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This 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 th This 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 Educationshows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. 04 02 Foreword Preface 1 Introduction: Japanese theories and overview of chapters Part I Multiplication of Whole Numbers in Japan Comparing with other Countries 2 The Multiplication of Whole Numbers in the Curriculum: Singapore, Japan, Portugal, USA, Mexico, Brazil and Chile 3 Problematics for Conceptualization of Multiplication 4 Introduction of Multiplication and its Extension: How do JapaneseIntroduce and Extend? 5 Japanese Lesson study for Introduction of Multiplication 6 Teaching the Multiplication Table and Its Properties forLearning How to Learn 7 The Teaching of the Multi-digit Multiplicationin the Japanese Approach Part II Ibero and Ibero-American contributions for the teaching of multiplication 8. An Ethnomathematical Look at the Question of theIdea of Multiplying 9 “Necklaces”: A Didactic Sequence for Missing Value ProportionalityProblems 10 Building opportunities for learning multiplication 11 Can We Explain Students’ Failure in Learning Multiplication? 13 02 Masami Isoda, PhD, is a professor of the School of Human Sciences at the University of Tsukuba, Japan, where he is also the director of the Center for Research on International Cooperation in Educational Development. He has been a co-project overseer (representative) of the APEC Lesson Study Project (since 2006) and has been working internationally and nationally for innovation in mathematics education. His contributions have earned him the following awards: Honorary Professor by USIL, Peru (2014); Honorary PhD by KKU, Thailand (2011); Most Beautiful Book of the Year 2009 in the Area of Natural Science by Japan Publisher Association (2010); Best Software in Education by the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan (2005). His PhD thesis title is "Mathematization for Mathematics Education: an extension of the theory of Hans Freudenthal applying the representation theory of Masami Isoda with demonstration of levels of function up to calculus." He has established the theories of teaching approach such as the planning for argumentation in classroom using the theory of the conceptual and procedural knowledge in mathematics. Raimundo Olfos, PhD, is an associated professor of the Mathematics Institute of the School of Sciences at the Pontifical Catholic University of Valparaíso, Chile, where he is a teacher of the graduate program in Mathematics Didactics. As an assessor for public policies he has contributed to the ministries of Education in Chile and Peru. As a researcher he has published more than 30 papers and authored 5 books. His main research interests are curriculum development and assessment in mathematics education, and he leads communities of Lesson Study Groups in Chile and Colombia. 18 02 This 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 Educationshows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. 19 02 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 25 02 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 06 05 300 01 https://covers.springernature.com/boo... 01 01 https://www.springer.com/9783030285609 01 http://www.springer.com/ 01 Springer Nature Imprint SPR Springer 01 01 SIP Springer International Publishing 01 05 5251753 Springer International Publishing 13 Ediciones Universitarias de Valparaíso Cham CH 02 20200415 2020 01 WORLD 08 0 gr 01 235 mm 02 155 mm 27 03 9783030285616 15 9783030285616 01 ISBN-13 hyphenated 978-3-030-28561-6 DG 06 03 9783030285630 15 9783030285630 01 ISBN-13 hyphenated 978-3-030-28563-0 BC Springer International Publishing 01 ROW NP 10 20200415 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 117.69 EUR DE R 7 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 116.04 EUR FR 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 114.39 EUR IT 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 120.99 EUR AT R 10 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 109.99 EUR ROW 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 7830.00 INR IN 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 99.99 GBP GB 20180401 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 179.00 AUD AU 20180506 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 162.73 AUD AU 20180506 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 130.00 CHF CH R 2.5 20181008 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 119.89 EUR NL 20190101 Springer International Publishing 01 US 02 Y NP 10 20200415 01 Recommended Retail Price 01 BIC discount group code ADGNY2 02 Product discount group DGNY2 02 109.99 EUR ROW 20170221 01 Recommended Retail Price 01 BIC discount group code ADGNY2 02 Product discount group DGNY2 02 139.99 USD US 20180401


