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Discover the changing role of content and critical competencies—Read article >

Seven Competencies to Foster Robust Student Learning and Engagement

Transform mathematics instruction with Nathan D. Lang-Raad’s comprehensive mathematical competencies framework. Discover practical strategies to integrate seven essential competencies that develop true mathematical proficiency and enhance student engagement in K–12 classrooms.

This book will help K–2 teachers:

  • Implement the seven mathematical competencies through detailed curriculum, planning, instruction, and assessment strategies
  • Move beyond isolated skill practice to develop integrated mathematical understanding and proficiency
  • Create classroom environments that foster productive engagement and mathematical confidence
  • Apply research-based approaches that connect conceptual understanding with procedural fluency
  • Design meaningful learning experiences that develop critical thinking and problem-solving abilities

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Mathematics Teaching Reimagined book cover

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TABLE OF CONTENTS

Chapter 1: Myths and Misconceptions in Mathematics Education
Chapter 2: Conceptual and Procedural Integration
Chapter 3: Problem Solving and Modeling
Chapter 4: Logical Reasoning and Proof
Chapter 5: Communication and Representation
Chapter 6: Strategic Use of Tools and Precision
Chapter 7: Structural Insight and Regularity
Chapter 8: Productive Disposition and Engagement
Chapter 9: The CMC Framework in Your Classroom

Reproducibles

Suggested Resources

Books

  • Wessman-Enzinger, N. M., & Gerstenschlager, N. E. (2025). Celebrating mathematical mistakes: How to use students’ thinking to unlock understanding. Solution Tree Press.

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