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master's thesis
Zaključivanje i razumijevanje u geometriji i algebri
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:383685
Stanić, Sara
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Stanić, S. (2017). Zaključivanje i razumijevanje u geometriji i algebri (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:383685

Stanić, Sara. "Zaključivanje i razumijevanje u geometriji i algebri." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:383685

Stanić, Sara. "Zaključivanje i razumijevanje u geometriji i algebri." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:383685

Stanić, S. (2017). 'Zaključivanje i razumijevanje u geometriji i algebri', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:383685

Stanić S. Zaključivanje i razumijevanje u geometriji i algebri [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:383685

S. Stanić, "Zaključivanje i razumijevanje u geometriji i algebri", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:383685

Metadata
TitleZaključivanje i razumijevanje u geometriji i algebri
AuthorSara Stanić
MentorIvan Matić (mentor)
Committee memberMihaela Ribičić Penava (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberLjerka Jukić Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-09-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Zaključivanje i razumijevanje smisla proučavanog sadržaja predstavljaja temelj matematike. Rekonstrukcijom matematičkih programa u školama povećava se učenikov razvoj u sadržajnom i proceduralnom znanju koji je potreban učenicima kako bi bili uspješni u nastavku učenja matematike i u svojim životima. Zaključivanje i razumijevanje matematičkih sadržaja su nerazdvojni u razvoju matematičke kompetencije te su usko povezani. Zaključivanje u matematici zahtjeva veću razinu razumijevanja. Povezivanje nastavnih jedinica predstavlja najbolju strategiju kojom učenici mogu razumiti cilj lekcije. Geometrija nudi mnoge mogućnosti za razvoj navika zaključivanja kroz različite zanimljive primjere. Ključni elementi zaključivanja i razumijevanja geometrije obuhvaćaju pretpostavke o geometrijskim objektima, oblikovanje i vrednovanje geometrijskih argumenata, različite geometrijske pristupe te geometrijske veze i modele. Ključni elementi zaključivanja u algebri su smislena uporaba simbola, promišljena manipulacija, argumentirano rješavanje zadataka, povezivanje s geometrijom te povezivanje izraza i funkcija. Dugoročni cilj učenja algebre je lakoća manipuliranja algebarskim izrazima.
Abstract (english)
Reasoning and sense making of content that a person study represents the foundation of mathematics. Reconstruction of mathematical programs in schools increases students development in procedural way that is esential for successfull extension of the process of learning mathematics. Reasoning and sense making of mathematical content are inseparable in development of mathematical competence and are closely related. Reasoning in mathematics demands higher level of understanding. Connecting lectures represents the best strategy for understanding the point of lecture. Geometry offers many opportunities for development of reasoning habits through different interesting examples. The key elements for reasoning and sense making of geometry covers conjectures about geometric objects, construction and evaluation of geometric arguments, multiple geometric approaches and geometric connections and modeling. The key elements of reasoning with algebra are meaningful use of symbols, mindful manipulation, reasoned solving, conecting algebra with geometry and linking expressions and functions. Long term purpose of studying algebra is algebraic expression manipulating with easiness.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:383685
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 on2017-11-10 09:05:59