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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

Inconsistencies in Preservice Elementary Teachers' Beliefs about Multiplication and Division.

Tirosh, Dina; Graeber, Anna O. – Focus on Learning Problems in Mathematics, 1990

Discussed are preservice elementary teachers' misconceptions and inconsistent beliefs about multiplication and division with decimals. Sources of inconsistencies and recommendations for overcoming inconsistencies are included. (KR)

Descriptors: Abstract Reasoning, Arithmetic, Cognitive Development, Cognitive Structures