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master's thesis
Vizualizacije u matematici
2018. urn:nbn:hr:126:566630
Matić, Jelena
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Matić, J. (2018). Vizualizacije u matematici (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:566630

Matić, Jelena. "Vizualizacije u matematici." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:566630

Matić, Jelena. "Vizualizacije u matematici." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:566630

Matić, J. (2018). 'Vizualizacije u matematici', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 18 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:566630

Matić J. Vizualizacije u matematici [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2024 November 18] Available at: https://urn.nsk.hr/urn:nbn:hr:126:566630

J. Matić, "Vizualizacije u matematici", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:566630

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Metadata
TitleVizualizacije u matematici
Title (english)Visualisations in Mathematics
AuthorJelena Matić
MentorIvan Matić (mentor)
Committee memberLjerka Jukić Matić (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberTomislav Marošević (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2018-11-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom diplomskom radu prikazani su dokazi nekih matematičkih tvrdnji pomoću slika, preko kojih bi se učenicima u osnovnim pa i u srednjim školama mogao probuditi interes za proučavanje matematike. Počinjemo prikazivanjem brojeva preko poznatih objekata te preko duljine dužina, a zatim upoznavajući se sa popločavanjima ravnine u kojima uvodimo neke vrste poliomina, dotićemo se dokaza Teorema četiri boje. Za kraj odlazimo u tri dimenzije, odnosno rješavamo probleme koji se u ravnini čine nerješivi, no pogledamo li izvan okvira, tj. u prostoru, vrlo lako dolazimo do rješenja.
Abstract (english)
In this graduate thesis, some proofs of mathematical claims are illustrated with the help of images i.e. illustrations by which students in elementary and secondary schools could awaken interest for studying and elaborating mathematics. We begin by displaying numbers by graphical elements and over lengths of segments and then getting familiar with tiling of the plane in which we introduce some types of polyominos, which leads to mentioning some parts of the Four color theorem proof. Lastly we discuss about three dimensions, apropos we solve problems which in plane seem unsolvable, but if we look out of the box, i.e. in space, we can reach the solution very easy
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:566630
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-12-03 07:28:22