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master's thesis
Matematički paradoksi
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:029122
Kušec, Emina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Kušec, E. (2022). Matematički paradoksi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:029122

Kušec, Emina. "Matematički paradoksi." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:029122

Kušec, Emina. "Matematički paradoksi." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:029122

Kušec, E. (2022). 'Matematički paradoksi', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:029122

Kušec E. Matematički paradoksi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 November 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:029122

E. Kušec, "Matematički paradoksi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:029122

Metadata
TitleMatematički paradoksi
Title (english)Mathematical paradoxes
AuthorEmina Kušec
MentorVedran Krčadinac (mentor)
Committee memberVedran Krčadinac (predsjednik povjerenstva)
Committee memberGoran Muić (član povjerenstva)
Committee memberMarko Tadić (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-07-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu opisujemo matematičke paradokse iz različitih područja matematike. Paradoks krumpira jedan je od jednostavnijih paradoksa i lako se objašnjava postotnim računom. Zenonov paradoks o Ahileju i kornjači na slikovit način nam pokazuje da suma beskonačno mnogo članova može biti konačna. Rođendanski paradoks idealan je uvod u temu vjerojatnosti, a za nešto kompetentnije učenike koji uče o uvjetnoj vjerojatnosti proučavamo i Monty Hall paradoks. Za matematičko očekivanje zaintrigirat će nas paradoks dvije kuverte, a za cikličke permutacije problem 100 zatvorenika. Na kraju računamo volumen i oplošje Gabrielovog roga pa ih pokušavamo usporediti. Svaki od navedenih paradoksa prilagodili smo nastavi matematike na određenoj razini obrazovanja i time dali ideju nastavnicima kako zainteresirati učenike za spomenuta matematička područja.
Abstract (english)
In this thesis we describe mathematical paradoxes from different areas of mathematics. The potato paradox is one of the simpler paradoxes and is easily explained by a percentage calculation. Zeno's paradox about Achilles and the tortoise visually shows us that the sum of an infinite number of parts can be finite. The birthday paradox is an ideal introduction to the topic of probability, and for somewhat more competent students learning about conditional probability, we also study the Monty Hall paradox. For mathematical expectation we will be intrigued by the paradox of two envelopes, and for cyclic permutations by the problem of 100 prisoners. Finally, we calculate the volume and area of Gabriel's horn and try to compare them. We have adapted each of these paradoxes to the teaching of mathematics at a certain level of education, thus giving teachers an idea of how to interest students in the mentioned mathematical areas.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:029122
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 on2022-09-13 12:26:05