Year LV, Issue 6, 2012<<Archive>>

In this issue:

Articles

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ИЗУЧАВАНЕ НА МАТЕМАТИКА С НОВИ СРЕДСТВА ЗА КОМУНИКАЦИЯ

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TWO DIDACTICAL LADDERS

In the middle of 2003 eight countries from the European Union – Bulgaria, United Kingdom (later substituted by Hungary), Germany, Greece, Italy, Cyprus, Romania and Czech Republic, started the large scale European project “MATHEU: identification, motivation...

problem solving, didactical ladder, mathematical talent, identification, motivation.

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PONCELET THEOREM FOR QUADRILATERALS

The paper is dedicated to some studies on Poncelet theorem for the generation of quadrilaterals that are inscribed in a conic and circumscribed to another conic.

inscribed quadrilateral, circumscribed quadrilateral, conic.

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SOME NON-STANDARD METHODS IN PROBLEM SOLVING OF EQUATIONS, INEQUALITIES AND SYSTEMS

A considerable number of non-standard ideas, approaches and methods are known in the mathematical references to solve more difficult equations, inequalities and systems. For a successful solving of such problems it is necessary to master the existing method...

problem solving, equation, inequality, system, non-standart problem, method.

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USING MATRICES IN SCHOOL EDUCATIONAL COURSE

The present paper is dedicated to the use of matrices in the school education Mathematics course mainly in connection with solving systems of linear equations and examining the number of solutions. Microsoft Excel is used in one of the examples.

IB, assessment, matrix, determinant, system of equations, parameter, vector

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PARAMETERS, TABLES AND DYNAMIC CHARTS

Some parametric inequalites are considered in the paper whose solutions are reduced to quadratic ones. The problems are solved algebraically and geometrically. Tables are used for the algebraic solutions and the dynamical environment GeoGebra for the geometr...

parameters, tables, dynamic software, GeoGebra.

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LOCI, THAT ARE GENERATED BY CONJUGATED LINES AND CEVIANS

The paper considers generalizations of a problem from the International Mathematical Olympiad in 2010.

Olympiad, problem solving, generalization, THE GEOMETER’S SKETCHPAD.

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USING VISUAL BASIC FOR APPLICATIONS IN SOLVING PRACTICAL PROBLEMS IN INFORMATION TECHNOLOGY TRAINING

This paper is dedicated to the use of Visual Basic for Applications for teaching the module „Integration of activities and documents“ in specialized Information Technology training in upper classes of secondary school. We consider a practical problem where th...

Information Technology, training, Visual Basic for Applications, macro.

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EXTRACTION OF OBJECTIVE KNOWLEDGE FROM INTERNET

The article offers an approach and utilities for extraction of important information from Internet on a subject interesting to us. A demonstrative generalizing search system „Handbook“, containing elements of semantic analysis, is described. A simple techn...

frequency dictionary, index, knowledge base, classifier of concepts, conclusions, analogy.

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EXTERNAL EVALUATION ANALYSIS OF MATHEMATICS AT FOURTH CLASS FOR YEAR 2012 IN BULGARIA

This article presents analysis on external evaluation of students’ achievements in mathematics school subject in fourth grade. The evaluation is conducted in 2012 with a representative number of participants (5 600 students). The number of all participants in...

external evaluation 2012, mathematics, general analysis

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РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2012

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IN MEMORIAM

Contеst Problеms