Teaching Mathematics in the Visible Learning Classroom, Grades K-2

List of Videos Acknowledgments About the Authors Introduction What Works Best What Works Best When The Path to Assessment-Capable Visible Learners in Mathematics How This Book Works Chapter 1. Teaching With Clarity in Mathematics Components of Effective Mathematics Learning Surface, Deep, and Transfer Learning Moving Learners Through the Phases of Learning Differentiating Tasks for Complexity and Difficulty Approaches to Mathematics Instruction Checks for Understanding Profiles of Three Teachers Reflection Chapter 2. Teaching for the Application of Concepts and Thinking Skills Mr. Southall and Number Combinations Ms. McLellan and Unknown Measurement Values Ms. Busching and the Ever-Expanding Number System Reflection Chapter 3. Teaching for Conceptual Understanding Mr. Southall and Patterns Ms. McLellan and the Meaning of the Equal Sign Ms. Busching and the Meaning of Addition Reflection Chapter 4. Teaching for Procedural Knowledge and Fluency Mr. Southall and Multiple Representations Ms. McLellan and Equality Conjectures Ms. Busching and Modeling Subtraction Reflection Chapter 5. Knowing Your Impact: Evaluating for Mastery What Is Mastery Learning? Ensuring Tasks Evaluate Mastery Ensuring Tests Evaluate Mastery Feedback for Mastery Conclusion Final Reflection Appendices A. Effect Sizes B. Teaching for Clarity Planning Guide C. Learning Intentions and Success Criteria Template D. A Selection of International Mathematical Practice or Process Standards References Index