How do you generate that lightbulb "aha" moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it's not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.
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
Ms. Buchholz and the Relationship Between Multiplication and Division
Ms. Mills and Equivalent Fractions and Decimals
Ms. Campbell and the Packing Problem
Reflection
Chapter 3. Teaching for Conceptual Understanding
Ms. Buchholz and the Meaning of Multiplication
Ms. Mills and Representing Division as Fractions
Ms. Campbell and the Volume of a Rectangular Prism
Reflection
Chapter 4. Teaching for Procedural Knowledge and Fluency
Ms. Buchholz and Fluent Division Strategies
Ms. Mills and Comparing Fractions
Ms. Campbell and Computing Volume
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. Planning for Clarity Guide
C. Learning Intentions and Success Criteria Template
D. A Selection of International Mathematical Practice or Process Standards
References
Index
Dr. John Almarode is a bestselling author and an Associate Professor of Education at James Madison University. He was awarded the inaugural Sarah Miller Luck Endowed Professorship in 2015 and received an Outstanding Faculty Award from the State Council for Higher Education in Virginia in 2021. Before his academic career, John started as a mathematics and science teacher in Augusta County, Virginia. As an author, John has written multiple educational books focusing on science and mathematics, and he has co-created a new framework for developing, implementing, and sustaining professional learning communities called PLC+. Dr. Almarode¿s work has been presented to the US Congress, the Virginia Senate, and the US Department of Education. One of his recent projects includes developing the Distance Learning Playbook for College and University Instruction in response to the COVID-19 pandemic.
Continuing his collaborative work with colleagues on what works best in teaching and learning, How Tutoring Works, Visible Learning in Early Childhood, and How Learning Works, all with Corwin Press, were released in 2021.