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Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4–10

Seven Practices to Maximize Learning

Staff development expert Leslie Laud provides seven research-based practices that show teachers how to implement formative assessment, create tiered instruction, and manage a multitasking classroom.

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Product Details
  • Grade Level: 4-10
  • ISBN: 9781412995245
  • Published By: Corwin
  • Year: 2011
  • Page Count: 168
  • Publication date: June 01, 2012
Price: $33.95
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Description

Seven easy steps to differentiating math instruction for busy teachers

Are you able to support your struggling students while also challenging your high achievers? Research clearly shows the value of using formative assessment to differentiate mathematics instruction, but putting it into practice can be daunting. This book makes it much easier! Staff development expert and former math teacher Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4–10, using strategies ideal for a Response to Intervention (RTI) model. She presents a comprehensive framework of research-based practices that show how to:

  • Get started and establish norms
  • Implement formative assessment
  • Create tiered lessons
  • Manage a multitasking classroom effectively

Tested and enhanced by experienced math teachers, the book's strategies are designed for use in conjunction with any curriculum or textbook. Included are a wealth of practical examples, reproducibles, and student activities—all developed with effective time management in mind. Whether you are just starting or interested in enhancing your mathematics instruction, this book will prove an invaluable resource.


Key features

  • Based on current research on mathematics instructional practices
  • Includes reproducibles that teachers can use immediately with their students.
  • Presents strategies that were designed with time management in mind and can be implemented gradually over time or introduced in the classroom step-by-step in a short period of time.
  • Shows how teachers can adapt and differentiate existing lessons from required curricular texts.
  • Organized and presented in a way that is easily and quickly accessible to busy teachers.
  • Includes brief real-life examples drawn from the author's and reviewers' classrooms, as well as many successful experiences from workshop participants.

Author(s)

Leslie E. Laud photo

Leslie E. Laud
Leslie Laud has differentiated math instruction in her own classroom and in her co-teaching with her math colleagues, and has been doing so for almost two decades. She teaches an online course on Differentiated Middle School Math Instruction at Bank Street College of Education. Additionally, she has presented at many conferences both nationally and internationally, including The National Council of Teachers of Mathematics annual conference. She has also published many articles in leading journals such as Educational Leadership and Teaching Exceptional Children. She currently leads staff development groups with teachers in school systems in the Boston area. She received both her doctorate in curriculum and instruction and her master’s in special education from Teachers College, Columbia University.

Table of Contents

List of Figures

Preface

Acknowledgments

About the Author

1. Getting Started and Establishing Norms

Getting Started

Establishing Class Norms

2. Formative Assessment

What is Formative Assessment?

Where Am I? Involving Students in Self-Assessment

Where Am I Going? Conveying Criteria or Learning Targets

How Will I Get There? Providing Feedback

Impact of Assessment on Confidence and Motivation

3. Tiered Instruction

What Is a Tiered Lesson?

Tiering by Student Characteristics

Tiering by Instructional Characteristics

Tiering Existing Textbook Lessons

Creating a Tiered Lesson

4. Supporting Students Who Are Low Achieving

Differentiating Instruction in Basic Facts

Differentiating for Conceptual Understanding

Differentiating Procedural Support

5. Challenging Students Who Are High Achieving

Exemptions Based on Prior Knowledge and/or Pace of Learning

Opportunities for Higher-Order Math

Strategies to Avoid

Importance of Challenge

6. Time-Saving Management Strategies

Planning Lessons and Units

Managing Students Working on Different Tasks

Assigning Homework

Grading

Wrap-Up

Suggested Resources

References

Index

Reviews

Quote by Douglas B. Reeves, Founder, The Leadership and Learning Center:

"This practical and thought-provoking book offers time-saving strategies essential for every teacher in every discipline. The numerous self-assessments demonstrate that the best formative assessments are not merely given "to" students but are an interactive learning experience involving students, teachers, and professional colleagues."

 

"This practical and thought-provoking book offers time-saving strategies essential for every teacher in every discipline. The numerous self-assessments demonstrate that the best formative assessments are not merely given "to" students but are an interactive learning experience involving students, teachers, and professional colleagues."

 

Douglas B. Reeves, Founder
The Leadership and Learning Center
Quote by Glenda Lappan, University Distinguished Professor, Michigan State University: "Leslie Laud offers practical support for using formative assessments to inform teachers and students. Her book shimmers with real kids, real classrooms, and real teachers, and includes creative activities that provide both differentiated lessons and opportunities for ALL students to learn."
"Leslie Laud offers practical support for using formative assessments to inform teachers and students. Her book shimmers with real kids, real classrooms, and real teachers, and includes creative activities that provide both differentiated lessons and opportunities for ALL students to learn."
Glenda Lappan, University Distinguished Professor
Michigan State University
Quote by Don S. Balka, Professor Emeritus, St. Mary's College, Notre Dame, IN: "This book provides a wealth of information for teachers and mathematics leaders to consider when implementing intervention models, RTI programs, and differentiated instruction for low achievers through high achievers."
"This book provides a wealth of information for teachers and mathematics leaders to consider when implementing intervention models, RTI programs, and differentiated instruction for low achievers through high achievers."
Don S. Balka, Professor Emeritus
St. Mary's College, Notre Dame, IN
Quote by Marian Small, Author and Professional Development Consultant, One, Two . . . Infinity, New Brunswick, Canada: "Leslie Laud has created a very readable and comprehensive guide to understanding what formative assessment is and how to use it to meet the needs of students in the mathematics classroom. She offers many specific examples, covering a variety of approaches teachers can use. What is particularly noteworthy is her recognition that different teachers need to come at this work in different ways - that differentiating instruction is not just for students, but for teachers, too."
"Leslie Laud has created a very readable and comprehensive guide to understanding what formative assessment is and how to use it to meet the needs of students in the mathematics classroom. She offers many specific examples, covering a variety of approaches teachers can use. What is particularly noteworthy is her recognition that different teachers need to come at this work in different ways - that differentiating instruction is not just for students, but for teachers, too."
Marian Small, Author and Professional Development Consultant
One, Two . . . Infinity, New Brunswick, Canada
Quote by Brad Witzel, Associate Professor of Special Education, Winthrop University, Rock Hill, SC:

