{"id":220535,"date":"2014-05-22T16:33:32","date_gmt":"2014-05-22T13:33:32","guid":{"rendered":"https:\/\/azbuki.bg\/?p=220535"},"modified":"2026-01-29T09:20:37","modified_gmt":"2026-01-29T07:20:37","slug":"matematika-i-informatika-knizhka-3-godina-lvii-2014","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/matematics\/matharticles\/matematika-i-informatika-knizhka-3-godina-lvii-2014\/","title":{"rendered":"Mathematics and Informatics, Number 3\/2014, Volume 57"},"content":{"rendered":"<h3 style=\"text-align: left;\">The Inversion \u2013 a Method in Primary School Mathematics<\/h3>\n<p><strong>Zdravko Lalchev 1), Margarita Varbanova 2)<\/strong><\/p>\n<p><em>1) Sofia University<\/em><br \/>\n<em>2) \u201cSt. Cyril and St. Methodius\u201d University \u2013 Veliko Tarnovo, Bulgaria<\/em><\/p>\n<p><strong>Abstract.<\/strong> The authors adapt the inversion method didactically for the purposes of Education and represent its heuristic possibilities in solving \u201enonstandard\u201d problems in Primary school mathematics.<\/p>\n<p><em>\u041a\u0435\u0443words:<\/em> primary school mathematics, inversion, transformation, mathematical model, chain diagram<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/inversiyata-metod-v-nachalnata-uchilishhna-matematika\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Creative Activity Stimulation of Bilingual Students by Dynamic Software<\/h3>\n<p><strong>Sava Grozdev 1), Diana Stefanova 2),<\/strong><br \/>\n<strong>Kalina Vasileva 2), Stanislava Koleva 3), Radka Todorova 4)<\/strong><\/p>\n<p><em>1) Bulgarian Academy of Sciences<\/em><br \/>\n<em>2) Primary School \u201cNikola Vaptsarov\u201d \u2013 Asenovgrad<\/em><br \/>\n<em>3) Primary School \u201eDimitar Matevski\u201d \u2013 Merichleri<\/em><br \/>\n<em>4) High School \u201cHristo. Prodanov\u201d \u2013 Karlovo<\/em><\/p>\n<p><strong>Abstract.<\/strong> Accounting for the specificity in teaching of romani students (insufficient knowledge of Bulgarian language, differentiation of the emotions as leading in knowledge formation), in the conditions of bilingual education the authors propose a support to the acquaintance with geometric figures applying dynamic geometric software. The approach is with already proved advantages in all stages of the mathematical education: saving of time for producing figures; increasing of student interest and activity during the educational process by the possibility of making experiments on figures; creation of a media to develop heuristic skills in teaching; support of creative activity.<\/p>\n<p><em>Keywords:<\/em> bilingual education, romani people, dynamic software, creative thinking<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/stimulirane-na-tvorcheska-aktivnost-pri-bilingvi-chrez-dinamichen-softuer\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Programming of Number Series<\/h3>\n<p><strong>Ivaylo Staribratov, Tcvetana Dimitrova<\/strong><\/p>\n<p><em>High School of Mathematics \u201eAcad. Kiril Popov\u201c<\/em><\/p>\n<p style=\"text-align: right;\"><em>\"The closer you look, the less you see\"<\/em><br \/>\n<strong>Now You See Me<\/strong>, a film by Louis Leterrier<\/p>\n<p><strong>Abstract.<\/strong> A system of supporting tasks related to the application of number series from Mathematics in Informatics is developed. Number series are used to form knowledge and skills of students for cyclic algorithms. The article is focused on competition group E in Informatics (10 \u2013 11 year old students).<\/p>\n<p><em>Keywords:<\/em> informatics for competitions, methodology, programing for fourth graders<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/programirane-na-chislovi-rediczi\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>A Ceva Curve for a Point in the Plain of a Triangle<\/h3>\n<p><strong>Sava Grozdev 1), Veselin Nenkov 2)<\/strong><\/p>\n<p><em>1) Bulgarian Academy of Sciences<\/em><br \/>\n<em>2) Technical College Lovech<\/em><\/p>\n<p><strong>Abstract.<\/strong> The paper describes a way to obtain conics, which are defined by an arbitrary circumscribed conic of a given triangle and a point in the plane of the triangle. Some properties of the obtained conics are noted.<\/p>\n<p><em>Keywords:<\/em> triangle, homothety, conic, Ceva circle, Ceva curve, Feuerbach configuration, Euler curve, Nagel point, GSP<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/kriva-na-cheva-za-tochka-ot-ravninata-na-triagalnik\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>An Interesting Algebraic Inequality and some Applications<\/h3>\n<p><strong>\u0160efket Arslanagi\u0107<\/strong><\/p>\n<p><em>University of Sarajevo<\/em><\/p>\n<p><strong>Abstract.