{"id":40388,"date":"2015-12-10T16:34:00","date_gmt":"2015-12-10T13:34:00","guid":{"rendered":"https:\/\/new.azbuki.bg\/matematics\/mathinfo2015\/"},"modified":"2023-08-25T16:45:43","modified_gmt":"2023-08-25T13:45:43","slug":"mathinfo2015","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/matematics\/mathinfo2015\/","title":{"rendered":"Annual contents of Mathematics and Informatics, 2015"},"content":{"rendered":"<p class=\"p1\" 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 \/MATHEMATICS AND INFORMATICS<\/strong><\/p>\n<p class=\"p1\" style=\"text-align: center;\"><strong>BULGARIAN EDUCATIONAL JOURNAL<\/strong><\/p>\n<p class=\"p1\" style=\"text-align: center;\"><strong><span style=\"text-align: center;\">\u0413\u041e\u0414\u0418\u041d\u0410 LV<strong style=\"text-align: center;\"><span>I<\/span><\/strong><strong style=\"text-align: center;\"><span>I<\/span><\/strong> \/ VOLUME 58, 2015<\/span><\/strong><\/p>\n<p class=\"p1\" style=\"margin: 0cm 0cm 0.0001pt; vertical-align: baseline; background-image: initial; background-attachment: initial; background-position: initial; background-repeat: initial;\"><strong><span style=\"color: #222222;\"><\/span><\/strong><\/p>\n<p class=\"p1\" style=\"margin: 0cm 0cm 0.0001pt; vertical-align: baseline; background-image: initial; background-attachment: initial; background-position: initial; background-repeat: initial;\"><strong><span style=\"color: #222222;\">\u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418 \/ PAGES<\/span><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 1 \/ Number 1: 1 &ndash; 112<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 2 \/ Number 2: 113 &ndash; 224<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 3 \/ Number 3: 225 &ndash; 336<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 4 \/ Number 4: 337 &ndash; 448<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 5 \/ Number 5: 449 &ndash; 560<\/p>\n<p>\u041a\u043d\u0438\u0436\u043a\u0430 6 \/ Number 6: 561 &ndash; 664&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u0415\u0421\u041a\u041e\u0422\u041e \u041e\u0411\u0420\u0410\u0417\u041e\u0412\u0410\u041d\u0418\u0415 \u041f\u041e \u0421\u0412\u0415\u0422\u0410 \/ MATHEMATICAL EDUCATION WORLDWIDE<\/strong><\/p>\n<p>\u041c. \u0412. \u041b\u043e\u043c\u043e\u043d\u043e\u0441\u043e\u0432 \u0418 \u0422\u0440\u0430\u0434\u0438\u0446\u0438\u0438 \u0423\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0441\u043a\u043e\u0433\u043e \u041e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f [M. V. Lomonosov And The Traditions Of The University Education]\/ \u0422\u0430\u0442\u044c\u044f\u043d\u0430 \u0411\u0443\u0442\u043e\u0440\u0438\u043d\u0430 \/ \u0422atyana Butorina &#8211; \u0441\u0442\u0440. 10<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u041e\u0411\u0420\u0410\u0417\u041e\u0412\u0410\u0422\u0415\u041b\u041d\u0418 \u0422\u0415\u0425\u041d\u041e\u041b\u041e\u0413\u0418\u0418 \/ EDUCATIONAL TECHNOLOGY<\/strong><\/p>\n<p>19 &ndash; 39:XML \u043c\u043e\u0434\u0435\u043b \u0437\u0430 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0447\u043d\u043e \u0433\u0435\u043d\u0435\u0440\u0438\u0440\u0430\u043d\u0435 \u043d\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u0438 \u0442\u0435\u043a\u0441\u0442\u043e\u0432\u0435 [An XML Model for Automatic Generation of Program Texts]\/ \u041f\u0430\u0432\u0435\u043b \u0410\u0437\u044a\u043b\u043e\u0432 \/ Pavel Azalov<\/p>\n<p>40 &ndash; 57 The Computer Improves the Steiner&rsquo;s Construction of the Malfatti Circles] \/ Sava Grozdev, Deko Dekov<\/p>\n<p>119 &ndash; 128:Spreadsheets as Tools for Constructing Mathematical Concepts \/ Erich Neuwirth<\/p>\n<p>129 &ndash; 142:Education of a Mathematician &ndash; Experimentalist, or Soft Manifesto of Experimental Mathematics \/ Alexander Yastrebov, Maria Shabanova<\/p>\n<p>143 &ndash; 148:Computer-discovered Mathematics: Lalesco Products \/Sava Grozdev, Deko Dekov<\/p>\n<p>149 &ndash; 156:\u0421\u0430\u043c\u043e\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u043d\u043e \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u0437\u0430\u0447\u0430\u0447\u0438 \u0441 Excel [Independent Problem Solving with Excel] \/\u041f\u043b\u0430\u043c\u0435\u043d \u041f\u0435\u043d\u0435\u0432, \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Plamen Penev, Diana Stefanova<\/p>\n<p>272 &ndash; 278:\u041f\u0440\u043e\u0435\u043a\u0442\u043d\u043e \u0431\u0430\u0437\u0438\u0440\u0430\u043d\u0438 \u043f\u043e\u0434\u0445\u043e\u0434\u0438 \u0437\u0430 \u0444\u043e\u0440\u043c\u0438\u0440\u0430\u043d\u0435 \u0438 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u043d\u0430 \u0438\u0437\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u043d\u0438 \u0443\u043c\u0435\u043d\u0438\u044f, \u0440\u0435\u0430\u043b\u0438\u0437\u0438\u0440\u0430\u043d\u0438 \u0447\u0440\u0435\u0437 \u043e\u0441\u044a\u0449\u0435\u0441\u0442\u0432\u044f\u0432\u0430\u043d\u0435 \u043d\u0430 \u043c\u0435\u0436\u0434\u0443\u043f\u0440\u0435\u0434\u043c\u0435\u0442\u043d\u0438 \u0432\u0440\u044a\u0437\u043a\u0438 \u0438 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0438 \u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 [A Project-Based Approach: the Formation of Computing Skills Through Multidisciplinary Interconnections and the Incorporation of Electronic Devices] \/ \u041a\u043e\u0441\u0442\u0430 \u0413\u044a\u0440\u043e\u0432, \u0410\u043d\u0433\u0435\u043b \u0410\u043d\u0433\u0435\u043b\u043e\u0432, \u041b\u0430\u043c\u0431\u0440\u0438 \u0419\u043e\u0432\u043a\u043e\u0432\/ Kosta Garov, Angel Angelov, Lambri Yovkov<\/p>\n<p>279 &ndash; 299:\u041f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0438 \u0435\u0440\u0433\u043e\u043d\u043e\u043c\u0438\u0447\u0435\u043d \u043f\u043e\u0434\u0445\u043e\u0434 \u043f\u0440\u0438 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0432\u0430\u043d\u0435 \u043d\u0430 \u043c\u0443\u043b\u0442\u0438\u043c\u0435\u0434\u0438\u0439\u043d\u0430 \u0441\u0440\u0435\u0434\u0430 \u0437\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u043f\u043e \u043a\u043e\u043c\u043f\u044e\u0442\u044a\u0440\u043d\u0438 \u043d\u0430\u0443\u043a\u0438 [Pedagogical and Ergonomic Approach in the Development of Multimedia Learning Environment in Computer Science] \/ \u0415\u0432\u0433\u0435\u043d\u0438\u044f \u0413\u043e\u0440\u0430\u043d\u043e\u0432\u0430 \/ Evgenia Goranova<\/p>\n<p>415 &ndash; 425:\u0414\u0432\u0435 \u0441\u0438\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438 \u043f\u043e\u043b\u044f\u0440\u0438 \u0438 \u0434\u0432\u0430 \u0445\u0430\u0440\u043c\u043e\u043d\u0438\u0447\u043d\u043e \u0441\u043f\u0440\u0435\u0433\u043d\u0430\u0442\u0438 \u043f\u043e\u043b\u044e\u0441\u0430 [Two Symmetric Polar Lines and Two Harmonically Conjugated Poles] \/ \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<\/p>\n<p>426 &ndash; 436:Computer-Discovered Mathematics: Cevian Corner Products \/ Sava Grozdev, Deko Dekov<\/p>\n<p>455 &ndash; 482:\u041e\u0442 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043a\u044a\u043c \u043a\u043e\u043c\u043f\u044e\u0442\u044a\u0440\u043d\u0438 \u0438\u0433\u0440\u0438 [From Mathematical to Computer Games] \/ \u041f\u0430\u0432\u0435\u043b \u0410\u0437\u044a\u043b\u043e\u0432 \/ Pavel Azalov<\/p>\n<p>483 &ndash; 496: \u0427\u0435\u0442\u0438\u0440\u0438\u0447\u043b\u0435\u043d\u043d\u0430\u0442\u0430 \u0440\u0435\u043b\u0430\u0446\u0438\u044f &bdquo;\u041e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 &ndash; \u041f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0438 &ndash; \u0414\u0435\u0439\u043d\u043e\u0441\u0442\u0438 &ndash; \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u044f&ldquo; \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0442\u0430 &bdquo;O\u043f\u043f\u0440\u043e\u0434\u0435\u0439&ldquo; \u0438 \u043f\u0440\u0438\u043d\u043e\u0441\u044a\u0442 \u045d \u0437\u0430 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e \u0438\u0437\u043f\u044a\u043b\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u0438\u0442\u0435 \u043f\u0440\u043e\u0446\u0435\u0441\u0438 \u0432 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0438\u0442\u0435 \u0434\u043e\u043a\u0443\u043c\u0435\u043d\u0442\u0438 [The Four-member Relation &ldquo;Operations-Procedures-Activities-Actions&rdquo; in the &ldquo;Opprodey&rdquo; System And its Contribution to the Effective Execution of Information Processes in to Electronic Documents] \/ \u0420\u0438\u0434\u0432\u0430\u043d \u0418\u0441\u0443\u0444\u043e\u0432 \/ Ridvan Isufov<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u0412\u042a\u041f\u0420\u041e\u0421\u0418 \u041d\u0410 \u041f\u0420\u0415\u041f\u041e\u0414\u0410\u0412\u0410\u041d\u0415\u0422\u041e \/ EDUCATIONAL MATTERS<\/strong><\/p>\n<p>58 &ndash; 68:\u0421\u0442\u0438\u043c\u0443\u043b\u0438\u0440\u0430\u043d\u0435 \u0430\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0442\u0430 \u043d\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0438\u0442\u0435 \u0432 \u043f\u0440\u043e\u0446\u0435\u0441\u0430 \u043d\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 \u0447\u0440\u0435\u0437 \u0438\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u0438\u043d\u0442\u0435\u0440\u0430\u043a\u0442\u0438\u0432\u043d\u0438 \u043c\u0435\u0442\u043e\u0434\u0438 [Stimulating Students&#8217; Activity in the Teaching Process by Interactive Methods] \/ \u041b\u0438\u043b\u044f\u043d\u0430 \u041a\u0430\u0440\u0430\u043a\u0430\u0448\u0435\u0432\u0430-\u0419\u043e\u043d\u0447\u0435\u0432\u0430 \/ Lilyana Karakasheva-Yoncheva<\/p>\n<p>69 &ndash; 76:\u0420\u043e\u043b\u044f\u0442\u0430 \u043d\u0430 \u0435\u043c\u043e\u0446\u0438\u0438\u0442\u0435 \u043d\u0430 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 \u043f\u0440\u0438 \u043c\u043e\u0442\u0438\u0432\u0430\u0446\u0438\u044f\u0442\u0430 \u0438\u043c \u0432 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [The Role of Students&#8217; Emotions in Their Motivation to Study Mathematics] \/ \u0420\u0443\u043c\u044f\u043d\u0430 \u041c\u0430\u0432\u0440\u043e\u0432\u0430, \u0417\u0430\u0440\u0430 \u0414\u0430\u043d\u0430\u0438\u043b\u043e\u0432\u0430 \/ Rumjana Mavrova, Zara Danailova<\/p>\n<p>77 &ndash; 85:\u041a\u043e\u0433\u043d\u0438\u0442\u0438\u0432\u043d\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f \u043f\u0440\u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0446\u0438\u0442\u0435 \u0441 \u0443\u0432\u0440\u0435\u0434\u0435\u043d\u043e \u0437\u0440\u0435\u043d\u0438\u0435 [Cognitive Dimensions to Blind Mathematicians]\/\u041c\u0438\u043b\u0435\u043d \u0417\u0430\u043c\u0444\u0438\u0440\u043e\u0432 \/ Milen Zamfirov<\/p>\n<p>231 &ndash; 250:\u0415\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u0438 \u0430\u0440\u0438\u0442\u043c\u0435\u0442\u0438\u0447\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438. \u0421\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0430 \u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043c\u043e\u0434\u0435\u043b. \u041a\u043b\u0430\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f. \u0422\u0435\u043a\u0441\u0442\u043e\u0432\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [Elementary Arithmetic Problems. Structure and Mathematical Model. Classification. Word Problems] \/ \u041c\u0430\u0440\u0433\u0430\u0440\u0438\u0442\u0430 \u0412\u044a\u0440\u0431\u0430\u043d\u043e\u0432\u0430, \u0417\u0434\u0440\u0430\u0432\u043a\u043e \u041b\u0430\u043b\u0447\u0435\u0432, \u0418\u0440\u0438\u043d\u0430 \u0412\u0443\u0442\u043e\u0432\u0430 \/Margarita Varbanova, Zdravko Lalchev, Irina Voutova<\/p>\n<p>251 &ndash; 260:\u0418\u0437\u043f\u043e\u043b\u0437\u0432\u0430\u043d\u0435 \u043d\u0430 \u0444\u043e\u0440\u043c\u0430\u0442\u0438\u0432\u043d\u043e \u043e\u0446\u0435\u043d\u044f\u0432\u0430\u043d\u0435 \u0432 \u0434\u043e\u043c\u0430\u0448\u043d\u0430\u0442\u0430 \u0440\u0430\u0431\u043e\u0442\u0430 [Using Formative Assesment in Homework] \/\u0411\u043e\u0440\u0438\u0441\u043b\u0430\u0432\u0430 \u041a\u0438\u0440\u0438\u043b\u043e\u0432\u0430 \/ Borislava Kirilova<\/p>\n<p>261 &ndash; 271:Comparative Analysis Regarding the Study of Transformations in the Euclidean Plane by Applying Complex Numbers \/ Katerina Anevska, Sava Grozdev, Risto Malcheski<\/p>\n<p>343 &ndash; 374: \u0421\u044a\u0441\u0442\u0430\u0432\u043d\u0438 \u0430\u0440\u0438\u0442\u043c\u0435\u0442\u0438\u0447\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438. \u0421\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u043e-\u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0447\u0435\u043d \u043c\u043e\u0434\u0435\u043b \u0438 MZ-\u043a\u0430\u0440\u0442\u0430 \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0430\u0442\u0430. \u0422\u0435\u043a\u0441\u0442\u043e\u0432\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 [Composite Arithmetic Problems. Structure-Technological Model and MZ-map of a Problem. Word Problems]\/ \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 \/ Zdravko Lalchev, Margarita Varbanova<\/p>\n<p>375 &ndash; 381: \u0415\u0434\u0438\u043d \u0443\u0440\u043e\u043a \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0432 \u0447\u0435\u0442\u0432\u044a\u0440\u0442\u0438 \u043a\u043b\u0430\u0441 [A Mathematical Class in Fourth Grade] \/ \u0414\u0438\u0430\u043d\u0430 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u0432\u0430 \/ Diana Stefanova<\/p>\n<p>382 &ndash; 402:\u0417\u043b\u0430\u0442\u043d\u043e\u0442\u043e \u0441\u0435\u0447\u0435\u043d\u0438\u0435 \u0438 \u0447\u0438\u0441\u043b\u0430\u0442\u0430 \u043d\u0430 \u0424\u0438\u0431\u043e\u043d\u0430\u0447\u0438 &ndash; \u0441\u0438\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u0438 \u0432\u0440\u044a\u0437\u043a\u0438 \u043c\u0435\u0436\u0434\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u043c\u0443\u0437\u0438\u043a\u0430 [The Golden Section and the Fibonacci Numbers &ndash; Synergetic Relationship Between Mathematics, Informatics and Music] \/ \u041a\u0430\u043c\u0435\u043b\u0438\u044f \u041a\u043e\u043b\u0435\u0432\u0430, \u0412\u0430\u043b\u0435\u043d\u0442\u0438\u043d \u0411\u0430\u043a\u043e\u0435\u0432 \/ Kamelia Koleva, Valentin Bakoev<\/p>\n<p>403 &ndash; 414:\u0410\u043d\u0430\u043b\u0438\u0437 \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0438\u0442\u0435 \u043e\u0442 \u043e\u0431\u043b\u0430\u0441\u0442\u043d\u0438\u044f \u043a\u0440\u044a\u0433 \u043d\u0430 \u043c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u043e\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e \u0441\u044a\u0441\u0442\u0435\u0437\u0430\u043d\u0438\u0435 &ldquo;E\u0432\u0440\u043e\u043f\u0435\u0439\u0441\u043a\u043e \u043a\u0435\u043d\u0433\u0443\u0440\u0443&rdquo; \u0437\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0438 [Analysis of the Paper for the Regional Round of the International Mathematical Competition for University Students &ldquo;European Kangaroo&rdquo;] \/\u0412\u0435\u0441\u0435\u043b\u0438\u043d \u041d\u0435\u043d\u043a\u043e\u0432, \u0419\u043e\u0440\u0434\u0430\u043d \u041f\u0435\u0442\u043a\u043e\u0432 \/ Veselin Nenkov, Yordan Petkov<\/p>\n<p>567 &ndash; 581:Errors related to topics in geometry, data representation and analysis made by fifth grade srudents in the republic of \u041cacedonia \/ Metodi Glavche, Risto Mal\u010deski, Katerina Anevska<\/p>\n<p>582 &ndash; 592:Mathematical skills are required in the changing world \/ Desislava Georgieva<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u041d\u0410\u0423\u0427\u041d\u041e&ndash;\u041c\u0415\u0422\u041e\u0414\u0418\u0427\u0415\u0421\u041a\u0418 \u0421\u0422\u0410\u0422\u0418\u0418 \/ EDUCATIONAL RESEARCH<\/strong><\/p>\n<p>52 &ndash; 57:\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u044f \u043d\u0430 \u043a\u0440\u0438\u0432\u0430 \u043d\u0430 \u0427\u0435\u0432\u0430[A Geometrical Construction of a Ceva Curve] \/ \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<\/p>\n<p>157 &ndash; 169:\u041c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f \u043c\u0435\u0442\u043e\u0434\u0430 \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0439 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0441\u043a\u0440\u0435\u0449\u0438\u0432\u0430\u044e\u0442\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 [Modification of the Projection Method to Find the Distrance Between Skew Lines] \/ \u0412\u043b\u0430\u0434\u0438\u043c\u0438\u0440 \u0416\u0443\u043a \/ Vladimir Zhuk<\/p>\n<p>170 &ndash; 179:\u041e\u0431\u043e\u0431\u0449\u0435\u043d\u0438\u044f \u0437\u0430 \u043d\u044f\u043a\u043e\u0438 \u043a\u043b\u0430\u0441\u043e\u0432\u0435 \u043d\u0435\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0438, \u0441\u0432\u0435\u0436\u0434\u0430\u0449\u0438 \u0441\u0435 \u0434\u043e \u0440\u0435\u043a\u0443\u0440\u0435\u043d\u0442\u043d\u0430 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442 [Generalization of Some Types of Indefinite Integrals, Which Can Be Solved by Recurrence] \/\u0420\u043e\u0441\u0435\u043d \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432 \/ Rosen Nikolaev<\/p>\n<p>180 &ndash; 179:Applying Cloud Computing for a More Efficient Evaluation of Practical Projects \/ Emil Delinov<\/p>\n<p>195 &ndash; 212: \u041f\u043e\u0434\u0445\u043e\u0434\u0438 \u043f\u0440\u0438 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0432\u0430\u043d\u0435 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u043d \u0438\u043d\u0442\u0435\u0440\u0444\u0435\u0439\u0441 \u0437\u0430 \u0440\u0430\u0431\u043e\u0442\u0430 \u0441 \u043d\u044f\u043a\u043e\u043b\u043a\u043e \u0434\u043e\u043a\u0443\u043c\u0435\u043d\u0442\u0430 [Approaches in Developing GUI and Working With Several Applications] \/ \u0422\u043e\u0434\u043e\u0440\u043a\u0430 \u0422\u0435\u0440\u0437\u0438\u0435\u0432\u0430 \/ Todorka Terzieva &#8211; \u0441\u0442\u0440. 195<\/p>\n<p>300 &ndash; 311:\u041c\u043e\u0442\u0438\u0432\u0430\u0446\u0438\u043e\u043d\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0432 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 [Motivational Problems in Teaching Mathematics] \/ \u0420\u0443\u043c\u044f\u043d\u0430 \u041c\u0430\u0432\u0440\u043e\u0432\u0430, \u041f\u0435\u043d\u043a\u0430 \u0420\u0430\u043d\u0433\u0435\u043b\u043e\u0432\u0430, \u0417\u0430\u0440\u0430 \u0414\u0430\u043d\u0430\u0438\u043b\u043e\u0432\u0430-\u0421\u0442\u043e\u0439\u043d\u043e\u0432\u0430 \/ Rumjana Mavrova, PenkaRangelova, Zara Danailova-Stojnova<\/p>\n<p>312 &ndash; 321:\u0412\u044a\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0437\u0430 \u0441\u044a\u0433\u043b\u0430\u0441\u0443\u0432\u0430\u043d\u043e\u0441\u0442 \u043d\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0432 \u0441\u0440\u0435\u0434\u043d\u0438\u0442\u0435 \u0443\u0447\u0438\u043b\u0438\u0449\u0430 \u0438 \u0432\u044a\u0432 \u0432\u0438\u0441\u0448\u0438 \u0443\u0447\u0438\u043b\u0438\u0449\u0430 [Collaboration Within Mathematics Education in Secondary Schools and in Universities] \/ \u041c\u0430\u0440\u0438\u0430\u043d\u0430 \u0414\u0443\u0440\u0447\u0435\u0432\u0430, \u0415\u043b\u0435\u043d\u0430 \u0412\u044a\u0440\u0431\u0430\u043d\u043e\u0432\u0430\/ Mariana Durcheva, Elena Varbanova<\/p>\n<p>497 &ndash; 512:\u0421\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438 \u0438 \u0441\u043f\u0435\u0446\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0438 \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0442\u0430 \u043d\u0430 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u043e\u0442\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435 [Standards and Specifications in the e-Learning Field] \/ \u041c\u0438\u043b\u0435\u043d \u041f\u0435\u0442\u0440\u043e\u0432, \u041a\u0430\u043c\u0435\u043b\u0438\u044f \u0419\u043e\u0442\u043e\u0432\u0441\u043a\u0430 \/ Milen Petrov, Kamelia Yotovska<\/p>\n<p>513 &ndash; 519:Computer Discovered Mathematics: Antipedal Corner Products \/ Sava Grozdev, Deko Dekov<\/p>\n<p>520 &ndash; 538:\u041f\u044a\u043b\u043d\u043e \u043e\u0431\u043e\u0431\u0449\u0435\u043d\u0438\u0435 \u043d\u0430 \u0442\u0435\u043e\u0440\u0435\u043c\u0430\u0442\u0430 \u043d\u0430 \u0413\u0440\u0438\u0444\u0438\u0442\u0441 \u0441 \u043a\u043e\u043d\u0438\u0447\u043d\u0438 \u0441\u0435\u0447\u0435\u043d\u0438\u044f [Full Genarization of The Griffits Theorem with 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<\/p>\n<p>539 &ndash; 548: \u0413\u0435\u043d\u0435\u0437\u0438\u0441 \u0438 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u043d\u0430 T\u0435\u043e\u0440\u0438\u044f\u0442\u0430 \u043d\u0430 \u0440\u0430\u0432\u043d\u043e\u043c\u0435\u0440\u043d\u043e\u0442\u043e \u0440\u0430\u0437\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 [Genesis and Development of the Theory of Uniform Distribution] \/ \u0421\u0438\u043b\u0432\u0438\u044f \u0411\u0430\u0439\u0447\u0435\u0432\u0430, \u0412\u0430\u0441\u0438\u043b \u0413\u0440\u043e\u0437\u0434\u0430\u043d\u043e\u0432 \/ Sylviya Baycheva, Vassil Grozdanov<\/p>\n<p>593 &ndash; 603: \u0418\u0441\u0442\u043e\u0440\u0438\u0447\u0435\u0441\u043a\u0438 \u043f\u0440\u0435\u0434\u043f\u043e\u0441\u0442\u0430\u0432\u043a\u0438 \u0437\u0430 \u0441\u043c\u044f\u0442\u0430\u043d\u0435\u0442\u043e \u0441 \u043f\u0440\u044a\u0441\u0442\u0438 \u0438 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u043d\u0430 \u0443\u0447\u0435\u043d\u0438\u0446\u0438 \u0441\u044a\u0441 \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u043d\u0438 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u043d\u0438 \u043f\u043e\u0442\u0440\u0435\u0431\u043d\u043e\u0441\u0442\u0438 [Historical Prerequisites for Finger Math and the Mathematics Education of Students with Special Educational Needs] \/ \u041c\u0438\u043b\u0435\u043d \u0417\u0430\u043c\u0444\u0438\u0440\u043e\u0432 \/ Zamfirov<\/p>\n<p>604 &ndash; 608: One more proof for the distance between the incentre and the orthocentre of the triangle \/ &Scaron;efket Arslanagi\u0107<\/p>\n<p>609 &ndash; 615:Computer discovered mathematics: Pedal corner products \/ Sava Grozdev, Deko Dekov<\/p>\n<p>616 &ndash; 620: E\u0434\u043d\u043e \u043e\u0431\u043e\u0431\u0449\u0435\u043d\u0438\u0435 \u043d\u0430 \u043e\u0440\u0442\u043e\u0446\u0435\u043d\u0442\u0440\u0438\u0447\u043d\u0438\u044f \u0442\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a [A generalization of the orthocentric triangle] \/ \u0425\u0430\u0438\u043c \u0425\u0430\u0438\u043c\u043e\u0432,<\/p>\n<p>621 &ndash; 638: \u0422\u0435\u043e\u0440\u0435\u043c\u0430\u0442\u0430 \u043d\u0430 \u0424\u043e\u043d\u0442\u0435\u043d\u0435 \u043f\u043e \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043d\u0430 \u043e\u043f\u0438\u0441\u0430\u043d\u0438 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u043d\u0438 \u043a\u043e\u043d\u0438\u0447\u043d\u0438 \u0441\u0435\u0447\u0435\u043d\u0438\u044f [Fonten&eacute; theorem with respect to surcumscribed central 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<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\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 \/ COMPETITIONS AND OLYMPIADS<\/strong><\/p>\n<p>86 &ndash; 95:\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 12-\u0442\u0438 \u043a\u043b\u0430\u0441 \u043d\u0430 \u041e\u0431\u043b\u0430\u0441\u0442\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0442\u0443\u0440\u043d\u0438\u0440 \u0432 \u0433\u0440. \u041a\u044a\u0440\u0434\u0436\u0430\u043b\u0438 &ndash; 2014 \u0433. [Analysis of the Problems