Volume III , issue 1 ( 2000 ) | back |

On mathematical formalism in high school curricula | 1$-$14 |

**Abstract**

Reflections of A. Ya\. Khinchin (1894--1959) on: mathematical formalism; the need for proper connection between the content of mathematical facts and their outward, superficial descriptions; the three levels of mathematical knowledge and connections between them.

**Keywords:** Mathematical formalism, source, object of research, tools.

**MSC Subject Classification:** 00A35

Selected chapters from algebra, III/2 | 15$-$40 |

**Abstract**

This paper is the continuation of the third part of the publication ``Selected chapters of algebra'', the first two being published in previous issues of the Teaching of Mathematics, Vol\. I (1998), 1--22, and Vol\. II, 1 (1999), 1--30, and the beginning of this part in Vol\. II, 2 (1999), 65--80.

**Keywords:** Algebra of sets, probability theory, Bernoulli's scheme,
Chebyshev inequalities.

**MSC Subject Classification:** 00A35

A broader way through themas of elementary school mathematics, III | 41$-$51 |

**Abstract**

In contrast to an existing tendency, the teaching procedures related to the block of numbers 1--20 are considered with nicety of detail. Interdependence of addition and subtraction is treated with a differentiation of syntactic matters from those semantic. A comparison of matching and counting is also included in order to show why matching alone would not lead to the building of the system of natural numbers.

**Keywords:** Block of numbers 1--20, interdependence of
addition and subtraction, matching and counting.

**MSC Subject Classification:** 00A35

A method for obtaining asymptotes of some curves | 53$-$59 |

**Abstract**

We describe a quick and a simple method for obtaining the asymptotes of the curve $F(x,y)=0$, where $F(x,y)$ is a polynomial in $x$ and $y$, with emphasis on second order polynomials. Using this method we obtain a simple classification of second order curves.

**Keywords:** Asymptotes, curves, second order curves.

**MSC Subject Classification:** 00A35

10th Congress of Yugoslav Mathematicians | 61 |

**Abstract**

The 10th Congress of Yugoslav Mathematicians was held in Beograd, January 21--24, 2001. The opening ceremony was completed with plenary lectures by two outstanding Yugoslav mathematicians, at this time working abroad, Stevo Todorčević from the University of Paris VII and Judita Cofman from the University of Erlangen. Scientific activities in eleven sections (Logic, Algebra, Geometry and Topology, Real and Complex Analysis, Functional Analysis and Operator Theory, Differential Equations, Combinatorics and Graph Theory, Probability and Statistics, Numerical Analysis and Optimization, Computer Sciences, Applied Mathematics) gave opportunities to the participants to present some of their recent original contributions in relevant fields. Four round tables were organized.

**MSC Subject Classification:** 00A35