Pub Date : 2023-02-28DOI: 10.53656/math2023-1-7-tot
Stoyan Mechev
The paper aims to examine publicly available vulnerability databases and their systems for assessing the severity of damage that can be caused by malware targeting mobile devices running Android or iOS. The second goal of the study is to evaluate the vulnerability detection capabilities associated with a specific version of a mobile operating system. Methods used: comparative analysis and summary. Based on the results of the application of the comparative analysis, it is established which of the national databases have better capabilities to filter the data and obtain adequate results when searching for vulnerabilities for mobile devices.
{"title":"TO THE ISSUE OF PUBLICLY AVAILABLE NATIONAL DATABASES CONTAINING DESCRIPTIONS OF VULNERABILITIES FOR MOBILE DEVICE OPERATING SYSTEMS","authors":"Stoyan Mechev","doi":"10.53656/math2023-1-7-tot","DOIUrl":"https://doi.org/10.53656/math2023-1-7-tot","url":null,"abstract":"The paper aims to examine publicly available vulnerability databases and their systems for assessing the severity of damage that can be caused by malware targeting mobile devices running Android or iOS. The second goal of the study is to evaluate the vulnerability detection capabilities associated with a specific version of a mobile operating system. Methods used: comparative analysis and summary. Based on the results of the application of the comparative analysis, it is established which of the national databases have better capabilities to filter the data and obtain adequate results when searching for vulnerabilities for mobile devices.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84441208","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-6-pri
Philip Petrov
“Integers and their representation” is the first section from the curriculum for 8th grade high school Informatics education in Bulgaria. The main topic in it is the study of binary numbers. The research shows that the current Bulgarian textbooks have excessive amount of mathematical problems and very few have direct practical applications. Furthermore, they do not use sufficiently the inquiry-based learning approach in the lesson and there are no introductory problems aimed in forcing cognitive dissonance. Good examples on how it can be done in constructivist way are given in the ‘80s textbooks from the experimental Research Group on Education. The article then presents a popular magic trick for teaching binary numbers by the inquiry-based learning. The author provides methodology for its more effective usage as introductory problem for the lesson. The conclusion is that Informatics lessons should use more practical problems with games, tricks and sophisms.
{"title":"Приложение на изследователския подход в образованието по информатика чрез един популярен математически фокус (Нов поглед към стари идеи)","authors":"Philip Petrov","doi":"10.53656/math2022-6-6-pri","DOIUrl":"https://doi.org/10.53656/math2022-6-6-pri","url":null,"abstract":"“Integers and their representation” is the first section from the curriculum for 8th grade high school Informatics education in Bulgaria. The main topic in it is the study of binary numbers. The research shows that the current Bulgarian textbooks have excessive amount of mathematical problems and very few have direct practical applications. Furthermore, they do not use sufficiently the inquiry-based learning approach in the lesson and there are no introductory problems aimed in forcing cognitive dissonance. Good examples on how it can be done in constructivist way are given in the ‘80s textbooks from the experimental Research Group on Education. The article then presents a popular magic trick for teaching binary numbers by the inquiry-based learning. The author provides methodology for its more effective usage as introductory problem for the lesson. The conclusion is that Informatics lessons should use more practical problems with games, tricks and sophisms.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85328227","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-2-bes
K. Dimitrov, E. Kovatcheva
Over the past ten years or so both companies and academic institutions have made significant steps towards either adopting an e-learning infrastructure or upgrading the systems already being used. During the past few years, we witnessed an incredible proliferation of Learning Management Systems (LMS’s) and the number of features they offered and a strong push towards a blended-based learning approach to training and education. This paper deals with the comparison and presentation of the most popular LMS’s currently available on the market. In our research, we strove to not only summarize the most important information about the big players in the world of blended learning today, but to also direct the readers to the right questions they need to be asking when researching their options. Before a company or an academic institution can make an educated decision as to which system will work best in its case, it needs to carefully consider several important questions — it must decide on its budget, its expectations, its audience, the requirement for specific features, as well as why it needs an LMS in the first place. The effectiveness of gamified learning systems has been extensively researched and consistently praised for its immense positive effect on learners’ motivation and engagement. We firmly believe that in the years to come, gamification will transform both corporate and academic training and that is why, in our research, we paid special attention to any existing system gamification features or ones that may be in development. Introducing game dynamics into an LMS results in numerous benefits and is a sure bet for the future of blended learning.
