Podjela na jednake dijelove pomoću origamija

master's thesis

• Author: Maja Bunetić
• Mentor: Franka Miriam Bruckler (mentor)
• Committee member: Franka Miriam Bruckler (predsjednik povjerenstva)
• Committee member: Marcela Hanzer (član povjerenstva)
• Committee member: Snježana Lubura Strunjak (član povjerenstva)
• Committee member: Vanja Wagner (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2020-02-28, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu opisane su metode podjele dužina i kutova na jednake dijelove pomoću presavijanja papira bez rezanja i lijepljenja, tj. pomoću origamija. Rad je podijeljen na četiri poglavlja. U prvom poglavlju su opisane i analizirane egzaktne podjele dužine na jednake dijelove, a to su binarna podjela, metoda dijagonala, metoda rubova i Noma-ova metoda. Drugo poglavlje rada bavi se aproksimativnim podjelama dužina na jednake dijelove: Fujimotova aproksimacija i binarna aproksimacija. U trećem... More poglavlju opisujemo podjele pravog kuta na jednake dijelove kao i neke dodatne konstrukcije kutova, a detaljno je opisana i trisekcija proizvoljnog šiljastog kuta koja je izvediva unutar sustava akisoma origamija iako nije izvediva euklidskim konstrukcijama. Naposljetku, u četvrtom kratkom poglavlju kratko se osvrćemo na primjene origamija u nastavi matematike. Less

Abstract (english)

This thesis describes various methods for dividing a segment or an angle into equal parts using origami. It is divided into four chapters. In the first chapter we describe methods for dividing a segment into equal parts by exact constructions. These methods are: binary division, diagonal method, edge method and Noma’s method. The second chapter is about approximative methods: Fujimoto approximation and binary approximation of dividing a segment into equal parts. The third chapter concerns... More divisions of a right angle and some other angle constructions, as well as the description and analysis of trisecting an angle. The last short chapter concludes this thesis by describing some ideas on using origami in the mathematics classroom. Less

• Keywords: origami; nastava matematike; podjela dužina; podjela kutova
• Keywords (english): origami; teaching mathematics; dividing a segment; dividing an angle
• Language: croatian
• URN:NBN: urn:nbn:hr:217:497918
• 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: 2020-07-22 11:04:03