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Ünal, Zehra E.; Ala, Asli M.; Kartal, Gamze; Özel, Serkan; Geary, David C. – Journal of Numerical Cognition, 2023
Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities. The study grouped visual representations into two categories: arithmetic-visual, which entailed the use of real-world objects to represent specific…
Descriptors: Grade 9, Algebra, Mathematics Instruction, Algorithms

Fleener, M. Jayne; And Others – 1993
Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…
Descriptors: Abstract Reasoning, Algorithms, Cognitive Development, Formal Operations