This paper deals with some uses of the GeoGebra mathematical software with the aim to improve and modernize mathematics teaching. It proposes some ideas for systemizing activities and problems related to solving a triangle. The problems are presented in two groups – basic and additional, each of which has subgroups. The purpose of the drawings is to illustrate the respective problem, to facilitate its solution, and to demonstrate the main requirement to learn mathematical concepts – to vary the insignificant properties of a concept to make the significant ones stand out.
{"title":"Ideas for Improving Mathematics Teaching by Using the GeoGebra Mathematical Software","authors":"Zhorzheta Angelova, Ivanka Mincheva","doi":"10.54664/hbzs2384","DOIUrl":"https://doi.org/10.54664/hbzs2384","url":null,"abstract":"This paper deals with some uses of the GeoGebra mathematical software with the aim to improve and modernize mathematics teaching. It proposes some ideas for systemizing activities and problems related to solving a triangle. The problems are presented in two groups – basic and additional, each of which has subgroups. The purpose of the drawings is to illustrate the respective problem, to facilitate its solution, and to demonstrate the main requirement to learn mathematical concepts – to vary the insignificant properties of a concept to make the significant ones stand out.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123831411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Project-Based Learning (PBL) has long been a well-known and widely used constructivist teaching method in various fields, in which students learn by taking active part in real-world and personally meaningful projects. When it comes to teaching Computer Science, developing software projects is a natural implementation of this pedagogical method. In this paper, the authors share their experience of adapting a project they have used for several years in undergraduate student training to the high school course in Computer Science. Emphasis has been placed on interactive teaching methods in the classroom and the interdisciplinary connection with mathematics. The achieved results have been analysed.
{"title":"The Project-Based Approach in Informatics Education – A Real-World Example of Rational Number Arithmetic Library Implementation and Use","authors":"Ivaylo Donchev, Gabriela Chotova","doi":"10.54664/iptd5141","DOIUrl":"https://doi.org/10.54664/iptd5141","url":null,"abstract":"Project-Based Learning (PBL) has long been a well-known and widely used constructivist teaching method in various fields, in which students learn by taking active part in real-world and personally meaningful projects. When it comes to teaching Computer Science, developing software projects is a natural implementation of this pedagogical method. In this paper, the authors share their experience of adapting a project they have used for several years in undergraduate student training to the high school course in Computer Science. Emphasis has been placed on interactive teaching methods in the classroom and the interdisciplinary connection with mathematics. The achieved results have been analysed.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125680255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nowadays, we know how important it is for a country to have a good telecom infrastructure, including Kosovo. The purpose of this paper is to plan the telecommunications infrastructure based on the geographic information provided by GIS. By using these systems, we can draw analyses and conclusions on the possibility of planning the extension of this infrastructure in the future, consequently conveying ideas to different sectors of development or for using telecommunications infrastructure. The data by which the scenarios of this study have been drafted, are real and generated in Prishtina. They are employed to illustrate the use and techniques of GIS.
{"title":"Planning Telecommunications Infrastructure in Kosovo through Geographic Information Systems (GIS)","authors":"Kastriot Dermaku, Liridon Hoti Ilir Gashi, Selami Klaiqi","doi":"10.54664/kjxb8448","DOIUrl":"https://doi.org/10.54664/kjxb8448","url":null,"abstract":"Nowadays, we know how important it is for a country to have a good telecom infrastructure, including Kosovo. The purpose of this paper is to plan the telecommunications infrastructure based on the geographic information provided by GIS. By using these systems, we can draw analyses and conclusions on the possibility of planning the extension of this infrastructure in the future, consequently conveying ideas to different sectors of development or for using telecommunications infrastructure. The data by which the scenarios of this study have been drafted, are real and generated in Prishtina. They are employed to illustrate the use and techniques of GIS.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134506544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Effect of Using Micro: bit on Lower Secondary School Student Critical Thinking","authors":"Kastriot Dermaku","doi":"10.54664/jtlk5523","DOIUrl":"https://doi.org/10.54664/jtlk5523","url":null,"abstract":"","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125078939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nowadays, most C++ introductory courses begin by studying the procedural constructs of C language, following the imperative-first strategy described in CC2001 [7]. While this has been a successful approach in the near past, our experience shows that it does not lead to the development of skills to create a good C++ code. That’s why in recent years we’ve been teaching C++ to beginners in a totally different way – with avoidance of C-style strings and raw arrays; delayed introduction to pointers (just after references); polymorphism with references instead of pointers; smart pointers instead of raw pointers; early use of standard library features, and writing modern C++ from day one.
