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Integrated Column Arithmetic According to Progressive Schematization.

Peer reviewed

Treffers, A. – Educational Studies in Mathematics, 1987

Describes the characteristics of progressive schematization with regard to column multiplication and column division. Contrasts this with column arithmetic based on progressive complexity. Presents a summary of research data concerning column arithmetic. (TW)

Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Division

The Psychological Analysis of Multiplication Procedures.

Davydov, V. V. – Focus on Learning Problems in Mathematics, 1992

Describes the psychological analysis of the instruction of the concept of multiplication in the former Soviet Union. Presents a system of instructional situations in introducing multiplication and the main results of instruction for grade two. (MDH)

Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Elementary Education