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Math Tools, Grades 3–12

60+ Ways to Build Mathematical Practices, Differentiate Instruction, and Increase Student Engagement

With new Common Core–aligned tools and strategies, this all-in-one math classroom management resource covers everything from lesson design to math-specific learning styles.

Full description

Product Details
  • Grade Level: PreK-12, Elementary, Secondary
  • ISBN: 9781452261393
  • Published By: Corwin
  • Year: 2012
  • Page Count: 272
  • Publication date: November 16, 2012

Price: $42.95

Price: $42.95
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Common Core + Differentiated Instruction + Student Engagement = Higher Student Achievement

If you're like most math teachers, this is a problem you wrestle with every day. Harvey Silver and his colleagues have updated their best-selling text to provide a solution. With new Common Core–aligned tools and strategies, this second edition of Math Tools, Grades 3–12 is an all-in-one math classroom management resource that will enable you to teach to the Common Core, differentiate instruction, and keep students engaged—all at the same time.

Covering everything from lesson design to math-specific learning styles, the second edition's 60+ tools will enable you to:

  • Work in smarter, more efficient ways with all of your students, no matter the class size or make up
  • Create standards-based lesson plans, tests, and formative assessments 
  • Reach every learner regardless of understanding level or learning style
  • Integrate technology into class time for more engaging math lessons

Add in a Common Core matrix, immediately useable reproducibles, and learning-style charts—and you're fully equipped to make the ambitions of the Common Core Math Standards a reality in your classroom.

Key features

  • Provides an in-depth discussion of the different learning styles that students bring to the math classroom
  • Presents five broad categories of instructional tools tailored to meet the needs of students with a range of diverse needs and learning styles
  • Includes 67 ready-to-use math tools within these categories and explains how to use them to support the learning styles
  • Shows how to combine the tools throughout the book to create palettes of differentiated instructional strategies
  • Provides numerous examples showing how to use the tools to teach math content while meeting the Common Core Standards for Mathematical Practice
  • Includes "Formative Assessment Connections" and "TechConnect" sidebars throughout the text to prompt teachers to link the tools with meaningful formative assessment techniques and technology exercises
  • Provides Math Tools Matrices in each chapter to link the math tools with relevant standards , educational research, and instructional objectives


Harvey F. Silver photo

Harvey F. Silver

Harvey F. Silver, president of Silver Strong & Associates and Thoughtful Education Press, was named one of the 100 most influential teachers in the country. He has conducted numerous workshops for school districts and state education departments throughout the United States. He was the principal consultant for the Georgia Critical Thinking Skills Program and the Kentucky Thoughtful Education Teacher Leadership Program. Silver is the author of several educational bestsellers, including So Each May Learn: Integrating Learning Styles and Multiple Intelligences and Teaching Styles and Strategies, both published by the Association for Supervision and Curriculum Design. With Richard Strong, Silver developed The Thoughtful Classroom—a renowned professional development program based on the commitment to “make students as important as standards.”
John R. Brunsting photo

John R. Brunsting

John Brunsting is a mathematics teacher, a staff development specialist, and an author. John serves schools as a teacher and coach as well as a mathematics consultant on practical, style-based tools and strategies. He is a coordinator for Illinois Advanced Placement Institutes and cofounder of Mathematics & Technology Institutes, teacher training organizations committed to the instructional excellence of teachers. Previously an AP Calculus Exam Committee member, John coauthored Preparing for the AP Calculus Examination (2006). In 2008, John coauthored the best-selling Math Tools, Grades 3-12: 64 Ways to Differentiate Instruction and Increase Student Engagement. He has presented at national and international conferences for the National Council of Teachers of Mathematics (NCTM), National Council of Supervisors of Mathematics (NCSM), the Association for Supervision and Curriculum Development (ASCD), the Japan Association for Supervision and Curriculum Development (JASCD), Teachers Teaching with Technology (T3), and the International Conference on Computers in Education (ICCE).

