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Direct linkMuzheve, Michael T.; Capraro, Robert M. – Journal of Mathematical Behavior, 2012
Using qualitative data collection and analyses techniques, we examined mathematical representations used by sixteen (N=16) teachers while teaching the concepts of converting among fractions, decimals, and percents. We also studied representational choices by their students (N=581). In addition to using geometric figures and manipulatives, teachers…
Descriptors: Geometric Concepts, Mathematics, Misconceptions, Natural Language Processing
Hackenberg, Amy J.; Tillema, Erik S. – Journal of Mathematical Behavior, 2009
This article reports on the activity of two pairs of sixth grade students who participated in an 8-month teaching experiment that investigated the students' construction of fraction composition schemes. A fraction composition scheme consists of the operations and concepts used to determine, for example, the size of 1/3 of 1/5 of a whole in…
Descriptors: Numbers, Concept Formation, Grade 6, Mathematics Instruction
