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Kieren, Thomas – 1999
This essay is based on observation and interpretation of the mathematical language of children while they engage in situations involving fractional numbers. This interpretation includes the consideration of various levels of language use, informal metamorphic and metonymic uses of fractional number language, and the interplay between language use…
Descriptors: Arithmetic, Cognitive Structures, Elementary Education, Epistemology

Ball, 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