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Peer reviewedBaroody, Arthur J.; Gatzke, Mary R. – Journal for Research in Mathematics Education, 1991
Explored is young children's ability to estimate set sizes and use reference points such as 10. Results indicated that many children could accurately place sets somewhat smaller than a reference point but had difficulty placing sets somewhat larger than a reference point. (CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Elementary School Mathematics
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
