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Sirotic, Natasa; Zazkis, Andrina – Educational Studies in Mathematics, 2007
This report focuses on prospective secondary mathematics teachers' understanding of irrational numbers. Various dimensions of participants' knowledge regarding the relation between the two sets, rational and irrational, are examined. Three issues are addressed: richness and density of numbers, the fitting of rational and irrational numbers on the…
Descriptors: Mathematics Teachers, Numbers, Intuition, Secondary School Mathematics
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McLeod, Douglas B.; Adams, Verna M. – 1977
Preservice elementary teachers enrolled in a mathematics course were randomly assigned to one of two treatment groups for instruction on computation in bases other than 10. Group 1 (Min-M) involved minimal guidance and a concrete level of abstraction, while group 2 (Max-S) had a large amount of guidance and dealt with concepts at a symbolic level.…
Descriptors: Cognitive Measurement, Cognitive Style, Discovery Learning, Educational Research