<\/strong> The paper consider the following algebraic inequality<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-220879 size-full\" src=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2026\/01\/maths2014-3-fig.png\" alt=\"\" width=\"668\" height=\"64\" srcset=\"https:\/\/bel.azbuki.bg\/wp-content\/uploads\/2026\/01\/maths2014-3-fig.png 668w, https:\/\/bel.azbuki.bg\/wp-content\/uploads\/2026\/01\/maths2014-3-fig-300x29.png 300w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/>where x, y, z are positive numbers and <img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-220880\" src=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2026\/01\/maths2014-3-fig01.png\" alt=\"\" width=\"89\" height=\"21\" \/> Some generalizations are proposed and examples of application are discussed.<\/p>\n<p><em>Keywords:<\/em> algebraic inequality, inequality of Cauchy-Bunyakovski-Schwarz, generalization, application<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/an-interesting-algebraic-inequality-and-some-applications\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Some Methodological Approaches to Compose Olympiad Problems<\/h3>\n<p><strong>Sava Grozdev 1), Veselin Nenkov 2)<\/strong><\/p>\n<p><em>1) Bulgarian Academy of Sciences<\/em><br \/>\n<em>2) Technical College Lovech<\/em><\/p>\n<p><strong>Abstract.<\/strong> In comparison with problems, included in lecture courses or in exams on mathematical subjects, the Olympiad problems should assure possibilities for creativity and non-standard thinking of competitors. Thus, it is quite desirable that such problems allow more than one method to find corresponding solutions. The paper proposes a type of problems with various approaches to their solutions.<\/p>\n<p><em>Keywords:<\/em> methodology, olympiad problems, complex numbers, matrix, recurrence equation<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/nyakoi-metodicheski-podhodi-za-sastavyane-na-zadachi-za-olimpiadi\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Contest Problems of this Issue<\/h3>\n<p>Veselin Nenkov<\/p>\n<h3><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/konkursni-zadachi-na-broya-4\/\">SEE MORE<\/a><\/h3>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>\u0418\u043d\u0432\u0435\u0440\u0441\u0438\u044f\u0442\u0430 \u2013 \u043c\u0435\u0442\u043e\u0434 \u0432 \u043d\u0430\u0447\u0430\u043b\u043d\u0430\u0442\u0430 \u0443\u0447\u0438\u043b\u0438\u0449\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0417\u0434\u0440\u0430\u0432\u043a\u043e \u041b\u0430\u043b\u0447\u0435\u0432 1), \u041c\u0430\u0440\u0433\u0430\u0440\u0438\u0442\u0430 \u0412\u044a\u0440\u0431\u0430\u043d\u043e\u0432\u0430 2) 1) \u0421\u043e\u0444\u0438\u0439\u0441\u043a\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u201e\u0421\u0432. \u041a\u043b\u0438\u043c\u0435\u043d\u0442 \u041e\u0445\u0440\u0438\u0434\u0441\u043a\u0438\u201c 2) \u0412\u0435\u043b\u0438\u043a\u043e\u0442\u044a\u0440\u043d\u043e\u0432\u0441\u043a\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u201e\u0421\u0432. \u0441\u0432. \u041a\u0438\u0440\u0438\u043b \u0438 \u041c\u0435\u0442\u043e\u0434\u0438\u0439\u201c \u0420\u0435\u0437\u044e\u043c\u0435. \u0410\u0432\u0442\u043e\u0440\u0438\u0442\u0435 \u043f\u0440\u0430\u0432\u044f\u0442 \u043c\u0435\u0442\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0430 \u0430\u0434\u0430\u043f\u0442\u0430\u0446\u0438\u044f \u043d\u0430 \u043c\u0435\u0442\u043e\u0434\u0430 \u043d\u0430 \u0438\u043d\u0432\u0435\u0440\u0441\u0438\u044f\u0442\u0430 \u0437\u0430 \u0446\u0435\u043b\u0438\u0442\u0435 \u043d\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044f\u0442 \u043d\u0435\u0433\u043e\u0432\u0438\u0442\u0435 \u0435\u0432\u0440\u0438\u0441\u0442\u0438\u0447\u043d\u0438 \u0432\u044a\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u0438 \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u201e\u043d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u201c \u0437\u0430\u0434\u0430\u0447\u0438 \u043e\u0442 \u043d\u0430\u0447\u0430\u043b\u043d\u0430\u0442\u0430 \u0443\u0447\u0438\u043b\u0438\u0449\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u041a\u0435\u0443words: [&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":[2882],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>&quot;\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430&quot;, \u043a\u043d\u0438\u0436\u043a\u0430 3, \u0433\u043e\u0434\u0438\u043d\u0430 LVII, 2014 - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/history.azbuki.bg\/matematics\/matharticles\/matematika-i-informatika-knizhka-3-godina-lvii-2014\/\" \/>\n<meta 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