Table of Contents

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
Profile of Three Teachers
Reflection
Chapter 2. Teaching for the Application of Concepts and Thinking Skills
Ms. Rios and Systems of Linear Equations
Mr. Wittrock and Three-Dimensional Shapes
Ms. Shuzhen and Statistical Reasoning
Reflection
Chapter 3. Teaching for Conceptual Understanding
Ms. Rios and Systems of Linear Equations
Mr. Wittrock and the Volume of Three-Dimensional Shapes
Ms. Shuzhen and Independent Versus Conditional Probability
Reflection
Chapter 4. Teaching for Procedural Knowledge and Fluency
Ms. Rios and Systems of Linear Equations
Mr. Wittrock and Trigonometric Relationships
Ms. Shuzhen and Probabilities of Compound Events
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

About the Author

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. John and his colleagues have also focused a lot of attention on the process of implementation – taking evidence-based practices and moving them from intention to implementation, potential to impact through a series of on-your-feet-guides around PLCs, Visible Learning, Visible Teaching, and the SOLO Taxonomy.

Douglas Fisher is professor and chair of educational leadership at San Diego State University and a teacher leader at Health Sciences High and Middle College. Previously, Doug was an early intervention teacher and elementary school educator. He is a credentialed English teacher and administrator in California.  In 2022, he was inducted into the Reading Hall of Fame by the Literacy Research Association. He has published numerous articles on reading and literacy, differentiated instruction, and curriculum design, as well as books such as The Teacher Clarity Playbook 2/e, Your Introduction to PLC+, The Illustrated Guide to Teacher Credibility, The Teaching Reading Playbook, and Welcome to Teaching!.




Joseph Michael Assof is a high school and community college mathematics teacher and the math department chair at Health Sciences High and Middle College in San Diego, CA. He is also an educational consultant and presents internationally on a wide array of topics including teacher clarity, mathematics teaching and learning, visible learning, and more. Joseph coauthored Teaching Mathematics in the Visible Learning Classroom, High School, Teaching Mathematics in the Visible Learning Classroom, Grades 6–8, and The Teacher Clarity Playbook, and his classroom is featured in a number of Visible Learning for Mathematics, Grades K–12 videos. Joseph holds bachelor’s and master’s degrees in mathematics and a doctorate in Educational Leadership with an emphasis in Mathematics Teacher Leadership. Mathematics and mathematics education are Joseph’s second passion—his first being his two beautiful boys, Joseph Fred and Jamie Beau.

John Hattie, PhD, is an award-winning education researcher and best-selling author with nearly thirty years of experience examining what works best in student learning and achievement. His research, better known as Visible Learning, is a culmination of nearly thirty years synthesizing more than 2,100 meta-analyses comprising more than one hundred thousand studies involving over 300 million students around the world. He has presented and keynoted in over three hundred international conferences and has received numerous recognitions for his contributions to education. His notable publications include Visible Learning, Visible Learning for Teachers, Visible Learning and the Science of How We Learn; Visible Learning for Mathematics, Grades K-12; and 10 Mindframes for Visible Learning. Nancy Frey is a Professor in Educational Leadership at San Diego State and a teacher leader at Health Sciences High and Middle College.  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. Her published titles include The Illustrated Guide to Visible Learning, Welcome to Teaching Multilingual Learners, Teaching Foundational Skills to Adolescent Readers, and RIGOR Unveiled: A Video-Enhanced Flipbook to Promote Teacher Expertise in Relationship Building, Instruction, Goals, Organization, and Relevance.