Akihiko Takahashi – författare

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country.Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country.Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Teaching Powerful Problem-Solving in Math provides the first in-depth portrait of schoolwide lesson study, showing how U.S. teachers at several schools used it to implement powerful problem-based mathematics instruction.Students learn mathematics by confronting a novel problem and building the new understanding of the mathematical concepts needed to solve it, just as mathematicians would. By learning in this way, students discover the power of their own thinking and gain confidence that extends well beyond mathematics.This book introduces readers to urban elementary and K–8 schools where teachers have dramatically transformed math learning for teachers and for students. Readers will follow teachers as they transform instruction using schoolwide lesson study, building powerful new ways for educators to learn from each other and practice innovative teaching techniques. The authors use in-depth classroom portraits (from the outset of schoolwide lesson study and three years later) to illuminate the changes in mathematics instruction at a school that raised its proficiency on Smarter Balanced Assessment from 15% to 56%. Extensive resources and links are provided to help readers understand and build on the work of these schools which is grounded in established principles of collective efficacy, intrinsic motivation, and learner agency for both students and teachers.Book Features:Shows how teaching through problem-solving can erase the achievement gap in mathematics learning.Provides the first in-depth portrait of schoolwide lesson study, showing how U.S. teachers at several schools build it and use it to transform teaching.Profiles teachers leading the transformation of instruction to achieve the ambitious vision of learning embodied in recent standards.Uses photographs, student work, and detailed classroom descriptions to bring to life mathematics lessons in year 1 and year 4 of the school’s work to build problem-solving.Provides examples and links to the strategies teachers use to make student thinking visible (and actionable) during mathematics lessons.Includes lesson plans, photographs of board work, student journals, school newsletters, self-assessment rubrics and dozens of links to the resources needed to begin using teaching through problem-solving and school-wide lesson study.Provides long-term, teacher-led solutions for professional learning and for mathematics instruction that have been shown to improve teacher retention and student proficiency.

Teaching Powerful Problem-Solving in Math provides the first in-depth portrait of schoolwide lesson study, showing how U.S. teachers at several schools used it to implement powerful problem-based mathematics instruction.Students learn mathematics by confronting a novel problem and building the new understanding of the mathematical concepts needed to solve it, just as mathematicians would. By learning in this way, students discover the power of their own thinking and gain confidence that extends well beyond mathematics.This book introduces readers to urban elementary and K–8 schools where teachers have dramatically transformed math learning for teachers and for students. Readers will follow teachers as they transform instruction using schoolwide lesson study, building powerful new ways for educators to learn from each other and practice innovative teaching techniques. The authors use in-depth classroom portraits (from the outset of schoolwide lesson study and three years later) to illuminate the changes in mathematics instruction at a school that raised its proficiency on Smarter Balanced Assessment from 15% to 56%. Extensive resources and links are provided to help readers understand and build on the work of these schools which is grounded in established principles of collective efficacy, intrinsic motivation, and learner agency for both students and teachers.Book Features:Shows how teaching through problem-solving can erase the achievement gap in mathematics learning.Provides the first in-depth portrait of schoolwide lesson study, showing how U.S. teachers at several schools build it and use it to transform teaching.Profiles teachers leading the transformation of instruction to achieve the ambitious vision of learning embodied in recent standards.Uses photographs, student work, and detailed classroom descriptions to bring to life mathematics lessons in year 1 and year 4 of the school’s work to build problem-solving.Provides examples and links to the strategies teachers use to make student thinking visible (and actionable) during mathematics lessons.Includes lesson plans, photographs of board work, student journals, school newsletters, self-assessment rubrics and dozens of links to the resources needed to begin using teaching through problem-solving and school-wide lesson study.Provides long-term, teacher-led solutions for professional learning and for mathematics instruction that have been shown to improve teacher retention and student proficiency.

Offering voices from the field – the first of its kind outside of Japan – this guide to teaching and learning elementary mathematics highlights real case examples from teachers and educators who share what they have learned through Lesson Study.The teachers’ reports provide vivid examples of new insights and ideas about mathematics, about pedagogy and lesson design, about student learning, and about professional collaboration gained through Lesson Study. Each report includes an abbreviated plan of the specific research lesson that led to the new insights, which readers can draw from to replicate the powerful learning in their own community. The case examples of this book are from Lesson Study in mathematics, elementary to lower secondary grade levels, focused on what teachers and educators have learned about improving mathematics teaching and learning; but many ideas from each report can be applied to other subjects and different grade levels.This unique book will be an excellent resource for mathematics teachers in training and practice who seek to improve mathematics teaching and learning in their own and others’ classrooms, including researchers and school administrators who lead professional development.