{"title":"Teaching C++ as a First Programming Language","authors":"Ivaylo Donchev","doi":"10.54664/lpya6043","DOIUrl":"https://doi.org/10.54664/lpya6043","url":null,"abstract":"Nowadays, most C++ introductory courses begin by studying the procedural constructs of C language, following the imperative-first strategy described in CC2001 [7]. While this has been a successful approach in the near past, our experience shows that it does not lead to the development of skills to create a good C++ code. That’s why in recent years we’ve been teaching C++ to beginners in a totally different way – with avoidance of C-style strings and raw arrays; delayed introduction to pointers (just after references); polymorphism with references instead of pointers; smart pointers instead of raw pointers; early use of standard library features, and writing modern C++ from day one.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128410049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Technology is changing our lives and our way of learning. Contemporary teaching is subject to high standards – to train people who think and have universal learning and problem-solving skills. Mastering key competences is impossible without integrating information and communication technologies. The Viber app is the affordable way to connect education in maths to students’ interests and needs for information technology.
{"title":"The Viber Application and its Use by Elementary School Students for Forming Key Competences in Mathematics","authors":"Diana Papazova-Antonova","doi":"10.54664/nnvk5953","DOIUrl":"https://doi.org/10.54664/nnvk5953","url":null,"abstract":"Technology is changing our lives and our way of learning. Contemporary teaching is subject to high standards – to train people who think and have universal learning and problem-solving skills. Mastering key competences is impossible without integrating information and communication technologies. The Viber app is the affordable way to connect education in maths to students’ interests and needs for information technology.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127810591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This article aims to show the main specifics in a multi-ethnic school environment and to propose tools and a model based on practical experience in enhancing the success of information technology training. The specifics in the educational environment of children bilinguals are examined. A model of teaching in a school with a multiethnic environment is presented through the use of individual and group practical work on information technologies.
{"title":"Specificity of Training in Information Technologies in a Multiethnic Situation","authors":"Ivanka Hristova-Ridzakova","doi":"10.54664/vcdb9427","DOIUrl":"https://doi.org/10.54664/vcdb9427","url":null,"abstract":"This article aims to show the main specifics in a multi-ethnic school environment and to propose tools and a model based on practical experience in enhancing the success of information technology training. The specifics in the educational environment of children bilinguals are examined. A model of teaching in a school with a multiethnic environment is presented through the use of individual and group practical work on information technologies.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116293885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The technology development and the changing requirements of the labor market lead to changes in education. When we talk about computer science and information technology these changes need to be more frequent and extensive. We need not only a change in the curricula content to reach our education aims, but a thorough approach pursuant to the curriculum and the psychological characteristics of the contemporary students as well. In this article we will outline the main approaches used to teach CS at school and present our ideas based on the combination of the best classical approaches practice and experience from the application of innovative didactic methods and tools.
