magistrsko delo
Ilija Ilić (Author), Aleksandra Tepeh (Mentor)

Abstract

V magistrskem delu so predstavljene izbrane vsebine iz teorije grafov s poudarkom na dominacijah v grafih in na ravninskih grafih. V teoretičnem delu so navedene vse potrebne definicije, izreki, trditve in dokazi obravnavanih vsebin, ob tem je predstavljena tudi didaktična teorija o izvajanju pouka. V praktičnem delu so nato predstavljeni primeri izbranih obravnav omenjenih vsebin pri pouku v osnovnih in srednjih šolah. Vsebine so zastavljene kot celovita osnova za nadaljnje načrtovanje učnih priprav in zajemajo teoretične razlage, naloge z grafičnim gradivom in rešitvami ter didaktične nasvete za predstavitev vsebin.

Keywords

magistrska dela;dominacija v grafih;ravninski grafi;teorija grafov pri pouku v osnovni in srednji šoli;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [I. Ilić]
UDC: 519.172.2:373.3.091.2(043.2)
COBISS: 24042504 Link will open in a new window
Views: 717
Downloads: 88
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Other data

Secondary language: English
Secondary title: Domination in graphs and planar graphs for the primary and secondary school classroom
Secondary abstract: In this Masters's thesis we discuss chosen topics of graph theory, especially domination in graphs and planar graphs. In theoretical part we listed all of the necessary definitions, theorems, claims and proofs, and also discussed didactic theory of teaching in a class. In the second part we provided examples of discussing above-mentioned topics in elementary and secondary education. Topics are presented as complete basis for further lesson planning and include theoretical explanations, exercises with graphic material and solutions, as well as didactic methods for introducing selected topics.
Secondary keywords: master theses;domination in graphs;planar graphs;graph theory for the primary and secondary school classroom;
URN: URN:SI:UM:
Type (COBISS): Master's thesis/paper
Thesis comment: Univ. v Mariboru, Fakulteta za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: 84 f.
ID: 10949355