Terry Walsh photo

Terry Walsh

Terry Walsh has been a mathematics trainer and consultant for nearly 20 years. After retiring from math and administrative positions in two suburban Chicago high schools, In addition to developing Thoughtful Classroom strategies, Terry was one of the founding editor’s of the EightySomething! graphing calculator newsletter. He not only used the strategies in this book in his own classes, he has worked with teachers across the country to help them do the same. He has also incorporated ideas from Math Tools into a variety of Pre-AP Mathematics workshops that he has been leading for the College Board. Terry has led Pre-AP Math and Learning Styles workshops across the U.S as well as in Europe. He has presented at international, national, state, and local mathematics conferences sponsored by such organizations as NCTM, the Illinois and Colorado Councils of Teachers of Mathematics, Teachers Teaching with Technology (T3), and the metropolitan Math Club of Chicago (MMC).

After “retirement”, Terry moved to Colorado. His commitment to educating students and his love of Mathematics brought Terry back into schools—first as the Secondary Math Instructional Coach for Fort Lupton schools and then as a Principal of a secondary charter school. Terry now actively consults with both pre-service and experienced teachers throughout the country to help them incorporate effective mathematics strategies in their classes in order to increase student learning. You can contact him at: trterryw@yahoo.com.

Edward J. Thomas photo

Edward J. Thomas

Consulting Description

Edward J. Thomas is founder and president of Dimension 2000, a professional development organization that works with teachers of mathematics. He has over 30 years of experience as a mathematics teacher at the middle school, high school, district, and undergraduate levels. Edward has authored several articles and books on mathematics instruction and has developed a number of educational games for the mathematics classroom. He was the co-chair of the Northwest Georgia P-16 Council, an initiative designed to improve teacher quality and student achievement from pre-school through the undergraduate level. Edward is an experienced mathematics consultant who has conducted workshops for schools throughout the country. He has also presented at state, regional, and national conferences for the National Council of Teachers of Mathematics (NCTM), Georgia Council of Teachers of Mathematics (GCTM), Southern Regional Education Board (SREB), Georgia Association of Educational Leaders (GAEL), Georgia Middle School Association (GMSA), and the Association for Supervision and Curriculum Development (ASCD).

To learn more about Thomas’ MATHCORE 2K, an online professional development resource produced by Dimension 2000, visit http://www.mathcore2k.com/.
Table of Contents

Table of Contents


About the Authors

Preface: Math Tools: A Cure for the Common Core

Introduction: A User's Guide to the Second Edition

1. Mastery

Chapter One Matrix

Convergence Mastery

Fist Lists and Spiders


Knowledge Cards

Mastery Review

Mathematical Conventions

Mathematical Summaries

Memory Box

Mental Math War

Most Valuable Point (MVP)

Practice Makes Perfect

Procedural Notes

Vocabulary Knowledge Rating (VKR)

Vocabulary Organizers

What's Wrong?

Word Walls

2. Understanding

Chapter Two Matrix


Compare & Contrast

Concept Attainment

Essential Question Notes (EQN)

Learning From Clues

Making Notes

Math Rulebook

Pattern Finding

Precisely Speaking

Ps and Qs

Show Me

Stake Your Claim

Support or Refute

Thinking Notes

Three-Way Tie

Which One Doesn't Belong?

Yes, But Why?

3. Self-Expressive

Chapter Three Matrix

3-D Viewer: Algebraic, Graphical, and Numerical

And the Question Is


Create Your Own

Divergent Thinking

Group and Label

M + M: Math and Metaphors

Making Up Is Fun to Do

Math Recipe

Meaning-Full Math

Metaphorical Duels

Modeling With Algebra

Modeling With Manipulatives

Picture = 1,000 Words

Vocabulary Stories

What If?

4. Interpersonal

Chapter Four Matrix

Attention Monitor

Explaining Solutions

I Know What I Know

Math Review Games

No Uncertain Terms

Paired Learner

Peer Coaching

Range Finder

Real-World Connections

Test Feedback

What's Your Favorite?

Where in the World?

Who's Right?

5. Mosaic

Chapter Five Matrix

Assessment Menu

Comprehension Menu

Math Media Skills

Math Notes

MATHEMATICS Writing Frames

Task Rotation





Price: $42.95
Volume Discounts applied in Shopping Cart

For Instructors

Request Review Copy

When you select 'request review copy', you will be redirected to Sage Publishing (our parent site) to process your request.

Related Resources

  • Access to companion resources is available with the purchase of this book.