{"id":68810,"date":"2020-12-20T16:02:35","date_gmt":"2020-12-20T13:02:35","guid":{"rendered":"https:\/\/azbuki.bg\/?p=68810"},"modified":"2023-08-25T17:22:16","modified_gmt":"2023-08-25T14:22:16","slug":"godishno-sadarzhanie-na-sp-matematika-i-informatika-2020-g","status":"publish","type":"post","link":"https:\/\/newspaper.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2020-g\/godishno-sadarzhanie-na-sp-matematika-i-informatika-2020-g\/","title":{"rendered":"Annual contents of Mathematics and Informatics, 2020"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>Annual contents <\/strong><br \/>\n<strong>of Mathematics <\/strong><br \/>\n<strong>and Informatics, 2020<\/strong><\/p>\n<p style=\"text-align: left;\"><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 108<br \/>\n<strong>Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2: <\/strong>109 \u2013 229<br \/>\n<strong>Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3: <\/strong>230 \u2013 348<br \/>\n<strong>Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4: <\/strong>349 \u2013 468<br \/>\n<strong>Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5: <\/strong>469 \u2013 568<br \/>\n<strong>Number 6 \/ \u041a\u043d\u0438\u0436\u043a\u0430 6: <\/strong>569 \u2013 671<\/p>\n<p><strong>7 \u2013 8 EDITORIAL \/ \u041a\u042a\u041c \u0427\u0418\u0422\u0410\u0422\u0415\u041b\u042f<\/strong><\/p>\n<p><strong>CONTEST PROBLEMS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 \u0417\u0410\u0414\u0410\u0427\u0418<\/strong><br \/>\n95 \u2013 99 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 2, 2019 [Solutions of the Contest Problems from Issue 2, 2019]<br \/>\n100 \u2013 101 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of this Issue]<br \/>\n218 \u2013 218 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of this Issue]<br \/>\n219 \u2013 221 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 3, 2019 [Solutions of the Contest Problems from Issue 3, 2019]<br \/>\n338 \u2013 338 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of this Issue]<br \/>\n339 \u2013 341 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 4, 2019 [Solutions of the Contest Problems from Issue 4, 2019]<br \/>\n453 \u2013 453 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of this Issue]<br \/>\n454 \u2013 457 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 5, 2019 [Solutions of the Contest Problems from Issue 5, 2019]<\/p>\n<p><strong>PROBLEMS AND SOLUTIONS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 \u0417\u0410\u0414\u0410\u0427\u0418<\/strong><br \/>\n559 \u2013 559 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Problems and Solutions of this Issue]<br \/>\n660 \u2013 660 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Problems and Solutions of this Issue]<\/p>\n<p><strong>COMPETITIONS AND OLYMPIADS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u0418, \u041e\u041b\u0418\u041c\u041f\u0418\u0410\u0414\u0418, \u0421\u042a\u0421\u0422\u0415\u0417\u0410\u041d\u0418\u042f<\/strong><br \/>\n551 \u2013 558 \u0410\u043d\u0430\u043b\u0438\u0437 \u043d\u0430 \u043d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u043e\u0442\u043e \u043e\u043d\u043b\u0430\u0439\u043d \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u0435 \u043f\u043e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u201e\u0414-\u0440 \u041c\u043b\u0430\u0434\u0435\u043d \u041c\u0430\u043d\u0435\u0432\u201c [Analysis of the National Online Contest in Informatics \u201cMladen Manev\u201d] \/ \u0414\u043e\u0431\u0440\u0438\u043d \u0411\u0430\u0448\u0435\u0432, \u041f\u043b\u0430\u043c\u0435\u043d \u0414\u0438\u043d\u0435\u0432 \/ Dobrin Bashev, Plamen Dinev<\/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 \/>\n508 \u2013 526 \u0417\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0442\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u043d\u0430 \u043c\u0430\u0433\u0438\u0447\u0435\u0441\u043a\u0438\u0442\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438 \u043e\u0442 \u0447\u0435\u0442\u0432\u044a\u0440\u0442\u0438 \u0440\u0435\u0434 (\u0432 \u0437\u0430\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u043d\u0430\u0442\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430) [About the Vector Space of the Fourth Order Magic Squares (in Recreational Mathematics)] \/ \u0417\u0434\u0440\u0430\u0432\u043a\u043e \u041b\u0430\u043b\u0447\u0435\u0432, \u0418\u0440\u0438\u043d\u0430 \u0412\u0443\u0442\u043e\u0432\u0430 \/ Zdravko Lalchev, Irina Voutova<br \/>\n527 \u2013 537 \u041c\u0435\u0442\u043e\u0434 \u043d\u0430 \u0434\u0435\u0446\u0430\u0442\u0430 \u0432 \u0431\u043b\u043e\u043a\u0430 [Method of the Children in the Skyscraper] \/\u0418\u0432\u0430\u0439\u043b\u043e \u041a\u043e\u0440\u0442\u0435\u0437\u043e\u0432 \/ Ivaylo Kortezov<br \/>\n538 \u2013 550 \u0410\u0431\u0440\u0430\u0445\u0430\u043c \u0412\u0430\u043b\u0434 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0442\u0435 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0438\u044f \u0432\u044a\u0440\u0445\u0443 \u0441\u0430\u043c\u043e\u043b\u0435\u0442\u043d\u0438\u0442\u0435 \u0431\u0440\u043e\u043d\u0438 [Abraham Wald and Statistical Research on Aircraft Armor] \/\u041b\u044a\u0447\u0435\u0437\u0430\u0440 \u0422\u043e\u043c\u043e\u0432, \u0413\u0435\u043e\u0440\u0433\u0438 \u0414\u043e\u0439\u0447\u0438\u043d\u043e\u0432 \/ Latchezar Tomov, Georgi Doychinov<br \/>\n608 \u2013 621 Abstract Data Types \/ Lasko M. Laskov<br \/>\n622 \u2013 638 \u0410\u043d\u0430\u043b\u0438\u0437 \u043c\u0435\u0442\u043e\u0434\u043e\u0432 \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u043d\u0438\u044f \u0440\u0430\u0431\u043e\u0442 \u0432\u043de\u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u044b\u0445 \u043c\u0435\u0440\u043e\u043f\u0440\u0438\u044f\u0442\u0438\u0439, \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c\u044b\u0445 \u0432 \u0434\u0438\u0441\u0442\u0430\u043d\u0446\u0438\u043e\u043d\u043d\u043e\u043c \u0444\u043e\u0440\u043c\u0430\u0442\u0435 [Analysis of Methods for Evaluating the Work of Extra-Curricular Competitive Events Held in a Remote Format] \/ \u041e\u043a\u0441\u0430\u043d\u0430 \u0424\u0435\u0434\u043e\u0440\u043e\u0432\u043d\u0430 \u0410\u0431\u0440\u0430\u043c\u043e\u0432\u0430, \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 \/ Oksana Fedorovna Abramova, Alexander Alexandrovich Rybanov<br \/>\n639 \u2013 649 \u041d\u0435\u0435\u0434\u043d\u043e\u0437\u043d\u0430\u0447\u043d\u0438 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [Ambiguous Geometry Problems] \/ \u0414\u043e\u0431\u0440\u0438\u043d\u043a\u0430 \u0411\u043e\u0439\u043a\u0438\u043d\u0430 \/ Dobrinka Milusheva-Boykina<br \/>\n650 \u2013 657 \u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u0441\u0443\u0431\u0441\u0442\u0438\u0442\u0443\u0446\u0438\u0438 \u043f\u0440\u0438 \u043d\u044f\u043a\u043e\u0438 \u0430\u043b\u0433\u0435\u0431\u0440\u0438\u0447\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [Trigonometric Substitutions in Some Algebraic