This book makes math education research on ratios & proportions readily accessible to pre-and in-service teachers of grades 6-8. Using extensive samples of student work and based on research gathered in the OGAP, this easy-to-use book demonstrates how students develop understanding and fluency involving ratio & proportion.
This book makes math education research on ratios & proportions readily accessible to pre-and in-service teachers of grades 6-8. Using extensive samples of student work and based on research gathered in the OGAP, this easy-to-use book demonstrates how students develop understanding and fluency involving ratio & proportion.
Marjorie M. Petit is an educational consultant in mathematics instruction and assessment and a co-director of OGAPMath LLC. Robert E. Laird is Co-Director of Teaching, Learning and Research with the Vermont Mathematics Initiative (VMI), a co-director of OGAPMath LLC, and a member of the OGAP National Professional Development Team. Matthew F. Wyneken is an associate professor of mathematics education at the University of Michigan-Flint. Frances R. Huntoon is an educational consultant in mathematics instruction and a member of the OGAP National Professional Development Team. Mary D. Abele-Austin is a middle school math coach and a member of the OGAP National Professional Development Team. Jean D. Sequeira is a middle school math interventionist and a member of the OGAP National Professional Development Team.
Inhaltsangabe
1. Understanding Ratio, Rates, and Proportions 2. Deepening Understanding of Ratio and Proportion Concepts 3.Understanding the OGAP Proportionality Framework and Progression 4. Using the OGAP Ratio and Proportion Progression to Inform Instruction and Student Learning 5. Structures in Proportion Problems 6. Structures in Ratio and Rate Problems 7. More Problem Contexts 8. Understanding the Cross Products Procedure 9.Percents-Building Understanding, Flexibility and Fluency
1. Understanding Ratio, Rates, and Proportions 2. Deepening Understanding of Ratio and Proportion Concepts 3.Understanding the OGAP Proportionality Framework and Progression 4. Using the OGAP Ratio and Proportion Progression to Inform Instruction and Student Learning 5. Structures in Proportion Problems 6. Structures in Ratio and Rate Problems 7. More Problem Contexts 8. Understanding the Cross Products Procedure 9.Percents-Building Understanding, Flexibility and Fluency
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