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Filloy, Eugenio; Rojano, Teresa; Solares, Armando – Journal for Research in Mathematics Education, 2010
This article centers on studying the progress of algebraic syntax once students have surmounted initial obstacles found in the transition toward symbolic algebra. It specifically analyzes students' progress concerning the operation on the unknown, when the latter is represented by an expression that involves a 2nd unknown. In curricular terms,…
Descriptors: Syntax, Algebra, Mathematics Instruction, Mathematical Concepts
Cooley, Laurel; Trigueros, Maria; Baker, Bernadette – Journal for Research in Mathematics Education, 2007
This article examines a "calculus graphing schema" and the triad stages of schema development from Action-Process-Object-Schema (APOS) theory. Previously, the authors studied the underlying structures necessary for students to process concepts and enrich their knowledge, thus demonstrating various levels of understanding via the calculus…
Descriptors: Developmental Stages, Calculus, Schemata (Cognition), Epistemology