Tasks] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<\/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 \/>\n9 \u2013 23 Features of Using Kodu Game Lab in Teaching Programming in Elementary School \/ Adel Kaplan, Dmitry Pavlov, Myrad Myradov<br \/>\n24 \u2013 38 \u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u0430\u043d \u0434\u0438\u0434\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043c\u043e\u0434\u0435\u043b \u0437\u0430 \u0444\u043e\u0440\u043c\u0438\u0440\u0430\u043d\u0435 \u0438 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u043d\u0435 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0443\u043c\u0435\u043d\u0438\u044f \u0432 \u043f\u0440\u043e\u0433\u0438\u043c\u043d\u0430\u0437\u0438\u0430\u043b\u0435\u043d \u0435\u0442\u0430\u043f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u043d\u0430\u0442\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d [Integrated Didactical Model for the Formation and Development of Mathematical Skills at the Pre-Secondary Stage of the Basic Education] \/ \u0414\u0435\u0441\u0438\u0441\u043b\u0430\u0432\u0430 \u0413\u0435\u043e\u0440\u0433\u0438\u0435\u0432\u0430 \/ Desislava Georgieva<br \/>\n39 \u2013 50 \u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u0430\u043d\u0435 \u043d\u0430 \u0443\u0447\u0435\u0431\u043d\u043e\u0442\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u043f\u043e \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430\u201c \u0438 \u201e\u0422\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0438 \u043f\u0440\u0435\u0434\u043f\u0440\u0438\u0435\u043c\u0430\u0447\u0435\u0441\u0442\u0432\u043e\u201c \u0432 V \u043a\u043b\u0430\u0441 [Intergrating the Curriculum in Mathematics and Technologies and Entrepreneurship in 5th Grade] \/ \u041a\u043e\u0441\u0442\u0430\u0434\u0438\u043d \u041f\u0435\u0442\u043b\u0435\u0448\u043a\u043e\u0432 \/ Kostadin Petleskov<br \/>\n115 \u2013 129 \u0417\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0442\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u043e \u043d\u0430 \u043c\u0430\u0433\u0438\u0447\u0435\u0441\u043a\u0438\u0442\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438 \u043e\u0442 \u0442\u0440\u0435\u0442\u0438 \u0440\u0435\u0434 (\u0432 \u0437\u0430\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u043d\u0430\u0442\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430) [About the Vector Space of Third Order Magic Squares (in Recreational Mathematics)] \/ \u0417\u0434\u0440\u0430\u0432\u043a\u043e \u041b\u0430\u043b\u0447\u0435\u0432, \u041c\u0430\u0440\u0433\u0430\u0440\u0438\u0442\u0430 \u0412\u044a\u0440\u0431\u0430\u043d\u043e\u0432\u0430, \u041c\u0438\u0440\u043e\u0441\u043b\u0430\u0432 \u0421\u0442\u043e\u0438\u043c\u0438\u0440\u043e\u0432, \u0418\u0440\u0438\u043d\u0430 \u0412\u0443\u0442\u043e\u0432\u0430 \/ Zdravko Lalchev, Margarita Varbanova, Miroslav Stoimirov, Irina Voutova<br \/>\n130 \u2013 133 Some New Questions about Sequences of Semi-Prime and Prime Numbers \/ Mark Applebaum<br \/>\n134 \u2013 145 \u0421\u0442\u0430\u0442\u044c\u044f-\u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u043a\u0430\u043a \u0444\u043e\u0440\u043c\u0430 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u0435\u0442\u0435\u0432\u043e\u0433\u043e \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u043e\u0433\u043e \u043f\u0440\u043e\u0435\u043a\u0442\u0430 \u00ab\u042d\u043d\u0446\u0438\u043a\u043b\u043e\u043f\u0435\u0434\u0438\u044f \u043f\u043b\u043e\u0441\u043a\u0438\u0445 \u043a\u0440\u0438\u0432\u044b\u0445: \u043f\u0438\u0448\u0435\u043c \u0441\u0430\u043c\u0438\u00bb (\u043e \u0440\u0430\u0431\u043e\u0442\u0435 \u043c\u043e\u0434\u0435\u0440\u0430\u0442\u043e\u0440\u0430 \u043f\u0440\u043e\u0435\u043a\u0442\u0430) [A Paper-Matrix as a Realization Form of the Functions of the Net Research Project \u201cEncyclopedia of Flat Curves: We Write by Ourselves\u201d (on the Work of the Moderator)] \/ \u0410. \u042f\u0441\u0442\u0440\u0435\u0431\u043e\u0432, \u0413. \u0410. \u041a\u043b\u0435\u043a\u043e\u0432\u043a\u0438\u043d \/ Alexander Yastrebov, Gennady Klekovkin<br \/>\n146 \u2013 159 \u041a\u043e\u043d\u043a\u0443\u0440\u0435\u043d\u0442\u043d\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u0438, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438 \u043e\u0442 \u043f\u0440\u0430\u0432\u0438\u043b\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u0446\u0438 [Concurrent Perpendiculars, Determined by Regular Polygons] \/ \u0419\u043e\u0430\u043d\u0430 \u0425\u0440\u0438\u0441\u0442\u043e\u0432\u0430, \u0413\u0435\u043d\u043e\u0432\u0435\u0432\u0430 \u041c\u0430\u0440\u0438\u043d\u043e\u0432\u0430, \u041d\u0438\u043a\u043e\u043b\u0430 \u041a\u0443\u0448\u0435\u0432, \u0421\u0432\u0435\u0442\u043e\u0441\u043b\u0430\u0432 \u0410\u043f\u043e\u0441\u0442\u043e\u043b\u043e\u0432, \u0426\u0432\u0435\u0442\u043e\u043c\u0438\u0440 \u0418\u0432\u0430\u043d\u043e\u0432 \/ Yoana Hristova, Genoveva Marinova, Nikola Kushev, Svetoslav Apostolov, Tsvetomir Ivanov<br \/>\n235 \u2013 270 \u0417\u0430 \u0434\u0430\u043d\u043d\u0438\u0442\u0435 \u0438 \u043f\u044a\u0442\u044f \u043a\u044a\u043c \u0433\u043e\u043b\u0435\u043c\u0438\u0442\u0435 \u0434\u0430\u043d\u043d\u0438 [About the Data and the Road Towards the Big Data] \/ \u041f\u0430\u0432\u0435\u043b \u0410\u0437\u044a\u043b\u043e\u0432 \/ Pavel Azalov<br \/>\n271 \u2013 285 \u0421\u044a\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u0438 \u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0438 \u043c\u0435\u0442\u043e\u0434\u0438 \u0437\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435, \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u0449\u0438 \u043e\u0431\u043b\u0430\u0447\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 [Contemporary Means and Teaching Methods, Using Cloud Technologies] \/ \u041b\u044e\u0431\u043a\u0430 \u0421\u043b\u0430\u0432\u043e\u0432\u0430, \u041a\u043e\u0441\u0442\u0430 \u0413\u044a\u0440\u043e\u0432 \/ Lyubka Slavova, Kosta Garov<br \/>\n286 \u2013 290 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u0442\u0438\u0432\u0435\u043d \u0443\u0440\u043e\u043a \u043f\u043e \u043f\u0440\u0435\u0434\u043c\u0435\u0442\u0430 \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0447\u043d\u043e\u0441\u0442\u201c \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u043d\u0430 \u0434\u0438\u0441\u0442\u0430\u043d\u0446\u0438\u043e\u043d\u043d\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 [Integrative Classes on the Subject \u201cMathematical Technology\u201d under Distant Learning Teaching] \/ \u041a\u043e\u0441\u0442\u0430\u0434\u0438\u043d \u041f\u0435\u0442\u043b\u0435\u0448\u043a\u043e\u0432 \/ Kostadin Petleskov<br \/>\n291 \u2013 296 Designing a Professional Training Program for Working with Gifted Children Using Software Office 365 \/ Oleg Zverev, Tatiana Sergeeva<br \/>\n355 \u2013 381 \u0417\u0430 \u0434\u0430\u043d\u043d\u0438\u0442\u0435 \u0438 \u043f\u044a\u0442\u044f \u043a\u044a\u043c \u043d\u0430\u0443\u043a\u0430\u0442\u0430 \u0437\u0430 \u0434\u0430\u043d\u043d\u0438\u0442\u0435 [About the Data and the Road Towards the Data Science] \/ \u041f\u0430\u0432\u0435\u043b \u0410\u0437\u044a\u043b\u043e\u0432 \/ Pavel Azalov<br \/>\n382 \u2013 390 Technologies and Tools for Creating Adaptive E-Learning Content \/ Todorka Terzieva, Valya Arnaudova, Asen Rahnev, Vanya Ivanova<\/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 \/>\n51 \u2013 66 Gender Issues in Virtual Training for Mathematical Kangaroo Contest \/ Mark Applebaum, Erga Heller, Lior Solomovich, Judith Zamir<br \/>\n67 \u2013 77 \u0410\u043d\u0430\u043b\u0438\u0437 \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044f\u043d\u0435\u0442\u043e \u043d\u0430 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 \u043e\u0442 XI \u0438 XII \u043a\u043b\u0430\u0441 \u043d\u0430 XIX \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0442\u0443\u0440\u043d\u0438\u0440 \u201e\u041f\u0435\u0440\u043f\u0435\u0440\u0438\u043a\u043e\u043d\u201c [Analysis of the Problems and the Performance of the 11th and 12th Grade Students in the XIX Mathematical Tournament \u201cPerperikon\u201d] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \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 \/ Sava Grozdev, Rosen Nikolaev, Tanka Milkova<br \/>\n78 \u2013 82 Klamkin\u2018s Inequality and its Application \/ \u0160efket Arslanagi\u0107, Daniela Zubovi\u0107<br \/>\n83 \u2013 94 \u041d\u044f\u043a\u043e\u043b\u043a\u043e \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0432\u044a\u0440\u0442\u044f\u0449\u0430\u0442\u0430 \u0445\u043e\u043c\u043e\u0442\u0435\u0442\u0438\u044f [Some Applications of Spiral Similarity] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Veselin Nenkov<br \/>\n160 \u2013 161 A New Proof of the Feuerbach Theorem \/ Sava Grozdev, Hiroshi Okumura<br \/>\n162 \u2013 166 Problem 3 in the IMO\u20192019 Paper \/ Sava Grozdev, Veselin Nenkov<br \/>\n167 \u2013 178 \u041f\u0440\u0435\u0434\u0438\u0437\u0432\u0438\u043a\u0430\u0442\u0435\u043b\u0441\u0442\u0432\u043e\u0442\u043e \u2013 \u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0430 \u201e\u041e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u0437\u0430 \u0418\u0422 \u043a\u0430\u0440\u0438\u0435\u0440\u0430\u201c [The Challenge \u2013 National Program \u201cTraining in IT Career\u201d] \/ \u041c\u0443\u0445\u0430\u0440\u0435\u043c \u041c\u043e\u043b\u043b\u043e\u0432, \u0413\u0435\u043d\u0447\u043e \u0421\u0442\u043e\u0438\u0446\u043e\u0432 \/ Muharem Mollov, Gencho Stoitsov<br \/>\n179 \u2013 191 \u0418\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u043d\u0438 \u043c\u043e\u0431\u0438\u043b\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0438 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u2013 \u0435\u0434\u043d\u043e \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435 \u0432 \u0422\u0440\u0430\u043a\u0438\u0439\u0441\u043a\u0438\u044f \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 [Using Educational Mobile Technologies and Applications \u2013 A Survey in Trakia University] \/<br \/>\n\u041d\u0430\u0434\u0435\u0436\u0434\u0430 \u0410\u043d\u0433\u0435\u043b\u043e\u0432\u0430 \/ Nadezhda Angelova<br \/>\n192 \u2013201 Impact on Research Visibility Using Structured Data and Social Media Integration \/ Nikolay Kasakliev, Elena Somova, Margarita Gocheva<br \/>\n202 \u2013 217 On Some Randomized Algorithms and their Evaluation \/ Krasimir Yordzhev<br \/>\n297 \u2013 305 Mathematical Modelling in Learning Outcomes Assessment (Binary Model for the Assessment of