{"title":"Objects-Early Approach to Teaching Informatics at School Level","authors":"Gabriela Chotova, Ivaylo Donchev","doi":"10.54664/ehcu9446","DOIUrl":"https://doi.org/10.54664/ehcu9446","url":null,"abstract":"The technology development and the changing requirements of the labor market lead to changes in education. When we talk about computer science and information technology these changes need to be more frequent and extensive. We need not only a change in the curricula content to reach our education aims, but a thorough approach pursuant to the curriculum and the psychological characteristics of the contemporary students as well. In this article we will outline the main approaches used to teach CS at school and present our ideas based on the combination of the best classical approaches practice and experience from the application of innovative didactic methods and tools.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128006767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper represents a small controller with wireless connection, which measures air temperature, air humidity and soil humidity. As an output action it can switch on and off an irrigation pump. Monitoring is realized over Wi-Fi connection to a gateway and cloud service. The service allows database storage and graph representation of the input values via desktop or mobile device browser. Sensors choice is also explained in details with advantages and disadvantages of the possible solutions. Developed device allows fine tuning, according to the target plants, can be duplicated many times in the range of the hothouse. It is one of the cheapest solutions which provides very stable work as a result of the specific implementation.
{"title":"Multisensory System for Monitoring and Control of Artificial Plant Growing Environment","authors":"A. Hristov, Teodor Kalushkov","doi":"10.54664/cywk3183","DOIUrl":"https://doi.org/10.54664/cywk3183","url":null,"abstract":"The paper represents a small controller with wireless connection, which measures air temperature, air humidity and soil humidity. As an output action it can switch on and off an irrigation pump. Monitoring is realized over Wi-Fi connection to a gateway and cloud service. The service allows database storage and graph representation of the input values via desktop or mobile device browser. Sensors choice is also explained in details with advantages and disadvantages of the possible solutions. Developed device allows fine tuning, according to the target plants, can be duplicated many times in the range of the hothouse. It is one of the cheapest solutions which provides very stable work as a result of the specific implementation.","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116697534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In modern conditions of development of national schools in multilingual regions of the Russian Federation, in particular in the Republic of Bashkortostan, the problem of designing a bilingual (Russian-national or national-Russian) methodology is important, but at the same time not sufficiently developed for the federal component disciplines. The article reveals an attempt to solve to a certain extent this problem through the use of electronic educational materials in teaching mathematics. Depending on the target component, two types of bilingual methods are distinguished: one of them – with the predominance of the national-Russian bilingualism, the other - with the predominance of the Russian-national. Electronic textbooks provide an opportunity to combine the possibilities of both techniques. The article describes the electronic learning materials developed by the author that allow realizing bilingual education in the Russian national (non-Russian) school. Efficiency was identified on the basis of a pedagogical experiment, the criterion of effectiveness – the quality of students’ cognitive activity; the reliability of the changes obtained was substantiated by statistical methods using Student’s t-test (by William Gosset’s).
{"title":"Computer Technologies in the Realization of Bilingual Training in the National School (On the Example of Schools of the Republic of Bashkortostan of the Russian Federation)","authors":"S. Salavatova","doi":"10.54664/jmzq9556","DOIUrl":"https://doi.org/10.54664/jmzq9556","url":null,"abstract":"In modern conditions of development of national schools in multilingual regions of the Russian Federation, in particular in the Republic of Bashkortostan, the problem of designing a bilingual (Russian-national or national-Russian) methodology is important, but at the same time not sufficiently developed for the federal component disciplines. The article reveals an attempt to solve to a certain extent this problem through the use of electronic educational materials in teaching mathematics. Depending on the target component, two types of bilingual methods are distinguished: one of them – with the predominance of the national-Russian bilingualism, the other - with the predominance of the Russian-national. Electronic textbooks provide an opportunity to combine the possibilities of both techniques. The article describes the electronic learning materials developed by the author that allow realizing bilingual education in the Russian national (non-Russian) school. Efficiency was identified on the basis of a pedagogical experiment, the criterion of effectiveness – the quality of students’ cognitive activity; the reliability of the changes obtained was substantiated by statistical methods using Student’s t-test (by William Gosset’s).","PeriodicalId":238000,"journal":{"name":"Mathematics, Computer Science and Education","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114636108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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