{"title":"Best E-Learning Platforms for Blended Learning in Higher Education","authors":"K. Dimitrov, E. Kovatcheva","doi":"10.53656/math2022-6-2-bes","DOIUrl":"https://doi.org/10.53656/math2022-6-2-bes","url":null,"abstract":"Over the past ten years or so both companies and academic institutions have made significant steps towards either adopting an e-learning infrastructure or upgrading the systems already being used. During the past few years, we witnessed an incredible proliferation of Learning Management Systems (LMS’s) and the number of features they offered and a strong push towards a blended-based learning approach to training and education. This paper deals with the comparison and presentation of the most popular LMS’s currently available on the market. In our research, we strove to not only summarize the most important information about the big players in the world of blended learning today, but to also direct the readers to the right questions they need to be asking when researching their options. Before a company or an academic institution can make an educated decision as to which system will work best in its case, it needs to carefully consider several important questions — it must decide on its budget, its expectations, its audience, the requirement for specific features, as well as why it needs an LMS in the first place. The effectiveness of gamified learning systems has been extensively researched and consistently praised for its immense positive effect on learners’ motivation and engagement. We firmly believe that in the years to come, gamification will transform both corporate and academic training and that is why, in our research, we paid special attention to any existing system gamification features or ones that may be in development. Introducing game dynamics into an LMS results in numerous benefits and is a sure bet for the future of blended learning.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88987742","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-5-nqk
Pavlin Tsonev
The article analyzes the measurement properties of the multiple-choice test items from the National External Assessment for 7th grade, conducted in 2021. Items that did not perform well in terms of difficulty or discrimination coefficients were searched for. Variants of the items are proposed in order to improve their measurement properties. Conclusions were drawn on the differences found in the achievements of students in the districts of Sofia-city and Pleven.
{"title":"Някои изводи върху резултатите от националното външно оценяване по математика за VII клас","authors":"Pavlin Tsonev","doi":"10.53656/math2022-6-5-nqk","DOIUrl":"https://doi.org/10.53656/math2022-6-5-nqk","url":null,"abstract":"The article analyzes the measurement properties of the multiple-choice test items from the National External Assessment for 7th grade, conducted in 2021. Items that did not perform well in terms of difficulty or discrimination coefficients were searched for. Variants of the items are proposed in order to improve their measurement properties. Conclusions were drawn on the differences found in the achievements of students in the districts of Sofia-city and Pleven.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87022612","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-1-com
Aslanbek Khamidovitch Naziev
Many people think that inequalities cannot be considered over the field C of complex numbers. And really, on C does not possess an order to make it an ordered field. But other orders exist and can be successfully used for getting answers to some questions which remain unanswered if restricted to the domain of real numbers. The paper notes some discordance in the behavior of the sets of solutions to quadratic equations and inequalities over the field of real numbers. These sets change when the discriminant changes until it is positive, but remain unchanged as soon as discriminant becomes negative. To overcome this oddity, it is suggested to make an exit to the complex plane with some order on it. The consequences of this action are proven, and illustrated by the dynamic model proposed in the work. The model is constructed with the help of LATEX.
{"title":"Complex Solutions to Quadratic Inequalities and Their Modeling by Means of LATEX","authors":"Aslanbek Khamidovitch Naziev","doi":"10.53656/math2022-6-1-com","DOIUrl":"https://doi.org/10.53656/math2022-6-1-com","url":null,"abstract":"Many people think that inequalities cannot be considered over the field C of complex numbers. And really, on C does not possess an order to make it an ordered field. But other orders exist and can be successfully used for getting answers to some questions which remain unanswered if restricted to the domain of real numbers. The paper notes some discordance in the behavior of the sets of solutions to quadratic equations and inequalities over the field of real numbers. These sets change when the discriminant changes until it is positive, but remain unchanged as soon as discriminant becomes negative. To overcome this oddity, it is suggested to make an exit to the complex plane with some order on it. The consequences of this action are proven, and illustrated by the dynamic model proposed in the work. The model is constructed with the help of LATEX.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82953495","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-4-set
I. Kortezov
The paper deals with counting the sets of non-self-intersecting paths whose nodes form a partitioning of the set of vertices of a given convex polygon. There turn to exist compact formulae when the magnitude of these sets is fixed. Some of these formulae provide new properties for some of the entries of the On-line Encyclopedia of Integer Sequences, while others generate new entries therein.