Student\u2019s Competences Formation) \/ L. E. Khaimina, E. A. Demenkova, M. E. Demenkov, E. S. Khaimin, L. I. Zelenina, I. M. Zashikhina<br \/>\n306 \u2013 312 Problems 2 and 5 on the IMO\u20192019 Paper \/ Sava Grozdev, Veselin Nenkov<br \/>\n313 \u2013 323 \u041a\u043e\u043d\u0444\u0438\u0433\u0443\u0440\u0430\u0446\u0438\u0438 \u043e\u0442 \u043f\u0435\u0434\u0430\u043b\u043d\u0438 \u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442\u0438 \u043d\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u043d\u0430 \u0442\u043e\u0447\u043a\u0430 \u0432 \u0440\u0430\u0432\u043d\u0438\u043d\u0430\u0442\u0430 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u043a [Configurations \u043ef Pedal Circles of an Arbitrary Point in the Plane of a Polygon] \/ \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\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 \/ Veselin Nenkov, Stanislav Stefanov, Haim Haimov<br \/>\n324 \u2013 329 \u041e\u0442\u043d\u043e\u0441\u043d\u043e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0442\u0435 \u0441 \u043a\u043e\u0440\u0435\u043d\u0438 \u0432\u044a\u0432 \u0432\u044a\u0440\u0445\u043e\u0432\u0435\u0442\u0435 \u043d\u0430 \u0435\u0434\u0438\u043d \u043a\u043b\u0430\u0441 \u0438\u0437\u043f\u044a\u043a\u043d\u0430\u043b\u0438 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u0446\u0438 [On the Polynomials with Roots in the Vertices of a Class of Convex Quadrilaterals] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Veselin Nenkov<br \/>\n330 \u2013 332 \u0410\u043d\u0430\u043b\u0438\u0437 \u043d\u0430 \u0430\u043d\u043a\u0435\u0442\u043d\u043e \u043f\u0440\u043e\u0443\u0447\u0432\u0430\u043d\u0435 \u043d\u0430 \u0443\u0447\u0438\u0442\u0435\u043b\u0438 \u043f\u043e \u201e\u0422\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0438 \u043f\u0440\u0435\u0434-\u043f\u0440\u0438\u0435\u043c\u0430\u0447\u0435\u0441\u0442\u0432\u043e\u201c [Analysis of an Inquiry Examination of Teachers in Technologies and \u0415ntrepreneurship] \/ \u041a\u043e\u0441\u0442\u0430\u0434\u0438\u043d \u041f\u0435\u0442\u043b\u0435\u0448\u043a\u043e\u0432 \/ Kostadin Petleskov<br \/>\n391 \u2013 397 Didactic Game \u201cPosssible Cross Sections\u201d \/ Nataliya Pavlova<br \/>\n398 \u2013 430 \u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u043e \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u0435 \u043f\u043e \u0444\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u0430 \u0433\u0440\u0430\u043c\u043e\u0442\u043d\u043e\u0441\u0442 [National Competition in Financial Literacy] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Veselin Nenkov<br \/>\n431 \u2013 440 \u041f\u043e\u043b\u0438\u043d\u043e\u043c\u0438 \u0441 \u043a\u043e\u0440\u0435\u043d\u0438 \u0432 \u0447\u0435\u0442\u0438\u0440\u0438 \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u043d\u043e \u0440\u0430\u0437\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438 \u043a\u043e\u043b\u0438\u043d\u0435\u0430\u0440\u043d\u0438 \u0442\u043e\u0447\u043a\u0438 [Polynomials with Roots in Four Specially Located Collinear Points] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Veselin Nenkov<br \/>\n441 \u2013 452 \u0421\u043f\u0443\u0442\u043d\u0438\u043a\u043e\u0432\u044b\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043a\u0430\u043a \u0430\u043d\u0438\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u043e-\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043c\u043e\u0434\u0435\u043b\u0438 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u043e\u0432 [Satellite Systems as Animation-Geometric Polynomial Models] \/ \u0421\u0435\u0440\u0433\u0435\u0439 \u041b\u0430\u0440\u0438\u043d \/ Sergey Larin<br \/>\n471 \u2013 483 Gamification in Cloud-Based Collaborative Learning \/ Denitza Charkova, Elena Somova, Maria Gachkova<br \/>\n484 \u2013 500 Neural Networks in a Character Recognition Mobile Application \/ L.I. Zelenina, L.E. Khaimina, E.S. Khaimin, D.I. Antufiev, I.M. Zashikhina<br \/>\n501 \u2013 507 Applications of Anaglific Images in Mathematical Training \/ Krasimir Harizanov, Stanislava Ivanova<br \/>\n575 \u2013 589 \u041e\u0442\u0447\u0435\u0442\u043d\u043e\u0441\u0442 \u043d\u0430 \u043f\u0443\u0431\u043b\u0438\u043a\u0430\u0446\u0438\u043e\u043d\u043d\u0430\u0442\u0430 \u0434\u0435\u0439\u043d\u043e\u0441\u0442 \u0441 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 Microsoft Office Access \u043f\u043e \u043e\u043f\u0438\u0442\u0430 \u043d\u0430 \u0432\u0438\u0441\u0448\u0435\u0442\u043e \u0432\u043e\u0435\u043d\u043d\u043e\u043c\u043e\u0440\u0441\u043a\u043e \u0443\u0447\u0438\u043b\u0438\u0449\u0435 \u201e\u041d\u0438\u043a\u043e\u043b\u0430 \u0419. \u0412\u0430\u043f\u0446\u0430\u0440\u043e\u0432\u201c [Publication Reporting Using Microsoft Office Access Based on Nikola Vaptsarov Naval Academy\u2019s Experience] \/<br \/>\n\u0410\u0441\u0435\u043d \u041a\u043e\u0436\u0443\u0445\u0430\u0440\u043e\u0432, \u0421\u0442\u043e\u044f\u043d \u041c\u0435\u0447\u0435\u0432 \/ Asen Kozhukharov, Stoyan Mechev<br \/>\n590 \u2013 600 Practice-Oriented Tasks for Schools: Methodology for Future Mathematics Teachers \/ Marina Egupova<br \/>\n601 \u2013 607 G Suite For Education \u2013 the Challenge that Has Become a Reality in a Bulgarian School \/ Muharem Mollov, Gencho Stoitsov<\/p>\n<p><strong>IN MEMORIAM<\/strong><br \/>\n658 \u2013 659 \u0412 \u043f\u0430\u043c\u0435\u0442 \u043d\u0430 \u041d\u0438\u043a\u043e\u043b\u0430\u0439 \u0425\u0440\u0438\u0441\u0442\u043e\u0432\u0438\u0447 \u0420\u043e\u0437\u043e\u0432 [In Memory of Prof. Nikolay Rozov, DSc.]<\/p>\n<p><strong>REVIEWS AND ANNOTATIONS \/ \u0420\u0415\u0426\u0415\u041d\u0417\u0418\u0418 \u0418 \u0410\u041d\u041e\u0422\u0410\u0426\u0418\u0418<\/strong><br \/>\n333 \u2013 334 \u041f\u043e\u0432\u0438\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0446\u0438\u0438 \u0441 \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u043d\u0430 \u0433\u0435\u043e\u043c\u0435\u0442-\u0440\u0438\u044f [Mathematical Competence Increase through Dynamic Geometry] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432 \/ Sava Grozdev<br \/>\n335 \u2013 337 \u0420\u0435\u0444\u043b\u0435\u043a\u0441\u0438\u0432\u0435\u043d \u043c\u043e\u0434\u0435\u043b \u0437\u0430 \u043f\u0440\u0435\u043f\u043e\u0434\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u043a\u043e\u043c\u043f\u044e\u0442\u044a\u0440\u043d\u043e \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u0430\u043d\u0435 \u0432 \u043d\u0430\u0447\u0430\u043b\u043d\u0438\u044f \u0435\u0442\u0430\u043f \u043d\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 [Reflective Model for Teaching Computer Modeling in Primary Stage of Education] \/ \u042e\u043b\u0438\u044f \u0414\u043e\u043d\u0447\u0435\u0432\u0430 \/ Julia Doncheva<\/p>","protected":false},"excerpt":{"rendered":"<p>\u0413\u043e\u0434\u0438\u0448\u043d\u043e \u0441\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u043d\u0430 \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, 2020 \u0433. 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