Offering an innovative framework, this book helps teachers learn how to use classroom artifacts to assess students' mathematical thinking and students’ understanding of mathematical content.
Teachers need to be able to diagnose what their students do and don't understand about mathematics. This book helps teachers become more analytic about their students' thinking by showing them how to use student artifacts to evaluate what is happening in the classroom. Focusing on elementary through middle grades, chapters investigate what classroom artifacts are, how to interpret them and ways to use this data to improve mathematics instruction.
Table of Contents
Chapter 1: Turning to the Evidence
Vignette: Jeffrey Stockdale
What are artifacts and why analyze them?
Learning to see through multiple lenses
Our vision of mathematical learning and teaching
A framework for using artifacts skillfully
Section 1: Attending to thinking
Chapter 2: Describing and Interpreting Classroom Artifacts
Vignette: Lorena and Linda’s solution to the Crossing the River problem
Why focus on evidence?
Using artifacts in your own classroom
Additional Exercises: Two Video Interviews
Chapter 3: Seeing the Potential in Student Thinking
Why focus on errors?
Using errors to see potential, instead of just deficits, in students’ thinking
General commentary about errors
Working with errors in your own practice
Section 2: Attending to content
Chapter 4: Keeping an Eye on Rigorous Mathematics
Vignette: Jasmine and Nguyet
Naming and framing mathematical rigor
General Commentary on Using Mathematical Frameworks to Consider Mathematical Rigor
Chapter 5: Choosing, Using, and Connecting Mathematical Representations
Vignette: Ms. Ridgeway
General Commentary about Representations
Your Own Practice and Work with Representations
Section 3: Putting it All Together in the Classroom
Chapter 6: Putting it All Together
Vignette: Jeffrey Stockdale Part II
Exercises: Integrated Analysis of Whole Lessons
Linking to your own practice
Book Study Guide
Deciding on a Facilitator
Structuring Your Book Study Sessions
Book Study Questions for Each Chapter
Reading Reaction Sheet
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$22.99 | ISBN-13: 978-0-13-210148-6