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Abrahamson, Dor; Trninic, Dragan; Gutierrez, Jose F.; Huth, Jacob; Lee, Rosa G. – Technology, Knowledge and Learning, 2011
Radical constructivists advocate discovery-based pedagogical regimes that enable students to incrementally and continuously adapt their cognitive structures to the instrumented cultural environment. Some sociocultural theorists, however, maintain that learning implies discontinuity in conceptual development, because novices must appropriate expert…
Descriptors: Feedback (Response), Cognitive Structures, Concept Formation, Cultural Context
Sophian, Catherine; Madrid, Samara – International Group for the Psychology of Mathematics Education, 2003
To examine how conceptual knowledge about fraction magnitudes changes as students' learning progresses, 5th and 7th-grade students were asked to solve fraction magnitude problems that entailed finding a fraction between two given fractions and then to evaluate solutions for similar problems that were modeled for them. When the given fractions…
Descriptors: Grade 7, Grade 5, Mathematics, Mathematical Models

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