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Part I Theoretical Perspectives of Lesson Study.-&nbsp;1.&nbsp;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&nbsp;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.- &nbsp;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&nbsp;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.&nbsp;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:&nbsp;&nbsp;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.&nbsp;Developing Learning Communities through Lesson Study, Guðný Helga Gunnarsdóttir and Guðbjörg Pálsdóttir.- 21. Lesson Study for Preservice Teachers, &nbsp;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.&nbsp;Lesson Study in a Mathematics Methods Course: Overcoming Cultural Barriers, Blake E. Peterson, Dawn Teuscher and Thomas E. Ricks.- 24.&nbsp;Improving Prospective Teachers’ Lesson Planning Knowledge and Skills Through Lesson Study, Suanrong Chen and Bo Zhang.- 25.&nbsp;Lesson Study in Mathematics Initial Teacher Education in England, Fay Baldry and Colin Foster.- Part V Studies on key aspects of Lesson study.- Preface to Part V, &nbsp;Keith Wood.- 26. Implementing Mathematics Teaching That Promotes Students’ Understanding Through Theory-driven Lesson Study, Rongjin Huang, Zikun Gong and Xue Han.- 27. Learning and Leading Lesson Study, Jennifer M. Lewis.- 28 Characterizing Mathematics Teaching Research Specialists’ Mentoring in the Context of Chinese Lesson Study, Feishi Gu and Lingyuan Gu.- 29 Designing and Adapting Tasks in Lesson Planning: A Critical Process of Lesson Study, Toshiakira Fujii.- 30 A Critical Mechanism for Improving Teaching and Promoting Teacher Learning during Chinese Lesson Study: An Analysis of the Dynamics between Enactment and Reflection, Rongjin Huang, Dovie Kimmins and Jeremy Winters.- 31 Race to the Top and Lesson Study Implementation in Florida: District Policy and Leadership for Teacher Professional Development, Motoko Akiba, Aki Murata, Cassie Howard, Bryan Wilkinson, and Judith Fabrega.- 32 The Use of Lesson Study to Unpack Learning Trajectories and Deepen Teachers’ Horizon Knowledge, Jennifer Suh, Sara Birkhead,Terrie Galanti, Rachelle Farmer and Padmanabhan Seshaiyer.- Part VI&nbsp;&nbsp;Commentary.- 33 A Western Perspective, John Elliott.- 34 An Eastern Perspective, Mun Ling Lo.<p></p>

<b>Dr. Rongjin Huang</b> is professor of mathematics education at Middle Tennessee State University (MTSU), USA. He got bachelor and master degrees in mathematics in Mainland China, and Ph.D. degrees in curriculum and instruction in Hong Kong and the USA. He was a high school mathematic teacher, and a faculty member at East China Normal University and University of Macau prior to joining MTSU. &nbsp;His research interests include classroom research, teacher education, and comparative studies in mathematics education. Dr. Huang has more than 100 publications and presentations in both Chinese and English. The articles have been published in highly respected journals such as: <i>Journal of Mathematics Teacher Education, ZDM Mathematics Education</i>, and <i>Journal of Mathematical Behavior</i>. Dr. Huang has published six books. His recently published books include <i>How Chinese Teach Mathematics and Improve Teaching</i> (Rougtledge, 2013), <i>Prospective mathematics teachers’ knowledgeof Algebra: A comparative study in China and the United States of America </i>(Springer, 2014), and <i>Teaching and learning mathematics through variation: Confucian heritage meets Western theories</i> (Sense, 2017). Dr. Huang has served as a guest editor for <i>ZDM Mathematics Education and International Journal for Lesson and Learning Studies</i>. He has organized and chaired secessions at international conferences such as AERA, NCTM, and ICME.<p></p>

<p><b>Dr. Akihiko Takahashi</b> is an Associate Professor at DePaul University. He teaches mathematics and mathematics education for prospective teachers. He was a teacher in Japan before becoming an educator of mathematics teachers. During his teaching career, he was nationally active in mathematics lesson study in Japan. He received his Ph.D. from the University of Illinois at Urbana-Champaign; his dissertation research focused on internet use in mathematics education. He has published over 60 journal articles and book chapters in English and Japanese and given over 50 presentations and keynote at conferences and workshops in Canada, Chile, Germany, Indonesia, Ireland, Japan, Korea, Malawi, Malaysia, Mexico, Philippine, Qatar, Singapore, Thailand, Uganda, United Kingdom, and United States.</p>

<p><b>Dr. João Pedro da Ponte</b> is Professor at Universidade de Lisboa. He made his doctoral studies at the University of Georgia (USA), and was a Visiting Professor at San Diego (USA), UNICAMP (Brazil), and Granada (Spain). His current main research interests are mathematics teaching practices and teacher education and the teaching and learning of rational numbers and algebra. He coordinated a government report about pre-service teacher education (2006) and a new mathematics curriculum for basic education (2007) and collaborates with the Portuguese association of teachers of mathematics. He has supervised thirty one PhD dissertations and is author and co-author of several books and articles in national and internationaljournals such as <i>BOLEMA, RELIME, Educational Studies in Mathematics, Journal of Mathematics Teacher Educations, </i>and<i> ZDM Mathematics Education.</i></p>

<p>This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling.</p><p>Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process.</p><p><em>Chapter&nbsp;15: "</em>How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons"&nbsp;<em>of this book is available open access under a&nbsp;CC BY 4.0&nbsp;license at link.springer.com</em></p><p><i>Theory and Practice of Lesson Study in Mathematics: An International Perspective</i>&nbsp;shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges.&nbsp;&nbsp;</p><p>(Max Stephens, Senior research fellow at The University of Melbourne)</p><p>It works. Instruction improves, learning improves. Wide scale?&nbsp; Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving&nbsp; instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long.</p><p>(Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)</p><p>“The chapter “How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons” is available open access under a CC BY 4.0 license at link.springer.com.”<br></p>

Brings together international research and theories on lesson study (LS) in Mathematics Presents issues and strategies for the effective implementation of lesson study in Mathematics Advances lesson study as a professional development approach to a research methodology Extends the field by including two brands of lesson study: Chinese LS and HK/Sweden learning study