and Performance of the Students from 12th Grade on the Regional Mathematics Tournament in Kardzhali &#8211; 2014] \/ \u0420\u043e\u0441\u0435\u043d \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432, \u0419\u043e\u0440\u0434\u0430\u043d \u041f\u0435\u0442\u043a\u043e\u0432 \/ Rosen Nikolaev, Jordan Petkov- \u0441\u0442\u0440.86<\/p>\n<p>95 &ndash; 99: \u0414\u0432\u0430\u043d\u0430\u0434\u0435\u0441\u0435\u0442\u0430 \u041c\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 [The Twelfth International Olympiad in Linguistics] \/ \u0418\u0432\u0430\u043d \u0414\u0435\u0440\u0436\u0430\u043d\u0441\u043a\u0438 \/ Ivan Derzhanski- \u0441\u0442\u0440. 95<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u041a\u041e\u041d\u041a\u0423\u0420\u0421\u041d\u0418 \u0417\u0410\u0414\u0410\u0427\u0418 \/ CONTEST PROBLEMS<\/strong><\/p>\n<p>100:\u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of the Issue]<\/p>\n<p>101 &ndash; 104:\u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 2, 2014 [Solutions of the Contest Problems from issue 2, 2014]<\/p>\n<p>213:\u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of the Issue] &#8211; \u0441\u0442\u0440. 213<\/p>\n<p>214 &ndash; 216:\u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 3, 2014 [Solutions of the Contest Problems from issue 3, 2014]<\/p>\n<p>322:\u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f[Contest Problems of the Issue]<\/p>\n<p>323 &ndash; 326:\u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 4, 2014[Solutions of the Contest Problems from issue 4, 2014]<\/p>\n<p>437:\u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f[Contest Problems of the Issue]<\/p>\n<p>\u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 3, 2015 [Solutions of the Contest Problems from issue 3, 2015] &#8211; 438<\/p>\n<p>542 \u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of the Issue]<\/p>\n<p>550-552: \u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 4, 2015 [Solutions of the Contest Problems from issue 4, 2015]<\/p>\n<p>639\u041a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u043d\u0430 \u0431\u0440\u043e\u044f [Contest Problems of the Issue]<\/p>\n<p>640 &ndash; 642:\u0420\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u043a\u043e\u043d\u043a\u0443\u0440\u0441\u043d\u0438\u0442\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u0431\u0440\u043e\u0439 5, 2015 [Solutions of the Contest Problems from issue 5, 2015]<\/p>","protected":false},"excerpt":{"rendered":"<p>\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u041a\u0410 \u0418 \u0418\u041d\u0424\u041e\u0420\u041c\u0410\u0422\u0418\u041a\u0410 \/MATHEMATICS AND INFORMATICS BULGARIAN EDUCATIONAL JOURNAL \u0413\u041e\u0414\u0418\u041d\u0410 LVII \/ VOLUME 58, 2015 \u0421\u0422\u0420\u0410\u041d\u0418\u0426\u0418 \/ PAGES &nbsp; \u041a\u043d\u0438\u0436\u043a\u0430 1 \/ Number 1: 1 &ndash; 112 \u041a\u043d\u0438\u0436\u043a\u0430 2 \/ Number 2: 113 &ndash; 224 \u041a\u043d\u0438\u0436\u043a\u0430 3 \/ Number 3: 225 &ndash; 336 \u041a\u043d\u0438\u0436\u043a\u0430 4 \/ Number 4: 337 &ndash; 448 \u041a\u043d\u0438\u0436\u043a\u0430 5 \/ 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":[],"jnews_primary_category":[]},"categories":[2864],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - 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