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Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4-10: Seven Practices to Maximize Learning

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Overview

Seven easy steps to differentiating math instruction for busy teachers

Staff development expert Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4–10. She presents a comprehensive framework of seven research-based practices that show teachers how to:

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

Tested, reviewed, and enhanced by experienced math teachers, the book includes practical examples, reproducibles, and student activities that are easy for busy teachers to implement immediately.

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Editorial Reviews

Glenda Lappan
"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."
Douglas B. Reeves

"Thispractical 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."

Don S. Balka
"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."
Marian Small
"Leslie Laud has created a very readable and comprehensive guide to understanding what formative assessment is andhow 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."
Brad Witzel

"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.

William Farber
"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."
Paul Kuhlman
"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!"
Rebecca Link
"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."
Jeff Chaffee
"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."
Marty Wagner
"The recommendationsin this bookshowed me how toorganize 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."
Mathematics Teaching in the Middle School, February 2012 - Wladina Antoine
"The powerful principlesdescribed 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."
Douglas B. Reeves
"Thispractical 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."
Glenda Lappan
"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."
Don S. Balka
"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."
Marian Small
"Leslie Laud has created a very readable and comprehensive guide to understanding what formative assessment is andhow 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."
Brad Witzel
"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.
William Farber
"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. "
Paul Kuhlman
"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!"
Rebecca Link
"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. "
Jeff Chaffee
"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. "
Marty Wagner
"The recommendationsin this bookshowed me how toorganize 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."
Mathematics Teaching in the Middle School, February 2012 - Wladina Antoine
"The powerful principlesdescribed 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."
Read More Show Less

Product Details

  • ISBN-13: 9781412995245
  • Publisher: SAGE Publications
  • Publication date: 3/28/2011
  • Pages: 168
  • Sales rank: 680,695
  • Product dimensions: 8.40 (w) x 10.90 (h) x 0.50 (d)

Meet the Author

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.
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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
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