{"id":105641,"date":"2023-12-30T18:36:49","date_gmt":"2023-12-30T15:36:49","guid":{"rendered":"https:\/\/azbuki.bg\/?p=105641"},"modified":"2023-12-30T18:36:49","modified_gmt":"2023-12-30T15:36:49","slug":"godishno-sadarzhanie-sp-matematika-i-informatika-tom-66-2023-g","status":"publish","type":"post","link":"https:\/\/science.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/godishno-sadarzhanie-sp-matematika-i-informatika-tom-66-2023-g\/","title":{"rendered":"\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c,  \u0442\u043e\u043c 66 (2023 \u0433.)"},"content":{"rendered":"<h3 style=\"text-align: center;\">Annual contents<br \/>\n\u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c,<br \/>\n\u0442\u043e\u043c 66 (2023 \u0433.)<br \/>\nAnnual Contents<br \/>\nMathematics and Informatics,<br \/>\nVolume 66 (2023)<\/h3>\n<div style=\"text-align: center;\"><\/div>\n<div>PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418<\/div>\n<div><strong>Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1:<\/strong> \u00a0 \u00a01 \u2013 100<\/div>\n<div><strong>Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2:<\/strong> 101 \u2013 223<\/div>\n<div><strong>Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3:<\/strong> 217 \u2013 320<\/div>\n<div><strong>Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4:<\/strong> 321 \u2013 436<\/div>\n<div><strong>Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5:<\/strong> 437 \u2013 552<\/div>\n<div><strong>Number 6 \/ \u041a\u043d\u0438\u0436\u043a\u0430 6:<\/strong> 553 \u2013 668<\/div>\n<div><\/div>\n<div>\n<div><strong>SCIENCE IN EDUCATION \/ \u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418<\/strong><\/div>\n<div>7 \u2013 12\u041d\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430 \u043b\u0438\u0446\u0435 \u043d\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a (\u0447\u0435\u0442\u0438\u0432\u043e \u0437\u0430 VII \u043a\u043b\u0430\u0441)<\/div>\n<div>[A new Formula for the Area of the Quadrilateral (Reading for Grade 7th)] \/<\/div>\n<div>\u0419\u043e\u0440\u0434\u0430\u043d \u0422\u0430\u0431\u043e\u0432, \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432, \u0410\u0441\u0435\u043d \u0412\u0435\u043b\u0447\u0435\u0432, \u0425\u0430\u0438\u043c \u0425\u0430\u0438\u043c\u043e\u0432 \/ Jordan Tabov, Stanislav Stefanov, Asen Velchev, Haim Haimov<\/div>\n<div>13 \u2013 21:The Power of a Point \u2014 a Vector Perspective \/ Boyko Bantchev<\/div>\n<div>22 \u2013 34: \u0424\u043e\u0440\u043c\u0443\u043b\u0438 \u0437\u0430 \u043b\u0438\u0446\u0430\u0442\u0430 \u043d\u0430 \u043d\u044f\u043a\u043e\u0438 \u0432\u0438\u0434\u043e\u0432\u0435 \u043c\u043d\u043e\u0433\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u0446\u0438 \u0438 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435\u0442\u043e \u0438\u043c \u0437\u0430 \u0434\u043e\u043a\u0430\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u0432 \u0442\u044f\u0445 [Formulae for the Areas of Some Kinds of Polygons and its Application in Proving Relations in them] \/ \u0419\u043e\u0440\u0434\u0430\u043d \u0422\u0430\u0431\u043e\u0432, \u0410\u0441\u0435\u043d \u0412\u0435\u043b\u0447\u0435\u0432, \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432, \u0425\u0430\u0438\u043c \u0425\u0430\u0438\u043c\u043e\u0432 \/ Jordan Tabov, Asen Velchev, Stanislav Stefanov, Haim Haimov<\/div>\n<div>107 \u2013 114:Algorithms for Construction and