Accelerating K-8 Math Instruction

Contents (Tentative) Foreword Acknowledgment Introduction Acceleration Is Not Remediation Phrases We Need to Know 1. Research on Acceleration What Is Acceleration? What Is the Shift? Why Do We Accelerate? What Are the Benefits of Accelerating? How Do We Accelerate? Summary 2. Unpacking Prior Knowledge: Assessment as the Key to Acceleration The Importance of Prior Knowledge What Prior Knowledge Should Be Prioritized? Trickiness of Prior Knowledge The Role of Prior Knowledge in Accelerating Math Explicitly Tapping into Prior Knowledge Activating Prior Knowledge Posters Metacognition Graphic Organizers to Tap into Prior Knowledge Schema/Prior Knowledge Maps Summary 3. Acceleration and the Teaching of Math Vocabulary Directly Teaching the Vocabulary Practicing the Vocabulary Weaving the Vocabulary Throughout the Lesson Summary 4. Acceleration Lesson Plan Format Instruction Plan Assessment Plan Progress Monitoring Keeping Track Throughout the Lesson Planning Checklists Reflecting on the Acceleration Process Summary 5. Acceleration and Pedagogy Eight Recommendations for Mathematical Intervention Explicit and Systematic Instruction Math Intervention Lesson Distributed and Deliberate Practice Visualization Manipulatives Diagrams and Graphic Organizers Visuals for Word Problems Number Paths and Number Lines Graphic Organizers Visual Displays Choosing the Best Graphic Organizers Word Problems Fluency Math Think Alouds Emergent Bilinguals Building Mathematical Proficiency Math Practices and Processes Professional Development Summary 6. Acceleration: A Primary Classroom Example Jamal A Week of Scaffolding the Bridging 10 Strategy Tracking a 1-Week Acceleration Cycle A Week of Acceleration Evaluating the Acceleration Cycle Supporting the Acceleration Cycle Summary 7. Acceleration: An Upper Elementary Example Lucy Two Weeks of Scaffolding Division: Big Division Ideas Tracking a Two-Week Acceleration Cycle 8. Acceleration: A Middle School Example Mario Learning Trajectory of Division Two Weeks of Scaffolding Fraction Division: Big Fraction Ideas Tracking a Two-Week Acceleration Cycle Prior Knowledge: Trace of Dividing Fractions by Fractions Lesson 1: Dividing a Whole Number by a Fraction Lesson 2: Dividing a Whole Number by Any Fraction Dividing a Unit Fraction by a Whole Number Dividing a Fraction by a Fraction Progress Monitoring Daily Exit Slips Example of Mapping an Acceleration Cycle Reflecting on the Acceleration Cycle Supporting the Acceleration Cycle Summary 9. Connecting Progress Monitoring, Goal Setting, and Motivation Progress Monitoring for Acceleration Goal Setting Student Goal Setting High Quality Feedback and Motivation Motivation and Growth Mindset Summary Epilogue. Acceleration in Action: A Classroom Example Christine King References About the Author