback for all their activities from the teacher. A software system helps administer the solutions, automatically verifies the syntax of them and helps the teacher to evaluate them. The paper summarises the results of three semesters. In the last year I compared the active learning method with the traditional method. I asked the students in a voluntary survey about the active learning method. -
Analogous programming with a template class library
135-152Views:40In this paper, a template class library and its usage can be read. The classes of the library contain the C++ code of the algorithm of programming theorems. This library supports the implementation of the programs that are planned by analogous programming but the primary aim of its usage is to introduce the object-oriented programming style to show how a reusable code can be written with inheritances, overriding virtual methods, composition of objectcs and template parameters. -
Report of Conference XL. National Conference on Teaching Mathematics, Physics and Computer Science August 22-24, 2016 Székesfehérvár, Hungary
259-276Views:7The XL. National Conference on Teaching Mathematics, Physics and Computer Sciences (MAFIOK) was held in Székesfehérvár, Hungary between 22 and 24 August, 2016 at the Alba Regia Technical Faculty of Óbuda University. For the three-day event, more than 80 persons were registered and more than 40 lectures were given. The fortieth anniversary scientific conference was designed for researchers and teachers in mathematics, physics and informatics to promote modern and efficient education in higher education, and through poster presentations and personal meetings to exchange experience. The opening ceremony of the conference followed by the three plenary lectures took place at the ceremonial hall of the Town Hall. ... -
GeoGebra in mathematics teaching
101-110Views:41GeoGebra is a dynamic mathematics software which combines dynamic geometry and computer algebra systems into an easy-to-use package. Its marvel lies in the fact that it offers both the geometrical and algebraic representation of each mathematical object (points, lines etc.). The present article gives a sample of the potential uses of GeoGebra for mathematics teaching in secondary schools. -
Motivating students with projects encompassing the whole duration of their studies
165-180Views:20Based on my ten years of teaching experience at the University of Debrecen, I can say that students majoring Software Information Technology BSc have to face a number of difficulties during their studies. I think these difficulties root from two main problems: students are unmotivated and cannot sense the coherence between the knowledge acquired in the various courses. This paper tries to give some alleviation to both of these problems by the idea of introducing some long-term projects to students, which they can work on throughout their studies, dealing with a particular aspect of the projects in each course. -
New style in teaching word processing
417-426Views:30Teaching word processing is confined to looking through some menus and showing some functions of a word processor program, although technology presents just a small part of forming layouts. This fact causes that people who are writing documents spend a lot of time by trying to form, e.g., title pages or inner pages.
The present paper deals with a design of an online course on word processing that fits better the needs of many users. The online course is designed for teaching (LA)TEX by leading the students to the technical issues of the typesetting system through layout and grammar rules: demonstrates the most important basic recommendations of typography and grammar rules through samples, and shows how to program the currently displayed layout in the (LA)TEX programming languages. This methodology suits better the common working habit, and can be a useful help in word processing documents. -
Teaching performance testing
17-33Views:83Performance testing plays a vital role in the verification of large scale software systems. It is used for testing the speed, responsiveness, capacity and stability of the investigated system. However, despite the significance of this topic, the effort invested in teaching performance testing in Computer Science is insufficient. The current paper shows, how the fundamentals of performance testing can be demonstrated to students both from a theoretical and a practical viewpoint through step-by-step practical examples that are used in the industry. It is also discussed how a basic toolchain can be set up for performance tests using only free tools. With the presented examples, the reader will be able to take first steps in the performance testing area.
Subject Classification: 68M15