How Chinese Acquire And Improve Mathematics Knowledge For Teaching
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How Chinese Acquire and Improve Mathematics Knowledge for Teaching by Yeping Li,Rongjin Huang Pdf
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.
How Chinese Teach Mathematics and Improve Teaching by Yeping Li,Rongjin Huang Pdf
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.
How Chinese Teach Mathematics by Lianghuo Fan,Ngai-Ying Wong,Jinfa Cai Pdf
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 by Yeping Li,Rongjin Huang Pdf
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 Learn Mathematics by Fan Lianghuo,Wong Ngai-Ying,Cai Jinfa,Li Shiqi Pdf
' The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the relevant research findings, the book explores the implications for mathematics education and offers sound suggestions for reform and improvement. This book is a must for anyone who is interested in the teaching and learning of mathematics concerning Chinese learners. Contents:Overview and International Perspectives:How Have Chinese Students Performed in Mathematics? A Perspective from Large-Scale International Comparisons (L-H Fan & Y Zhu)The Mathematics Curriculum: Toward Globalization or Westernization? (N-Y Wong et al.)Thinking Mathematically by Chinese Learners: A Cross-National Comparative Perspective (J-F Cai & V Cifarelli)An Examination of Coherence in a Chinese Mathematics Classroom (T Wang & J Murphy)A Chinese Cultural Model of Learning (J Li)Official Curriculum in Mathematics in Ancient China: How Did Candidates Study for the Examination? (M K Siu)Context and Teaching Materials:The “Two Basics”: Mathematics Teaching and Learning in Mainland China (D-Z Zhang et al.)A Comparative Study on Composite Difficulty between New and Old Chinese Mathematics Textbooks (J-S Bao)Textbook Use Within and Beyond Chinese Mathematics Classrooms: A Study of 12 Secondary Schools in Kunming and Fuzhou of China (L-H Fan et al.)Thorough Understanding of the Textbook: A Significant Feature of Chinese Teacher Manuals (J-H Li)Effects of Cram Schools on Children's Mathematics Learning (H M Huang)Pedagogy and Learning Processes:Teaching with Variation: A Chinese Way of Promoting Effective Mathematics Learning (L-Y Gu et al.)Cracking the Paradox of Chinese Learners: Looking into the Mathematics Classrooms in Hong Kong and Shanghai (R-J Huang & K S Leung)Identifying a Pattern of Teaching: An Analysis of a Shanghai Teacher's Lessons (F Lopez-Real et al.)Differences Within Communalities: How Is Mathematics Taught in Rural and Urban Regions in Mainland China? (Y-P Ma et al.)Teaching Approach: Theoretical or Experimental? (J Li)Capturing the Chinese Way of Teaching: The Learning-Questioning and Learning-Reviewing Instructional Model (S-H An)The Effects of Different Representations on Mathematics Learning of Chinese Children (B-Y Xu)Inspiration and Future Directions:The CHC Learner's Phenomenon: Its Implications on Mathematics Education (N-Y Wong)How Do Chinese Learn Mathematics? Some Evidence-Based Insights and Needed Directions (J-F Cai et al.) Readership: Researchers, educators, lecturers, and graduate students in mathematics and education. Keywords:Chinese Education;Chinese Learners;Mathematics Education;Cultural Influence;Teaching and Learning;Chinese ClassroomsKey Features:Represents a concerted research effort in mathematics education of Chinese learners, the first of its kindContains contributions from the world's leading scholars and most active researchers in this area and beyondProvides comprehensive coverage and insiders' perspectives on relevant issuesReviews: “A noteworthy feature of the book is that eleven of the chapter authors work in mainland China … The edited collection is a significant contribution to the research literature and provides an important resource in the field.” Research in Mathematics Education “In a context of revolving reforms of the mathematical curricula in the West, the research presented in How Chinese Learn Mathematics certainly gives a lot of food for thought about effectively combining a problem-oriented approach to basic mathematical knowledge and skills with a conceptual and abstract representation of mathematical objects.”EASTM “The book copes with the issue of mathematics education in a culturally attentive way and offer hints to reconsider policies on mathematics education in the Western world. Hence, it should be present in the library of each education department.”EMS Newsletter '
Knowing and Teaching Elementary Mathematics by Liping Ma Pdf
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.
