The Inversion – a Method in Primary School Mathematics
Zdravko Lalchev 1), Margarita Varbanova 2)
1) Sofia University
2) “St. Cyril and St. Methodius” University – Veliko Tarnovo, Bulgaria
Abstract. The authors adapt the inversion method didactically for the purposes of Education and represent its heuristic possibilities in solving „nonstandard” problems in Primary school mathematics.
Кеуwords: primary school mathematics, inversion, transformation, mathematical model, chain diagram
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Creative Activity Stimulation of Bilingual Students by Dynamic Software
Sava Grozdev 1), Diana Stefanova 2),
Kalina Vasileva 2), Stanislava Koleva 3), Radka Todorova 4)
1) Bulgarian Academy of Sciences
2) Primary School “Nikola Vaptsarov” – Asenovgrad
3) Primary School „Dimitar Matevski” – Merichleri
4) High School “Hristo. Prodanov” – Karlovo
Abstract. 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.
Keywords: bilingual education, romani people, dynamic software, creative thinking
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Programming of Number Series
Ivaylo Staribratov, Tcvetana Dimitrova
High School of Mathematics „Acad. Kiril Popov“
"The closer you look, the less you see"
Now You See Me, a film by Louis Leterrier
Abstract. 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 – 11 year old students).
Keywords: informatics for competitions, methodology, programing for fourth graders
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A Ceva Curve for a Point in the Plain of a Triangle
Sava Grozdev 1), Veselin Nenkov 2)
1) Bulgarian Academy of Sciences
2) Technical College Lovech
Abstract. 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.
Keywords: triangle, homothety, conic, Ceva circle, Ceva curve, Feuerbach configuration, Euler curve, Nagel point, GSP
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An Interesting Algebraic Inequality and some Applications
Šefket Arslanagić
University of Sarajevo
Abstract. The paper consider the following algebraic inequality
where x, y, z are positive numbers and 
Some generalizations are proposed and examples of application are discussed.
Keywords: algebraic inequality, inequality of Cauchy-Bunyakovski-Schwarz, generalization, application
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Some Methodological Approaches to Compose Olympiad Problems
Sava Grozdev 1), Veselin Nenkov 2)
1) Bulgarian Academy of Sciences
2) Technical College Lovech
Abstract. 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.
Keywords: methodology, olympiad problems, complex numbers, matrix, recurrence equation
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Contest Problems of this Issue
Veselin Nenkov
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