{"title":"Sets of Non-Self-Intersecting Paths Connecting the Vertices of a Convex Polygon","authors":"I. Kortezov","doi":"10.53656/math2022-6-4-set","DOIUrl":"https://doi.org/10.53656/math2022-6-4-set","url":null,"abstract":"The paper deals with counting the sets of non-self-intersecting paths whose nodes form a partitioning of the set of vertices of a given convex polygon. There turn to exist compact formulae when the magnitude of these sets is fixed. Some of these formulae provide new properties for some of the entries of the On-line Encyclopedia of Integer Sequences, while others generate new entries therein.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82561993","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}
Pub Date : 2022-12-29DOI: 10.53656/math2022-6-3-mob
M. Gocheva, N. Kasakliev, E. Somova
The paper discusses modern learning approaches in which mobile devices are increasingly used. It presents an experiment to apply mobile game-based learning to primary school students. A suitable learning model has been designed using adaptive, micro lesson, behavioural and game-based approaches. Based on the model, a mobile math educational game was developed to complement traditional classroom learning and be used at home. The mobile game was tested in a real learning environment. A survey was conducted also with the students and teachers, participants in the experiment, which investigated the attitude toward using mobile game – based learning in mathematics in the direction of – practical applicability, motivation, design, accessibility, support and feedback.
{"title":"Mobile Game-Based Math Learning for Primary School","authors":"M. Gocheva, N. Kasakliev, E. Somova","doi":"10.53656/math2022-6-3-mob","DOIUrl":"https://doi.org/10.53656/math2022-6-3-mob","url":null,"abstract":"The paper discusses modern learning approaches in which mobile devices are increasingly used. It presents an experiment to apply mobile game-based learning to primary school students. A suitable learning model has been designed using adaptive, micro lesson, behavioural and game-based approaches. Based on the model, a mobile math educational game was developed to complement traditional classroom learning and be used at home. The mobile game was tested in a real learning environment. A survey was conducted also with the students and teachers, participants in the experiment, which investigated the attitude toward using mobile game – based learning in mathematics in the direction of – practical applicability, motivation, design, accessibility, support and feedback.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74519853","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}
Pub Date : 2022-10-28DOI: 10.53656/math2022-5-6-rea
A. Voievoda, Oleh Konoshevskyi, S. Pudova
The paper presents the opinions of mathematics teachers regarding expediency and possibility of using computer mathematical games in the educational process. The survey was conducted in urban and rural schools of Ukraine in 2019 (sample size – 48) and 2021 (sample size – 55). Teachers of all age categories and levels of school education (primary, secondary, senior secondary) were involved.As a result of the study, the growing interest of Ukrainian mathematics teachers in computer mathematical games was noted after long-term online learning during quarantine measures on COVID-19. Moreover, some teachers already use computer mathematical games to develop the knowledge and skills of both students (15%) and their own children (40%).However, every fifth teacher does not consider it necessary to use electronic games in mathematics lessons. In general, there is a trend towards their implementation at various levels of education: from school to future teachers training faculties, but there are still a number of unresolved important issues, including didactic ones.
{"title":"Readiness of Ukrainian Mathematics Teachers to Use Computer Games in the Educational Process","authors":"A. Voievoda, Oleh Konoshevskyi, S. Pudova","doi":"10.53656/math2022-5-6-rea","DOIUrl":"https://doi.org/10.53656/math2022-5-6-rea","url":null,"abstract":"The paper presents the opinions of mathematics teachers regarding expediency and possibility of using computer mathematical games in the educational process. The survey was conducted in urban and rural schools of Ukraine in 2019 (sample size – 48) and 2021 (sample size – 55). Teachers of all age categories and levels of school education (primary, secondary, senior secondary) were involved.As a result of the study, the growing interest of Ukrainian mathematics teachers in computer mathematical games was noted after long-term online learning during quarantine measures on COVID-19. Moreover, some teachers already use computer mathematical games to develop the knowledge and skills of both students (15%) and their own children (40%).However, every fifth teacher does not consider it necessary to use electronic games in mathematics lessons. In general, there is a trend towards their implementation at various levels of education: from school to future teachers training faculties, but there are still a number of unresolved important issues, including didactic ones.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73214573","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}
Pub Date : 2022-10-28DOI: 10.53656/math2022-5-5-mon
S. Gaftandzhieva, R. Doneva, Milen Bliznakov
The market for new students is highly competitive. For this reason, higher education institutions (HEIs) can no longer rely on traditional strategies to hit enrolment goals. HEIs leadership must leverage new approaches, tools and skills to optimize the enrolment process, monitor the student enrolment campaign and improve marketing strategies to attract suitable students for future campaigns. This paper proposes a solution that facilitates and optimizes these processes. It introduces a model for monitoring student enrolment campaigns and a prototype of a correspondent software tool StEnrAnalyst, designed for the needs of different stakeholder groups (top and middle management, responsible bodies for student enrolment campaigns). StEnrAnalyst allows them to monitor the student enrolment campaign, generate reports for candidate students and enrolled student and make timely data-driven decisions to improve the process of applying and enrolling new students. Experiments with the model and StEnrAnalyst are conducted based on the information infrastructure of a typical Bulgarian university.