Enumeration of Closed Knight\u2019s Paths \/ Stoyan Kapralov, Valentin Bakoev, Kaloyan Kapralov<\/div>\n<div>115 \u2013 123:\u041f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 \u043d\u0430 \u043e\u0441\u0442\u0430 \u043d\u0430 \u0434\u0432\u0435 \u043a\u0440\u044a\u0441\u0442\u043e\u0441\u0430\u043d\u0438 \u043f\u0440\u0430\u0432\u0438 [Constructing the Common Perpendicular of Two Skew Lines] \/ \u041c\u0438\u0442\u043a\u043e \u041a\u0443\u043d\u0447\u0435\u0432 \/ Mitko Kunchev<\/div>\n<div>223 \u2013 233:\u041e\u0431\u0437\u043e\u0440 \u0438 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0432 \u043f\u0440\u043e\u0444\u0435\u0441\u0438\u043e\u043d\u0430\u043b\u043d\u0438\u0442\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u0438 \u043d\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0438\u0442\u0435 \u0434\u0438\u043f\u043b\u043e\u043c\u0430\u043d\u0442\u0438 [Overview and Development in the Professional Interests of Graduate Students] \/ \u041d\u0430\u0442\u0430\u043b\u0438\u044f \u041f\u0430\u0432\u043b\u043e\u0432\u0430 \/ Nataliya Pavlova<\/div>\n<div>234 \u2013 243:\u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0438 \u043e\u0442 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f\u0442\u0430 \u043d\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a\u0430 \u0437\u0430 \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u043d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [An Application of Elements of the Quadrilateral\u2019s Geometry for Solving Non-standard Problems] \/ \u0419\u043e\u0440\u0434\u0430\u043d \u0422\u0430\u0431\u043e\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432, \u0410\u0441\u0435\u043d \u0412\u0435\u043b\u0447\u0435\u0432, \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432 \/ Yordan Tabov, Veselin Nenkov, Asen Velchev, Stanislav Stefanov<\/div>\n<div>327 \u2013 338:Triples of Disjoint Paths \u0432etween Points on a Circle \/ Ivaylo Kortezov<\/div>\n<div>339 \u2013 352:Enriching Large Document Stores with Intelligent Metadata: a Framework for Effective Knowledge Management and Applied Analytics \/ Penko Ivanov, Elitsa Pavlova<\/div>\n<div>443 \u2013 451:Areas Associated to a Quadrilateral \/ Oleg Mushkarov, Nikolai Nikolov<\/div>\n<div>452 \u2013 464:On the Dynamics of a Class of Third-Order Polynomial Difference Equations with Infinite Number of Period-Three Solutions \/ Jasmin Bekte\u0161evi\u0107, Vahidin Had\u017eiabdi\u0107, Midhat Mehulji\u0107, Sadjit Metovi\u0107,<\/div>\n<div>Dr. Haris Luli\u0107<\/div>\n<div>465 \u2013 478:\u0421\u0438\u0441\u0442\u0435\u043c\u0430 \u0437\u0430 \u0438\u0437\u0432\u043b\u0438\u0447\u0430\u043d\u0435 \u0438 \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f \u043d\u0430 \u0434\u0430\u043d\u043d\u0438 \u043e\u0442 \u0438\u043d\u0442\u0435\u0440\u043d\u0435\u0442 [System for Retrieval and Visualization of Data from the Internet] \/ \u0413\u0435\u043e\u0440\u0433\u0438 \u0427\u043e\u043b\u0430\u043a\u043e\u0432, \u0415\u043c\u0438\u043b \u0414\u043e\u0439\u0447\u0435\u0432, \u0421\u0432\u0435\u0442\u043b\u0430 \u041a\u043e\u0435\u0432\u0430 \/ Georgi Cholakov, Emil Doychev, Svetla Koeva<\/div>\n<div>559 \u2013 578:Mirror (left-recursive) Gray Code \/ Valentin Bakoev<\/div>\n<div><\/div>\n<div><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><\/div>\n<div>35 \u2013 49:\u0417\u0430\u0434\u044a\u043b\u0436\u0435\u043d\u0438\u044f \u0438 \u0438\u0437\u0438\u0441\u043a\u0432\u0430\u043d\u0438\u044f \u043a\u044a\u043c \u043a\u0432\u0430\u043b\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f\u0442\u0430 \u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0441\u043a\u0430\u0442\u0430 \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u0430 \u043d\u0430 \u0440\u044a\u043a\u043e\u0432\u043e\u0434\u0438\u0442\u0435\u043b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u201e\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0438 \u043a\u043e\u043c\u0443\u043d\u0438\u043a\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438\u201c \u0432 \u0431\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u043e\u0442\u043e \u0443\u0447\u0438\u043b\u0438\u0449\u0435 [Obligations and Requirements for the Qualification and University Education of the Information and Communication Technologies Department Chair in Bulgarian Schools] \/ \u041c\u0430\u0440\u0438\u044f\u043d\u0430 \u041d\u0438\u043a\u043e\u043b\u043e\u0432\u0430, \u041d\u0435\u043b\u0438 \u041a\u0438\u0441\u043a\u0438\u043d\u043e\u0432\u0430 \/ Mariyana Nikolova, Neli Kiskinova<\/div>\n<div>50 \u2013 66:\u0422\u0435\u0441\u0442\u043e\u0432\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0434\u044a\u0440\u0436\u0430\u0432\u043d\u0438\u044f \u0437\u0440\u0435\u043b\u043e\u0441\u0442\u0435\u043d \u0438\u0437\u043f\u0438\u0442 \u0437\u0430 \u043f\u0440\u043e\u0444\u0438\u043b \u201e\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c \u043f\u0440\u0435\u0437 \u0443\u0447\u0435\u0431\u043d\u0430\u0442\u0430 2021\/2022 \u0433\u043e\u0434\u0438\u043d\u0430 [The Test Tasks from the State Matriculation Examination for the Informatics Profile during the Academic Year 2021\/2022] \/ \u0414\u0438\u043c\u0438\u0442\u044a\u0440 \u0410\u0442\u0430\u043d\u0430\u0441\u043e\u0432, \u041a\u0440\u0430\u0441\u0438\u043c\u0438\u0440 \u041c\u0430\u043d\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0430 \u0421\u0442\u043e\u0438\u043c\u0435\u043d\u043e\u0432\u0430, \u0420\u0430\u043b\u0438\u0446\u0430 \u0412\u043e\u0439\u043d\u043e\u0432\u0430 \/ Dimitar Atanasov, Krassimir Manev, Vesela Stoimenova, Ralica Voynova<\/div>\n<div>124 \u2013 140:Dual Form of Obtaining Education in the Mathematics Teachers Training System: Employers\u2018 Position \/ Roman Vernydub, Oxana Trebenko, Oleksandr Shkolnyi<\/div>\n<div>141 \u2013 154:\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0438\u0447\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0434\u044a\u0440\u0436\u0430\u0432\u043d\u0438\u044f \u0437\u0440\u0435\u043b\u043e\u0441\u0442\u0435\u043d \u0438\u0437\u043f\u0438\u0442 \u043f\u043e \u043f\u0440\u043e\u0444\u0438\u043b\u0438\u0440\u0430\u0449 \u043f\u0440\u0435\u0434\u043c\u0435\u0442 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0437\u0430 2022 \u0433. [The Algorithmic Tasks from the State Graduation Examination in the Profiling Subject of Informatics<\/div>\n<div>for 2022] \/ \u041a\u0440\u0430\u0441\u0438\u043c\u0438\u0440 \u041c\u0430\u043d\u0435\u0432 \/ Krassimir Manev<\/div>\n<div>244 \u2013 255:\u0418\u0433\u0440\u043e\u0432\u043e\u0431\u0430\u0437\u0438\u0440\u0430\u043d\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043f\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438\u0440\u0430\u043d\u0435 \u0437\u0430 \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0449\u0438 \u0432 \u0440\u0435\u0436\u0438\u043c \u043d\u0430 Pygame Zero \u2013 \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 Python. \u0427\u0430\u0441\u0442 II \u2013 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0430 Pygame [Game-based Programming Teaching for Beginners in Pygame Zero Mode \u2013 Sample Python Tasks. Part II \u2013 Pygame Library] \/ \u0420\u043e\u0441\u0438\u0446\u0430 \u0413\u0435\u043e\u0440\u0433\u0438\u0435\u0432\u0430 \/ Rositsa Georgieva<\/div>\n<div>256 \u2013 267:\u0423\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043d\u0430 \u0437\u043d\u0430\u043d\u0438\u044f\u0442\u0430 \u043f\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0438 \u043e\u0442 \u0434\u0430\u043d\u043d\u0438 \u0447\u0440\u0435\u0437 \u0441\u043c\u0435\u0441\u0435\u043d\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 [Data Structure Knowledge Management through Blended Learning] \/<\/div>\n<div>\u0412\u0430\u043b\u0435\u043d\u0442\u0438\u043d\u0430 \u0414\u044f\u043d\u043a\u043e\u0432\u0430, \u041c\u0438\u043b\u043a\u043e \u042f\u043d\u043a\u043e\u0432 \/ Valentina Dyankova, Milko Yankov<\/div>\n<div>268 \u2013 280:Flipped Classroom and Traditional Method in Teaching Mathematics in Bulgarian School \/ Evgeniya Nikolova<\/div>\n<div>353 \u2013 372:Multiple Representations of Functions in the Frame of Distance Learning \/<\/div>\n<div>Radoslav Bo\u017ei\u0107, Hajnalka Peics, Aleksandar Milenkovi\u0107<\/div>\n<div>373 \u2013 389:Integrated Lessons in Calculus Using Software \/ Pohoriliak Oleksandr, Olga Syniavska, Anna Slyvka-Tylyshchak, Antonina Tegza, Alexander Tylyshchak<\/div>\n<div>479 \u2013 490:Evaluati\u043en of Children\u2019s Behaviour in the Context of an Educational Mobile Game \/ Margarita Gocheva, Nikolay Kasakliev, Elena Somova<\/div>\n<div>491 \u2013 505:\u0418\u0437\u0431\u043e\u0440 \u043d\u0430 \u043f\u043e\u0434\u0445\u043e\u0434\u044f\u0449 \u043c\u043e\u0434\u0435\u043b \u0437\u0430 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0435 \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u041d\u0412\u041e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0441\u043b\u0435\u0434 VII \u043a\u043b\u0430\u0441 \u0441\u043f\u043e\u0440\u0435\u0434 \u043c\u0435\u0442\u043e\u0434\u0438\u0442\u0435 \u043d\u0430 IRT [Choosing an Appropriate Model for Investigating the Tasks of School in Mathematics after Grade VII According to IRT Methods] \/ \u041f\u0430\u0432\u043b\u0438\u043d \u0426\u043e\u043d\u0435\u0432 \/ Pavlin Tsonev<\/div>\n<div>506 \u2013 523:Competency-Based Model for Conducting Distance Online Synchronous Education of the Students \/ Desislava Georgieva<\/div>\n<div>579 \u2013 595: \u0417\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u043e\u043d\u043b\u0430\u0439\u043d \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u0435\u0442\u043e \u201eVIVA \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0441 \u043a\u043e\u043c\u043f\u044e\u0442\u044a\u0440\u201c \u2013 \u0440\u0435\u0441\u0443\u0440\u0441 \u0437\u0430 \u0440\u0430\u0431\u043e\u0442\u0430 \u0432 STEM \u0446\u0435\u043d\u0442\u0440\u043e\u0432\u0435\u0442\u0435 [Tasks from Online Competition \u201cVIVA Mathematics with \u0430 Computer\u201d: a Resource for Work in STEM Centers] \/ \u0413\u0435\u043e\u0440\u0433\u0438 \u0413\u0430\u0447\u0435\u0432, \u041f\u0435\u0442\u044a\u0440 \u041a\u0435\u043d\u0434\u0435\u0440\u043e\u0432, \u0422\u043e\u043d\u0438 \u0427\u0435\u0445\u043b\u0430\u0440\u043e\u0432\u0430 \/ Georgi Gachev, Petar Kenderov, Toni Chehlarova<\/div>\n<div>596 \u2013 606: The Construction of Valid and Reliable Test for the Divisibility Area \/ Daniela Zubovi\u0107, Dina Kamber Hamzi\u0107<\/div>\n<div><\/div>\n<div><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><\/div>\n<div>67 \u2013 72:Several Opportunities for Implementing the Training in \u201cComputer Modeling and Information Technologies\u201d in the 7th Grade \/ Krasimir Harizanov<\/div>\n<div>155 \u2013 169:\u0418\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0435 \u043d\u0430 \u0432\u043b\u0438\u044f\u043d\u0438\u0435\u0442\u043e \u043d\u0430 \u043e\u043d\u043b\u0430\u0439\u043d \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u0432\u044a\u0440\u0445\u0443 \u043e\u0442\u0434\u0435\u043b\u043d\u0438\u0442\u0435 \u0441\u0442\u0438\u043b\u043e\u0432\u0435 \u043d\u0430 \u0443\u0447\u0435\u043d\u0435 [Research on the Impact of Online Learning on Individual Learning Styles] \/ \u042f\u0432\u043e\u0440 \u0414\u0435\u0447\u0435\u0432 \/ Yavor Dechev<\/div>\n<div>170 \u2013 187:\u0418\u0433\u0440\u043e\u0432\u043e \u0431\u0430\u0437\u0438\u0440\u0430\u043d\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043f\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438\u0440\u0430\u043d\u0435 \u0437\u0430 \u043d\u0430\u0447\u0438\u043d\u0430\u0435\u0449\u0438 \u0432 \u0440\u0435\u0436\u0438\u043c \u043d\u0430 Pygame Zero \u2013 \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441 turtle \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u043d\u0430 Python [Game-based Programming Training for Beginners in the Pygame Zero Environment \u2013 Sample Assignments with Python Turtle Graphics] \/<\/div>\n<div>\u0420\u043e\u0441\u0438\u0446\u0430 \u0413\u0435\u043e\u0440\u0433\u0438\u0435\u0432\u0430 \/ Rositsa Georgieva<\/div>\n<div>188 \u2013 204:\u041f\u043e\u0434\u0445\u043e\u0434 \u043d\u0430 \u043f\u0440\u043e\u0444\u0438\u043b\u0438\u0440\u0430\u043d\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043f\u043e \u0443\u0435\u0431 \u0434\u0438\u0437\u0430\u0439\u043d \u0432 \u0433\u0438\u043c\u043d\u0430\u0437\u0438\u0430\u043b\u0435\u043d \u0435\u0442\u0430\u043f \u043d\u0430 \u0441\u0440\u0435\u0434\u043d\u043e\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 [Web Design Training Approach in High School Stage of Secondary Profiled Education] \/ \u0418\u0432\u0435\u043b\u0438\u043d\u0430 \u0412\u0435\u043b\u0447\u0435\u0432\u0430, \u0425\u0440\u0438\u0441\u0442\u043e<\/div>\n<div>\u0425\u0440\u0438\u0441\u0442\u043e\u0432 \/ Ivelina Velchev\u0430, Hristo Hristov<\/div>\n<div>281 \u2013 297:Graphic Culture of Constructive Modeling of Figures in Metric Stereometry \/ Ivan Lenchuk, Alla Prus<\/div>\n<div>298 \u2013 308:Using Sensors to Detect and Analyze Students\u2019 Attention during Road Safety Training in Primary School \/ Stefan Stavrev, Ivelina Velcheva<\/div>\n<div>390 \u2013 413:\u0420\u0435\u043a\u0443\u0440\u0435\u043d\u0442\u043d\u0438\u0442\u0435 \u0440\u0435\u0434\u0438\u0446\u0438 \u0432 \u0443\u0447\u0438\u043b\u0438\u0449\u043d\u0438\u044f \u043a\u0443\u0440\u0441 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u043c\u0435\u0436\u0434\u0443\u043f\u0440\u0435\u0434\u043c\u0435\u0442\u043d\u0438\u0442\u0435 \u0438\u043c \u0432\u0440\u044a\u0437\u043a\u0438 \u0441 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \/ \u0411\u043e\u0440\u0438\u0441\u043b\u0430\u0432\u0430 \u041a\u0438\u0440\u0438\u043b\u043e\u0432\u0430, \u0424\u0438\u043b\u0438\u043f \u041f\u0435\u0442\u0440\u043e\u0432 \/ Borislava Kirilova, Philip Petrov<\/div>\n<div>524 \u2013 533:\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u044a\u043c \u0437\u0430 \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u0442\u0440\u0430\u043d\u0441\u043f\u043e\u0440\u0442\u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0430 \u0441 MS Excel Solver [Algorithm for Solution of a Transportation Problem with MS Excel Solver] \/ \u041c\u0430\u0440\u0438\u044f\u043d \u041c\u0438\u043b\u0435\u0432, \u0412\u0435\u043b\u0438\u043a\u0430 \u041a\u0443\u043d\u0435\u0432\u0430 \/ Mariyan Milev, Velika Kuneva<\/div>\n<div>607 \u2013 623: Quality of Blended Learning Courses: Students\u2019 Perspective \/ Silvia Gaftandzhieva, Rositsa Doneva, Sadiq Hussain, Ashis Talukder, Gunadeep Chetia, Nisha Gohain<\/div>\n<div>624 \u2013 635: \u041f\u0440\u0438\u043c\u0435\u0440 \u0437\u0430 \u0433\u0440\u0435\u0448\u043a\u0438 \u043e\u0442 \u0443\u0447\u0438\u043b\u0438\u0449\u043d\u0430\u0442\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u043a\u043e\u0438\u0442\u043e \u0432\u043b\u0438\u044f\u044f\u0442 \u043d\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044f\u043d\u0435\u0442\u043e \u043d\u0430 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u044f [Mistakes from the School Mathematics that Impact Students\u2019 Performance in Mathematics Competitions: an Example] \/ \u041d\u0430\u0434\u0435\u0436\u0434\u0430 \u0410\u043f\u043b\u0430\u043a\u043e\u0432\u0430 \/ Nadezhda Aplakova<\/div>\n<div>636 \u2013 644 \u041c\u043e\u0434\u0435\u043b \u043d\u0430 \u041b\u0435\u043e\u043d\u0442\u0438\u0435\u0432 \u0441 MS Excel [Leontief Model with MS Excel Solver] \/ \u0412\u0435\u043b\u0438\u043a\u0430 \u041a\u0443\u043d\u0435\u0432\u0430, \u041c\u0430\u0440\u0438\u044f\u043d \u041c\u0438\u043b\u0435\u0432 \/ Velika Kuneva, Mariyan Milev<\/div>\n<div>645 \u2013 652:\u0414\u0432\u0430\u0434\u0435\u0441\u0435\u0442 \u0438 \u0441\u0435\u0434\u043c\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-seventh 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<\/div>\n<div><\/div>\n<div><strong>OVERVIEW \/ \u041e\u0411\u0417\u041e\u0420<\/strong><\/div>\n<div>73 \u2013 88:\u041a\u044a\u043c \u0432\u044a\u043f\u0440\u043e\u0441\u0430 \u0437\u0430 \u043f\u0443\u0431\u043b\u0438\u0447\u043d\u043e \u0434\u043e\u0441\u0442\u044a\u043f\u043d\u0438 \u043d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u0438 \u0431\u0430\u0437\u0438 \u043e\u0442 \u0434\u0430\u043d\u043d\u0438, \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u0449\u0438 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u043d\u0430 \u0443\u044f\u0437\u0432\u0438\u043c\u043e\u0441\u0442\u0438 \u0437\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u0437\u0430 \u043c\u043e\u0431\u0438\u043b\u043d\u0438 \u0443\u0441\u0442\u0440\u043e\u0439\u0441\u0442\u0432\u0430 [To the Issue of Publicly Available National Databases Containing Descriptions of Vulnerabilities for Mobile Device Operating Systems] \/ \u0421\u0442\u043e\u044f\u043d \u041c\u0435\u0447\u0435\u0432 \/ Stoyan Mechev<\/div>\n<div>414 \u2013 424:\u0420\u0435\u0437\u0443\u043b\u0442\u0430\u0442\u0438 \u043e\u0442 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u0432\u0438\u0434\u0435\u043e\u0438\u0433\u0440\u0438 \u0432 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e: \u043f\u0440\u0435\u0433\u043b\u0435\u0434 \u043d\u0430 \u043d\u044f\u043a\u043e\u0438 \u043e\u0441\u043d\u043e\u0432\u043d\u0438 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0438\u044f \u043e\u0442 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0438\u0442\u0435 \u0434\u0435\u0441\u0435\u0442 \u0433\u043e\u0434\u0438\u043d\u0438 \/ \u041a\u0430\u043b\u0438\u043d \u0414\u0438\u043c\u0438\u0442\u0440\u043e\u0432, \u0415\u0432\u0433\u0435\u043d\u0438\u044f \u041a\u043e\u0432\u0430\u0447\u0435\u0432\u0430<\/div>\n<div>534 \u2013 542:\u0418\u0437\u0431\u043e\u0440 \u0438 \u043e\u0431\u043e\u0441\u043d\u043e\u0432\u043a\u0430 \u043d\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0438 \u0437\u0430 \u0441\u0440\u0430\u0432\u043d\u0438\u0442\u0435\u043b\u0435\u043d \u0430\u043d\u0430\u043b\u0438\u0437 \u043d\u0430 \u043d\u0438\u0441\u043a\u043e\u0440\u0435\u0441\u0443\u0440\u0441\u043d\u0438 \u0448\u0438\u0444\u0440\u0438 [Selection and Justification of Criteria for Comparative Analysis of Lightweight Ciphers] \/ \u0414\u0438\u043b\u044f\u043d\u0430 \u0414\u0438\u043c\u0438\u0442\u0440\u043e\u0432\u0430 \/ Dilyana Dimitrova<\/div>\n<div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u0442\u043e\u043c 66 (2023 \u0433.) Annual Contents Mathematics and Informatics, Volume 66 (2023) PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418 Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1: \u00a0 \u00a01 \u2013 100 Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2: 101 \u2013 223 Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3: 217 \u2013 320 Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4: 321 \u2013 436 Number [&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":{"source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"template":"1","single_blog_custom":"","parallax":"1","fullscreen":"1","layout":"right-sidebar","sidebar":"default-sidebar","second_sidebar":"default-sidebar","sticky_sidebar":"1","share_position":"bottom","share_float_style":"share-monocrhome","show_share_counter":"1","show_view_counter":"1","show_featured":"0","show_post_meta":"1","show_post_author":"0","show_post_author_image":"1","show_post_date":"0","post_date_format":"default","post_date_format_custom":"Y\/m\/d","show_post_category":"1","show_post_reading_time":"1","post_reading_time_wpm":"300","show_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","show_post_tag":"1","show_prev_next_post":"1","show_popup_post":"1","number_popup_post":"3","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"crop-500","single_post_gallery_size":"crop-500"}],"trending_post":"0","trending_post_position":"meta","trending_post_label":"Trending","sponsored_post":"0","sponsored_post_label":"Sponsored by","sponsored_post_name":"","sponsored_post_url":"","sponsored_post_logo_enable":"0","sponsored_post_logo":"","sponsored_post_desc":"","disable_ad":"0"},"jnews_primary_category":{"id":"","hide":""}},"categories":[4262],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u0442\u043e\u043c 66 (2023 \u0433.) - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathinfo.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/godishno-sadarzhanie-sp-matematika-i-informatika-tom-66-2023-g\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u0442\u043e\u043c 66 (2023 \u0433.) - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u0441\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u0442\u043e\u043c 66 (2023 \u0433.) 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