Examining Mathematics Practice Through Classroom Artifacts

ISBN-10: 0132101289
ISBN-13: 9780132101288
Edition: 2013
List price: $25.99
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Book details

List price: $25.99
Copyright year: 2013
Publisher: Allyn & Bacon, Incorporated
Publication date: 2/9/2012
Binding: Paperback
Pages: 192
Size: 7.25" wide x 9.00" long x 0.50" tall
Weight: 0.638
Language: English

The Education Development Center, Inc (EDC) specializes in creating and implementing professional development programs for teachers, health care professionals, and other workers; designing technology tools and curriculum materials dedicated to inquiry-based, hands-on learning; and conducting applied research on learning in a wide variety of settings.

Foreword
Preface
Acknowledgments
Turning to the Evidence
What Are Artifacts, and Why Analyze Them?
Learning to See through Multiple Lenses
Our Vision of Mathematics Learning and Teaching
A Framework for Using Artifacts Skillfully
Attention to Thinking
Describing and Interpreting Classroom Artifacts
Why Focus on Evidence?
Creating a Description of Student Work
Exercise 1: Danny
Process for Analyzing Danny's Work
Commentary on Danny's Work
Exercise 2: Melissa
Process for Viewing and Analyzing the Melissa Video
Commentary on Melissa's Interview
Reflecting on Exercise 2
Using Artifacts in Your Own Classroom
Warm-Ups
Homework, Quizzes, and Tests
Exercise 3: Sorting Homework
Process for Sorting the Homework Samples
Commentary on Exercise 3
Making Videos of Your Own
Wrapping Up
Additional Exercises: Video Clips of Two Math Interviews
Exercise 4: Kasage
Process for Viewing and Analyzing the Kasage Video
Exercise 5: Myrna
Process for Viewing and Analyzing the Myrna Video
Seeing the Potential in Students' Thinking
Why Focus on Errors?
Using Errors to See Potential Instead of Just Deficits in Students' Thinking
Exercise 1: Lemonade Lesson Part 1-Alberto and Kisha
Process for Viewing and Analyzing Lemonade Lesson Part 1
Commentary on Lemonade Lesson Part 1
Reflecting on Exercise 1
Exercise 2: Lemonade Lesson Part 2-Rosa and Maria
Process for Viewing and Analyzing Lemonade Lesson Part 2
Commentary on Lemonade Lesson Part 2
Reflecting on Exercise 2
General Commentary About Errors
Working with Errors in Your Own Practice
Homework
Warm-Ups
Class Discussions
Periodic Diagnostic Interviews
Wrapping Up
Attention to Content
Keeping an Eye on Rigorous Mathematics: Big Ideas and Habits of Mind
Naming and Framing Mathematical Rigor
Mathematical Frameworks: Big Ideas and Habits of Mind
Big Ideas
Habits of Mind
Choosing and Using a Mathematical Framework for Analyzing Artifacts
Exercise 1: Identifying Big Ideas in Your Math Textbook
Process for Analyzing Your Textbook
Commentary on Exercise 1
Exercise 2: A Tale of Two Lessons-Using Mathematical Frameworks to Think About Rigor and Cognitive Demand
Process for Analyzing the Lessons
Commentary on Exercise 2
General Commentary on Using Mathematical Frameworks to Consider Mathematical Rigor
Using Mathematical Frameworks in Your Lessons
Lesson Planning
Teaching the Lesson
Wrapping Up
Choosing, Using, and Connecting Mathematical Representations
General Commentary About Representations
Exercises
Exercise 1: Larry's Seventh-Grade Classroom Scenario
Process for Analyzing Larry's Classroom Scenario
Commentary on Larry's Classroom Scenario
Reflecting on Exercise 1: Implications for Practice
Your Own Practice and Work with Representations
Using Artifacts to Examine Representations in Your Classroom
Homework
Warm-Ups
Class Discussion
Diagnostic Interviews
Wrapping Up
Additional Exercises
Exercise 2: Video Games Fraction Lesson
Process for Analyzing the Video Game Fractions Lesson Video
Exercise 3: Garden Border Task: Student Methods
Process for Analyzing the Garden Border Work Samples
Putting It All Together in the Classroom
Putting It All Together
Exercises: Integrated Analysis of Whole Lessons
Exercise 1: Building Triangles Lesson
Process for Viewing and Analyzing the Building Triangles Lesson
Commentary on the Building Traiangles Lesson
Some Additional Points of Reflection
Exercise 2: Multiplication Lesson
Process for Viewing and Analyzing the Multiplication Lesson
Commentary on the Multiplication Lesson
Some Additional Points of Reflection
Linking to Your Own Practice
Final Thoughts
Appendix
Blank Worksheet (Chapter 2)
Student Work Samples
Blank Worksheets (Chapters 3-6)
Lesson Graphs (Chapter 6)
Blank Lesson Graph (Chapter 6)
References
Book Study Guide
Deciding on a Facilitator
Structuring Your Book Study Sessions
Using the Reading Reaction Sheet
Chapter Guiding Questions
Combination of Structure 1 and 2
Guiding Questions for Each Chapter
Turning to the Evidence
Describing and Interpreting Classroom Artifacts
Seeing the Potential in Student Thinking
Keeping an Eye on Rigorous Mathematics
Choosing, Using, and Connecting Representations
Putting It All Together
Reading Reaction Sheet
Index

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