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
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.
Websites