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– Catherine Fosnot
Catherine Fosnot is Professor Emeritus of CCNY and Founding Director of Mathematics in the City.  She has received many awards for her excellence in teaching and is author of Young Mathematicians at Work and Contexts for Learning Mathematics.




“MathRacks support children to move away from counting by ones, towards the use of strategies like doubles, addition, subtraction and making tens—a great way to help automatize the basic facts!”


– Christina Tondevold
Christina Tondevold is a Math Consultant and author of the book “Mastering the MathRack”.




“With the MathRack, children can model and solve problems the same as they would with other manipulatives, but the build-in structure of the MathRack allows children the flexibility to develop more advanced strategies. I’ve seen the number sense that children develop as they work with the MathRack; it is powerful and helps them as they progress through higher levels in mathematics.”


– Jeanine Crockett
Jeanine Crockett is a First Grade / Lead Math Teacher in Naperville, IL

“I have witnessed a significant increase in the understanding of number relationships and their ability to problem solve since using the MathRack in my class.”


– Toni Cameron
Toni Cameron, Director of Professional Development

“The master coaches at Metamorphosis Teaching Learning Communities have been using bead strings in our work with NYC teachers. We have found this model is invaluable for a number of reasons. First, in early childhood, the bead string grouped in fives, has helped students understand place value big ideas. It has also supported the development of computational fluency in addition and subtraction, one of the mainstays of the CCMSS. Second, we have found that the multiplication bead strings have helped students develop key structural ideas (e.g., the idea of equal groups, ratio [two groups of five equals one group of 10], and the connection between multiplication and division) in multiplication and division. We highly recommend these products to anyone who is interested in supporting the development of student thinking in mathematics.”


– Kathy Duarte
Kathy Duarte, 1st grade teacher

“The MathRack Caddy is a very useful holder for our mathracks. It is easy to store and access when we are using our mathracks for our math units. It also keeps them secured, so they do not get damaged. Great Job!”


– Allison Whalen
Allison Whalen, 1st Grade Teacher

“The MathRack Caddy is extremely helpful in keeping my math racks organized. It’s easier to carry and my racks stay protected and safe when I’m not using them. A great tool that will allow me to use my math racks for many years to come.”


– Chrystal Woodcock
Chrystal Woodcock, Library / Media Technician

“As a librarian I am always looking for ways to store and organize things effectively. I was so pleased with the MathRack Caddy. It took our tangled box of student racks and made them easy to pass out and appealing to see sitting on the shelf. Thank you MathRack for creating this storage tool for us!”


– Jane Lloyd
School Team Leader, Australia

“A terrific, user friendly, practical resource which enables teachers to support their students to develop fluency in early number sense through games. These engaging activities include observation statements and tips to extend the children’s skills. This resource also includes formative assessment to determine the next focus for learning and teaching.”


 – Carolyn Moore, Ed.D
Numeracy Coach, South Carolina

“This book is long overdue. Teachers have relied too long on students learning their basic facts through “mindless memorization” rather than teaching students to make connections and identify relationships among numbers. “Fluency through Flexibility” provides teachers the strategies that will enable students to develop automaticity with their basic facts.”


– Jennifer Burkart
K-8 Intervention Specialist, Oregon

“In my position, I have the unique experience to view math recovery efforts at many levels. Number sense, to many, is a vague goal. “Fluency through Flexibility” not only addresses the foundational need to support this understanding, it also builds on decades of research to reveal practical goals, guide-lines and activities that have proven to foster the eighth sense, number sense.”


– Ronda Sams
2nd Grade Teacher

“This book is a must-have for elementary teachers! Math will no longer be a source of misery for children. My class now looks forward to our math sessions and the use of fun tools like the MathRack! I can see a remarkable difference in the level of understanding the kids have. They have become problem solvers who love math!”


– Michelle Brown
1st Grade Teachers

“I can’t believe how much we use our MathRacks. They are so visual. It is exciting to watch students moving the beads in chunks rather than one-by-one like when they started. We are learning everyday that there is more than one way to get to an answer! And it sure beats using connecting cubes.”


– Char Brocke
2nd Grade Teacher

“MathRacks have been effective, efficient tools that help build and strengthen my students’ number knowledge. No longer are math manipulatives turned into distracting toys or building blocks. Instead when using the lessons in this book, students are focused on meaningful interactions with numbers and have become more independent in their strategies to solve mathematical problems.”