Year LXI, Issue 2, 2018<<Archive>>
In this issue:
Еditoriаl
Еducаtionаl Маttеrs
A POSSIBILITY TO TEACH AND LEARN MATHEMATICS BY THEATRE TECHNOLOGY
In the recent years new approaches were created to teach and learn Mathematics. One of them is by using theatre plays with mathematical content. The present paper proposes a scenario of such a play based on linear Diophantine equations.
linear Diophantine equation; Euclid; Euler; theatre; Little Red Riding Hood; intelligence
MATHEMATICAL PROJECTS IN DYNAMIC ENVIRONMENT
The purpose of this article is to show that there are no age limits for the use of dynamic mathematical software. There are no limitations on how to use it and the depth of the results. The only limitation lies in the capabilities and imagination of those who...
dynamic mathematical software; ways of use; depth of achievements
PRACTICE-APPLICABLE PROBLEMS IN MATHEMATICS EDUCATION
Exemplary applications are considered in the paper in connection with the mathematical curriculum of high school mathematics education. The proposed problems are in the format of PISA and form skills for modeling different situations.
problem; problem solving; practice-applicable problem; PISA
SOLVING LINEAR EQUATIONS WITH EXCEL
A model is proposed in the paper to solve linear equations with the help of Excel. The solutions of the equations are found on the base of coefficients from the trend line. Work with ordinary fractions is introduced by not complicated automations. A practica...
problem solving; equation; numbers; tables; trendline; macros
TWO INTERESTING INEQUALITIES FOR ACUTE TRIANGLES
The paper considers the proofs of two interesting geometric inequalities for acute triangles.
acute triangle; inequality; orthocentre of a triangle
COMPUTER DISCOVERED MATHEMATICS: AN ALTERNATIVE CONSTRUCTION OF MALFATTI SQUARES
In comparison with (Grozdev, Okumura. & Dekov, 2018) an alternative construction of Malfatti squares is presented.
Malfatti square; geometric construction; Euclidean geometry; computer discovered mathematics; “Discoverer”
PERFECT ISOGONALITY IN QUADRILATERAL
It is considered a transformation in the plane of a quadrilateral, allowing to obtain generalizations of the well-known lines of Gauss and GaussBodenmiller for the complete quadrilateral.
quadrilateral; notable point; line; circle
Еducаtionаl Tеchnologiеs
TWO TRANSFORMATIONS IN THE PLANE OF A QUADRILATERAL AND THEIR APPLICATION
The paper is an elaboration of a high school student under the supervision of Assist. Prof. Stanislav Stefanov. It was awarded first prize in the National round of the International Competition “Methodology and information technologies in Education in Febru...
quadrilateral; remarkable point; line; circle
SOME TYPES OF PROBLEMS WITH SYMMETRIC NUMBERS
The so called “symmetric” numbers are considered in the paper and the authors study some of their various properties. Several interesting questions and problems for numbers of that kind are formulated and some concrete examples are solved. Corresponding genera...
symmetric number; digit; problem; problem solving