## 15. ÖMG-Kongress

Jahrestagung der Deutschen Mathematikervereinigung

#### 16. bis 22. September 2001 in Wien

**Sektion 16 - Mathematik im Unterricht und in der Öffentlichkeit**

Donnerstag, 20. September 2001, 16.00, Hörsaal NIG I

**Main Geometry Technics in Mathematical Olympiads**
**Agnis Andzans**, **University of Latvia, Riga**
(Koautoren: Ilze France, Liga Ramana)

Mathematical olympiads have become an important part of advanced
mathematical education in many countries. Among other positive features they
regularly provide fresh ideas to mathematical educational community. During
last years the amount of problems on competitions at international level is
spread approximately equally between algebra, geometry, combinatorics and
number theory. The general success of a contestant correlates well with that
in the geometry. Therefore the analysis of most appropriate methods is of
some interest for at least ``olympiad professionals''.
In the report the classes of ``qualitative'' and ``quantitative'' methods are
introduced and characterized. Different approaches to geometry in the
olympiads of Western world and Eastern Europe (cf.[1],[2]) are described.
Latvian experience of advanced teaching of geometry is considered (cf.[3]).

[1] |
T.Andreescu, R.Gelca. Mathematical Olympiad Challenges. Birkhauser,
2000. |

[2] |
V.Prasolov. Problems in Geometry 1-2 (in Russian). Nauka, 1991. |

[3] |
A.Andzans, E.Falkensteine, A.Grava. Geometry for Middle School 1-4 ( in
Latvian ). Zvaigzne ABC, 1992-1997. |

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