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master's thesis
Površina i volumen u novom kurikulumu matematike
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:807368
Čulina, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Čulina, I. (2021). Površina i volumen u novom kurikulumu matematike (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:807368

Čulina, Ivana. "Površina i volumen u novom kurikulumu matematike." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:807368

Čulina, Ivana. "Površina i volumen u novom kurikulumu matematike." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:807368

Čulina, I. (2021). 'Površina i volumen u novom kurikulumu matematike', Master's thesis, University of Zagreb, Faculty of Science, accessed 11 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:807368

Čulina I. Površina i volumen u novom kurikulumu matematike [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 July 11] Available at: https://urn.nsk.hr/urn:nbn:hr:217:807368

I. Čulina, "Površina i volumen u novom kurikulumu matematike", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:807368

Metadata
TitlePovršina i volumen u novom kurikulumu matematike
Title (english)Area and volume in the new mathematics curriculum
AuthorIvana Čulina
MentorVedran Krčadinac (mentor)
Committee memberVedran Krčadinac (predsjednik povjerenstva)
Committee memberMiljenko Marušić (član povjerenstva)
Committee memberAna Prlić (član povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-04-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Na početku diplomskog rada dan je povijesni pregled razvoja površine i volumena. Zatim su definirani ključni pojmovi iz teorije mjere kao što su \(\sigma\)-algebra i mjera na \(\sigma\)-algebri. Defnirana je Lebesgueova mjera koja na \(\mathbb{R}^2\)predstavlja moderni pojam površine, a na \(\mathbb{R}^3\) predstavlja moderni pojam volumena. Zatim je dana analiza obrade pojmova površine volumena od trećeg razreda osnovne škole do četvrtog razreda gimnazije. Na kraju rada metodički je razrađena obrada opsega i površine s pomoću nastavnog pomagala geoploče.
Abstract (english)
At the beginning of the thesis the historical development of area and volume is given. Then, key terms from measure theory such as \(\sigma\)-algebra and measure on \(\sigma\)-algebra are defined. The Lebesgue measure is defined, on \(\mathbb{R}^2\) representing the modern notion of area and on \(\mathbb{R}^3\) representing the modern notion of volume. Next, the treatment of the concept of area and volume from third grade of elementary school to the fourth grade of high school is analysed. At the end, treatment of perimeter and area with the help of the teaching aid Geoboard is methodically elaborated.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:807368
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 on2021-05-18 11:36:49