"Leslie Laud provides practical applications in mathematics assessment and instruction. She uses many vignettes and examples to paint a picture seen in many classrooms today. Throughout the book, Laud includes little gems that help with such areas as motivational strategies to self-determinism to ideas for visual representations. The many teacher tips and sound solutions will support those who are implementing RTI in mathematics.

"Leslie Laud provides practical applications in mathematics assessment and instruction. She uses many vignettes and examples to paint a picture seen in many classrooms today. Throughout the book, Laud includes little gems that help with such areas as motivational strategies to self-determinism to ideas for visual representations. The many teacher tips and sound solutions will support those who are implementing RTI in mathematics.

Brad Witzel, Associate Professor of Special Education
Winthrop University, Rock Hill, SC
Quote by William Farber, Professor of Mathematics Education, Mercy College, Dobbs Ferry, NY: "Leslie Laud shows the importance of the link between formative assessment and differentiated instruction. There is a limited body of work that combines these two constructs, and that connection makes this book powerful."
"Leslie Laud shows the importance of the link between formative assessment and differentiated instruction. There is a limited body of work that combines these two constructs, and that connection makes this book powerful."
William Farber, Professor of Mathematics Education
Mercy College, Dobbs Ferry, NY
Quote by Paul Kuhlman, Science and Math Teacher, Avon School District 4-1, SD: "I learned a great deal and plan to make some changes in my 7th grade math classroom. Leslie Laud takes the 'fear' out of trying this method – she uses concrete examples that can be easily implemented by busy teachers. Her book gave me the initiative, reasons, and strategies to experiment with formative assessments to drive tiered instruction in my classroom!"
"I learned a great deal and plan to make some changes in my 7th grade math classroom. Leslie Laud takes the 'fear' out of trying this method – she uses concrete examples that can be easily implemented by busy teachers. Her book gave me the initiative, reasons, and strategies to experiment with formative assessments to drive tiered instruction in my classroom!"
Paul Kuhlman, Science and Math Teacher
Avon School District 4-1, SD
Quote by Rebecca Link, Middle School Math Teacher, Fort Recovery Middle School, Fort Recovery, OH: "I appreciated the ready-to-teach tiered lesson examples and all of the resources that were shared. This book does a nice job of offering helpful web sites and applicable resources to support the classroom teacher."
"I appreciated the ready-to-teach tiered lesson examples and all of the resources that were shared. This book does a nice job of offering helpful web sites and applicable resources to support the classroom teacher."
Rebecca Link, Middle School Math Teacher
Fort Recovery Middle School, Fort Recovery, OH
Quote by Jeff Chaffee, Mathematics Curriculum Enhancement Teacher, Remington Middle School, Franklin, MA: "Using Formative Assessment to Differentiate Mathematics Instruction provides teachers with a variety of options that they can put in place right away, with little disruption of what they currently do. The author provides many templates for students and teachers to use immediately, and makes a solid argument, based on research, that differentiation is an important component in student achievement."
"Using Formative Assessment to Differentiate Mathematics Instruction provides teachers with a variety of options that they can put in place right away, with little disruption of what they currently do. The author provides many templates for students and teachers to use immediately, and makes a solid argument, based on research, that differentiation is an important component in student achievement."
Jeff Chaffee, Mathematics Curriculum Enhancement Teacher
Remington Middle School, Franklin, MA
Quote by Marty Wagner, 7th Grade Math Teacher, Wellesley Middle School, MA: "The recommendations in this book showed me how to organize my class to support each kind of learner. By providing formative assessment for my students, I am helping them learn what they need to do to help themselves. By providing different kinds of experiences for them to use in the classroom, I am giving them tools to support their own learning. Laud's book focuses on what is doable and reasonable for a classroom teacher."
"The recommendations in this book showed me how to organize my class to support each kind of learner. By providing formative assessment for my students, I am helping them learn what they need to do to help themselves. By providing different kinds of experiences for them to use in the classroom, I am giving them tools to support their own learning. Laud's book focuses on what is doable and reasonable for a classroom teacher."
Marty Wagner, 7th Grade Math Teacher
Wellesley Middle School, MA
Quote by Wladina Antoine, Farleigh Dickinson University, New Jersey: "The powerful principles described can enhance stduents' learning of mathematics inside and outside the classroom and help teachers modify their lessons and teachings. It is a great way to enrich the teaching and learning of mathematics concepts in middle schools as well as reaching low and high achievers in the classroom."
"The powerful principles described can enhance stduents' learning of mathematics inside and outside the classroom and help teachers modify their lessons and teachings. It is a great way to enrich the teaching and learning of mathematics concepts in middle schools as well as reaching low and high achievers in the classroom."
Wladina Antoine
Farleigh Dickinson University, New Jersey

Other Titles in: Mathematics | Formative Assessment | Differentiation & Multiple Intelligences

Price: $33.95
Volume Discounts applied in Shopping Cart

Review Copies

This book is not available as a review copy.