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Edited by Yeping Li and Rongjin Huang

While the importance of knowledge for effective instruction has long been acknowledged, and the concept and structure of mathematics knowledge for teaching are far from being new, the process of such knowledge acquisition and improvement remains underexplored empirically and theoretically. The difficulty can well associate with the fact that different education systems embody different values for what mathematics teachers need to learn and how they can be assisted to develop their knowledge. To improve this situation with needed consideration about a system context and policies, 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. The book includes such chapters that can help readers to make possible connections of teachers’ mathematical knowledge for teaching in China with educational policies and program structures for mathematics teacher education in that system context.

How Chinese Acquire and Improve Mathematics Knowledge for Teaching brings invaluable inspirations and insights to mathematics educators and teacher educators who wish to help teachers improve their knowledge, and to researchers who study this important topic beyond a static knowledge conception.

Teaching and Learning Mathematics through Variation

Confucian Heritage Meets Western Theories


Edited by Rongjin Huang and Yeping Li

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.


Edited by Yeping Li and Janet Hammer

This book presents a new and important scholarship on teaching, at the time when studies on teaching in teacher education are long overdue. This book is designed to put together such a set of chapters contributed by those teacher educators who are not only taking teaching as a professional practice, but also upholding teaching improvement as a scholarly pursuit that needs collaboration and systematic studies.

Teaching at Work refers to not only the importance of effective teaching in K-12 classrooms and teacher preparation, but also the importance of taking teaching and its improvement as a subject of scholarly studies. In the field of teacher preparation, this book aims to make timely knowledge contribution and is positioned to stimulate further discussion and exploration on teaching and its improvement.

The book contains 13 chapters by 35 scholars in the United States. This collection presents many innovative teaching practices and approaches as well as provides new insights into this topic of interest to teacher educators, researchers, and graduate students who wish to learn about various teaching approaches and practices for advancing teacher preparation.

Proficiency and Beliefs in Learning and Teaching Mathematics

Learning from Alan Schoenfeld and Günter Törner


Edited by Yeping Li and Judit N. Moschkovich

Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learning and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various backgrounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background—Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education.
The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues.

Reforms and Issues in School Mathematics in East Asia

Sharing and Understanding Mathematics Education Policies and Practices


Edited by Frederick Koon Shing Leung and Yeping Li

Worldwide efforts to improve students’ learning of mathematics have turned educational researchers’ attention to some high-achieving education systems, especially those in East Asia including Chinese Mainland, Hong Kong, Japan, Singapore, South Korea and Taiwan. However, there is much less sharing and learning of educational policy and practices that goes beyond one or two such high-achieving education systems. At this time when educational changes and reforms for improving students’ learning of mathematics are also underway within these high-achieving education systems in East Asia, it becomes timely and important for the world to learn why and how relevant changes take place across these selected education systems. This book has put together a set of papers that individually presents issues on the changing mathematics curriculum and teacher education in the six high-achieving education systems in East Asia. Collectively, the book extends beyond what we can learn about exemplary practices in individual education systems in East Asia. It helps us develop a better understanding of the interplay between various measures for the pursuit of excellence in mathematics curriculum and teacher education on the one hand, and the different system contexts on the other. The intended readers of the book include education policy makers, curriculum developers, researchers, teachers, teacher educators, and anyone else interested in school mathematics curriculum and teacher education.