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master's thesis
Dodatne teme za nastavu matematike u osnovnoj školi
Split: University of Split, Faculty of Science, 2022. urn:nbn:hr:166:283107
Simić, Marina
University of Split
Faculty of Science
Department of Mathematics

Institutional repository: Repository of Faculty of Science

Cite this document

Simić, M. (2022). Dodatne teme za nastavu matematike u osnovnoj školi (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:283107

Simić, Marina. "Dodatne teme za nastavu matematike u osnovnoj školi." Master's thesis, University of Split, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:166:283107

Simić, Marina. "Dodatne teme za nastavu matematike u osnovnoj školi." Master's thesis, University of Split, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:166:283107

Simić, M. (2022). 'Dodatne teme za nastavu matematike u osnovnoj školi', Master's thesis, University of Split, Faculty of Science, accessed 07 January 2025, https://urn.nsk.hr/urn:nbn:hr:166:283107

Simić M. Dodatne teme za nastavu matematike u osnovnoj školi [Master's thesis]. Split: University of Split, Faculty of Science; 2022 [cited 2025 January 07] Available at: https://urn.nsk.hr/urn:nbn:hr:166:283107

M. Simić, "Dodatne teme za nastavu matematike u osnovnoj školi", Master's thesis, University of Split, Faculty of Science, Split, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:166:283107

Metadata
TitleDodatne teme za nastavu matematike u osnovnoj školi
Title (english)Additional topics for mathematics education in elementary school
AuthorMarina Simić
MentorSnježana Braić (mentor)
Committee memberSnježana Braić (predsjednik povjerenstva)
Committee memberJelena Pleština (član povjerenstva)
Committee memberŽeljka Zorić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2022-10-26, 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
Cilj ovog rada je obraditi i proučiti dodatne teme iz matematike koje se pojavljuju na matematičkim natjecanjima, ali se ne obrađuju na redovnoj nastavi. Rad je zamišljen kao radni priručnik za dodatnu nastavu. Svaka tema se prvo opisuje, potom se rješava nekoliko zadataka s primjenom teme te se potom obrađuju zadaci s natjecanja. Na početku ćemo reći ponešto o samoj pripremi i edukaciji učitelja za dodatnu nastavu. Predložit ćemo i mogućnosti poboljšanja pripreme učitelja. Potom ćemo se upoznati s metodom uzastopnih približavanja te Gaussovom dosjetkom. Naučit ćemo što je to Dirichletov princip, te kako ga primjenjujemo. Pojasnit ćemo i što su diofantske jednadžbe te gdje ih koristimo, a na kraju ćemo se upoznati s logičkim i kombinatornim zadacima te zadacima s prebrojavanjima.
Abstract (english)
The goal of this master thesis is to interpret and study additional topics in mathematics that appear in mathematics competitions but are not covered in regular classes. A thesis is intended to serve as a teacher’s handbook for advanced mathematics classes. Each topic is described, and the description is followed by several solved tasks with the application of the topic and eventually the tasks from the competitions are presented and solved. At the beginning, we will say something about the preparation and education of teachers for teaching in advanced classes. We will also give suggestions on how to improve teacher training. Then we will learn about the method of successive approximations and Gauss's Trick. We will learn what the Dirichlet principle is, and how we apply it. We will also explain what Diophantine equations are and where we use them, and at the end we will get acquainted with logical and combinatorial tasks and tasks with counting.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:283107
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 conditionsOpen access
Terms of useLicence Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) icon
Created on2023-02-17 14:00:54