{"title":"A Comparative Analysis of Assessment Results From Face-To-Face and Online Exams","authors":"Emiliya Koleva, N. Baeva","doi":"10.53656/math2022-4-1-aco","DOIUrl":"https://doi.org/10.53656/math2022-4-1-aco","url":null,"abstract":"In this study, a comparative analysis of the results of students’ performance on a face-to-face and an online exam is made and presented. The students involved in the research are trained and evaluated by the same examinator. Different statistical tests are made using statistical analysis software. As a result of the research, the hypothesis is confirmed that there is a difference between the two evaluations. Comparison of the grades between the different exams showed that there is a linear relationship between them, there is dependence between the results from both exams and the results from the online exam are slightly higher than the results from the face-to-face exam.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"100 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84635117","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":"NATIONAL EXTERNAL ASSESSMENT IN MATHEMATICS IN IV GRADE IN 2022","authors":"Toni Chehlarova","doi":"10.53656/math2022-4-2-nac","DOIUrl":"https://doi.org/10.53656/math2022-4-2-nac","url":null,"abstract":"An analysis was made of the topic and results of the National External Assessment in Mathematics at the end of IV grade in Bulgaria in 2022. Considering the significant difference in the scoring system of the National External Assessment in Mathematics at the end of IV grade in 2021 and 2022, a comparison of the results was made in the two years when the evaluation system was unified. Teachers‘ opinions are presented. Recommendations are given for the Model of the National External Assessment in Mathematics at the end of IV grade in Bulgaria.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"6 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86945723","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":"TWENTY-SIXTH JUNIOR BALKAN MATHEMATICAL OLYMPIAD","authors":"I. Kortezov, M. Marinov","doi":"10.53656/math2022-4-3-dva","DOIUrl":"https://doi.org/10.53656/math2022-4-3-dva","url":null,"abstract":"The paper includes the contest paper of JBMO 2022 together with variants of the solutions of the problems, plus comments on them and on the results of the team. The materials included can be useful to the groups for preparation for junior high school math contests.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"295 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79585056","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":"Problems from the Mathematical Linguistics Competitions in the Context of the Bulgarian National External Assessment by the End of the 10TH Grade","authors":"B. Lazarov, Veselin Zlatilov","doi":"10.53656/math2022-2-6-zad","DOIUrl":"https://doi.org/10.53656/math2022-2-6-zad","url":null,"abstract":"The paper examines the extent to which problems from contests in mathematical linguistics meet the Bulgarian educational standards. Compliance indicators are introduced. On the basis of an analysis of the content of individual examples, we conclude that such problems comply highly with the key competencies tested by the National External Assessment after finishing the tenth grade. Some didactic comments are made.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"30 2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90070147","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 Participation of Bulgarian School Students in Informatics Competitions for 2021","authors":"E. Kelevedjiev","doi":"10.53656/math2022-2-5-uch","DOIUrl":"https://doi.org/10.53656/math2022-2-5-uch","url":null,"abstract":"A brief overview of the school student competitions in informatics held in Bulgaria and the participation of Bulgarian students in international competitions in 2021 is considered. Some notes are given about the organization of these competitions and their technological support.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"248 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76332925","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":"A Metagraph Model оf Cyber Protection оf аn Information System","authors":"Emiliya Koleva, Evgeni Andreev, M. Nikolova","doi":"10.53656/math2022-2-7-ame","DOIUrl":"https://doi.org/10.53656/math2022-2-7-ame","url":null,"abstract":"The aim of this article is to present a developed metagraph model which serves to verify the minimum requirements for cyber security in web-based student information management systems. The model presents the correlation between cyber attacks and cyber defense of the system. The protection is based on a created model for cybersecurity 3-12 and is divided into 3 categories – software, server and information system users. The most common 9 cyber attacks on automated information systems have been selected. Twelve countermeasures to these attacks have been selected. The application of the metagraph model is used to check whether the system meets the requirements of the model 3-12. The developed information system has been tested in foreign language training of students at Nikola Vaptsarov Naval Academy. The developed metagraph model can be applied to other information systems.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"21 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87182041","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":"Vocabulary Enrichment in Computer Science for International Students at the Preparatory Department of the University","authors":"S. Mikhaelis, V. Mikhaelis, D. Mikhaelis","doi":"10.53656/math2022-2-2-voc.","DOIUrl":"https://doi.org/10.53656/math2022-2-2-voc.","url":null,"abstract":"Foreign students coming to study in Russia learn the Russian language at all levels, enriching their vocabulary. Besides possessing the lexical minimum of the Russian language, foreign students studying at the preparatory department of the Russian university need to master specialised terminology used in computer science, physics and mathematics. These subjects are included in the list of disciplines of the supplementary general programme, which aims to provide a preparation course for foreign citizens and stateless persons to master professional educational programmes in the Russian language. This article describes the need and conditions for enriching and activatingthe vocabulary of foreign students, while providing a general description of research methods. It expounds on the structure and content of the computer science course at the pre-university stage of training for foreign citizens. The paper considers the process of teaching foreign studentsthe terminology used in the computer science course. This paper provides a number of examples of new terms as well as exercises related to their acquisition. It is concluded that teaching computer-science vocabulary to foreign students is one of the most important components of teaching information science and expanding the learners’ vocabulary in general.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"19 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78510731","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":"Computer Models for Playing Billiards Using Frontal Shot","authors":"Toni Chehlarova","doi":"10.53656/math2022-2-1-com","DOIUrl":"https://doi.org/10.53656/math2022-2-1-com","url":null,"abstract":"Computer models with pool table oriented to the school teaching of mathematics are presented. The pool table in them has a board with six pockets and twelve “diamonds”, due to the expectation when working with these resources to form and apply not only mathematical knowledge, but also to master elements of the game of billiards. These computer models use a frontal impact, i.e. the cue ball hits the object ball in its center. The force of the shot, special shots, friction, etc. are not taken into account. The computer models are developed with dynamic GeoGebra software. They are provided with free access in the Virtual Mathematics Laboratory, developed at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"10 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81287544","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":"Application of Mathematical Models in Graphic Design","authors":"Ivaylo Staribratov, Nikol Manolova","doi":"10.53656/math2022-1-5-app","DOIUrl":"https://doi.org/10.53656/math2022-1-5-app","url":null,"abstract":"The article shares the practical experience in creating graphic design in the implementation of projects in the field of applied information technology. The creation of digital art is largely based on mathematical models and concepts that give a good perception of graphics, and it is scientifically justified. The STEAM approach is considered with the idea of the transdisciplinary level of integration between mathematics, graphic design and production practice in student education. For the development of projects like logo design, magazine cover and others, we use software specialized in the field of graphic design and computer graphics. For the realization of the considered projects, among which there are also awarded ones, we use CorelDRAW, Adobe InDesign and Desmos.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72516605","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":"Cryptography and Cryptanalysis in MS EXCEL","authors":"Deyan Mihaylov","doi":"10.53656/math2022-1-4-kri","DOIUrl":"https://doi.org/10.53656/math2022-1-4-kri","url":null,"abstract":"This paper provides implementations of three well-known ciphers – Caesar Cipher, Vigenere Cipher and Hill Cipher in Microsoft Excel. It is shown how the ciphers can be broken by using Brute-force Attack, Frequency Analysis Attack and Known-plaintext Attack. For the purpose of the cryptanalysis the relative occurrence frequencies of the letters and the index of coincidence (κ ) in Bulgarian language are determined. The classical Frequency Analysis Attack is modified using the cross-correlation between frequencies of letters in the natural language and the cipher text. Modular matrix operations in MS Excel are shown.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76320480","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}