Nogomet u nastavi matematike

master's thesis

• Title (english): Football in mathematics teaching
• Author: Filip Mijač
• Mentor: Franka Miriam Brückler (mentor)
• Committee member: Franka Miriam Brückler (predsjednik povjerenstva)
• Committee member: Slaven Kožić (član povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Committee member: Tomislav Berić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-03-05, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom su diplomskom radu sustavno, prema gradivu matematike za pojedine razrede osnovnih i srednjih škola, opisane razne primjene matematike na nogomet. U prvom poglavlju, koje se tiče razredne nastave matematike, dajemo niz primjera osnovne aritmetike i geometrije u nogometnom kontekstu. U drugom se poglavlju bavimo primjenom matematike viših razreda osnovne škole na nogomet: račun s razlomcima, osnove vjerojatnosti i Pitagorin teorem samo su neke od tema koje se ovdje primjenjuju na situacije iz nogometnog svijeta. U trećem poglavlju opisujemo kako srednjoškolsko (gimnazijsko) matematičko gradivo povezati s nogometom, te ovdje na nogomet, među ostalim, primjenjujemo funkcije, trigonometriju i statistiku.

Abstract (english)

In this diploma thesis we systematically, according to the mathematics content for individual classes of primary and secondary schools, describe various applications of mathematics to football. In the first chapter, which concerns the teaching of mathematics in the first four years of primary school, we give several examples of basic arithmetic and geometry in football context. In the second chapter, we apply upper primary school mathematics to football: fraction arithmetic, basic probability, and the Pythagorean theorem are just some of the topics that we here apply to situations from the football world. In the third chapter, we describe how to connect high school (gymnasium) mathematical content with football, and here we describe, among other, football applications of functions, trigonometry and statistics.

• Keywords: aritmetika; geometrija; osnove vjerojatnosti; Pitagorin teorem; trgonometrija; statistika
• Keywords (english): arithmetic; geometry; basic probability; the Pythagorean theorem; trigonometry; statistics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:892731
• 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: 2021-03-25 12:12:45