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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
Arizona Department of Education, 2009
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…
Descriptors: Numeracy, Number Concepts, Grade 3, Mathematics Education
Arizona Department of Education, 2009
Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…
Descriptors: Numeracy, Number Concepts, Grade 5, Mathematics Education

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