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master's thesis
Paradoksi teorije vjerojatnosti u nastavi matematike
2021. urn:nbn:hr:166:863738
Grizelj, Lucija
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Grizelj, L. (2021). Paradoksi teorije vjerojatnosti u nastavi matematike (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:863738

Grizelj, Lucija. "Paradoksi teorije vjerojatnosti u nastavi matematike." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:863738

Grizelj, Lucija. "Paradoksi teorije vjerojatnosti u nastavi matematike." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:863738

Grizelj, L. (2021). 'Paradoksi teorije vjerojatnosti u nastavi matematike', Master's thesis, University of Split, Faculty of Science, accessed 16 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:863738

Grizelj L. Paradoksi teorije vjerojatnosti u nastavi matematike [Master's thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 November 16] Available at: https://urn.nsk.hr/urn:nbn:hr:166:863738

L. Grizelj, "Paradoksi teorije vjerojatnosti u nastavi matematike", Master's thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:863738

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Metadata
TitleParadoksi teorije vjerojatnosti u nastavi matematike
Title (english)Paradoxes of Probability Theory in Practice of Teaching and Learning Mathematics
AuthorLucija Grizelj
MentorVesna Gotovac Đogaš (mentor)
Committee memberVesna Gotovac Đogaš (predsjednik povjerenstva)
Committee memberŽeljka Zorić (član povjerenstva)
Committee memberAljoša Šubašić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2021-04-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Interdisciplinary Natural Sciences
Teaching Methods in the Natural Sciences
Abstract
U ovom radu su opisana tri paradoksa iz vjerojatnosti. U svakom paradoksu je opisan njegov problem, rješenje tog problema te njegova primjena u nastavi matematike. Prvi opisani je paradoks Montyja Halla. Kod njega smo zaključili da promjena izbora vrata donosi veću vjerojatnost za osvajanje nagrade. Nadalje, kod paradoksa dviju omotnica, kod igre TEP, smo došli do zaključka da nije najbolje rješenje mijenjati izbor omotnice. I na samom kraju, opisali smo rođendanski paradoks kod kojeg je glavni problem bio odrediti vjerojatnost da dvoje ljudi ima rođendan na isti dan.
Abstract (english)
There are three paradoxes described in this thesis. For each paradox, the problem of the paradox is described, its solution and the implementation in teaching mathematics are presented. Monty Hall paradox is the first one described. The conclusion is that a change in the choice of doors yields a higher probability of winning the award. Furthermore, in the paradox of two envelopes, regarding the game TEP, we derive a conclusion that it is not a very good solution to change the envelope. In the end, we have described the birthday paradox where the main problem is to determine the probability of two people having a birthday on the same day.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:863738
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in teaching
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 conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-04-27 10:34:22