Teaching Mathematics in the Visible Learning Classroom, Grades K-2: (Corwin Mathematics Series)

Select the right task, at the right time, for the right phase of learning Young students come to elementary classrooms with different background knowledge, levels of readiness, and learning needs. What works best to help K–2 students develop the tools to become visible learners in mathematics? What works best for K-=–2 mathematics learning at the surface, deep, and transfer levels?   In this sequel to the megawatt bestseller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Kateri Thunder, John Hattie, and Nancy Frey help you answer those questions by showing how Visible Learning strategies look in action in K–2 mathematics classrooms. Walk in the shoes of teachers as they mix and match the strategies, tasks, and assessments seminal to making conceptual understanding, procedural knowledge, and the application of mathematical concepts and thinking skills visible to young students as well as to you.   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 K–2 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 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

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! Kateri Thunder, Ph.D., has the pleasure of collaborating with learners and educators from school divisions and early learning centers around the world to translate research into practice. She has served as an inclusive early childhood educator, an Upward Bound educator, a mathematics specialist, an assistant professor of mathematics education at James Madison University, and Site Director for the Central Virginia Writing Project. Her research, writing, and presentations focus on equity and access in early childhood and mathematics education, as well as the intersection of literacy and mathematics for teaching and learning. Kateri has collaborated with thousands of educators to catalyze change in their classrooms, centers, and schools. She is the chair of NCTM’s Research Committee and co-creator of The Math Diet. Additionally, she is a best-selling author for Corwin’s Teaching Mathematics in the Visible Learning Classroom Series, the Success Criteria Playbook, and Visible Learning in Early Childhood. 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.