{"title":"Monitoring of Student Enrolment Campaign through Data Analytics Tools","authors":"S. Gaftandzhieva, R. Doneva, Milen Bliznakov","doi":"10.53656/math2022-5-5-mon","DOIUrl":"https://doi.org/10.53656/math2022-5-5-mon","url":null,"abstract":"The market for new students is highly competitive. For this reason, higher education institutions (HEIs) can no longer rely on traditional strategies to hit enrolment goals. HEIs leadership must leverage new approaches, tools and skills to optimize the enrolment process, monitor the student enrolment campaign and improve marketing strategies to attract suitable students for future campaigns. This paper proposes a solution that facilitates and optimizes these processes. It introduces a model for monitoring student enrolment campaigns and a prototype of a correspondent software tool StEnrAnalyst, designed for the needs of different stakeholder groups (top and middle management, responsible bodies for student enrolment campaigns). StEnrAnalyst allows them to monitor the student enrolment campaign, generate reports for candidate students and enrolled student and make timely data-driven decisions to improve the process of applying and enrolling new students. Experiments with the model and StEnrAnalyst are conducted based on the information infrastructure of a typical Bulgarian university.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73215346","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}
Pub Date : 2022-10-28DOI: 10.53656/math2022-5-4-izu
Philip Petrov
For decades SI prefixes have been used incorrectly in the IT world to define volumes of binary information. Kilo, mega, giga, etc. were widely accepted all over the world for powers of 2 instead of powers of 10. The introduction of new binary information prefixes kibi, mebi, gibi, etc. started in 1999. This change was proved difficult, because the old prefixes already gained very wide adoption in the society. Most hardware and software manufacturers refused to use the new units of measurement, probably because it was not profitable for them from marketing point of view. Some software companies even refused to start measuring correctly with the new values for the old prefixes. This problem was transferred into the Bulgarian education system, where the innovation was met with strong conservatism and even an outright reluctance of teachers to teach the new units. The article examines the problem from a pedagogical point of view and suggests some guidelines for effective teaching of the new units in the Information Technology curriculum for the Bulgarian schools.
{"title":"THE LEARNING OF MEASUREMENT UNITS FOR BINARY INFORMATION – A SURPRISINGLY PROBLEMATIC TOPIC FOR THE BULGARIAN EDUCATION SYSTEM","authors":"Philip Petrov","doi":"10.53656/math2022-5-4-izu","DOIUrl":"https://doi.org/10.53656/math2022-5-4-izu","url":null,"abstract":"For decades SI prefixes have been used incorrectly in the IT world to define volumes of binary information. Kilo, mega, giga, etc. were widely accepted all over the world for powers of 2 instead of powers of 10. The introduction of new binary information prefixes kibi, mebi, gibi, etc. started in 1999. This change was proved difficult, because the old prefixes already gained very wide adoption in the society. Most hardware and software manufacturers refused to use the new units of measurement, probably because it was not profitable for them from marketing point of view. Some software companies even refused to start measuring correctly with the new values for the old prefixes. This problem was transferred into the Bulgarian education system, where the innovation was met with strong conservatism and even an outright reluctance of teachers to teach the new units. The article examines the problem from a pedagogical point of view and suggests some guidelines for effective teaching of the new units in the Information Technology curriculum for the Bulgarian schools.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75277175","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：