{"id":42282,"date":"2017-12-15T10:39:54","date_gmt":"2017-12-15T07:39:54","guid":{"rendered":"https:\/\/new.azbuki.bg\/matematics\/matharticles2016-2\/2017-6\/"},"modified":"2019-06-13T20:18:04","modified_gmt":"2019-06-13T17:18:04","slug":"2017-6","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/matematics\/matharticles2016-2\/2017-6\/","title":{"rendered":"Annual contents of Mathematics and Informatics, 2017"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>Annual contents of Mathematics and Informatics, 2017<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u041a\u0410 \u0418 \u0418\u041d\u0424\u041e\u0420\u041c\u0410\u0422\u0418\u041a\u0410<\/strong><br \/><strong>\u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u041e \u0421\u041f\u0418\u0421\u0410\u041d\u0418\u0415<\/strong><br \/><strong>MATHEMATICS AND INFORMATICS<\/strong><br \/><strong>JOURNAL OF EDUCATIONAL RESEARCH<\/strong><\/p>\n<p><strong>PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418<\/strong><br \/>Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1: 1 \u2013 104<br \/>Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2: 105 \u2013 224<br \/>Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3: 225 \u2013 328<br \/>Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4: 329 \u2013 432<br \/>Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5: 433 \u2013 536<br \/>Number 6 \/ \u041a\u043d\u0438\u0436\u043a\u0430 6: 537 \u2013 656<\/p>\n<p>\u00a0<\/p>\n<p>7 \u2013 10 Editorial \/ \u041a\u044a\u043c \u0447\u0438\u0442\u0430\u0442\u0435\u043b\u044f<\/p>\n<p>\u00a0<\/p>\n<p><strong>CONTEST PROBLEMS \/ \u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 \u0417\u0410\u0414\u0410\u0427\u0418<\/strong><br \/>94 \u2013 95 \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 \/>96 \u2013 98 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 2, 2016 [Solutions of the Contest Problems from Issue 2, 2016]<br \/>214 \u2013 215 \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 \/>215 \u2013 217 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 3, 2016 [Solutions of the Contest Problems from Issue 3, 2016]<br \/>317 \u2013 318 \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 \/>319 \u2013 321 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 4, 2016 [Solutions of the Contest Problems from Issue 4, 2016]<br \/>420 \u2013 421 \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 \/>422 \u2013 425 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 5, 2016 [Solutions of the Contest Problems from Issue 5, 2016]<br \/>521 \u2013 522 \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 \/>523 \u2013 529 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 6, 2016 [Solutions of the Contest Problems from Issue 6, 2016]<br \/>641 \u2013 641 \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 \/>642 &#8211; 644 \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u0431\u0440\u043e\u0439 1, 2017 [Solutions of the Contest Problems from Issue 1, 2017]<\/p>\n<p><strong>EDUCATIONAL RESEARCH \/ \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 \/>11 \u2013 16 \u0420\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u043d\u0430 \u043c\u0435\u0442\u043e\u0434\u0438\u043a\u0430\u0442\u0430 \u043d\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [Development of the Didactics of Mathematics] \/ \u041f\u0435\u0442\u044a\u0440 \u041f\u0435\u0442\u0440\u043e\u0432 \/ Petar Petrov<br \/>17 \u2013 49 \u0417\u0430\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u041f\u043e\u0430\u0441\u043e\u043d \u0438 \u043c\u0435\u0442\u043e\u0434\u044a\u0442 \u043d\u0430 \u041f\u0435\u0440\u0435\u043b\u043c\u0430\u043d \u0437\u0430 \u0442\u044f\u0445\u043d\u043e\u0442\u043e \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u0438 \u0438\u0437\u0441\u043b\u0435\u0434\u0432\u0430\u043d\u0435 [Poisson\u2032s Amusing Problems and Perelman\u2032s Method for their Solution and Study] \/ \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 \/ Zdravko Lalchev, Margarita Varbanova, Miroslav Stoimirov<br \/>50 \u2013 56 \u0412\u0435\u043a\u0442\u043e\u0440\u043d\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u0446\u0430 \u043d\u0430 \u0441\u0442\u0435\u043d\u0438 \u0438 \u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0432 \u043d\u044f\u043a\u043e\u0438 \u043c\u043d\u043e\u0433\u043e\u0441\u0442\u0435\u043d\u0438 [Vector Product and Relations Between Side and Section Areas of Some Polyhedra] \/ \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 \/>57 \u2013 63 \u041f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u043d\u0438 \u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0442\u0440\u0430\u043d\u0441\u0446\u0435\u043d\u0434\u0435\u043d\u0442\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f (I \u0447\u0430\u0441\u0442) [Exponential and Trigonometric Functions in Transcendental Equations (Part I)] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<br \/>111 \u2013 122 NDM-Philosophy of Education in the 21st Century [NDM \u0444\u0438\u043b\u043e\u0441\u043e\u0444\u0438\u044f\u0442\u0430 \u043d\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e \u0432 \u0425\u0425I \u0432\u0435\u043a] \/ Marga Georgieva, Sava Grozdev<br \/>123 \u2013 148 \u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0430\u0442\u0430 \u0433\u0440\u0430\u043c\u043e\u0442\u043d\u043e\u0441\u0442 \u2013 \u0441\u044a\u0449\u043d\u043e\u0441\u0442, \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u0438 \u0432\u044a\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0437\u0430 \u043f\u043e\u0432\u0438\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0430\u0442\u0430 \u0433\u0440\u0430\u043c\u043e\u0442\u043d\u043e\u0441\u0442 \u0447\u0440\u0435\u0437 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0432 \u0443\u0447\u0438\u043b\u0438\u0449\u0435 [Information Literacy \u2013 Nature, Problems and Opportunities for Improving Information Literacy Through the Use of Information Technology in School] \/ \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u0414\u0437\u0438\u0432\u0435\u0432 \/ Vesselin Dzivev<br \/>149 \u2013 156 \u0418\u0437\u043a\u0443\u0441\u0442\u0432\u0435\u043d\u0430 \u0438\u043c\u0443\u043d\u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430 [Artificial Immune System] \/ \u0419\u043e\u0430\u043d\u043d\u0430 \u0418\u043b\u0438\u0435\u0432\u0430, \u0421\u0435\u043b\u0438\u043d \u0428\u0435\u043c\u0441\u0438\u0435\u0432\u0430, \u0421\u0432\u0435\u0442\u043b\u0430\u043d\u0430 \u0412\u044a\u043b\u0447\u0435\u0432\u0430, \u0421\u044e\u0437\u0430\u043d \u0424\u0435\u0438\u043c\u043e\u0432\u0430 \/ Joanna Ilieva, student, Selin Shemsieva, Svetlana Valcheva, student, Suzan Feimova<br \/>157 \u2013 173 \u041d\u044f\u043a\u043e\u0438 \u0438\u0434\u0435\u0438 \u0437\u0430 \u043f\u0440\u043e\u043f\u0435\u0434\u0435\u0432\u0442\u0438\u043a\u0430 \u043d\u0430 \u043f\u043e\u043d\u044f\u0442\u0438\u0435\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432 \u043d\u0430\u0447\u0430\u043b\u043d\u0438\u0442\u0435 \u043a\u043b\u0430\u0441\u043e\u0432\u0435 [Some Ideas for Propaedeutics of the Concept of Function in Primary School] \/ \u041a\u0430\u0442\u0438\u043d\u0430 \u0422\u043e\u043d\u0447\u0435\u0432\u0430, \u041c\u0430\u0440\u0433\u0430\u0440\u0438\u0442\u0430 \u0412\u044a\u0440\u0431\u0430\u043d\u043e\u0432\u0430 \/ Katina Toncheva, Margarita Varbanova<br \/>231 \u2013 242 \u0412\u044a\u0440\u0445\u0443 \u0435\u0434\u0438\u043d \u043c\u043e\u0434\u0435\u043b \u043d\u0430 \u0434\u043e\u043c\u0430\u0448\u043d\u0430 \u0440\u0430\u0431\u043e\u0442\u0430 \u0432 \u043a\u043e\u043d\u0442\u0435\u043a\u0441\u0442\u0430 \u043d\u0430 \u0441\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u043d\u0430\u0442\u0430 \u0440\u0430\u0431\u043e\u0442\u0430 \u0432 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [On a Model of the Homework in the Context of Self-Preparation in Mathematics Education] \/ \u041c\u0430\u0440\u0433\u0430 \u0413\u0435\u043e\u0440\u0433\u0438\u0435\u0432\u0430, \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Marga Georgieva, Diana Stefanova<br \/>243 \u2013 251 \u041d\u044f\u043a\u043e\u043b\u043a\u043e \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430 \u0442\u0435\u043e\u0440\u0435\u043c\u0430\u0442\u0430 \u043d\u0430 \u041c\u0435\u043d\u0435\u043b\u0430\u0439 \u0437\u0430 \u0432\u043f\u0438\u0441\u0430\u043d\u0438 \u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442\u0438 [Some Applications of Menelaus Theorem to Inscribed Circles] \/ \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u0430 \u0419\u043e\u0432\u043a\u043e\u0432\u0430, \u0418\u0440\u0438\u043d\u0430 \u0425\u0440\u0438\u0441\u0442\u043e\u0432\u0430, \u041b\u0438\u043b\u0438 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Alexandra Yovkova, Irina Hristova, Lilly Stefanova<br \/>335 \u2013 343 \u0417\u0430 \u0434\u043d\u0435\u0432\u043d\u0438\u044f \u0440\u0435\u0434 \u0432 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e [For the Agenda in the Education] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432 \/ Sava Grozdev<br \/>344 \u2013 350 \u0413\u0435\u043d\u0435\u0440\u0430\u0442\u043e\u0440 \u043d\u0430 \u0442\u0435\u0441\u0442\u043e\u0432\u0435 [Test Generator] \/ \u0410\u043d\u0433\u0435\u043b \u0410\u043d\u0433\u0435\u043b\u043e\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u0414\u0437\u0438\u0432\u0435\u0432 \/ Angel Angelov, Vesselin Dzivev<br \/>439 \u2013 449 \u0418\u043d\u0442\u0435\u0433\u0440\u0430\u0442\u0438\u0432\u043d\u0438 \u0432\u0440\u044a\u0437\u043a\u0438 \u0432 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u043d\u0438\u044f \u043f\u043e\u0434\u0445\u043e\u0434 \u0432 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\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\u0438 [Information Integrative Relationships in the Competent Approach in Mathematics Technology Training] \/ \u041a\u043e\u0441\u0442\u0430 \u0413\u044a\u0440\u043e\u0432, \u0421\u0435\u0432\u0434\u0430\u043b\u0438\u043d\u0430 \u0413\u0435\u043e\u0440\u0433\u0438\u0435\u0432\u0430, \u0415\u043b\u0435\u043d\u0430 \u041a\u043e\u0432\u0430\u0447\u0435\u0432\u0430, \u0410\u043d\u0433\u0435\u043b \u0410\u043d\u0433\u0435\u043b\u043e\u0432 \/ Kosta Garov, Sevdalina Georgieva, Elena Kovacheva, Angel Angelov<br \/>450 \u2013 456 \u041d\u044f\u043a\u043e\u0438 \u043d\u0430\u0447\u0438\u043d\u0438 \u0437\u0430 \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u0430\u043b\u0433\u0435\u0431\u0440\u0438\u0447\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [Some Ways in Solving Algebraic