Offering voices from the field – the first of its kind outside of Japan – this guide to teaching and learning elementary mathematics highlights real case examples from teachers and educators who share what they have learned through Lesson Study.The teachers’ reports provide vivid examples of new insights and ideas about mathematics, about pedagogy and lesson design, about student learning, and about professional collaboration gained through Lesson Study. Each report includes an abbreviated plan of the specific research lesson that led to the new insights, which readers can draw from to replicate the powerful learning in their own community. The case examples of this book are from Lesson Study in mathematics, elementary to lower secondary grade levels, focused on what teachers and educators have learned about improving mathematics teaching and learning; but many ideas from each report can be applied to other subjects and different grade levels.This unique book will be an excellent resource for mathematics teachers in training and practice who seek to improve mathematics teaching and learning in their own and others’ classrooms, including researchers and school administrators who lead professional development.

This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools.Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will:understand the essence of Lesson Study, considered as CLR, and its important featuresbe advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactmentbe advised on how to develop, embed, and sustain CLR communitiespreview potential outcomes over time from undertaking CLRResearch lesson proposals and plans to support readers in understanding CLR are also included.Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics.

This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools.Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will:understand the essence of Lesson Study, considered as CLR, and its important featuresbe advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactmentbe advised on how to develop, embed, and sustain CLR communitiespreview potential outcomes over time from undertaking CLRResearch lesson proposals and plans to support readers in understanding CLR are also included.Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics.

This new edition from renowned mathematics education scholar Akihiko Takahashi offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. The new edition has additional classroom data and lesson examples included, as well as updated citations throughout. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Chapters showcase TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. New to this edition are classroom case studies, examples for additional grade bands, more visuals, and how to overcome challenges when implementing or justifying TTP. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

This new edition from renowned mathematics education scholar Akihiko Takahashi offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. The new edition has additional classroom data and lesson examples included, as well as updated citations throughout. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Chapters showcase TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. New to this edition are classroom case studies, examples for additional grade bands, more visuals, and how to overcome challenges when implementing or justifying TTP. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

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.comTheory 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 TheUniversity 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.)

This book introduces the specifics of mathematics lesson study with regard to regional/national particularities, discussing the methodological and theoretical tools that can be used to pursue research on lesson study (its forms, contents, effects etc.) from an international perspective.

This book introduces the specifics of mathematics lesson study with regard to regional/national particularities, discussing the methodological and theoretical tools that can be used to pursue research on lesson study (its forms, contents, effects etc.) from an international perspective. Lesson study and learning study (LS) are becoming increasingly important in teacher education, mostly in continuous professional development, but also in prospective teachers’ education, and this interest is accompanied by a demand for more solid theorization of the lesson study process. A number of social, cultural, cognitive and affective issues are reflected in the way LS develops, and the book examines the latest results of these developments.

This book is the Proceedings of the International Workshop on Finance 2011, held in Kyoto in the summer of 2011 with the aim of exchanging new ideas in financial engineering among researchers from various countries from both academia and industry. The workshop was held as a successor to the Daiwa International Workshop (2004-2008), and the KIER-TMU International Workshop (2009-2010). This workshop was organized by the Center for Advanced Research in Finance (CARF), Graduate School of Economics, the University of Tokyo, and Graduate School of Social Sciences, Tokyo Metropolitan University — and co-organized by Life Risk Research Center, Doshisha University.The workshop serves as a bridge between academic researchers and practitioners. This book contains about fifteen papers, all refereed, representing the presentations at the workshop. The papers address state-of-the-art techniques in financial engineering.

Recent Advances in Financial Engineering 2012 is the Proceedings of the International Workshop on Finance 2012, which was held at the University of Tokyo on October 30 and 31, 2012. This workshop was organized by the Center for Advanced Research in Finance (CARF), Graduate School of Economics, the University of Tokyo, and Graduate School of Social Sciences, Tokyo Metropolitan University (TMU).This annual workshop, which was first held in 2011, is a successor to the Daiwa International Workshop (2004 to 2008) and the KIER-TMU International Workshop (2009 to 2010). The workshop was designed for the exchange of new ideas in financial engineering and to serves as a bridge between academic researchers and practitioners. To these ends, the speakers shared various interesting ideas, information on new methods, and their up-to-date research results. In the 2012 workshop, we invited nine leading scholars, including three keynote speakers, from various countries, and the two-day workshop resulted in many fruitful discussions.The book consists of eight papers, all refereed, that were related to the presentations at the International Workshop on Finance 2012. In these papers, the latest concepts, methods, and techniques related to current topics in financial engineering are proposed and reviewed.