Please use this identifier to cite or link to this item: https://olympias.lib.uoi.gr/jspui/handle/123456789/17844
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dc.contributor.authorVamvakoussi, X.en
dc.contributor.authorChristou, K. P.en
dc.contributor.authorMertens, L.en
dc.contributor.authorVan Dooren, W.en
dc.date.accessioned2015-11-24T18:45:00Z-
dc.date.available2015-11-24T18:45:00Z-
dc.identifier.issn0959-4752-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/17844-
dc.rightsΠανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών Αγωγής. Παιδαγωγικό Τμήμα Νηπιαγωγών-
dc.subjectConceptual changeen
dc.subjectRational numbersen
dc.subjectDensity propertyen
dc.titleWhat fills the gap between discrete and dense? Greek and Flemish students’ understanding of densityen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryhttp://dx.doi.org/10.1016/j.learninstruc.2011.03.005-
heal.identifier.secondaryhttp://www.sciencedirect.com/science/article/pii/S0959475211000259-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιώνel
heal.publicationDate2011-
heal.abstractIt is widely documented that the density property of rational numbers is challenging for students. The framework theory approach to conceptual change places this observation in the more general frame of problems faced by learners in the transition from natural to rational numbers. As students enrich, but do not restructure, their natural number based prior knowledge, certain intermediate states of understanding emerge. This paper presents a study of Greek and Flemish 9th grade students who solved a test about the infinity of numbers in an interval. The Flemish students outperformed the Greek ones. More importantly, the intermediate levels of understanding—where the type of the interval endpoints (i.e., natural numbers, decimals, or fractions) affects students’ judgments—were very similar in both groups. These results point to specific conceptual difficulties involved in the shift from natural to rational numbers and raise some questions regarding instruction in both countries.en
heal.journalNameLearning and Instructionen
heal.journalTypepeer-reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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