Teaching And Learning Of Knot Theory In School Mathematics
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Teaching And Learning Of Knot Theory In School Mathematics
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Author : Akio Kawauchi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-27
Teaching And Learning Of Knot Theory In School Mathematics written by Akio Kawauchi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-27 with Mathematics categories.
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching experiments at all levels which not only demonstrate the creativity and the professional expertise of the members of the study group, but also give a lively impression of students’ learning processes. In addition the reports show that elementary knot theory is not just a preparation for advanced knot theory but also an excellent means to develop spatial thinking. The book can be highly recommended for several reasons: First of all, and that is the main intention of the book, it serves as a comprehensive text for teaching and learning knot theory. Moreover it provides a model for cooperation between mathematicians and mathematics educators based on substantial mathematics. And finally it is a thorough introduction to the Japanese art of lesson studies–again in the context of substantial mathematics.
Teaching And Learning Of Knot Theory In School Mathematics
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Author : Akio Kawauchi
language : en
Publisher: Springer
Release Date : 2012-06-27
Teaching And Learning Of Knot Theory In School Mathematics written by Akio Kawauchi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-27 with Mathematics categories.
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching experiments at all levels which not only demonstrate the creativity and the professional expertise of the members of the study group, but also give a lively impression of students’ learning processes. In addition the reports show that elementary knot theory is not just a preparation for advanced knot theory but also an excellent means to develop spatial thinking. The book can be highly recommended for several reasons: First of all, and that is the main intention of the book, it serves as a comprehensive text for teaching and learning knot theory. Moreover it provides a model for cooperation between mathematicians and mathematics educators based on substantial mathematics. And finally it is a thorough introduction to the Japanese art of lesson studies–again in the context of substantial mathematics.
The Proceedings Of The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-02-10
The Proceedings Of The 12th International Congress On Mathematical Education written by Sung Je Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-10 with Education categories.
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
Connecting Mathematics And Mathematics Education
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Author : Erich Christian Wittmann
language : en
Publisher: Springer Nature
Release Date : 2020-12-09
Connecting Mathematics And Mathematics Education written by Erich Christian Wittmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-09 with Education categories.
This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
Design Science And Its Importance In The German Mathematics Educational Discussion
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Author : Marcus Nührenbörger
language : en
Publisher: Springer
Release Date : 2016-07-26
Design Science And Its Importance In The German Mathematics Educational Discussion written by Marcus Nührenbörger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Education categories.
This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research. Within the German-language tradition, considering ‘mathematics education as a design science’ primarily draws on the works of Wittmann. The core of this approach constitutes designing and investigating learning environments that involve substantial mathematics.
Contemporary Environmental And Mathematics Education Modelling Using New Geometric Approaches
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Author : Susan Gerofsky
language : en
Publisher: Springer
Release Date : 2018-07-09
Contemporary Environmental And Mathematics Education Modelling Using New Geometric Approaches written by Susan Gerofsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Education categories.
This book takes a fresh approach to using educational tools to solve profound problems in societies. The authors bring perspectives from curriculum studies, mathematics education, environmental education, and Indigenous epistemologies to a new consideration of “geometries to think with”. These tools reveal the wealth of resources and interrelationships in our world that have the potential to reconfigure and revitalize education. The transdisciplinary nature of the chapters and authors emphasizes the need for thinking beyond boundaries, while respecting the wisdom inherent in intellectual disciplines and traditions.
How Chinese Acquire And Improve Mathematics Knowledge For Teaching
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Author : Yeping Li
language : en
Publisher: BRILL
Release Date : 2018-05-16
How Chinese Acquire And Improve Mathematics Knowledge For Teaching written by Yeping Li and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Education categories.
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.
Cross Curricular Teaching And Learning In The Secondary School Mathematics
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Author : Robert Ward-Penny
language : en
Publisher: Routledge
Release Date : 2010-12-02
Cross Curricular Teaching And Learning In The Secondary School Mathematics written by Robert Ward-Penny and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Education categories.
Cross-curricular approaches have much to offer the modern mathematics classroom. They can help teachers to present mathematics as a growing, relevant discipline that is central to much of modern life, and help learners to make sense of what they are doing and why.
Disciplinary Aesthetics The Role Of Taste And Affect For Teaching And Learning Specific School Subjects
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Author : Per-Olof Wickman
language : en
Publisher: Frontiers Media SA
Release Date : 2024-04-04
Disciplinary Aesthetics The Role Of Taste And Affect For Teaching And Learning Specific School Subjects written by Per-Olof Wickman and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-04 with Science categories.
The Knot Book
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Author : Colin Conrad Adams
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Knot Book written by Colin Conrad Adams and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.