Teaching Multiplication with Lesson Study : Japanese and Ibero-American Theories for International Mathematics Education

This open access book is intended to assist teachers, teacher trainers, curriculum designers, editors and authors of textbooks in developing strategies to teach the multiplication of natural numbers based on the experience of the Lesson Study in Japan. This approach to mathematics education dates back to the 1870s and reconciles the emphasis on problem solving with the treatment of the curricular contents. It has gained international recognition since the 1990s and thanks to it mathematics education in Japan has been recognized as one of the most efficient and innovative in the world. This growing international awareness has led to an effort to apply the principles of Lesson Study to other parts of the world and this book shows how experienced authors from Brazil, Chile, Mexico, Spain and Portugal have worked to adapt some of these methods and techniques to the Portuguese and Spanish speaking countries of Ibero-America. Drawing on the impact of Lesson Study on government curriculum decisions and teacher behavior in Japanese classrooms; offering examples of lessons, lesson plans and suggestions for teaching; and presenting examples of the good reception of the principles of Lesson Study in Ibero-America, Teaching Multiplication with Lesson Study - Japanese and Ibero-American Theories for Mathematics Education shows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. ; Shows how teachers can apply the principles of Japanese Lesson Study to teach the multiplication of natural numbers Presents an approach to mathematics education that reconciles the emphasis on problem solving with the treatment of the curricular contents Provides examples of how a method developed in Japan can be adapted to different cultural contexts, such as the Portuguese and Spanish speaking countries of Ibero-America Front Matter ....Pages i-xviii Introduction: Japanese Theories and Overview of the Chapters in This Book (Masami Isoda, Raimundo Olfos)....Pages 1-21 Front Matter ....Pages 23-23 Multiplication of Whole Numbers in the Curriculum: Singapore, Japan, Portugal, the USA, Mexico, Brazil, and Chile (Raimundo Olfos, Masami Isoda, Soledad Estrella)....Pages 25-35 Problematics for Conceptualization of Multiplication (Masami Isoda, Raimundo Olfos)....Pages 37-64 Introduction of Multiplication and Its Extension: How Does Japanese Introduce and Extend? (Masami Isoda, Raimundo Olfos)....Pages 65-101 Japanese Lesson Study for Introduction of Multiplication (Raimundo Olfos, Masami Isoda)....Pages 103-131 Teaching the Multiplication Table and Its Properties for Learning How to Learn (Raimundo Olfos, Masami Isoda)....Pages 133-154 The Teaching of Multidigit Multiplication in the Japanese Approach (Masami Isoda, Raimundo Olfos, Takeshi Noine)....Pages 155-195 Front Matter ....Pages 197-197 An Ethnomathematical Perspective on the Question of the Idea of Multiplication and Learning to Multiply: The Languages and Looks Involved (Claudia Georgia Sabba, Ubiratan D’Ambrosio)....Pages 199-213 “Necklaces”: A Didactic Sequence for Missing-Value Proportionality Problems (Laura Reséndiz, David Block Sevilla)....Pages 215-239 Building Opportunities for Learning Multiplication (Fátima Mendes, Joana Brocardo, Hélia Oliveira)....Pages 241-264 Can We Explain Students’ Failure in Learning Multiplication? (Maria del Carmen Chamorro)....Pages 265-289 Back Matter ....Pages 291-296