Teaching Mathematics in the Visible Learning Classroom, Grades 6-8: (Corwin Mathematics Series)

Select the right task, at the right time, for the right phase of learning 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 middle 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 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 Checks for Understanding Profiles of Three Teachers Reflection Chapter 2. Teaching for the Application of Concepts and Thinking Skills Ms. Halstrom and Circles and Cylinders Ms. Fernandez and Systems of Linear Equations Mr. Singh and Integers Reflection Chapter 3. Teaching for Conceptual Understanding Ms. Halstrom and Circles and Cylinders Ms. Fernandez and Systems of Linear Equations Mr. Singh and Integers Reflection Chapter 4. Teaching for Procedural Knowledge and Fluency Ms. Halstrom and Circles and Cylinders Ms. Fernandez and Systems of Linear Equations Mr. Singh and Integers 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, Instructional Strategies that Move Learning Forward: 30 Tools that Support Gradual Release of Responsibility, 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. Sara Delano Moore is an independent mathematics education consultant at SDM Learning.  A fourth-generation educator, her work focuses on helping teachers and students understand mathematics as a coherent and connected discipline through the power of deep understanding and multiple representations for learning. Sara has worked as a classroom teacher of mathematics and science in the elementary and middle grades, a mathematics teacher educator, Director of the Center for Middle School Academic Achievement for the Commonwealth of Kentucky, and Director of Mathematics & Science at ETA hand2mind. Her journal articles appear in Mathematics Teaching in the Middle School, Teaching Children Mathematics, Science & Children, and Science Scope. 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 50 Strategies for Activating Your PLC+, 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.