Front Matter -- Acknowledgments -- Preface -- Contents -- Introduction -- Reflections on the Workshop -- Observations from the Study of Teaching Practice as a Medium for Professional Development -- Building an International Community: Sharing Knowledge and Experiences in Professional Development for Mathematics Education -- Background Context for Teacher Preparation in the United States and in Japan -- Elementary Mathematics Education in the United States -- Mathematics Teacher Education in Grades 7-12 in the United States -- A Study of Teacher Change Through Inservice Mathematics Education Programs in Graduate School -- Recurrent Education in Japan: Waseda University Education Research and Development Center -- Recurrent Education in Japan: Kanagawa Prefectural Education Center -- Lesson Study as Professional Development -- Setting the Stage -- Lesson Study: What, Why, and How? -- Framing Lesson Study for U.S. Participants -- Lesson Study from the Perspective of a Fourth-Grade Teacher -- Studying Classroom Teaching as a Medium for Professional Development: Video Component -- Reflections on Videos: Panel -- Development Through the Use of Records of Practice Professional Development Through the Use of Records of Practice -- Professional Development Through Records of Instruction -- Professional Development Through Written Cases -- Professional Development Through the Use of Records Mathematical Knowledge of Teachers Panel -- Professional Development Small Group Discussion -- Appendix A: Workshop Agenda -- Appendix B: Participant List -- Appendix C: Steering Committee Biographical Information -- Appendix D: A Plan for the Lesson on Division by a Two-Digit Number -- Appendix E: A Demonstration Lesson: Function Thinking at Sixth Grade -- Appendix F: A Study Lesson: Large Numbers at Fourth Grade.

Appendix G: Record of Instruction: Reasoning About Three Coins at Third Grade -- Appendix H: Transcript of Excerpts from Small Group Discussions -- Appendix I: A Written Case: Pattern Trains at Sixth Grade -- Appendix J: To Become a Mathematics Teacher -- Appendix K: Glossary -- Appendix L: Workshop Reading List -- Appendix M: References.