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Math Tools, Grades 3–12

Math Tools, Grades 3–12
60+ Ways to Build Mathematical Practices, Differentiate Instruction, and Increase Student Engagement

Second Edition

August 2012 | 272 pages | Corwin

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.

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


"I was hooked within the first 30 pages! Ideas were racing through my mind—I'm excited to blog about it and use it in the classroom. Applies to teachers of all ages—a lot of solid explanations for newbies but still full of resources that any teachers can use or modify. Any book that makes me think, and especially think about improving my practice, is definitely a worthwhile investment. Invest in yourself!"

Elissa Miller, High School Math Teacher and Blogger
MissCalculate blog
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

Sample Materials & Chapters



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ISBN: 9781452284408

ISBN: 9781452261393