master's thesis
Developing Essential Understanding of Geometry

Krunoslav Gazdović (2016)
Sveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Zavod za primijenjenu matematiku
Katedra za primijenjenu matematiku
Metadata
TitleRazvoj temeljnog razumijevanja geometrije
AuthorKrunoslav Gazdović
Mentor(s)Ljerka Jukić Matić (thesis advisor)
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.
Parallel title (English)Developing Essential Understanding of Geometry
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Lower level organizational unitsZavod za primijenjenu matematiku
Katedra za primijenjenu matematiku
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Geometry and Topology
Study programme typeuniversity
Study levelintegrated undergraduate and graduate
Study programmeMathematics and Computer Science
Academic title abbreviationmag. educ. math. et inf.
Genremaster's thesis
Language Croatian
Defense date2016-09
Parallel 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.
Parallel keywords (Croatian)geometrija definicija
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:915371
CommitterMirna Šušak Lukačević