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master's thesis
Problematika ekvipotentnosti skupova u školskoj matematici
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:032086
Marijić, Marija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Marijić, M. (2018). Problematika ekvipotentnosti skupova u školskoj matematici (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:032086

Marijić, Marija. "Problematika ekvipotentnosti skupova u školskoj matematici." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:032086

Marijić, Marija. "Problematika ekvipotentnosti skupova u školskoj matematici." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:032086

Marijić, M. (2018). 'Problematika ekvipotentnosti skupova u školskoj matematici', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:032086

Marijić M. Problematika ekvipotentnosti skupova u školskoj matematici [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 November 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:032086

M. Marijić, "Problematika ekvipotentnosti skupova u školskoj matematici", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:032086

Metadata
TitleProblematika ekvipotentnosti skupova u školskoj matematici
AuthorMarija Marijić
MentorDora Pokaz (mentor)
Committee memberDora Pokaz (predsjednik povjerenstva)
Committee memberSanja Varošanec (član povjerenstva)
Committee memberMarko Tadić (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavamo problematiku ekvipotentnosti skupova u srednjoškolskoj matematici. Prvo prikazujemo koliko se o skupovima uči kroz osnovnu i srednju školu te dajemo prikaz kako se ekvipotentnost skupova uvodi u udžbeniku za četvrti razred prirodoslovno-matematičke gimnazije. Nakon toga slijedi pregled osnovnih pojmova, relacija i metoda teorije skupova te prebrojivost racionalnih brojeva dokazujemo pomoću dijagonalnog postupka, Calkin-Wilfova stabla i Stern-Brocotova stabla. Konačno, dajemo i nekoliko primjera ekvipotentnih skupova.
Abstract (english)
In this paper we study the issue of equipotent sets in high school mathematics. Firstly, we show what are students learning about sets in primary school and high school and how equipotent sets are introduced in the last grade of mathematical gymnasium. Further, we give the basic terms, properties and methods of set theory. We give proof that rational numbers are countable using diagonal argument, Calkin-Wilf tree and Stern-Brocot tree. Lastly, we give several examples of equipotent sets.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:032086
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-06-06 11:01:51