Lesson Study Research and Practice in Mathematics Education - Learning Together

Prologue

Contents

Contributors

Introduction: Conceptual Overview of Lesson Study

Lesson Study: Structures, History, and Variation

Focus on Student Learning

Research Lesson: Centerpiece of Lesson Study

Research on Lesson Study

Teacher Learning

Adapting Lesson Study

Issues from the Field

Learning About Lesson Study Together

References

Jumping into Lesson Study: Inservice Mathematics Teacher Education

Lesson Study: The Impact on Teachers’ Knowledge for Teaching Mathematics

Rationale for the Study

Context of the Study

Analyzing the Impact of Lesson Study on Teachers’ Knowledge

What the Analysis Revealed

Lesson Plans and Discussions

Level of Anticipated Students’ Questions/Responses

Implications and Conclusion

References

Developing the Habits of Mind for a Successful Lesson Study Community

Background

Theoretical Framework

Overview

Part 1: Becoming a Lesson Study Community

The School System

Japanese Elementary Lesson Study (JELS)

Part 2: The Research Project

Data Collection and Analysis

Results

Discussion

References

Influence of Lesson Study on Teachers’ Mathematics Pedagogy

Context of Lesson Study

Theoretical Framework

Methods

Case Study Teachers

Findings and Discussion

Initial Lesson Study Experience

Completing the Research Lesson

Abandoning the Research Lesson

Teachers’ Pedagogies

Initial Pedagogies of Pat and Rachel

Pedagogies After Lesson Study

Linking Teacher Change to the Lesson Study

Implications

Leadership in Lesson Study

The Influence of School Administration

Creating a Successful Lesson Study

References

Examining Change in Teacher Mathematical Knowledge Through Lesson Study

Anticipated Teacher Learning in Each Phase of the Lesson Study Process

Methods and Results

Teachers

Data Collection and Analysis

Lesson Study at Eastern Elementary

Introduction to Lesson Study

Investigating Goals

Planning the First Research Lesson: Christmas Cookies

The First Research Lesson: Christmas Cookies

Debrief/Reflection on the First Lesson: Christmas Cookies

Planning the Second Lesson: Fair-Sharing Pizza

Second Research Lesson: Fair-Sharing Pizza

Second Lesson Debrief/Reflection: Fair-Sharing Pizza

Planning the Third Lesson

The Third Research Lesson

Third Debrief/Reflection

Teacher Learning Through Lesson Study

Reexamining the Mechanisms of Lesson Study

Discussion

References

Response to Part I: Jumping into Lesson Study—Inservice Mathematics Teacher Education

References

Emerging Issues from Lesson Study Approaches in Prospective Mathematics Teacher Education

Investigating Approaches to Lesson Study in Prospective Mathematics Teacher Education

Relevant Literature and Theoretical Perspective

Design and Methods of Inquiry

Secondary Prospective Teacher Lesson Study Approach

Elementary Prospective Teacher Lesson Study Approach

Data Collection and Analysis

Findings

Learner-Centeredness of the Lesson Study Approaches

Knowledge-Centeredness of the Lesson Study Approaches

Assessment-Centeredness of the Lesson Study Approaches

Community-Centeredness of the Lesson Study Approaches

Discussion

Concluding Remarks

References

Lesson Study in Preservice Elementary Mathematics Methods Courses: Connecting Emerging Practice and Understanding

Introduction

Lesson Study Course Activities by Week

Week 1: Introduction to Lesson Study

Week 2: Deciding Lesson Study Goals and Topics

Week 3: Situating Goals with Standards

Week 4: Situating Student Learning in Research and Deciding on Assessment

Week 5: Analyzing Student Data

Weeks 6–8: Unit and Lesson Planning

Research Lesson Events

Week 9: Group Reflection

Week 10: End-of-Quarter Presentation

Discussion

Appendix 1: Student Assessment Assignment Guidelines

Appendix 2: Lesson Study Lesson Plan

Appendix 3: What to Expect on the Research Lesson Day…

Before the lesson:

Appendix 4: Final Project Guidelines

References

Lesson Study as a Framework for Preservice Teachers’ Early Field-Based Experiences

Introduction

Philosophical and Practical Considerations

Overview of the College Course

Reflections and Conclusion

References

Response to Part II: Emerging Issues from Lesson Study Approaches in Prospective Mathematics Teacher Education

Lesson Study Approaches

Prospective Teachers’ Learning

Factors that Framed Learning

The Role of the Teacher Educator

The Group Collaboration

Concluding Remarks

References

Challenges and Promises of Unchartered Water: Lesson Study and Institutes of Higher Education

