It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb ‘aha’ moment of understanding?
In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of elementary school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction.
Using grade-leveled examples and a decision-making matrix, you’ll learn to
- Articulate clear learning intentions and success criteria at surface, deep, and transfer levels
- Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers
- Use formative assessments to track what students understand, what they don’t, and why
- Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning
- Adjust the difficulty and complexity of any task to meet the needs of all learners
It’s not only what works, but when. Exemplary lessons, video clips, and online resources 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.
Table of Content
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
About the author
Nancy Frey is professor of educational leadership at San Diego State University and a leader at Health Sciences High and Middle College. Previously, Nancy was a teacher, academic coach, and central office resource coordinator in Florida. She is a credentialed special educator, reading specialist, and administrator in California. She is a member of the International Literacy Association’s Literacy Research Panel. She has published widely on literacy, quality instruction, and assessment, as well as books such as The Artificial Intelligences Playbook, How Scaffolding Works, How Teams Work, and The Vocabulary Playbook.
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