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Wilkins, Jesse L. M.; Norton, Anderson; Boyce, Steven J. – Mathematics Educator, 2013
Previous research has documented schemes and operations that undergird students' understanding of fractions. This prior research was based, in large part, on small-group teaching experiments. However, written assessments are needed in order for teachers and researchers to assess students' ways of operating on a whole-class scale. In this study,…
Descriptors: Test Validity, Mathematics Instruction, Mathematical Concepts, Evaluation Methods
Boyce, Steven J.; Wilkins, Jesse L. M.; MacDonald, Beth Loveday – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
An interview with a sixth-grade student illustrates how her number sense and understanding of variability relate to her ability and proclivity to apply a frequentist (statistical) approach to probability tasks. A general suggestion for teaching about mathematics of uncertainty through the gradual strengthening of estimation, as per the historical…
Descriptors: Mathematics Instruction, Middle School Students, Grade 6, Probability