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This 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 th This 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 Educationshows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. 04 02 Foreword Preface 1 Introduction: Japanese theories and overview of chapters Part I Multiplication of Whole Numbers in Japan Comparing with other Countries 2 The Multiplication of Whole Numbers in the Curriculum: Singapore, Japan, Portugal, USA, Mexico, Brazil and Chile 3 Problematics for Conceptualization of Multiplication 4 Introduction of Multiplication and its Extension: How do JapaneseIntroduce and Extend? 5 Japanese Lesson study for Introduction of Multiplication 6 Teaching the Multiplication Table and Its Properties forLearning How to Learn 7 The Teaching of the Multi-digit Multiplicationin the Japanese Approach Part II Ibero and Ibero-American contributions for the teaching of multiplication 8. An Ethnomathematical Look at the Question of theIdea of Multiplying 9 “Necklaces”: A Didactic Sequence for Missing Value ProportionalityProblems 10 Building opportunities for learning multiplication 11 Can We Explain Students’ Failure in Learning Multiplication? 13 02 Masami Isoda, PhD, is a professor of the School of Human Sciences at the University of Tsukuba, Japan, where he is also the director of the Center for Research on International Cooperation in Educational Development. He has been a co-project overseer (representative) of the APEC Lesson Study Project (since 2006) and has been working internationally and nationally for innovation in mathematics education. His contributions have earned him the following awards: Honorary Professor by USIL, Peru (2014); Honorary PhD by KKU, Thailand (2011); Most Beautiful Book of the Year 2009 in the Area of Natural Science by Japan Publisher Association (2010); Best Software in Education by the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan (2005). His PhD thesis title is "Mathematization for Mathematics Education: an extension of the theory of Hans Freudenthal applying the representation theory of Masami Isoda with demonstration of levels of function up to calculus." He has established the theories of teaching approach such as the planning for argumentation in classroom using the theory of the conceptual and procedural knowledge in mathematics. Raimundo Olfos, PhD, is an associated professor of the Mathematics Institute of the School of Sciences at the Pontifical Catholic University of Valparaíso, Chile, where he is a teacher of the graduate program in Mathematics Didactics. As an assessor for public policies he has contributed to the ministries of Education in Chile and Peru. As a researcher he has published more than 30 papers and authored 5 books. His main research interests are curriculum development and assessment in mathematics education, and he leads communities of Lesson Study Groups in Chile and Colombia. 18 02 This 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 Educationshows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. 19 02 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 25 02 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 06 05 300 01 https://covers.springernature.com/boo... 01 01 https://www.springer.com/9783030285609 01 http://www.springer.com/ 01 Springer Nature Imprint SPR Springer 01 01 SIP Springer International Publishing 01 05 5251753 Springer International Publishing 13 Ediciones Universitarias de Valparaíso Cham CH 02 20200415 2020 01 WORLD 08 0 gr 01 235 mm 02 155 mm 27 03 9783030285616 15 9783030285616 01 ISBN-13 hyphenated 978-3-030-28561-6 DG 06 03 9783030285630 15 9783030285630 01 ISBN-13 hyphenated 978-3-030-28563-0 BC Springer International Publishing 01 ROW NP 10 20200415 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 117.69 EUR DE R 7 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 116.04 EUR FR 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 114.39 EUR IT 20170221 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 120.99 EUR AT R 10 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 109.99 EUR ROW 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 7830.00 INR IN 20170221 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 99.99 GBP GB 20180401 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 179.00 AUD AU 20180506 01 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 162.73 AUD AU 20180506 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 130.00 CHF CH R 2.5 20181008 02 Recommended Retail Price 01 BIC discount group code ASPVB0 02 Product discount group SPVB0 02 119.89 EUR NL 20190101 Springer International Publishing 01 US 02 Y NP 10 20200415 01 Recommended Retail Price 01 BIC discount group code ADGNY2 02 Product discount group DGNY2 02 109.99 EUR ROW 20170221 01 Recommended Retail Price 01 BIC discount group code ADGNY2 02 Product discount group DGNY2 02 139.99 USD US 20180401

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