Dodatne teme u srednjoškolskoj nastavi matematike - Teorija grafova

master's thesis

• Author: Monika Mišolić
• Mentor: Željka Milin-Šipuš (mentor)
• Committee member: Željka Milin-Šipuš (predsjednik povjerenstva)
• Committee member: Miljenko Huzak (član povjerenstva)
• Committee member: Ozren Perše (član povjerenstva)
• Committee member: Zvonimir Bujanović (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2017-11-29, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Teorija grafove grana je matematike koja je otkrivena zahvaljujući potrebi da se riješi problem sedam mostova Königsberga. Taj problem riješio je Leonhard Euler u prvoj polovici 18. stoljeća te se stoga on smatra osnivačem teorije grafova. Ova grana matematike, iako nije dio redovne nastave matematike u srednjoj školi, lako je primjenjiva u nastavi. Jednostavno ju je povezati sa stvarnim životom budući da su njeni osnovni pojmovi, poput puta, povezanosti, šetnje, poznati iz svakodnevice te bi kao takva vrlo brzo postala i bliska učenicima. U ovom diplomskom radu, nakon potrebne teoretske podloge kojom nastavnik mora vladati, izložene su ideje aktivnosti koje bi se mogle provesti na fakultativnoj nastavi matematike u srednjoj školi.

Abstract (english)

Graph theory is the branch of mathematics which was discovered thanks to the necessity to solve problem The Seven Bridges of Königsberg. Leonhard Euler solved the problem in first half of 18th century and that is why he is considered to be founder of the graph theory. This branch of mathematics, although it is not a part of a regular high school program for mathematics, can be easily used in teaching. It is easy to connect it with real life considering that its basic terms, like path, correlation, walk, are well known from everyday life and that is why it would become really close to students. In this thesis, after exposing the needed mathematical theoretical background for every teacher, we list activity ideas that could be incorporated in optional high school teaching of mathematics.

• Keywords: nastava matematike; srednja škola; teorija grafova; Euler; Königsberg; aktivnosti
• Keywords (english): teaching mathematics; high school; middle school; graph theory; Euler; Königsberg; activities
• Language: croatian
• URN:NBN: urn:nbn:hr:217:594238
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2018-05-28 11:19:33