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Peer reviewedTreffers, 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
Peer reviewedBall, Deborah Loewenberg – Journal for Research in Mathematics Education, 1990
Analyzed were 19 preservice teachers' understanding of division in 3 contexts. The teachers' knowledge was generally fragmented, and each case of division was held as a separate bit of knowledge. (Author/YP)
Descriptors: Arithmetic, Cognitive Structures, College Mathematics, Division
