Page 368 - PowerPoint Presentation

DIRIHLEOV PRINCIP. DIRICHLET ′S PRINCIPLE

Učenik: FILIP RISTOSKI VII razred OŠ ”Karađorđe”, Beograd

Mentor: VIOLETA KOMNENOVIĆ, dipl. Matematičar ETŠ ”Nikola Tesla”, Beograd

REZIME

Dirihleov princip spada u jednostavne i vrlo primenljive principe u matematici, razumljiv skoro svakom. Međutim, to je vrlo često

samo prividno jer je za njegovu primenu potrebna određena veština i znanje u prepoznavanju samog zadatka.

Za istraživanje Dirihleovog principa me je podstakla upravo ta jednostavnost pri njegovoj primeni, odnosno tumačenje samog

principa, rasuđivanje i primena logika pri rešavanju zadataka.

Ideja za ovo istraživanje je činjenica da iako je Dirihleov princip jednostavan, primenjuje se kako u osnovnim tako i u srednjim
školama što potvrđuje njegovu bitnu ulogu u matematici. Isto tako izazov je rešavati jedan zadatak koristedi stečeno znanje iz

matematike i primenjivati logiku, što zahteva Dirihleov princip.

Ključne reči: Dirihleov princip, prebrojavanje, razmeštanje

Summary

Dirichlet’s principle is one of the simplest and most applicable principles in mathematics, understandable to almost everyone.
However, application of Dirichlet’s principle requires certain skills and knowledge in the task recognition process.

I was encouraged to research Dirichlet’s principle because of the simplicity of its interpretation, reasoning capacity and problem

solving logic.

The idea of this research is based at the fact that Dirichlet’s principle could be applied to the primary and secondary school

education programes, confirming its importance for mathematical logic. The main research challenge is to resolve mathematical

problems with the acquired mathematical knowledge and logic, using the Dirichlet’s principle.

Key words: Dirichlet’s principle, counting, arrangement