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Ding, Meixia; Li, Xiaobao; Capraro, Mary M. – Journal of Mathematical Behavior, 2013
This study examines preservice elementary teachers' (PTs) knowledge for teaching the associative property (AP) of multiplication. Results reveal that PTs hold a common misconception between the AP and commutative property (CP). Most PTs in our sample were unable to use concrete contexts (e.g., pictorial representations and word problems) to…
Descriptors: Preservice Teachers, Elementary School Teachers, Multiplication, Elementary School Mathematics
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Muzheve, 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