Problems] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<br \/>457 \u2013 465 \u0412\u0442\u043e\u0440\u043e\u0439 \u043c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u044b\u0439 \u0441\u0435\u0442\u0435\u0432\u043e\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u043f\u0440\u043e\u0435\u043a\u0442 \u0443\u0447\u0430\u0449\u0438\u0445\u0441\u044f \u0432 \u0440\u0430\u043c\u043a\u0430\u0445 MITE [Second International Net Research Student Project in the Frames of MITE] \/ \u041c\u0430\u0440\u0438\u044f \u0428\u0430\u0431\u0430\u043d\u043e\u0432\u0430, \u041c\u0430\u0440\u0438\u043d\u0430 \u0411\u0435\u043b\u043e\u0440\u0443\u043a\u043e\u0432\u0430, \u0420\u043e\u0437\u0430 \u0410\u0442\u0430\u043c\u0443\u0440\u0430\u0442\u043e\u0432\u0430, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Maria Shabanova, Marina Belorukova, Roza Atamuratova, Veselin Nenkov<br \/>466 \u2013 473 \u0414\u0438\u0434\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u0446\u0435\u043d\u0430\u0440\u0438\u0439 \u0432\u044a\u0440\u0445\u0443 \u0435\u0434\u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0430 \u043e\u0442 XXI \u043c\u043b\u0430\u0434\u0435\u0436\u043a\u0430 \u0431\u0430\u043b\u043a\u0430\u043d\u0441\u043a\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u0430 [Didactic Scenario on a Problem from the 21st Junior Balkan Mathematical Olympiad] \/ \u0411\u043e\u0440\u0438\u0441\u043b\u0430\u0432 \u041b\u0430\u0437\u0430\u0440\u043e\u0432 \/ <br \/>Borislav Lazarov<br \/>543 \u2013 550 A Survey of Mathematics Discovered by Computers. Part 2. \/ Sava Grozdev, Hiroshi Okumura, Deko Dekov<br \/>551 \u2013 564 \u0422\u0440\u0438 \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b \u0432 \u043e\u0434\u043d\u0443 \u0437\u0430\u0434\u0430\u0447\u0443 [Three Invariants in One Problem] \/ \u041a\u0441\u0435\u043d\u0438\u044f \u0413\u043e\u0440\u0441\u043a\u0430\u044f, \u0414\u0430\u0440\u044c\u044f \u041a\u043e\u043f\u0442\u0435\u0432\u0430, \u0410\u0441\u0445\u0430\u0442 \u0415\u0440\u043c\u0435\u043a\u0431\u0430\u0435\u0432, \u0410\u0440\u043c\u0430\u043d \u0416\u0435\u0442\u0438\u0440\u0443, \u0410\u0437\u0430\u0442 \u0411\u0435\u0440\u043c\u0443\u0445\u0430\u043c\u0435\u0434\u043e\u0432, \u0421\u0430\u043b\u0442\u0430\u043d\u0430\u0442 \u041a\u043e\u0448\u0435\u0440, \u041b\u0438\u043b\u0438 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430, \u0418\u0440\u0438\u043d\u0430 \u0425\u0440\u0438\u0441\u0442\u043e\u0432\u0430, \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u0430 \u0419\u043e\u0432\u043a\u043e\u0432\u0430 \/ Kseniya Gorskaya, Daria Kopteva, Ashat Ermekbaev, Arman Zhetiru, Azat Bermuhamedov, Saltanat Kosher, Lilly Stefanova, Irina Hristova, Alexandra Yovkova<br \/>565 \u2013 576 Games with Modified Dice \/ Aldiyar Zhumashov<\/p>\n<p>\u00a0<\/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 \/>64 \u2013 80 \u041e\u0439\u043b\u0435\u0440\u043e\u0432\u0430 \u043f\u0440\u0430\u0432\u0430 \u0438 \u041e\u0439\u043b\u0435\u0440\u043e\u0432\u0430 \u043a\u0440\u0438\u0432\u0430 \u043d\u0430 \u0432\u043f\u0438\u0441\u0430\u043d \u043c\u043d\u043e\u0433\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u043a \u0432 \u043a\u043e\u043d\u0438\u0447\u043d\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u0435 [An Inscribed Polygon in a Conic] \/ \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432, \u0414\u0430\u043d\u0438\u0435\u043b \u0410\u043d\u0433\u0435\u043b\u043e\u0432 \/ Veselin Nenkov, Daniel Angelov<br \/>81 \u2013 93 \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f \u043d\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a\u0430, \u0442\u043e\u0447\u043a\u0430 \u043d\u0430 \u041c\u0438\u043a\u0435\u043b, \u0438\u043d\u0432\u0435\u0440\u0441\u043d\u0430 \u0438\u0437\u043e\u0433\u043e\u043d\u0430\u043b\u043d\u043e\u0441\u0442 [Geometry of the Quadrilateral, Miquel Point, Inversion] \/ \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 \/>174 \u2013 180 \u0427\u0435\u0442\u0438\u0440\u0438\u043d\u0430\u0434\u0435\u0441\u0435\u0442\u0430 \u043c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u0430 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u0430 \u043f\u043e \u043b\u0438\u043d\u0433\u0432\u0438\u0441\u0442\u0438\u043a\u0430 [Fourteenth International Linguistics Olympiads] \/ \u0418\u0432\u0430\u043d \u0414\u0435\u0440\u0436\u0430\u043d\u0441\u043a\u0438 \/ Ivan Derzhanski<br \/>181 \u2013 201 \u0412\u0435\u0442\u0440\u0438\u043b\u0430 \u043e\u0442 \u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442\u0438 \u0432\u044a\u0432 \u0432\u043f\u0438\u0441\u0430\u043d\u0438 \u043c\u043d\u043e\u0433\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u0446\u0438 [Fans of Circles in Inscribed Polygons] \/ \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 \/>202 \u2013 206 \u0411\u0435\u043b\u0435\u0436\u043a\u0430 \u0432\u044a\u0440\u0445\u0443 \u0442\u0435\u043e\u0440\u0435\u043c\u0430\u0442\u0430 \u0437\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u043d\u0438\u0442\u0435 \u0441\u0440\u0435\u0434\u043d\u0438 \u0438 \u043e\u0431\u0443\u0447\u0430\u0432\u0430\u0449\u0438\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440 \u043d\u0430 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u0438\u0442\u0435 [A Note On the Theorem of the Power Averages and the Educational Character of the Olympiads] \/ \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 \/>207 \u2013 213 \u0412\u0442\u043e\u0440\u0438 \u043a\u043e\u043b\u0435\u0434\u0435\u043d \u043b\u0438\u043d\u0433\u0432\u0438\u0441\u0442\u0438\u0447\u0435\u043d \u0442\u0443\u0440\u043d\u0438\u0440 [Second Christmas Linguistics Tournament] \/ \u0418\u0432\u0430\u043d \u0414\u0435\u0440\u0436\u0430\u043d\u0441\u043a\u0438, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u0417\u043b\u0430\u0442\u0438\u043b\u043e\u0432 \/ Ivan Derzhanski, Veselin Zlatilov<br \/>252 \u2013 261 \u0412\u0442\u043e\u0440\u0438 \u043f\u0441\u0435\u0432\u0434\u043e\u0446\u0435\u043d\u0442\u044a\u0440 \u043d\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a\u0430 [Second Pseudocenter of the Quadrilateral] \/ \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432 \/ Stanislav Stefanov<br \/>262 \u2013 273 \u041d\u044f\u043a\u043e\u043b\u043a\u043e \u0437\u0430\u0434\u0430\u0447\u0438 \u0437\u0430 \u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442\u0438, \u0434\u043e\u043f\u0438\u0440\u0430\u0449\u0438 \u0441\u0435 \u0434\u043e \u043a\u043e\u043d\u0438\u0447\u043d\u0438 \u0441\u0435\u0447\u0435\u043d\u0438\u044f [Several Problems for Circles Tangent to Conics] \/ \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 \/>274 \u2013 284 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0435\u0434\u0438\u043d \u043d\u043e\u0432 \u043f\u043e\u0434\u0445\u043e\u0434 \u043f\u0440\u0438 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u0430\u043d\u0435 \u043d\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u0435\u043d \u0441\u043e\u0444\u0442\u0443\u0435\u0440 [Application of a New Approach to Educational Software Modeling] \/ \u041c\u0438\u043b\u0435\u043d \u0417\u0430\u043c\u0444\u0438\u0440\u043e\u0432 \/ Milen Zamfirov<br \/>285 \u2013 290 \u041e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u043d\u0438 \u043f\u043b\u0430\u0442\u0444\u043e\u0440\u043c\u0438 \u0432 \u043e\u0440\u0433\u0430\u043d\u0438\u0437\u0430\u0446\u0438\u044f\u0442\u0430 \u043d\u0430 \u043f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438 \u043d\u0430 \u0431\u044a\u0434e\u0449\u0438\u0442\u0435 \u0443\u0447\u0438\u0442\u0435\u043b\u0438 [\u0415ducational Platforms in the Organization of Pedgogical Practice for Future Teachers] \/ \u041a\u0440\u0430\u0441\u0438\u043c\u0438\u0440 \u0425\u0430\u0440\u0438\u0437\u0430\u043d\u043e\u0432, \u041d\u0430\u0442\u0430\u043b\u0438\u044f \u041f\u0430\u0432\u043b\u043e\u0432\u0430 \/ Krasimir Harizanov, Natalia Pavlova<br \/>291 \u2013 294 \u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0441\u043a\u0430 \u043e\u043b\u0438\u043c\u043f\u0438\u0430\u0434\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [National Mathematical Olympiad for University Students] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, \u0420\u043e\u0441\u0435\u043d \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432, \u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Rosen Nikolaev, Veselin Nenkov<br \/>295 \u2013 298 \u0411\u0435\u043b\u0435\u0436\u043a\u0430 \u0432\u044a\u0440\u0445\u0443 \u0435\u0434\u043d\u0430 \u043e\u0442 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u0437\u0430 VII \u043a\u043b\u0430\u0441 \u2013 22 \u043c\u0430\u0439 2017 \u0433. [A Note on One of the Problems for 7th Grade \u2013 May 22, 2017] \/ \u0421\u0430\u0432\u0430 \u0413\u0440\u043e\u0437\u0434\u0435\u0432, <br \/>\u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432 \/ Sava Grozdev, Veselin Nenkov<br \/>299 \u2013 307 \u0413\u0435\u043d\u043d\u0430\u0434\u0438\u0439 \u041b\u0443\u043a\u0430\u043d\u043a\u0438\u043d: \u0441\u043a\u0440\u043e\u043c\u043d\u044b\u0439 \u043f\u043e\u0440\u0442\u0440\u0435\u0442 \u0432 \u0438\u043d\u0442\u0435\u0440\u044c\u0435\u0440\u0435 \u044d\u043f\u043e\u0445\u0438 (\u043a 80-\u043b\u0435\u0442\u0438\u044e \u0441\u043e \u0434\u043d\u044f \u0440\u043e\u0436\u0434\u0435\u043d\u0438\u044f) [Genadii Lukankin: a Modest Picture in the Interior of the Epoch (on Occasion of the 80-Anniversary)] \/ \u0411\u043e\u0440\u0438\u0441 \u0422\u0435\u0431\u0438\u0435\u0432, \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u041b\u0443\u043a\u0430\u043d\u043a\u0438\u043d \/ Boris Tebiev, Alexander Lukankin<br \/>308 \u2013 316 \u0421\u043f\u043e\u043c\u0435\u043d \u0437\u0430 \u043f\u0440\u043e\u0444\u0435\u0441\u043e\u0440 \u0410\u043d\u0442\u043e\u043d \u0428\u043e\u0443\u0440\u0435\u043a [A Memory of Professor Anton Shourek] \/ \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u0430 \u0422\u0440\u0438\u0444\u043e\u043d\u043e\u0432\u0430 \/ Aleksandra Trifonova<br \/>351 \u2013 362 \u041b\u043e\u0433\u0430\u0440\u0438\u0442\u043c\u0438\u0447\u043d\u0438 \u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0442\u0440\u0430\u043d\u0441\u0446\u0435\u043d\u0434\u0435\u043d\u0442\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f (II \u0447\u0430\u0441\u0442) [Logarithmic and Trigonometric Functions in Transcendental Equations (part II)] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<br \/>363 \u2013 369 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0432\u0440\u044a\u0437\u043a\u0430\u0442\u0430 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u043e \u0430\u0440\u0438\u0442\u043c\u0435\u0442\u0438\u0447\u043d\u043e \u0438 \u0441\u0440\u0435\u0434\u043d\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e \u0437\u0430 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u043d\u043e \u0434\u043e\u043a\u0430\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u043d\u044f\u043a\u043e\u0438 \u043d\u0435\u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 [An Application of the Relation Between Arithmetic Mean and Geometric Mean for Rational Proving Some Inequalities] \/ \u0420\u0430\u0434\u0430\u043d \u041c\u0438\u0440\u044f\u043d\u043e\u0432, \u0419\u043e\u0440\u0434\u0430\u043d \u041f\u0435\u0442\u043a\u043e\u0432 \/ Radan Miryanov, Jordan Petkov<br \/>370 \u2013 376 \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u043d\u0435 \u0431\u0440\u043e\u044f \u043d\u0430 \u043a\u043e\u0440\u0435\u043d\u0438\u0442\u0435 \u043d\u0430 \u0435\u0434\u0438\u043d \u043a\u043b\u0430\u0441 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u0430\u043b\u0433\u0435\u0431-\u0440\u0438\u0447\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043e\u0442 \u0442\u0440\u0435\u0442\u0430 \u0441\u0442\u0435\u043f\u0435\u043d [Determining the Number of the Roots of a Class of Third Order Parametric Algebraic Equations ] \/ \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 \/>377 \u2013 381 Interesting Proofs of Some Algebraic Inequalities \/ \u0160efket Arslanagi\u0107, Faruk Zejnulahi<br \/>382 \u2013 390 Problems on the Brocard Circle \/ Sava Grozdev, Hiroshi Okumura, Deko Dekov<br \/>391 \u2013 400 \u041d\u044f\u043a\u043e\u043b\u043a\u043e \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0438, \u043f\u043e\u0440\u043e\u0434\u0435\u043d\u0438 \u043e\u0442 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0430 \u0437\u0430 \u0434\u0443\u0430\u043b\u043d\u043e\u0441\u0442 [Some Constructions, Generated by the Duality Principle] \/ \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 \/>401 \u2013 409 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u0442\u0430 \u0430\u043b\u0433\u0435\u0431\u0440\u0430 \u0432 \u0438\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0430\u0442\u0430 [Application of Linear Algebra in Economics] \/ \u0412\u0435\u043b\u0438\u043a\u0430 \u041a\u0443\u043d\u0435\u0432\u0430, \u0417\u0430\u0445\u0430\u0440\u0438\u043d\u043a\u0430 \u0410\u043d\u0433\u0435\u043b\u043e\u0432\u0430 \/ Velika Kuneva, Zaharinka Angelova<br \/>410 \u2013 419 \u0421\u043a\u043e\u0440\u043e\u0441\u0442\u0442\u0430 \u043d\u0430 \u0441\u0432\u0435\u0442\u043b\u0438\u043d\u0430\u0442\u0430 [The Speed of Light] \/ \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 \/>474 \u2013 480 Some Numerical Sequences Concerning Square Roots (Part One) [\u0427\u0438\u0441\u043b\u043e\u0432\u0438 \u0440\u0435\u0434\u0438\u0446\u0438, \u0441\u0432\u044a\u0440\u0437\u0430\u043d\u0438 \u0441 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u0438 \u043a\u043e\u0440\u0435\u043d\u0438 (\u043f\u044a\u0440\u0432\u0430 \u0447\u0430\u0441\u0442)] \/ Rosen Nikolaev, Tanka Milkova, Yordan Petkov<br \/>481 \u2013 500 \u0414\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0441\u0442\u0432\u0430 \u0438 \u0443\u0442\u043e\u0447\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0435\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430\u043b\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u0442\u0435 \u0442\u0432\u044a\u0440\u0434\u0435\u043d\u0438\u044f \u0447\u0440\u0435\u0437 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0430 \u0437\u0430 \u0434\u0443\u0430\u043b\u043d\u043e\u0441\u0442 [Proofs and Specifications of Experimentally Derived Assertions by the Duality Principle] \/ \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 \/>501 \u2013 514 Erd\u00f6s\u2019 Distinct Distances Problem [\u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044a\u0442 \u043d\u0430 \u0415\u0440\u0434\u044c\u043e\u0448 \u0437\u0430 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438\u0442\u0435 \u0440\u0430\u0437\u0441\u0442\u043e\u044f\u043d\u0438\u044f] \/ Houssam Zenati<br \/>515 \u2013 520 Optimizing the Positioning of Serving Units in Tourism Business [\u041e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u044f \u043d\u0430 \u043f\u043e\u0437\u0438\u0446\u0438\u043e\u043d\u0438\u0440\u0430\u043d\u0435\u0442\u043e \u043d\u0430 \u043e\u0431\u0441\u043b\u0443\u0436\u0432\u0430\u0449\u0438 \u0435\u0434\u0438\u043d\u0438\u0446\u0438 \u0432 \u0442\u0443\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u044f \u0431\u0438\u0437\u043d\u0435\u0441] \/ Radan Miryanov, Velina Yordanova<br \/>577 \u2013 600 \u0415\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u0438 \u0442\u043e\u0447\u043a\u043e\u0432\u0438 \u043a\u043e\u043d\u0444\u0438\u0433\u0443\u0440\u0430\u0446\u0438\u0438. \u0414\u0438\u0430\u0433\u043e\u043d\u0430\u043b\u0435\u043d \u043f\u0440\u0438\u043d\u0446\u0438\u043f. \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0438 [Basic Configurations of Points. Diagonal Principle. Invariants] \/ \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 \/>601 \u2013 615 \u041b\u043e\u0433\u0430\u0440\u0438\u0442\u043c\u0438\u0447\u043d\u0438 \u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u043d\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0442\u0440\u0430\u043d\u0441\u0446\u0435\u043d\u0434\u0435\u043d\u0442\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f (III \u0447\u0430\u0441\u0442) [Logarithmic and Exponential Functions in Transcendental Equations (Part III)] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<br \/>616 \u2013 625 Some Numerical Sequences Concerning Square Roots (Part Two) \/ Rosen Nikolaev, Tanka Milkova, Yordan Petkov<br \/>626 \u2013 640 \u0417\u0430\u043d\u0438\u043c\u0430\u0442\u0435\u043b\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043f\u043e \u0442\u0435\u043c\u0430\u0442\u0430 \u201e\u041a\u0430\u0440\u0442\u0438\u043d\u043d\u0430 \u0433\u0430\u043b\u0435\u0440\u0438\u044f\u201c [Entertaining Problems on the Topic \u201ePicture Gallery\u201c] \/ \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 \/ Miroslav Stoimirov, Irina Voutova<\/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, 2017 \u0433. \u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u041a\u0410 \u0418 \u0418\u041d\u0424\u041e\u0420\u041c\u0410\u0422\u0418\u041a\u0410\u041d\u0410\u0423\u0427\u041d\u041e-\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u041e \u0421\u041f\u0418\u0421\u0410\u041d\u0418\u0415MATHEMATICS AND INFORMATICSJOURNAL OF EDUCATIONAL RESEARCH PAGES \/ \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418Number 1 \/ \u041a\u043d\u0438\u0436\u043a\u0430 1: 1 \u2013 104Number 2 \/ \u041a\u043d\u0438\u0436\u043a\u0430 2: 105 \u2013 224Number 3 \/ \u041a\u043d\u0438\u0436\u043a\u0430 3: 225 \u2013 328Number 4 \/ \u041a\u043d\u0438\u0436\u043a\u0430 4: 329 \u2013 432Number 5 \/ \u041a\u043d\u0438\u0436\u043a\u0430 5: 433 \u2013 [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[3486],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - 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