Mathematics Teaching Reimagined

ebook Seven Competencies to Foster Robust Student Learning and Engagement (Use the CMC framework for deeper mathematical thinking)

By Nathan D. Lang-Raad

cover image of Mathematics Teaching Reimagined

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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
    Mathematics Teaching Reimagined