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master's thesis
Matematička analiza u srednjoj školi
2024. urn:nbn:hr:126:055933
Posavac, Boris
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Cite this document

Posavac, B. (2024). Matematička analiza u srednjoj školi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:055933

Posavac, Boris. "Matematička analiza u srednjoj školi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:055933

Posavac, Boris. "Matematička analiza u srednjoj školi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:055933

Posavac, B. (2024). 'Matematička analiza u srednjoj školi', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:055933

Posavac B. Matematička analiza u srednjoj školi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:055933

B. Posavac, "Matematička analiza u srednjoj školi", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:055933

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Metadata
TitleMatematička analiza u srednjoj školi
Title (english)Mathematical Analysis In High School
AuthorBoris Posavac
MentorIvan Matić (mentor)
Committee memberTomislav Marošević (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberLjerka Jukić Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-10-04, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom diplomskom radu uspoređeni su udžbenici dvaju nakladnika u vremenskom razmaku od tridesetak godina, njihove međusobne ali i individualne razlike u sadržaju. Razmatrane su razlike prilikom pojma i zadavanja niza te pristup prilikom definiranja geometrijskog i aritmetičkog niza, ali i limesa niza. Nadalje, promatra se pojam konvergencije reda, te definicija i konvergencija geometrijskog reda. Obraća se pozornost na pristup definiciji limesa funkcije i neprekidnosti funkcije. Posebna pozornost, obraća se na motivacijski pristup definiranju derivacije i integracije funkcije, deriviranju složene funkcije i crtanju grafa funkcije primjenjujući diferencijalni račun, te razlikama u definiranju određenog integrala. Rad se završava analizom ankete Sveučilišta Josipa Jurja Strossmayera u Osijeku, čiji je cilj prikupljanje iskustvava i stavova studenata prvih godina prilikom korištenja udžbenika četvrtih razreda srednje škole.
Abstract (english)
In this thesis, the textbooks of two publishers were compared in a time gap of thirty years, their mutual but also individual differences in content. Differences in the concept and definition of a sequence were considered, as well as the approach to defining a geometric and arithmetic sequence, as well as the limit of a sequence. Furthermore, the concept of series convergence, as well as the definition and convergence of a geometric series, is observed. Attention is paid to the approach to the definition of a limit of a function and function continuity. Special attention is paid to the motivational approach to defining the derivation and integration of a function, deriving a composite functions and drawing a graph of a function using differential calculus, and the differences in defining a definite integral. The paper ends with an analysis of a survey of Josip Juraj Strossmayer University in Osijek, the aim of which is to collect the experiences and attitudes of first-year students when using fourth-grade high school textbooks.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:055933
Study programmeTitle: Graduate program – Mathematics and Informatics Education; specializations in: University Master’s Degree in Mathematics and Computer Science Education (univ. mag. educ. math. et inf.
Course: University Master’s Degree in Mathematics and Computer Science Education (univ. mag. educ. math. et inf.
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistar/magistra edukacije matematike i informatike (magistar/magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-10-25 09:55:31