The 21st Century Mathematics Education in China by Yiming Cao,Frederick K.S. Leung Pdf
This book intends to provide a comprehensive introduction to the status of development of Chinese mathematics education in the 21st century. To this end, the book summarizes and presents the research and practices of Chinese mathematics education in the following aspects: (1) characteristics of Chinese school mathematics curriculum and textbooks, (2) Chinese ways and strategies of teaching mathematics and the characteristics of mathematics classroom instruction in China, (3) Chinese instructional practices in developing (both gifted and underachieving) students’ mathematical capabilities, (4) how professional development of mathematics teachers is promoted in China, including mathematics teachers’ pre-service and in-service education, and how Chinese mathematics teachers design and implement teaching and research activities, and (5) how mathematics education is assessed and evaluated, including how to evaluate teachers’ teaching and students’ achievements. Relevant research in Chinese mathematics education involving methods of surveys, interviews, text analysis, etc., are reviewed and analyzed. Results of a number of video studies of Chinese mathematics classroom teaching and learning are also integrated into this book.
Chinese Students' Higher Achievement in Mathematics by Dacheng Zhao Pdf
This book shares insights into the achievement gap in mathematics between East Asian and Western countries, and the ways to improve students’ mathematics achievements. Especially, it highlights the importance to integrate case studies with large-scale international comparative studies in general, and comparative studies of mathematics education in particular. This book is a must-read for mathematics teachers, mathematics educators, educational researchers, education administrators, curriculum developers, assessment designers, and student teachers who are interested in mathematics education and how to improve students’ mathematics achievements.
Reciprocal Learning for Cross-Cultural Mathematics Education by Sijia Cynthia Zhu,Shu Xie,Yunpeng Ma,Douglas McDougall Pdf
This edited volume examines new ways of teaching mathematics through a cross-cultural reciprocal learning project between sister schools in Canada and China. Situating teacher learning in the intersection of the two different school systems, curriculums, and cultures of mathematics learning and teaching in both nations, this volume offers teachers a unique and much-needed perspective on how practices between countries become more and more likely shaped by each other in the emerging global society. Born out of a comparative study project sponsored by the SSHRC, this volume compiles five years' worth of findings from reciprocal partnerships between researchers, teachers, school administrators, and students from both nations. Through the process of reciprocal learning and narrative inquiry, the research described in these chapters illuminates the unknown and shares newly-created mathematics education knowledge.
Teaching and Learning Mathematics through Variation by Rongjin Huang,Yeping Li Pdf
"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"
Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks by Edna O. Schack,Molly H. Fisher,Jennifer A. Wilhelm Pdf
This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research. The authors also investigate teacher noticing in multiple contexts and frameworks, including mathematics, science, international venues, and various age groups.
Professional Development of Mathematics Teachers by Berinderjeet Kaur,Oh Nam Kwon,Yew Hoong Leong Pdf
This book offers a counterpart to the extensive corpus of literature available on the same topic from a Western perspective. It showcases innovative approaches to professional development of mathematics teachers in Asian countries, and reports on both empirical and expository studies of teachers’ professional development in these counties. It provides scholars from non-English-speaking and under-represented Asian countries the opportunity to engage in discourse with other scholars in the field, and is the first book to present substantial contributions from scholars in Asia on the professional development of mathematics teachers in their respective countries. It includes perspectives that shed valuable light on how the approaches pursued in Asian countries resemble or differ from those in the West.
International Handbook of Mathematics Teacher Education: Volume 1 by Anonim Pdf
Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally.
Theory and Practice of Lesson Study in Mathematics by Rongjin Huang,Akihiko Takahashi,João Pedro da Ponte Pdf
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. 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. Chapter 15: "How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.com Theory and Practice of Lesson Study in Mathematics: An International Perspective 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. (Max Stephens, Senior research fellow at The University of Melbourne) It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving 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. (Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)
