Teaching Mathematics and Computer Science (DE-journals)
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Tétel Szabadon hozzáférhető survey on how students seek information on the internet(2006-06-01) Krausz-Princz, MáriaNavigating among the information available on the Internet has become an expectation for the members of the information society we are living in. This especially applies to students of higher education, the intellectuals of the future. It is a general experience that most users make one or two word searches and they don't know about the possibilities offered by various search engines, which can make searches more effective. Given results from abroad we have set up a study among the students of the University of Debrecen (UD) about their use of the Internet, their knowledge of searching strategies and techniques, their perceptions of the effectiveness and efficiency of search engines. This paper reports the results of this study. The results imply that it is imperative that area should be included in the curriculum.Tétel Szabadon hozzáférhető Mathematics in Good Will Hunting I(2012-12-01) Korándi, József; Pluhár, GabriellaThis is the first part of a three paper long series exploring the role of mathematicians and of the mathematical content occurring in popular media. In particular, we analyze the movie Good Will Hunting. In the present paper we investigate stereotypes about mathematicians living in the society and appearing in Good Will Hunting.Tétel Szabadon hozzáférhető ungewöhnlicher Weg zu Jakob Steiners Umellipse eines Dreiecks und zur Steiner–Hypozykloide(2004-06-01) , OswaldIn real projective geometry of triangles two problems of collinear points are discussed. The problems differ only from the running through the vertices of a given triangle ABC. Resolving the problems we find two cubic curves kS and kT . Affine specialization leads to the circumscribed Steiner ellipse about the triangle ABC and shows us this ellipse in more general surroundings. Euclidean specialization leads to Steiners three-cusped hypocycloid.Tétel Szabadon hozzáférhető Key concepts in informatics(2014-06-01) Gudenus, László; Helfenbein, Henrik; Zsakó, László"The system of key concepts contains the most important key concepts related to the development tasks of knowledge areas and their vertical hierarchy as well as the links of basic key concepts of different knowledge areas. When you try to identify the key concepts of a field of knowledge, you should ask the following questions: Which are the concepts that are the nodes of the concept net and can be related to many other concepts? Which are the concepts that necessarily keep re-appearing in different contexts when interpreting what you have learnt before? Which are the concepts that arrange specific facts in structures, which contribute to interpreting and apprehending new information and experience? Which are the concepts that – if you are unfamiliar with and unaware of – inhibits you in systematizing various items of knowledge or sensibly utilizing them?" [8] One of the most important of these concepts is the document.Tétel Szabadon hozzáférhető Solving mathematical problems by using Maple factorization algorithms(2007-12-01) Princz, MáriaComputer algebra gives methods for manipulating mathematical expression. In this paper we use the Maple software to solve some elementary problems. Computeraided approach in the instruction of mathematics helps to impart problem solving skills to students.Tétel Szabadon hozzáférhető Dynamic geometry systems in teaching geometry(2004-06-01) Nagy-Kondor, RitaComputer drawing programs opened up new opportunities in the teaching of geometry: they make it possible to create a multitude of drawings quickly, accurately and with flexibly changing the input data, and thus make the discovery of geometry an easier process. The objective of this paper is to demonstrate the application possibilities of dynamic geometric systems in primary and secondary schools, as well as in distance education. A general characteristic feature of these systems is that they store the steps of the construction, and can also execute those steps after a change is made to the input data. For the demonstration of the applications, we chose the Cinderella program. We had an opportunity to test some parts of the present paper in an eighth grade primary school.Tétel Szabadon hozzáférhető From Newton’s fluxions to virtual microscopes(2007-12-01) Bair, Jacques; Henry, ValerieThe method of fluxions was originally given by Newton among others in order to determine the tangent to a curve. In this note, we will formulate this method by the light of some modern mathematical tools: using the concept of limit, but also with hyperreal numbers and their standard parts and with dual numbers; another way is the use of virtual microscopes both in the contexts of classical and non standard analysis.Tétel Szabadon