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Walter F. Castro; Jose Wilde Cisneros; Rodolfo Vergel – Discover Education, 2025
Introduction: In this paper, we present how seventh-grade students become aware of rational numbers during mathematics instruction through the social process of objectification when comparing two magnitudes. Methods: Theoretical elements of the Theory of Objectification and the Onto-Semiotic Approach to Mathematical Instruction and Cognition guide…
Descriptors: Instructional Design, Program Implementation, Measurement, Number Concepts
Garet, Michael S.; Wayne, Andrew J.; Stancavage, Fran; Taylor, James; Walters, Kirk; Song, Mengli; Brown, Seth; Hurlburt, Steven; Zhu, Pei; Sepanik, Susan; Doolittle, Fred – National Center for Education Evaluation and Regional Assistance, 2010
Student achievement in mathematics has been a focal concern in the United States for many years. The National Research Council's 2001 report and the recent report of the National Mathematics Advisory Panel (2008) both called attention to student achievement in mathematics, and both called for all students to learn algebra by the end of eighth…
Descriptors: Middle School Teachers, Professional Development, Inservice Teacher Education, Mathematics Instruction