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.

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The New Art and Science of Teaching Mathematics

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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




  • 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.