hozzáférhető Outstanding mathematicians in the 20th century(2015-06-01) Kántor, TündeIn this paper we commemorate the life and work of András Rapcsák on the occasion of the centenary of his birth. He was an outstanding professor and a scholar teacher. He was head of the Department of Geometry (1958-1973) and the director of the Institute of Mathematics at the University of Debrecen (Hungary). He played an important role in the life of the University of Debrecen. He was the rector of this university between 1966 and 1973. At the beginning of his career he taught at secondary schools in several towns. He wrote mathematical schoolbooks with coauthors. He also taught at Teacher's College in Debrecen and in Eger. He became to interested in differential geometry under the influence of Ottó Varga. The fields of his research were line-element spaces and related areas. He was elected an Ordinary Member of the Hungarian Academy of Science in 1965. He wrote 21 papers, 8 school and textbooks and 3 articles in didactics of mathematics.Tétel Szabadon hozzáférhető Smartphones and QR-codes in education - a QR-code learning path for Boolean operations(2015-06-01) Maresch, GünterDuring the last few years new technologies have become more and more an integrative part of everyday life. The increase of the possession rate of smartphones by young people is especially impressive. This fact asks us educators to think about a didactically and pedagogically well designed integration of smartphones into our lessons and to bring in ideas and concepts. This paper describes a specific learning path where learners can work step by step on the topic Boolean Operations with QR-Code scanners which have been installed on their smartphones. Student teachers for mathematics who completed the learning path took part in a survey where they were asked questions about their willingness to integrate smartphones into their lessons. The results of the survey are presented in the second part of the paper.Tétel Szabadon hozzáférhető Zoltán Szvetits (1929-2014)(2015-12-01) Gaál, IstvánThe legendary mathematics teacher of Secondary School Fazekas in Debrecen, Zoltán Szvetits passed away on 5th November 2014, at the age of 84. Beginning in 1954 he had been teaching here almost forty years. His pupils and the society of teachers have lost an outstanding teacher character. This secondary school has been well known for decades about its special mathematics class with 10 math lessons a week. This special class was designed and established by Zoltán Szvetits.Tétel Szabadon hozzáférhető Teaching probability theory by using a web based assessment system together with computer algebra(2014-06-01) Takács Klingné, AnnaIn the course of Maths Basics 2, the Faculty of Economic Science students of Kaposvár University learn the classical chapters of Probability Theory, namely random variables and the well-known probability distributions. Our teaching experiences show that students' achievement is weaker in case of problems concerning continuous random variables. From school year 2012/13 we have had an opportunity to take Maple TA, the web-based test- and assessment system, into the course of education. It is sufficient for the users of Maple TA to have a browser. Maple computer algebra system, which runs on the server, assesses students' answers in an intelligent way, and compares them with the answers that are considered correct by the teacher. In our presentation we introduce some elements of Maple TA system, the didactic considerations the test sheets were made by, as well as our research results concerning the use of Maple TA.Tétel Szabadon hozzáférhető anderer Weg bei dem Logarithmusunterricht(2014-06-01) , FerencIn my developmental experiment I tried to fusion the expectations of the Hungarian education and the realistic mathematics education. The duration of this experiment was 33 lectures long. In this article I try to show how were introduced the definition, the rules of logarithm with real life problems and the outcome of the experiment.Tétel Szabadon hozzáférhető Bernd Zimmermann (1946-2018)(2018-12-01) Ambrus, AndrásOur great friend, the always helpful supporter of the Hungarian mathematics didactics, Bernd Zimmermann, the retired mathematics didactics professor of Friedrich Schiller University of Jena, passed away on 19th of July 2018. After a short chronology of his life, we remember some of the many areas of his work with strong Hungarian connections.Tétel Szabadon hozzáférhető Increasing the popularity and efficiency of distance education by old-new methods(2010-12-01) Pántya, Róbert; Mucsics F., LászlóIn our essay we aim to provide suggestions to develop distance education and we decisively focus on programmed education that is supported by e-learning environment. We both think that the shortage of programmed educational methods is causeless in Hungary's distance education. The widespread usage of