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Download full textSharma, Mahesh C. – Math Notebook, 1993
The development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…
Descriptors: Arithmetic, Cognitive Development, Concept Formation, Elementary Education
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1983
Abstracts and comments are presented for 11 studies. There are two each on aspects of problem solving, mathematics achievement, and estimation. The remainder cover topics related to cognitive development, cognitive processes, evaluation, numeration, and student errors. Research as reported in RIE and CIJE between July and September 1982 is also…
Descriptors: Cognitive Development, Cognitive Processes, Educational Research, Elementary Secondary Education
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
