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Teaching Mathematics in the Visible Learning Classroom, Grades 3-5
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Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

First Edition
March 2019 | 280 pages | Corwin
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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.

 
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

Sample Materials & Chapters

Table of Contents

Introduction

John Taylor Almarode

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... More About Author

Douglas Fisher

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... More About Author

Kateri Thunder

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... More About Author

Sara Delano Moore

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... More About Author

John Hattie

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... More About Author

Nancy Frey

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... More About Author

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ISBN: 9781544333243
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