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Carpenter, Thomas P. – 1979
The purpose of this paper is to identify how the theory and techniques of research in cognitive development can be applied to the study of learning and instruction in mathematics. Five basic research paradigms are characterized; major directions of research on number, measurement, geometry, and adolescent reasoning are identified. Most of the…
Descriptors: Cognitive Development, Educational Research, Elementary School Mathematics, Elementary Secondary Education
Carpenter, Thomas P.; Levi, Linda; Farnsworth, Valerie – In Brief, 2000
"In Brief" focuses on K-12 mathematics and science research and implications for policymakers, educators, and researchers seeking to improve student learning and achievement This brief highlights the learning gains of 240 elementary students involved in a long-term study in Madison, Wisconsin and their remarkable ability to reason with arithmetic…
Descriptors: Abstract Reasoning, Algebra, Arithmetic, Educational Change