Fizički modeli poliedara

master's thesis

• Author: Kristina Koščević
• Mentor: Franka Miriam Bruckler (mentor)
• Committee member: Franka Miriam Bruckler (predsjednik povjerenstva)
• Committee member: Mea Bombardelli (član povjerenstva)
• Committee member: Zrinka Franušić (član povjerenstva)
• Committee member: Marko Vrdoljak (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2016-12-02, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Poliedri su geometrijska tijela omeđena mnogokutima. U prvom dijelu rada opisana su osnovna svojstva poliedara i neke njihove poznatije vrste te njihova primjena u nastavi matematike. Glavni dio rada opisuje različite tipove fizičkih modela poliedara. Razlikovali smo pune, bridne i skeletalne modele, a kao načine izrade koristili smo mreže poliedara, origami tehnike presavijanja papira, ispreplitanje papirnatih traka te plastične setove. U radu je dan pregled mreža nekih poliedara kao i slikoviti prikazi postupka izrade modela tehnikom origamija. U konačnici, kako bismo doista uvidjeli koliko je bitno u nastavi matematike koristiti fizičke modele poliedara, nalazi se poglavlje koje govori o prostornom zoru i razvoju geometrijskog mišljenja.

Abstract (english)

Polyhedra are solids bound by polygons. In the first part is description of basic properties of polyhedra and some of their known species and their usage in teaching mathematics. Main part describe different types of physical models of polyhedra. We distinguish full, edge and skeletal polyhedra models. To make the models we used polyhedra nets, origami paper folding techniques, interleaving paper tapes and plastic sets. This work reviews some polyhedra nets as well as images of the process of making some models using origami techniques. Finally, in order to truly realize how important it is to use physical models of polyhedra in teaching mathematics, there is a section that talks about the physical dawn and development of geometric thinking.

• Keywords: poliedri; mnogokuti; nastava matematike; puni modeli; bridni modeli; skeletalni modeli; mreže poliedara; origami tehnike presavijanja papira; ispreplitanje papirnatih traka; plastični setovi; prostorni zor; razvoj geometrijskog mišljenja
• Keywords (english): polyhedra; polygons; teaching mathematics; full polyhedra models; edge polyhedra models; skeletal polyhedra models; polyhedra nets; origami paper folding techniques; interleaving paper tapes; plastic sets; physical dawn; development of geometric thinking
• Language: croatian
• URN:NBN: urn:nbn:hr:217:397355
• 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: Closed access
• Created on: 2018-02-27 12:46:51