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Part I Theoretical Perspectives of Lesson Study.- 1. Theory and Practice of Lesson study in mathematics around the world, Rongjin Huang, Akihiko Takahashi and João Pedro da Ponte.- 2. How Does Lesson Study Work? Toward a Theory of Lesson Study Process and Impact, Catherine Lewis, Shelley Friedkin, Katherine Emerson, Laura Henn, and Lynn Goldsmith.- 3. How Could Cultural-Historical Activity Theory Inspire Lesson Study? Ge Wei.- 4. Developing Teachers' Expertise in Mathematics Instruction as Deliberate Practice through Chinese Lesson Study, Xue Han and Rongjin Huang.- 5. Doing and Investigating Lesson Study with the Theory of Didactical Situations, Jacob Bahn & Carl Winsløw.- 6. Theorising Professional Learning through Lesson Study using the Interconnected Model of Professional Growth, Wanty Widjaja, Colleen Vale, Susie Groves and Brian Doig.- 7. Teaching for Robust Understanding with Lesson Study, Alan Schoenfeld, Angela Dosalmas, Heather Fink, Alyssa Sayavedra, Karen Tran, Anna Weltman, Anna Zarkh, and Sandra Zuniga-Ruiz.- Part II Historical and Cultural Perspectives in Japan and China.- Preface to Part II, Lynn Paine.- 8. The Origin and Development of Lesson Study in Japan, Naomichi Makinae.- 9 Lesson Study and Textbook Revisions: What Can We Learn from the Japanese Case? Tad Watanabe.- 10 An Analysis of Chinese Lesson Study from Historical and Cultural Perspectives, Xuhui Li.- 11 Lesson Study and Its Role in the Implementation of Curriculum Reform in China, Xingfeng Huang, Rongjin Huang, Yan Huang, Chenqi Wu, Hui Jiang, and Cecilia Anne Wanner.- Part III Adaption Lesson Study in Selected Education Systems.- Preface to Part III, Wasyl Cajkler.- 12 Using School-Wide Collaborative Lesson Research to Implement Standards and Improve Student Learning: Models and Preliminary Results, Akihiko Takahashi and Thomas McDougal.- 13 Implementing a New Mathematics Curriculum in England: District Research Lesson Study as a Driver for Student Learning, Teacher Learning and Professional Dialogue, Peter Dudley, Paul Warwick, Maria Vrikki, Jan D. Vermunt, Neil Mercer, Nicolette van Halem, and Anne Mette Færøyvik Karlsen.- 14. A Case of Lesson Study in South Africa, Jill Adler and Jehad Alshwaikh.- 15. How Variance and Invariance Can Inform Teachers' Enactment of Mathematics Lessons, Paulino Preciado-Babb, Martina Metz and Brent Davis.- 16. Capturing Changes and Differences in Teacher Reflection through Lesson Study: A Comparison of Two Culturally Diverse Malaysian Primary Schools, Liew Kee Kor, Saw Fen Tan and Chap Sam Lim.- 17. Representing Instructional Improvements in Lesson Study through Principled Analysis of Research Lessons - A Case of Equivalent Fractions, Yanping Fang, Xiong Wang and Christine Lee Kim-Eng.- 18. What Knowledge Do Teachers Use in Lesson Study? A Focus on Mathematical Knowledge for Teaching and Levels of Teacher Activity, Stéphane Clivaz and Aoibhinn Ni Shuilleabhain.- 19. Identifying What is Critical for Learning 'Rate of Change' : Experiences from a Learning Study in Sweden, Robert Gunnarsson, Ulla Runesson, and Per Håkansson.- Part IV Mathematics Teacher Preparation and Lesson Study.- Preface to Part IV, Raymond Bjuland.- 20. Developing Learning Communities through Lesson Study, Guðný Helga Gunnarsdóttir and Guðbjörg Pálsdóttir.- 21. Lesson Study for Preservice Teachers, Jennifer M. Lewis.- 22. How Lesson Study Helps Student Teachers Learn How to Teach Mathematics through Problem-Solving: Case Study of a Student Teacher in Japan, Koichi Nakamura.- 23. Lesson Study in a Mathematics Methods Course: Overcoming Cultural Barriers, Blake E. Peterson, Dawn Teuscher and Thomas E. Ricks.- 24. Improving Prospective Teachers' Lesson Planning Knowledge and Skills Through Lesson Study, Suanrong Chen and Bo Zhang.- 25. Lesson Study in Mathematics Initial Teacher Education in England, Fay Baldry and Colin Foster.- Part V Studies on key aspects of Le
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