**Free Reproducibles**

# The New Art and Science of Teaching Mathematics

## Establish effective teaching strategies in mathematics instruction

In *The New Art and Science of Teaching Mathematics*, authors Nathan D. Lang-Raad and Robert J. Marzano reenvision the groundbreaking New Art and Science of Teaching framework for math classrooms. Readers will discover myriad math strategies, tools, and methods of teaching mathematics for every step of the process, from articulating learning targets and conducting math lessons to engaging students, tracking progress, and celebrating successes.

**Use this teaching resource to implement research-based best practices in teaching math:**

- Explore how The New Art and Science of Teaching framework can help you optimize your methods and establish best practices in teaching mathematics.
- Become familiar with the 10 design areas and 43 elements of effective teaching strategies that make up the framework.
- Develop an understanding of which of the 43 elements of instruction are most effective in the mathematics classroom and in which types of lessons they should be used when teaching mathematics.
- Use each chapter’s Guiding Questions for Curriculum Design to support planning and aid in reflection as a mathematics teacher.
- Discover a four-step process designed to help you deepen your expertise of math teaching strategies.

## TABLE OF CONTENTS

**Part I: Feedback**

Chapter 1: Providing and Communicating Clear Learning Goals

Chapter 2: Using Assessments

**Part II: Content**

Chapter 3: Conducting Direct Instruction Lessons

Chapter 4: Conducting Practicing and Deepening Lessons

Chapter 5: Conducting Knowledge Application Lessons

Chapter 6: Using Strategies That Appear in All Types of Lessons

**Part III: Context**

Chapter 7: Using Engagement Strategies

Chapter 8: Implementing Rules and Procedures

Chapter 9: Building Relationships

Chapter 10: Creating High Expectations

Chapter 11: Developing Expertise

Appendix A: The New Art and Science of Teaching Framework Overview

Appendix B: Lesson Seed—Fluency With the Salute Game

Appendix C: List of Tables and Figures

## REPRODUCIBLES

- Figure 1.12: Student Proficiency Scale for Self-Rating and Planning
- Figure 2.5: Student Mathematics Learning Portfolio Ideas for All Grade Levels
- Figure 5.4: Understanding Map
- Figure 5.6: The Four Cs to Defending Claims
- Figure 6.1: Creativity-Assisted Inquiry Tool
- Figure 6.5: Reason-Talk-Choose Protocol
- Figure 7.1: Open Feedback System Tool
- Figure 7.4: Intrigue-Explain-Wonder Scenarios and Protocol
- Figure 7.6: Mathematics Scenarios to Spark Debate
- Figure 7.7: Argument-Talk Protocol
- Figure 7.10: Active Listening Checklist
- Figure 9.2: The Pause Strategy
- Figure 10.2: Example of the QFT Process for Mathematics
- Figure 10.3: Mathematics Inquiry Circle Protocol
- Figure 10.4: Mathematics Inquiry Circle Recap Sheet
- Figure 10.6: Revision Protocol
- Figure 12.2: Self-Audit for The New Art and Science of Teaching Framework
- Figure A.1: The New Art and Science of Teaching Framework Overview
- Appendix B: Salute Game

## SUGGESTED RESOURCES

**Books**

- Lang-Raad, N. (2018).
*Everyday Instructional Coaching*. Bloomington, IN: Solution Tree Press. - Marzano, R. (2017).
*The New Art and Science of Teaching*. Bloomington, IN: Solution Tree Press.

**Websites**