“We know that regular use of formative assessment is an essential part of effective instruction, but we know far less about how to help teachers make this a reality in their classrooms. In this highly practical and readable book, Fennell, Kobett, and Wray get right down into the detail of what good formative assessment looks like in math classrooms, and show how teachers can make this a part of their regular planning and instruction. They also include the voices of real teachers, the challenges they faced in taking these ideas on board, and the way that they have taken the basic ideas of formative assessment and made them a living reality in their classrooms. This is a “must-read” book for anyone who teaches math.”

Dylan Wiliam, Emeritus Professor of Educational Assessment, University College London

“This book is a gem. Fennell, Kobett, and Wray don’t just provide advice on what to do; they provide you the tools you need to implement specific formative assessment techniques in your classroom.”

Matt Larson, President, National Council of Teachers of Mathematics

“The Formative 5 could be added to the list of ‘Fab 5s’—each of the chapters provides fabulous examples, tools, and discussion for implementing a comprehensive formative plan in your classroom. A valuable resource for individual use, collaborative learning communities, book study, and lesson study—beneficial to preservice teachers through master teachers.”

Jennifer M. Bay-Williams, Mathematics Teacher Educator, University of Louisville

“Formative assessment is an invaluable way to learn about students’ mathematical understandings and to guide instruction that focuses on student needs rather than on content. In The Formative 5, Fennell, Kobett, and Wray share five powerful protocols that help teachers embed formative assessment in daily instruction and how—when used individually or together—they guide next instructional moves. A great resource for every math teacher!”

Linda Gojak, Past President, National Council of Teachers of Mathematics and author of The Common Core Mathematics Companions, grades K-2 and 3-5

“This book is so valuable because it gives the techniques that can help build formative assessments for any mathematical content, at any grade, for any learner. There are actual vignettes of classroom instruction and the stories from the field bring the material alive and provide testimony to the book’s ultimate effectiveness.”

Karen Karp, Visiting Professor, School of Education, Johns Hopkins University

“The authors take the mystery out of formative assessment by providing a set of concrete strategies, rich grade-level examples that bring the strategies to life, and a set of tools to help teachers plan for and implement the strategies in the classroom. The Formative 5 provides a powerful way of seamlessly linking assessment and instruction. A must have for K-8 mathematics teachers!”

Margaret S. Smith, Co-Author, University of Pittsburgh & Co-Author of 5 Practices for Orchestrating Productive Mathematics Discussions

"The Formative 5: Everyday Assessment Techniques for Every Math Classroom is a much needed practical resource that will help teachers understand and be able to use formative assessment on a daily basis. The book suggests powerful techniques and tools for monitoring and impacting student learning. The well-crafted examples and student work samples are incredibly useful."

Ruth Harbin Miles, Author, Former K–12 Supervisor of Mathematics, Olathe District Schools & Author of The Common Core Mathematics Companions, Grades K–2, 3–5, and 6–8

“Formative assessment is one of the most effective, but poorly understood, instructional approaches. This useful book clarifies formative assessment and provides the tools teachers need to put it into practice. As we describe the ‘formative years’ as having a deep and lasting effect on children’s development, formative assessment seen as a core teaching strategy can have a profound and permanent effect on teachers’ practice and their students’ learning. The Formative 5 will help educators do just that.”

Douglas H. Clements, Executive Director, Marsico Institute for Early Learning and Literacy

“This book meets teachers where they are by providing immediately implementable, practical advice for formatively assessing students. These are not theoretical ideas as they come from the experiences of three authors who have been using and refining these techniques for years.”

Robert Kaplinsky, Math Teacher Specialist, Downey Unified School District, Downey, CA

“The Formative Five outlines the best way to seamlessly intertwine formative assessment, lesson planning, and instruction for all grade levels. Using five practical formative assessment strategies, this resource supports teachers as they build a comprehensive picture of every student’s mathematical understandings and misconceptions. Definitely, a must-have resource for all mathematics classrooms!”

Sherry Parrish, Author, Author of Number Talks: Whole Number Computation and Number Talks: Fractions, Decimals, and Percentages

“The Formative Five will not only help teachers deepen their understanding of formative assessment, but it provides them with concrete tools to implement each of the five formative assessment techniques to move students’ learning forward. Through their wealth of experiences working with teachers, students, and leaders, the authors have grounded their guidance in examples and vignettes that allow readers to ‘see’ how the techniques can be implemented in classrooms, making the book very accessible. I look forward to using it with both in-service and pre-service teachers with whom I work.”

Robert Q. Berry, III, Ph.D., Associate Professor, Curry School of Education, University of Virginia & President-Elect, National Council of Teachers of Mathematics

“A great resource for math educators! The easy to read format, practical suggestions, and ready-to-use tools give teachers what they need to engage in their own professional learning. I am also excited about the potential impact on teaching and learning for those leaders in our district who take the time to use this resource during their professional learning experiences.”

Christopher R. Horne, Ph.D., Curriculum Specialist for Elementary Mathematics, Frederick County Public Schools

“I am so excited about integrating The Formative Five into our district’s ongoing work with formative assessment. This practitioner friendly resource provides math educators 5 ready to use formative assessment techniques complete with planning tools, examples and many other useful resources that our district’s professional learning communities will use as we continue our work in the teaching and learning of mathematics.”

Angela Waltrup, Content Specialist, Elementary Mathematics,, Washington County Public Schools, MD

“The Formative 5 explains why formative assessment is the lifeblood of all good instruction and then provides practical strategies that teachers can start using tomorrow. Fennell, Kobett, and Wray have given math teachers the best sort of gift—one that serves their students.”

Eric Westendorf, Co-founder & CEO, LearnZillion

“The Formative 5 is easy to read and full of specific assessment strategies that can stand alone or be used in concert. The ideas outlined in this book can be used on a daily basis to inform instructional decision making. The grade level examples of each of the assessment strategies, video examples, and professional learning discussion questions are perfect for use in a pre-service teacher education program, in service professional learning environment, or school-based PLC.”

Kyndall Brown, Executive Director, California Mathematics Project, UCLA