{"id":83490,"date":"2022-12-24T17:39:21","date_gmt":"2022-12-24T14:39:21","guid":{"rendered":"https:\/\/azbuki.bg\/?p=83490"},"modified":"2023-08-25T17:22:06","modified_gmt":"2023-08-25T14:22:06","slug":"godishno-sdrzhanie-na-matematika-i-informatika-tom-65-2022-g","status":"publish","type":"post","link":"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2022-g\/godishno-sdrzhanie-na-matematika-i-informatika-tom-65-2022-g\/","title":{"rendered":"Annual Contents of Mathematics and Informatics, vol.65\/ 2022"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418<\/strong><br \/>\n<strong>Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1:<\/strong> 1 \u2013 124<br \/>\n<strong>Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2:<\/strong> 125 \u2013 223<br \/>\n<strong>Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3:<\/strong> 224 \u2013 327<br \/>\n<strong>Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4:<\/strong> 328 \u2013 416<br \/>\n<strong>Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5<\/strong>: 417 \u2013 516<br \/>\n<strong>Number 6 \/ \u041a\u043d\u0438\u0436\u043a\u0430 6:<\/strong> 517 \u2013 616<\/p>\n<p><strong>CONTEST PROBLEMS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 \u0417\u0410\u0414\u0410\u0427\u0418<\/strong><br \/>\n112 \u2013 112 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 6, 2021 [Solutions of problems from issue 6, 2021]<\/p>\n<p><strong>EDUCATIONAL ISSUES \/ \u0412\u042a\u041f\u0420\u041e\u0421\u0418 \u041d\u0410 \u041f\u0420\u0415\u041f\u041e\u0414\u0410\u0412\u0410\u041d\u0415\u0422\u041e<\/strong><br \/>\n72 \u2013 81 Application of Mathematical Models in Graphic Design \/ Ivaylo Staribratov, Nikol Manolova<br \/>\n82 \u2013 95 \u041a\u043e\u043d\u0442\u0435\u043a\u0441\u0442\u0443\u0430\u043b\u043d\u043e \u043f\u0440\u0435\u043a\u043e\u0434\u0438\u0440\u0430\u043d\u0435 [Contextual Recoding] \/ \u042e\u043b\u0438\u044f \u041d\u0438\u043d\u043e\u0432\u0430 \/ Julia Ninova<br \/>\n96 \u2013 111 \u0414\u0432\u0443\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0430 \u0437\u0430 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u043d\u043e \u0440\u0430\u0437\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043d\u0430 \u0440\u0435\u0441\u0443\u0440\u0441\u0438 [Two Parametric Problem for Optimal Distribution of Resources] \/ \u0420\u043e\u0441\u0435\u043d \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432, \u0422\u0430\u043d\u043a\u0430 \u041c\u0438\u043b\u043a\u043e\u0432\u0430 \/ Rosen Nikolaev, Tanka Milkova<br \/>\n186 \u2013 200 Problems of Cascade Type and their Use for Assessment of Students\u2019 Academic Achievements in Mathematics \/ Shkolnyi Oleksandr, Shvets Vasyl, Akiri Ion<br \/>\n201 \u2013 211 A Metagraph Model of Cyber Protection of an Information System \/ Emiliya Koleva, Evgeni Andreev, Mariya Nikolova<br \/>\n283 \u2013 295 How to Improve the First-Year Students Motivation in Learning Matrices \/<br \/>\nEmiliya Koleva<br \/>\n269 \u2013 312 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0443\u0441\u043f\u043e\u0440\u0435\u0434\u043d\u043e \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u0430\u043d\u0435 \u0437\u0430 \u043f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 \u0441\u0435\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043d\u0430 \u043f\u0440\u0438\u0437\u043c\u0430 \u0441 \u0440\u0430\u0432\u043d\u0438\u043d\u0430 [Application of Parallel Projection for Construction of the Section of a Prism with a Plane] \/ \u041c\u0438\u0442\u043a\u043e \u041a\u0443\u043d\u0447\u0435\u0432, \u0422\u043e\u0434\u043e\u0440 \u041c\u0438\u0442\u0435\u0432 \/<br \/>\nMitko Kunchev, Todor Mitev<br \/>\n379 \u2013 392 \u041f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u043d\u0435\u0447\u0435\u0442\u043a\u0438\u0445 \u0437\u0430\u043f\u0440\u043e\u0441\u043e\u0432 \u0434\u043b\u044f \u0440\u0435\u043b\u044f\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0431\u0430\u0437 \u0434\u0430\u043d\u043d\u044b\u0445 [A Practical Method for Implementing Fuzzy Queries for Relational Databases] \/ \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u043e\u0432\u0438\u0447 \u0420\u044b\u0431\u0430\u043d\u043e\u0432 \/<br \/>\nAlexander Aleksandrovich Rybanov<br \/>\n393 \u2013 404 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0438\u0433\u0440\u0430\u0442\u0430 \u201e\u0410\u0437 \u0438\u043c\u0430\u043c\u2026, \u043a\u043e\u0439 \u0438\u043c\u0430\u2026?