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master's thesis
Osnovna znanja o realnim brojevima u nastavi matematike
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. urn:nbn:hr:126:127511
Klarić, Matea
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

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Klarić, M. (2016). Osnovna znanja o realnim brojevima u nastavi matematike (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:127511

Klarić, Matea. "Osnovna znanja o realnim brojevima u nastavi matematike." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:127511

Klarić, Matea. "Osnovna znanja o realnim brojevima u nastavi matematike." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:127511

Klarić, M. (2016). 'Osnovna znanja o realnim brojevima u nastavi matematike', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 August 2024, https://urn.nsk.hr/urn:nbn:hr:126:127511

Klarić M. Osnovna znanja o realnim brojevima u nastavi matematike [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2024 August 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:127511

M. Klarić, "Osnovna znanja o realnim brojevima u nastavi matematike", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:127511

Metadata
TitleOsnovna znanja o realnim brojevima u nastavi matematike
AuthorMatea Klarić
MentorLjerka Jukić Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2016-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu opisana su svojstva skupa realnih brojeva, počevši od prirodnih brojeva. Na samom početku razmatraju se osnovna svojstva komutativnosti, asocijativnosti i distributivnosti množenja prema zbrajanju te potreba za njihovim definiranjem. Dani su odgovori na učestala pitanja koja učenici postavljaju tijekom školovanja. Prvo poglavlje završava temeljnim pravilima vezanim uz razlomke, na koje se onda nastavlja pregled koncepata ključnih za daljnji razvoj skupa realnih brojeva. Takoder su opisane osnovne karakteristike decimalnog zapisa realnih brojeva kao što su periodičnost i jedinstvenost. U radu je dotaknuta i tema kardinalnosti, prilikom opisivanja važnog svojstva skupa realnih brojeva – prebrojivosti. I kao posljednje, navedeni su neki od bitnih teorema, koji su sveprisutni u podučavanju algebre, kao i njihovi dokazi.
Abstract (english)
This paper describes the rules for the real number system, starting from the natural numbers. At the beginning, the basic commutative, associative and distributive laws are considered; along with the need for their definition. Answers to the common questions that students ask during education are offered. The first chapter ends with fundamental rules related to fractions, continuing with the review of the key concepts for the further development of the real number system. Also, the main characteristics of decimal notation of real numbers such as periodicity and uniqueness are described. The paper addresses the topic cardinality when describing important property of the real number system – countability. Finally, some of the most important theorems, which are ubiquitous in the teaching of algebra end their evidence are mentioned.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:127511
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2016-09-21 07:43:27