Naslov raziskovalne naloge: TRIKOTNIKI

Raziskovalna naloga o trikotnikih ima dva dela.

Najprej smo pregledale učno snov za posamezne razrede osemletne osnovne šole. Pregledale smo učbenike, ki jih za pouk matematike uporabljajo učenci naše šole. Snov o trikotnikih smo na kratko zapisale. Za vsak razred smo sestavile primerna vprašanja, ki so se navezovala na snov, ki so jo učenci že obravnavali. Naš namen je bil ugotoviti, kako dobro učenci naše šole poznajo snov o trikotnikih, ki so jo že obravnavali. Anketo smo izvedle v februarju in marcu 2002. Odgovore smo analizirale in dobile večinoma pričakovane odgovore.

V drugem delu smo poglobile naše znanje o trikotnikih. Prebrskale smo literaturo in se odločile za tri teme iz zelo obširne snovi o trikotnikih. Zanimalo nas je, katere so vrste trikotnikov, ploščina trikotnika in nekatere znamenite točke, ki jih lahko poiščemo v trikotniku in njegovi okolici. Tako smo ugotovile, da trikotnike lahko delimo glede na notranje kote in glede na stranice. Ugotovile smo, kako izračunamo ploščino trikotnika. Od veliko znamenitih točk trikotnika, ki jih poznamo, smo podrobneje raziskale  višinsko točko, težišče ali točko ravnovesja trikotnika, središče trikotniku včrtane krožnice, središče trikotniku očrtane krožnice, središči trikotniku očrtane in včrtane krožnice v različnih trikotnikih ter Fermatovo točko. Razlage smo dopolnile s primeri in risbami.

Snov za posamezne razrede in podatke o temah, ki smo se jih odločile podrobneje predstaviti, smo poiskale v večih knjigah. Navedle smo njihove naslove, avtorje in ostale podatke, ki smo jih našle.

SUMMARY

We divided our research project into two parts.

First of all we examined subject of teaching of each particular class of primary school. We checked textbooks used at our school for teaching maths. We wrote down short notes about triangles. For each class we worked out appropriate questionnaire on treated topics. We intended to find out, how familiar with the triangles our pupils are. Questionnaire was accomplished in February and March 2002. We analysed the results and mostly all issues were expected.

In the second part we acquired our own knowledge about triangles.  We have checked the literature and decided to pick up three special themes from very extensive subject about triangles. We’ve been interested in different types of triangles, square dimensions and some of particular points we can find in triangle or its surrounding. We have found out that we have different kinds of triangles depended on various types of angels or sides. We have also found out, how the square dimensions are calculated and that the most famous points of triangle are altitude point, centre of gravity, balance points, circumference points (traced and outlined) in different types of triangles and Fermat point. Our explanation was fulfilled with some real examples and drawings.

Our research based on schoolbooks contents and specialised mathematics handbooks. At the end we quoted their authors and titles.