Mathematics Teaching Reimagined

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