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ERIC Number: EJ931903
Record Type: Journal
Publication Date: 2011-Oct
Pages: 10
Abstractor: As Provided
Reference Count: N/A
ISBN: N/A
ISSN: ISSN-0959-4752
What Fills the Gap between Discrete and Dense? Greek and Flemish Students' Understanding of Density
Vamvakoussi, Xenia; Christou, Konstantinos P.; Mertens, Lieve; Van Dooren, Wim
Learning and Instruction, v21 n5 p676-685 Oct 2011
It 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. (Contains 6 tables.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Secondary Education; Grade 9; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Belgium; Greece