\u201c \u043f\u0440\u0438 \u043f\u0440\u0435\u0433\u043e\u0432\u043e\u0440\u043d\u0438 \u0443\u0440\u043e\u0446\u0438 \u043f\u043e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0432 \u043f\u0440\u043e\u0433\u0438\u043c\u043d\u0430\u0437\u0438\u0430\u043b\u0435\u043d \u0438 \u0433\u0438\u043c\u043d\u0430\u0437\u0438\u0430\u043b\u0435\u043d \u0435\u0442\u0430\u043f [Application of the Game \u201cI Have\u2026, Who Has\u2026?\u201d in Information Technology Revision Lessons in Junior High School and High School] \/ \u0413\u0435\u0440\u0433\u0430\u043d\u0430 \u041a\u0430\u0440\u0430\u0431\u0435\u043b\u044c\u043e\u0432\u0430, \u0424\u0438\u043b\u0438\u043f \u041f\u0435\u0442\u0440\u043e\u0432 \/ Gergana Karabelyova, Philip Petrov<br \/>\n484 \u2013 493 Types of Solutions in the Didactic Game \u201cLogical Monsters\u201d \/ Nataliya Hristova Pavlova, Michaela Toncheva<br \/>\n494 \u2013 504 \u0418\u0437\u0443\u0447\u0430\u0432\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u043c\u0435\u0440\u043d\u0438 \u0435\u0434\u0438\u043d\u0438\u0446\u0438 \u0437\u0430 \u0431\u0438\u043d\u0430\u0440\u043d\u0430 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044f \u2013 \u0443\u0447\u0443\u0434\u0432\u0430\u0449\u043e \u0443\u043f\u043e\u0440\u0441\u0442\u0432\u0430\u0449 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0437\u0430 \u0431\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u0430\u0442\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 [The Learning of Measurement Units for Binary Information \u2013 a Surprisingly Problematic Topic for the Bulgarian Education System] \/ \u0424\u0438\u043b\u0438\u043f \u041f\u0435\u0442\u0440\u043e\u0432 \/ Philip Petrov<br \/>\n574 \u2013586 Mobile Game-Based Math Learning for Primary School \/ Margarita Gocheva, Nikolay Kasakliev, Elena Somova<br \/>\n587 \u2013 601 \u041d\u044f\u043a\u043e\u0438 \u0438\u0437\u0432\u043e\u0434\u0438 \u0432\u044a\u0440\u0445\u0443 \u0440\u0435\u0437\u0443\u043b\u0442\u0430\u0442\u0438\u0442\u0435 \u043e\u0442 \u043d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u043e\u0442\u043e \u0432\u044a\u043d\u0448\u043d\u043e \u043e\u0446\u0435\u043d\u044f\u0432\u0430\u043d\u0435 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0437\u0430 VII \u043a\u043b\u0430\u0441 [Some Conclusions on the Results of the National External Assessment in Mathematics for 7th Grade] \/ \u041f\u0430\u0432\u043b\u0438\u043d \u0426\u043e\u043d\u0435\u0432 \/ Pavlin Tsonev<\/p>\n<p><strong>EDUCATIONAL MATTERS \/ \u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418<\/strong><br \/>\n7 \u2013 18 The Influence of Collaborative Learning on Students\u2019 Achievement in Examining Functions with Parameters in Dynamic Software Environment \/ Radoslav Bozic, Djurdjica Takaci, Milan Grujin<br \/>\n19 \u2013 29 Convolutional Neural Networks in the Task of Image Classification \/ Larisa Zelenina, Liudmila Khaimina, Evgenii Khaimin, D. Khripunov, Inga Zashikhina<br \/>\n131 \u2013 138 Computer Models for Playing Billiards Using Frontal Shot \/ Toni Chehlarova<br \/>\n139 \u2013 148 Vocabulary Enrichment in Computer Science for International Students at the Preparatory Department of the University \/ Svetlana Mikhaelis, Vladimir Mikhaelis, Dmitrii Mikhaelis<br \/>\n231 \u2013 246 Converting Numeral Text in Bulgarian