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List of contents
Preface
Acknowledgments
1. Developing Understanding of Fractions through Visual Models
2. Fractions are Quantities
3. What is the Whole?
4. Equipartitioning
5. Comparing and Ordering Fractions
6. Number Lines and Fractions
7. The Density of Fractions
8. Equivalent Fractions and Comparisons
9. Addition and Subtraction of Fractions
10. Multiplication and Division of Fractions
11. The OGAP Fraction Framework
References
Index
About the author
Marjorie M. Petit is an educational consultant in mathematics instruction and assessment and has provided leadership in the development and ongoing implementation of the Ongoing Assessment Project (OGAP).
Robert E. Laird is a research associate with the Vermont Mathematics Initiative at the University of Vermont and a member of the OGAP leadership team.
Edwin L. Marsden was professor of mathematics and former chair of the department of mathematics at Norwich University.
Caroline B. Ebby, Ph.D is a senior researcher at the Consortium for Policy Research in Education (CPRE), an adjunct associate professor at the Graduate School of Education at the University of Pennsylvania, and a member of the OGAP leadership team.
Summary
A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K- 8 mathematics educators.
Additional text
"…Readers will find children's work presented in the book to be interesting and sometimes intriguing. The work provides insights into difficulties understanding fractions and ways to help children develop a better understanding of concepts. Primarily because of extensive samples of student work, this is a valuable book for mathematics educators involved in K-8 classrooms….Recommended."--CHOICE
"To watch teachers interact with the research and practical suggestions in this book is exhilarating. The real joy, however, is seeing them use this learned knowledge as they instruct their students. This is a book for all of us who have struggled to help students make sense of fractions."--Mary Montgomery Lindquist, Fuller E. Callaway Professor of Mathematics Education, Emeritus, Past President of the National Council of Teachers of Mathematics
"This book is a tour de force in relating research and practice in mathematics education, and as such it should also be of great interest to researchers and graduate students in the field."--Edward A. Silver, William A. Brownell Professor of Education, University of Michigan