info-communication devices and of the Internet makes the programmed educational methods (not as an exclusive method) possible to use in distance education together with e-learning environment. In our work we summarize the possible solutions and at the same time we also provide a case study, as an insight into our e-learning project (called Logical Programming) by Moodle.Tétel Szabadon hozzáférhető Efficient language teaching software in a multimedia context(2012-12-01) Nagy, László T.; Stóka, ÁgnesIn this article I deal with the efficiency of multimedia teaching programs, analyzing possibilities for their improvement in the field of language teaching. This research has been carried out with the use of the latest technologies, language teaching software, internet based language teaching applications, digital dictionaries, online content, and the latest results from the field of computational linguistics. The goal of my research is to create a general model that serves and supports various kinds of approaches to improving efficiency; I cannot attempt to present a complete, detailed analytical review due to the complexity and size of this topic. However, my opinion is that by considering and understanding the theoretical aspects of the subject, and supported by certain important ideas, we will be able to achieve remarkable improvements in the field of learning efficiency and knowledge retention in the language teaching and learning process that might lead to outstanding results.Tétel Szabadon hozzáférhető Preliminary e ects of mathematics curriculum development for primary school student teachers in Sárospatak Comenius Campus(2017-12-01) Gyöngyösi-Wiersum, ErikaHungarian students' mathematics performance has been getting weaker in the past few years. A possible solution to stop this tendency is to develop curriculum. Therefore, Hungarian researchers have been refining a particular framework of curriculum development in primary school teacher training programmes. The national curriculum is designed on the assumption that learning can be broken into a sequence of levels and students can evenly succeed in gaining knowledge at successive levels. In this paper, we want to discuss how to reduce students' difficulties with different background to grow competence at successive levels.Tétel Szabadon hozzáférhető Mathematics Education Traditions of Europe (METE) Project(2006-12-01) Török, JuditThis study is based on the work of the METE (Mathematics Education Traditions of Europe Project) team. Following a short introduction of the project, its theoretical background, methods and research design are presented in the next three sections. In the 4th section the tools developed by the METE team for qualitative and quantitative analysis of the collected data are discussed in details. The 5th section contains some personal remarks about using these tools. The 6th section presents the main results of the project, followed by a summary of the project's educational and theoretical significance.Tétel Szabadon hozzáférhető MRP tasks, critical thinking and intrinsic motivation to proving(2010-06-01) Takáč, ZdenkoThe lack of students' need for proof is often discussed. This is an important topic, on which quite a few others have written ([26], [27], [28], [17], [8]). Nevertheless, there is limited research knowledge about how teacher can participate in process of raising of students' intrinsic motivation to proving. In this article, we discuss relationships between intrinsic motivation to proving, critical thinking and special activity – engaging with so-called MRP tasks. We present here results of a research carried out by author in two elementary schools (21 classes, grade 5-9) in Ruzomberok, Slovakia. We identified the interesting relationship between students' dealing with MRP tasks and increasing of their intrinsic motivation to proving.Tétel Szabadon hozzáférhető Sequenced problems for functional equations(2006-06-01) Ádám, Zsolt; Lajkó, Károly; Maksa, Gyula; Mészáros, FruzsinaThere are many possible methods to solve equations of the form H(f(x + y), f(x − y), f(x), f(y), x, y) = 0 (x, y 2 R), where H is a known function and f is the unknown function to be determined. Here we will create a sequence of problems for equations of type (1) (see on the next page). These sequenced problems are appropriate for the fostering of talented students on different level of mathematical education.Tétel Szabadon hozzáférhető Number theory vs. Hungarian highschool textbooks(2016-12-01) Csányi, Petra; Fábián, Kata; Szabó, Csaba; Szabó, Zsanett; Vásárhelyi, ÉvaAccording to the Hungarian National Curriculum the proof of the irrationality of √2 is considered in grade 10. We analyze the standard proofs from the textbooks and give some mathematical arguments that those reasonings are neither appropriate nor sufficient. We suggest that the proof should involve the fundamental theorem of arithmetic.