into Digit Number Using GATE \/<br \/>\nNadezhda Borisova, Elena Karashtranova<br \/>\n247 \u2013 258 Recognition of Problematic Educational Situations in Computer Modeling Training \/ Hristo Hristov, Radka Cherneva<br \/>\n335 \u2013 343 A Comparative Analysis of Assessment Results from Face-to-Face and Online Exams \/ Emiliya Koleva, Neli Baeva<br \/>\n344 \u2013 357 \u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u043e \u0432\u044a\u043d\u0448\u043d\u043e \u043e\u0446\u0435\u043d\u044f\u0432\u0430\u043d\u0435 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0432 IV \u043a\u043b\u0430\u0441 \u043f\u0440\u0435\u0437 2022 \u0433\u043e\u0434\u0438\u043d\u0430 [National External Assessment in Mathematics in 4th Class in 2022] \/<br \/>\n\u0422\u043e\u043d\u0438 \u0427\u0435\u0445\u043b\u0430\u0440\u043e\u0432\u0430 \/ Toni Chehlarova<br \/>\n423 \u2013 434 Security Analysis on Content Management Systems \/ Lilyana Petkova, Vasilisa Pavlova<br \/>\n435 \u2013 449 Monitoring of Student Enrolment Campaign through Data Analytics Tools \/ Silvia Gaftandzhieva, Rositsa Doneva, Milen Bliznakov<br \/>\n523 \u2013 532 Complex Solutions to Quadratic Inequalities and Their Modeling by Means of \/ Aslanbek Khamidovitch Naziev<br \/>\n533 \u2013 545 Best E-Learning Platforms for Blended Learning in Higher Education \/ Kalin Dimitrov, Eugenia Kovatcheva<\/p>\n<p><strong>EDUCATIONAL TECHNOLOGIES \/ \u041e\u0411\u0420\u0410\u0417\u041e\u0412\u0410\u0422\u0415\u041b\u041d\u0418 \u0422\u0415\u0425\u041d\u041e\u041b\u041e\u0413\u0418\u0418<\/strong><br \/>\n30 \u2013 44 Developing Problem Solving Competency Using Functional Programming Style \/ Muharem Mollov, Petar Petrov<br \/>\n45 \u2013 52 Innovative Proposals for Database Storage and Management \/ Yulian Ivanov Petkov, Alexandre Ivanov Chikalanov<br \/>\n53 \u2013 71 \u041a\u0440\u0438\u043f\u0442\u043e\u0433\u0440\u0430\u0444\u0438\u044f \u0438 \u043a\u0440\u0438\u043f\u0442\u043e\u0430\u043d\u0430\u043b\u0438\u0437 \u0441 MS EXCEL [Cryptography and Cryptanalysis in MS EXCEL] \/ \u0414\u0435\u044f\u043d \u041c\u0438\u0445\u0430\u0439\u043b\u043e\u0432 \/ Deyan Mihaylov<br \/>\n149 \u2013 159 STEM Robotics in Primary School \/ Tsanko Mihov, Gencho Stoitsov, Ivan Dimitrov<br \/>\n160 \u2013 170 \u0423\u0447\u0430\u0441\u0442\u0438\u0435\u0442\u043e \u043d\u0430 \u0431\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u0438\u0442\u0435 \u0443\u0447\u0435\u043d\u0438\u0446\u0438 \u0432 \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u044f\u0442\u0430 \u043f\u043e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u043f\u0440\u0435\u0437 2021 \u0433. [The Participation of Bulgarian School Students in Informatics Competitions for 2021] \/ \u0415\u043c\u0438\u043b \u041a\u0435\u043b\u0435\u0432\u0435\u0434\u0436\u0438\u0435\u0432 \/ Emil Kelevedjiev<br \/>\n171 \u2013 185 \u0417\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u044f\u0442\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u043b\u0438\u043d\u0433\u0432\u0438\u0441\u0442\u0438\u043a\u0430 \u0432 \u043a\u043e\u043d\u0442\u0435\u043a\u0441\u0442\u0430 \u043d\u0430 \u041d\u0412\u041e \u2013 \u0425 \u043a\u043b\u0430\u0441 [Problems from the Mathematical Linguistics Competitions in the Context of the Bulgarian National External Assessment by the End of the 10th Grade] \/ \u0411\u043e\u0440\u0438\u0441\u043b\u0430\u0432 \u041b\u0430\u0437\u0430\u0440\u043e\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u0417\u043b\u0430\u0442\u0438\u043b\u043e\u0432 \/ Borislav Lazarov, Veselin Zlatilov<br \/>\n259 \u2013 275 Effects of Short-Term STEM Intervention on the Achievement of 9th Grade Students in Mathematics \/ Amra Durakovi\u0107, Dina Kamber Hamzi\u0107<br \/>\n276 \u2013 282 \u0414\u0438\u043d\u0430\u043c\u0438\u0447\u043d\u0438\u044f\u0442 \u0441\u043e\u0444\u0442\u0443\u0435\u0440 \u0432 \u043f\u043e\u043c\u043e\u0449 \u043d\u0430 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0435 \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0430\u0442\u0430 [Solving Real-World Problems Using the Dynamic Mathematical Software] \/ \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u0413\u0443\u0448\u0435\u0432, \u0414\u0430\u043d\u0430\u0438\u043b \u0413\u0443\u0448\u0435\u0432 \/ Vesselin Gushev, Danail Gushev<br \/>\n358 \u2013 364 \u0414\u0432\u0430\u0434\u0435\u0441\u0435\u0442 \u0438 \u0448\u0435\u0441\u0442\u0430 \u043c\u043b\u0430\u0434\u0435\u0436\u043a\u0430 \u0431\u0430\u043b\u043a\u0430\u043d\u0441\u043a\u0430 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [Twenty-sixth Junior Balkan Mathematical Olympiad] \/ \u0418\u0432\u0430\u0439\u043b\u043e \u041a\u043e\u0440\u0442\u0435\u0437\u043e\u0432, \u041c\u0438\u0440\u043e\u0441\u043b\u0430\u0432 \u041c\u0430\u0440\u0438\u043d\u043e\u0432 \/ Ivaylo Kortezov, Miroslav Marinov<br \/>\n356 \u2013 377 Personal Data Processing in a Digital Educational Environment \/ Evgeniya Nikolova, Mariya Monova-Zheleva, Yanislav Zhelev<br \/>\n450 \u2013 466 Error Management Training in Computer Programming Courses through a System of Tasks \/ Lasko M. Laskov<br \/>\n467 \u2013 483 Readiness of Ukrainian Mathematics Teachers to Use Computer Games in the Educational Process \/ Alina Voievoda, Svitlana Pudova, Oleh Konoshevskyi<br \/>\n546 \u2013555 Sets of Non-Self-Intersecting Paths Connecting the Vertices of a Convex Polygon \/ Ivaylo Kortezov<br \/>\n556 \u2013 573 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0438\u0437\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u0441\u043a\u0438\u044f \u043f\u043e\u0434\u0445\u043e\u0434 \u0432 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0447\u0440\u0435\u0437 \u0435\u0434\u0438\u043d \u043f\u043e\u043f\u0443\u043b\u044f\u0440\u0435\u043d \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u043e\u043a\u0443\u0441 (\u041d\u043e\u0432 \u043f\u043e\u0433\u043b\u0435\u0434 \u043a\u044a\u043c \u0441\u0442\u0430\u0440\u0438 \u0438\u0434\u0435\u0438) [Application of the Inquiry Based Learning Approach in Informatics Education with a Popular Mathematical Magic Trick<br \/>\n(A New Look at Old Ideas)] \/ \u0424\u0438\u043b\u0438\u043f \u041f\u0435\u0442\u0440\u043e\u0432 \/ Philip Petrov<\/p>","protected":false},"excerpt":{"rendered":"<p>PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418 Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1: 1 \u2013 124 Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2: 125 \u2013 223 Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3: 224 \u2013 327 Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4: 328 \u2013 416 Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5: 417 \u2013 516 Number 6 \/ \u041a\u043d\u0438\u0436\u043a\u0430 6: 517 \u2013 616 CONTEST PROBLEMS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"subtitle":"","format":"standard","video":"","gallery":"","source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"single_blog_custom":"","parallax":"0","fullscreen":"0","sidebar":"","second_sidebar":"","sticky_sidebar":"0","share_position":"","share_float_style":"","show_share_counter":"0","show_view_counter":"0","show_featured":"0","show_post_meta":"0","show_post_author":"0","show_post_author_image":"0","show_post_date":"0","post_date_format":"","post_date_format_custom":"","show_post_category":"0","show_post_reading_time":"0","post_reading_time_wpm":"","show_post_tag":"0","show_prev_next_post":"0","show_popup_post":"0","number_popup_post":"1","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"","single_post_gallery_size":""}],"trending_post":"0","trending_post_position":"","trending_post_label":""},"jnews_primary_category":{"id":""}},"categories":[4193],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - 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