Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework—a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom strategies and real-world examples, create learning environments where students build deep mathematical proficiency through meaningful, connected experiences.
K–12 teachers can use this book to:
- 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
Contents:
Introduction
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
Epilogue
References
Index