ǂThe ǂeffects of the use of the GeoGebra software on geometry contents in initial mathematics education

[M. P. Milikić]

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Predmet rada jeste ispitivanje efekata primene softverskog paketa GeoGebra u učenju sadržaja geometrije u četvrtom razredu osnovne škole na poboljšanje obrazovnih postignuća učenika, trajnost znanja, motivaciju učenika za učenje i ispitivanje stavova učenika i učitelja o paketu GeoGebra. U teorijskom delu rada predstavljene su karakteristike softverskog paketa, prednosti i ograničenja njegove upotrebe prilikom učenja geometrije, kao i specifičnosti geometrijskog mišljenja učenika mlađih razreda osnovne škole. Prikazane su mogućnosti primene softverskog paketa prilikom uvođenja pojma geometrijske figure u ravni i prostoru, kao i doprinos paketa GeoGebra vizuelizaciji pomenutih pojmova. Cilj eksperimentalnog dela bio je da se utvrde i istraže efekti posebno osmišljenog modela učenja na poboljšanje nivoa obrazovnih postignuća učenika, trajnost na taj način stečenih znanja i da se ispitaju stavovi i mišljenja učenika i učitelja o učenju geometrije primenom softvera GeoGebra. Rezultati dobijeni istraživanjem ukazuju na to da realizacija nastave geometrije uz upotrebu softverskog paketa ostvaruje pozitivne efekte na postignuća učenika na sva tri nivoa obrazovnih postignuća, doprinosi povećanju trajnosti znanja i utiče na formiranje pozitivnijih stavova učenika prema geometriji i nastavi matematike uopšte. Dobijeni rezultati pokazali su da primena softvera GeoGebra pomaže učenicima mlađih razreda osnovne škole da lakše vizuelizuju geometrijske pojmove. U dinamičnom GeoGebra okruženju učenici imaju mogućnost manipulisanja objektima, što im omogućava sveobuhvatnije sagledavanje geometrijskih figura, pri čemu ova karakteristika softvera posebno dolazi do izražaja kada su u pitanju geometrijske figure u prostoru.

The subject of the dissertation is the examination of the effects of implementing GeoGebra software package in teaching geometry contents in fourth grade of elementary school on improving students’ academic achievements, durability of their knowledge, their motivation for learning, as well as the examination of both students’ and teachers’ attitudes towards the GeoGebra package. The theoretical part of the paper presents the features of the software package, the advantages and limitations of its use in learning geometry, as well as the specifics of the geometric thinking of junior elementary school students. The possibilities of applying the software package in introducing the concept of plane and space geometric figures are presented, together with the contribution of GeoGebra to students’ ability to visualize the concepts. The aim of the experimental part was to investigate the effects of a specially designed learning model on improving the level of educational achievements of students, the durability of knowledge acquired in this way, and to examine the attitudes of students and teachers towards learning geometry with the use of GeoGebra software. The research results indicate that teaching geometry with the use of the software package has positive effects on students’ achievements at all three levels of educational achievements, contributes to increasing the durability of their knowledge and affects the formation of more positive attitudes of students towards geometry and mathematics in general. The results showed that the application of the GeoGebra software helps junior elementary school students visualize space geometric figures more easily. In the dynamic GeoGebra environment, students have the possibility to manipulate objects, which enables them to better understand geometric figures, especially when it comes to space geometric figures.

geometrija, obrazovni softver, GeoGebra, vizuelizacija, očiglednost, postignuća učenika, trajnost znanja, početna nastava matematike.

geometry, educational software, GeoGebra, visualization, obviousness, student achievement, durability of knowledge, initial mathematics education.

371.3::51]:373.32(043.3) 371.3::51]:004.4(043.3)

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