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Teaching Mathematics in the Visible Learning Classroom, Grades K-2
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Teaching Mathematics in the Visible Learning Classroom, Grades K-2

First Edition


January 2019 | 288 pages | Corwin

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.

 

 
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
Key features

Like being a fly on the wall of real K-2 classrooms!

Includes:

  • Grade- and content-specific vignettes of three teachers across nine complete lessons showing surface, deep, transfer learning across a unit
  • 90 minutes of real K-2 classroom video
  • Grade-specific descriptions, teaching takeaways, vocabulary, and tools for high-effect instructional strategies
  • Lesson plans include standards, learning intentions and success criteria, tasks, tools, checklists, and facilitation notes—all downloadable from companion website
  • Interactive reflection and activity sections
 

Sample Materials & Chapters

Table of Contents

Introduction


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