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master's thesis
Racionalna funkcija u nastavi matematike
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:437649
Vojnović, Maja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Vojnović, M. (2022). Racionalna funkcija u nastavi matematike (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:437649

Vojnović, Maja. "Racionalna funkcija u nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:437649

Vojnović, Maja. "Racionalna funkcija u nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:437649

Vojnović, M. (2022). 'Racionalna funkcija u nastavi matematike', Master's thesis, University of Zagreb, Faculty of Science, accessed 14 October 2024, https://urn.nsk.hr/urn:nbn:hr:217:437649

Vojnović M. Racionalna funkcija u nastavi matematike [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 October 14] Available at: https://urn.nsk.hr/urn:nbn:hr:217:437649

M. Vojnović, "Racionalna funkcija u nastavi matematike", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:437649

Metadata
TitleRacionalna funkcija u nastavi matematike
Title (english)Rational function in mathematics teaching
AuthorMaja Vojnović
MentorEva Špalj (mentor)
Committee memberEva Špalj (predsjednik povjerenstva)
Committee memberŽeljka Milin Šipuš (član povjerenstva)
Committee memberSlaven Kožić (član povjerenstva)
Committee memberAna Prlić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-03-04, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu obrađena je racionalna funkcija u nastavi matematike. To je elementarna funkcija koja je dio kurikula za nastavni predmet matematika u srednjoj školi, ali pomalo zapostavljena u nastavi. Obrađen je pojam racionalne funkcije te njena svojstva počevši od obrnute proporcionalnosti do funkcije s kvadratnim izrazom u brojniku i nazivniku. Posebno je istražen utjecaj koeficijenata na graf pripadne funkcije te su izrađeni metodički materijali pomoću kojih učenici mogu samostalno, ali i uz pomoć programa dinamične geometrije, istraživati svojstva racionalnih funkcija. Na kraju, dan je projektni zadatak koji objedinjuje sve spoznaje o svojstvima racionalne funkcije, ali i prikazuje primjenu iste u medicini.
Abstract (english)
In this master’s thesis, the rational function in the teaching of mathematics is treated. It is the elementary function that is part of the curriculum for the subject of mathematics in high school, however it is somewhat neglected in teaching. The notion of a rational function and its properties are processed, starting from inverse proportionality to a function with a square expression in a denominator. The influence of coefficients on the graph of the corresponding function was especially investigated, and methodological materials were developed with which students can independently, but also with the help of dynamic geometry programs, investigate the properties of a rational function. Finally, a project task is given that brings together all the knowledge about the properties of a rational function, but also shows the application of the same in medicine.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:437649
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 on2022-04-01 08:33:17