Lesson Study as a Tool for Developing Teachers’ Close Attention to Students’ Mathematical Thinking

Introduction

Research Questions

Theoretical Framework

Background and Methodology

Selected Results

The Planning/Investigation Phase

The Research Lessons

Tyrreal’s Solution to the Scale Balance Task

Conclusions, Implications, and Limitations of the Study

References

Lesson Study as a Learning Environment for Coaches of Mathematics Teachers

Background and Related Literature

Theoretical Framework

Methods of Data Collection and Analysis

Results

Knowledge of Content and Students (KCS)

Knowledge of Content and Teaching (KCT)

Teaching Philosophy Tension During Lesson Study

Improved Confidence for Preservice Teacher

New Technology Usage for Classroom Teacher

Development of Specialized Content Knowledge

Dealing with Cognitive Dissonance

Conclusions

Implications

References

Walking the Talk: Lessons Learned by University Mathematics Methods Instructors Implementing Lesson Study for Their Own Professi

Introduction

The Team

Experiencing Lesson Study: Walking in Our Own Classrooms

Unexpected Insights

Walking in Public

Conclusions

Problematizing the Practice of Teaching Mathematics

Making a Case: Lesson Study in Postsecondary Settings

References

Response to Part III: Challenges and Promises of Unchartered Water—Lesson Study and Institutes of Higher Education

Lesson Study as a Research Tool

Lesson study in Higher Education

Implications

References

Seeing the Whole Iceberg: The Critical Role of Tasks, Inquiry Stance, and Teacher Learning in Lesson Study

The Critical Role of Task Development in Lesson Study

Lesson Study and Task Design

Four Types of Tasks Used in Research Lessons

The Circle Lesson: Directly Addressing a Concept

Snow White and the Seven Dwarfs: Developing Mathematical Processes

The 13 – 9 Subtraction Lesson: A Rigorous Examination of Scope and Sequence

Area and Perimeter: Addressing Misconceptions

The Role of Lesson Study

Conclusion

References

The Intersection of Lesson Study and Design Research: A 3-D Visualization Development Project for the Elementary Mathematics Cur

Introduction

Theoretical Frameworks

Spatial Visualization

Spatial Operational Capacity Framework

Context and Methodology

Example Research Lessons

Example 1: Children’s Use of Descriptive Language

Example 2: Revisiting Children’s Progress in Coding from a 2-D Conventional Figure

Example 3: Children’ s Use and Invention of Top-View Coding to Represent 2-D Figures

Conclusion

References

Lesson Study: A Case of the Investigations Mathematics Curriculum with Practicing Teachers at Fifth Grade

Background

Theoretical Background

Context of Lesson Study

Method of Data Collection

Results of the Lesson Study

Discussion of Results

Conclusion

References

Response to Part IV: Seeing the Whole Iceberg—The Critical Role of Tasks, Inquiry Stance, and Teacher Learning in Lesson Study

References

Ideas for Developing Mathematical Pedagogical Content Knowledge Through Lesson Study

What’s Going on Backstage? Revealing the Work of Lesson Study with Mathematics Teachers

In Preparation for Stage One

Between Stages 1 and 2

Between Stages 2 and 3

Between Stages 3 and 4

Between Stages 4 and 1

References

Learning from Lesson Study: Power Distribution in a Community of Practice

Introduction

The Study

The Participants

My Learning from Belonging to the Lesson Study Community

Lesson Study Cycle One

Relationships with Mathematics

Acknowledging Power Relations

My Role as Broker in the Enterprise

Finola’ s Research Lesson on Weight

Ethna’s Research Lesson on Fractions

Nexus of Power Distribution

Lesson Study Cycles Two and Three

Conclusion: Participant Agency and Communal Spaces

References

Preparing for Lesson Study: Tools for Success

Setting the Stage

Professional Development in the First Two Years

Seminars in Mathematics Content and Problem Solving

Thinker–Doer Activity

Reflective Teaching Model (RTM)

Year Three: Lesson Study

Summary

References

Response to Part V: Ideas for Developing Mathematical Pedagogical Content Knowledge Through Lesson Study

Introduction

The Need for Pedagogical Content Knowledge in Mathematics

Conducting Kyozaikenkyu to Improve Teachers’ Knowledge

Using Focused Materials to Improve Kyozaikenkyu

Accessing Knowledgeable Others to Improve Kyozaikenkyu

Conclusion

References

Final Thoughts