20.500.12556/DKUM-68748 Vizualizacija geometrijskih problemov na geoplošči Visualisation of geometric problems on geoboard Učenčevo razumevanje geometrije je odvisno predvsem od njegove prostorske predstavljivosti, pri čemer mu učitelj lahko pomaga tako, da ga vodi skozi pet stopenj, ki so podrobneje opisane v prispevku. Prva, t. i. vizualna stopnja je za učence izjemnega pomena, saj na konkretni, neabstraktni ravni spoznavajo osnovne geometrijske pojme. Pri tem nizozemski didaktik Van Hiele predlaga uporabo različnih didaktičnih sredstev. Zagotovo je med temi sredstvi tudi geoplošča, ki jo najpogosteje uporabljamo za raziskovanje osnovnih geometrijskih pojmov. Poleg tega lahko učenci z uporabo geoplošče rešujejo geometrijske probleme in odkrivajo ter raziskujejo zanje nova dejstva. Tako smo pri projektu Spodbujanje kulture raziskovanja in inoviranja pri pouku skozi proces vseživljenjskega učenja učiteljev izvedli raziskavo (Cotič idr., 2010), kjer smo vizualizirali osnovne geometrijske pojme in izgradili problemski pouk geometrije z uporabo geoplošče ter pokazali, da z uporabo geoplošče pri geometriji učenci dobro usvojijo osnovne geometrijske pojme in h geometriji pristopajo problemsko. Primernost našega modela smo preverili z eksperimentom na vzorcu 113 učencev sedmega razreda osnovnih šol. Rezultati naše raziskave bodo uporabni predvsem pri posodobitvi pouka geometrije v tretjem triletju osnovne šole in s tem bodo prispevali k boljšemu geometrijskemu znanju učencev. Pupils’ understanding of geometry largely depends on their spatial perception, and teachers can help them by guiding them through five stages, described in details in our article. The first, i.e., the visual level is of extreme importance for pupils, since they learn about geometric concepts on a concrete, non-abstract level. In this regard, the Dutch didactic expert van Hiele suggests using various didactic materials. Geoboard is certainly one, being most frequently used for researching the basic geometrical concepts. In addition, pupils can solve geometrical problems by using geoboard, as well as discover and study facts which are new to them. Thus, we have visualised basic geometric concepts in our research, and developed problem-based instruction of geometry by using the geoboard, as well as showed that by using geoboard in geometry lessons, pupils can learn the basic geometric concepts properly, and develop problem-based approach to geometry. We have tested the adequacy of our model in an experiment on a sample of 113 pupils attending the seventh grade of elementary school. The results of our research shall be applicable above all in modernisation of geometry teaching in the third cycle of elementary school education and shall consequently contribute to pupils having better knowledge of geometry. matematika geometrija geometrijski problemi učni pripomočki vizualizacija geoplošča geometry teaching and learning geometry problems visualisation geoboard true true true Slovenski jezik Angleški jezik Članek v reviji 2017-10-12 09:57:58 2017-10-12 10:01:47 2024-06-08 03:10:12 2019-07-11 17:03:07 2011 0 0 str. 89-110 št. 4 Letn. 4 dec. 2011 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1855-4431 37.091.6:514 239555072 4214743 1855-4431 URN:SI:UM:DK:YPJKJ0RT http://rei.pef.um.si/images/Izdaje_revije/2011/2011_04_st_4_revija.pdf 1 https://dk.um.si/Dokument.php?lang=slv&id=119657 RAZ_Cotic_Mara_2011.pdf RAZ_Cotic_Mara_2011.pdf 1 1FB6324CE3C318D143B1913A5ABA4662 4acee24fc8a19116fa25d8d65a5ddcac143800cdcc62c5d7d22ccc88ceb8aa46 18dd33d2-249d-11ef-9523-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=180299 Pedagoška fakulteta Revija za elementarno izobraževanje 0 0 0