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master's thesis
Razvoj temeljnog razumijevanja geometrije
Gazdović, Krunoslav (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group

Cite this document

Gazdović, K. (2016). Razvoj temeljnog razumijevanja geometrije (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:915371

Gazdović, Krunoslav. "Razvoj temeljnog razumijevanja geometrije." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:915371

Gazdović, Krunoslav. "Razvoj temeljnog razumijevanja geometrije." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:915371

Gazdović, K. (2016). 'Razvoj temeljnog razumijevanja geometrije', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 14 August 2020, https://urn.nsk.hr/urn:nbn:hr:126:915371

Gazdović K. Razvoj temeljnog razumijevanja geometrije [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2020 August 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:915371

K. Gazdović, "Razvoj temeljnog razumijevanja geometrije", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:915371

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Metadata
TitleRazvoj temeljnog razumijevanja geometrije
Title (english)Developing Essential Understanding of Geometry
AuthorKrunoslav Gazdović
MentorLjerka Jukić Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Applied Mathematics Research Group)
Osijek
Defense date and country2016-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom radu iznesenu su važne ideje koje nastavniku mogu produbiti postojeće razumijevanje geometrije i koje ga mogu voditi u planiranju i izvedbi sata. Prve tri velike ideje usmjeravaju našu pažnju na način rada u geometriji koji uključuje skice, traženje promjenjivosti i nepromjenjivosti, te oblikovanje denicija. Proces dokazivanja, koji je objašnjen u Velikoj ideji 4, uključuje elemente svih triju početnih velikih ideja. Stvaranje i proučavanje pretpostavki može nas dovesti do formuliranja novih denicija koje sa svoje strane mogu generirati nove skice. Te skice su osnove za ideje dokaza.
Abstract (english)
This paper contains important ideas that teacher can deepen existing understanding of geometry and that it can lead in planning and implementing lessons. The rst three ideas draw attention to the way in which doing geometry involves working with diagram, looking for variance and invariance and formulating denitions. The process of proving, as articulated in Big Idea 4, involves elements of all the rst three big ideas. Making and testing conjectures can lead to formulating new denitions, which may in turn involve generating new diagrams. These diagrams can provide the basis for proof idea.
Keywords
Languagecroatian
URN:NBNurn:nbn:hr:126:915371
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 05:51:38