How Chinese Learn Mathematics

The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics

This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, How Chinese Learn Mathematics: Perspectives from Insiders, this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners. Contents:Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An IntroductionHistorical and Contemporary Perspectives:The Wisdom of Traditional Mathematical Teaching in China (DAI Qin and CHEUNG Ka Luen) How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research (FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida) Understanding the Chinese Ways of Teaching Mathematics: Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning (HUANG Rongjin, MILLER L Diane and TZUR Ron)Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence (WANG Tao, CAI Jinfa and HWANG Stephen) Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan (HUANG Hsin-Mei E) Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai (FANG Yanping) Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands (LI Titus Siu Pang) Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan (YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)Teaching Geometrical Theorems in Grade 8 Using the “Shen Tou” Method: A Case Study in Shanghai (DING Liping, JONES Keith and ZHANG Dianzhou) Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland (HUANG Xingfeng, YANG Jinglei and LI Shiqi) Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities (XU Binyan and ZHU Guangtian)A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors (LEE Yuan-Shun and LIN Fou-Lai) Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons (MA Yunpeng and ZHAO Dongchen) Qingpu Mathematics Teaching Reform and Its Impact on Student Learning (GU Lingyuan, YANG Yudong and HE Zhenzhen)Chinese Mathematics Teachers, Teacher Education and Teacher Professional Development:Beliefs, Knowledge and Teaching: A Series of Studies about Chinese Mathematics Teachers (ZHANG Qiaoping and WONG Ngai-Ying)What Makes a Master Teacher? A Study of Thirty-One Mathematics Master Teachers in Chinese Mainland (FAN Lianghuo, ZHU Yan and TANG Caibin)Chinese Teachers' Mathematics Beliefs in the Context of Curriculum Reform (CHEN Qian and LEUNG Koon Shing Frederick) "Same Content Different Designs" Activities and Their Impact on Prospective Mathematics Teachers' Professional Development: The Case of Nadine (YUAN Zhiqiang and LI Xuhui)Exploration into Chinese Mathematics Teachers' Perceptions of Concept Map (JIN Haiyue, LU Jun and ZHONG Zhihua) Assisting Teachers in Maintaining High-Level Cognitive Demands of Mathematical Tasks in Classroom Practices: A Training Course in Taiwan (LIN Pi-Jen and TSAI Wen-Huan) The Relationships between Religious Beliefs and Teaching among Mathematics Teachers in Chinese Mainland, Taiwan and Hong Kong (LEU Yuh-Chyn, CHAN Yip-Cheung and WONG Ngai-Ying)Epilogue: Why the Interest in the Chinese Learner? (FAN Lianghuo, WONG Ngai-Ying, CAI Jinfa and LI Shiqi) Readership: Researchers, educators, lecturers, and graduate students in mathematics and education. Keywords:Mathematics;Mathematics Teaching and Learning;Mathematics Education;Chinese Education;China Study;Asian EducationKey Features:Concerted research effort. The book is well-planned, structured, and organizedUnique treatment of the topic: comprehensive and in-depth coverage on teaching, teacher, and teacher education for a wide range of international readersProminent authors and contributors: Many of them are the world's leading scholars or most active researchers

Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, "How Chinese Learn Mathematics: Perspectives from Insiders," this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.Contents: Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An Introduction"Historical and Contemporary Perspectives: "The Wisdom of Traditional Mathematical Teaching in China "(DAI Qin and CHEUNG Ka Luen)" How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research "(FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida)" "Understanding the Chinese Ways of Teaching Mathematics: " Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning "(HUANG Rongjin, MILLER L Diane and TZUR Ron)"Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence "(WANG Tao, CAI Jinfa and HWANG Stephen)" Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan "(HUANG Hsin-Mei E)" Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai "(FANG Yanping)" Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands "(LI Titus Siu Pang)" Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan "(YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)"Teaching Geometrical Theorems in Grade 8 Using the "Shen Tou" Method: A Case Study in Shanghai "(DING Liping, JONES Keith and ZHANG Dianzhou)" Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland "(HUANG Xingfeng, YANG Jinglei and LI Shiqi)" Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities "(XU Binyan and ZHU Guangtian)"A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors "(LEE Yuan-Shun and LIN Fou-Lai)" Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons "(MA Yunpeng and ZHAO Dongchen)" Qingpu Mathematics Teaching Reform and Its Impact on Student Learning "(GU Lingyuan, YANG Yudong and HE Zhenzhen)""Chinese Mathematics Teachers, Teacher Educati

How Chinese Teach Mathematics and Improve Teaching builds upon existing studies to examine mathematics classroom instruction in China. It combines contributions from Chinese scholars with commentary from key Western scholars to offer a truly systematic examination of some important and distinctive features of mathematics classroom instruction. Viewing classroom instruction as part of teachers' instructional practices, this book goes beyond teachers' in-classroom instructional practice by also examining Chinese teachers' approaches and practices in developing and improving teaching. Through this unique approach, How Chinese Teach Mathematics and Improve Teaching expands and unpacks the otherwise fragmented knowledge about Chinese practices in developing and carrying out mathematics classroom instruction.

How Chinese Teach Mathematics and Improve Teaching builds upon existing studies to examine mathematics classroom instruction in China. It combines contributions from Chinese scholars with commentary from key Western scholars to offer multiple perspectives in viewing and learning about some important and distinctive features of mathematics classroom instruction. Viewing classroom instruction as part of teachers’ instructional practices, this book goes beyond teachers’ in-classroom instructional practice by also examining Chinese teachers’ approaches and practices in developing and improving teaching. Through this unique approach, How Chinese Teach Mathematics and Improve Teaching expands and unpacks the otherwise fragmented knowledge about Chinese practices in developing and carrying out mathematics classroom instruction. This book is indispensible reading for those interested in Chinese practices in mathematics teaching, and is a key book for teacher educators, school administrators and policy makers in expanding ways of supporting and helping mathematics teachers in instructional development and improvement.

This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.

How Chinese Acquire and Improve Mathematics Knowledge for Teaching takes a unique approach to present new research that views knowledge acquisition and improvement as part of teachers’ life-long professional learning process in China.