The Legacy Of Felix Klein
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The Legacy Of Felix Klein
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Author : Hans-Georg Weigand
language : en
Publisher: Springer
Release Date : 2018-12-11
The Legacy Of Felix Klein written by Hans-Georg Weigand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-11 with Education categories.
This open access book provides an overview of Felix Klein’s ideas, highlighting developments in university teaching and school mathematics related to Klein’s thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein’s ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein’s ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint.
The Legacy Of Felix Klein
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Author : Gert Schubring
language : en
Publisher:
Release Date : 2020-10-08
The Legacy Of Felix Klein written by Gert Schubring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Education categories.
This open access book provides an overview of Felix Klein's ideas, highlighting developments in university teaching and school mathematics related to Klein's thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein's ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein's ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
The Legacy Of Tatjana Afanassjewa
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Author : Jos Uffink
language : en
Publisher: Springer Nature
Release Date : 2020-11-28
The Legacy Of Tatjana Afanassjewa written by Jos Uffink and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-28 with Science categories.
This book presents a collection of essays that explore the life and works of Tatjana Afanassjewa (1876–1964), a Russian–Dutch physicist–mathematician. Readers will discover a scientist whose work on the foundations of thermodynamics significantly influenced the field itself as well as the philosophy of physics. This book highlights the philosophical consequences of her work in physics and mathematics and discusses historical aspects of her writings on the foundations of physics. In addition, it features English translations and critical reviews of key selections from her texts. First and foremost, the book highlights the numerous contributions that Afanassjewa made to the field. In particular, the authors examine her work on the foundations of thermodynamics and statistical physics, starting in the 1920s and extending to 1956, well after the untimely death of her husband in 1933. They also explore her almost entirely forgotten work on the didactics of mathematics. In addition, they discuss her influential collaboration with her husband, the Austrian physicist Paul Ehrenfest (1880–1933). The portrait that emerges is that of a highly original physicist and mathematician, whose legacy continues to influence scientists and philosophers today and whose lesser-known works deserve more attention than they have received. Readers will find a rich body of work that continues to this day to yield insights into the foundations of physics and mathematics.
Proceedings Of The 13th International Congress On Mathematical Education
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Author : Gabriele Kaiser
language : en
Publisher: Springer
Release Date : 2017-10-31
Proceedings Of The 13th International Congress On Mathematical Education written by Gabriele Kaiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Education categories.
This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.
History Of Mathematics And Its Contexts
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Author : Andrea Verdugo Rohrer
language : en
Publisher: Springer Nature
Release Date : 2024-11-01
History Of Mathematics And Its Contexts written by Andrea Verdugo Rohrer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.
This book celebrates Gert Schubring's 80th birthday and honors his impactful contributions to the field of history of mathematics and its education. Recognized with the prestigious Hans Freudenthal Award in 2019, Schubring's academic work sets the tone for this volume. The thoughtfully curated articles in this collection offer insightful studies on textbooks and biographies of key figures in mathematics and mathematics education, contextualizing their significance within the broader historical landscape, and providing the readers with a deeper understanding of the development of the history of mathematics and its education. Researchers as well as curious readers and students will find this collection to be a valuable resource in the field.
The Legacy Of Niels Henrik Abel
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Author : Olav Arnfinn Laudal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
The Legacy Of Niels Henrik Abel written by Olav Arnfinn Laudal 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 2011-06-28 with Mathematics categories.
This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century. It is accompanied by a CD-ROM with a large amount of information related to Niels Henrik Abel, such as on the Abel Centennial in 1902 and the Abel Bicentennial Conference in 2002, the launching of the Abel Prize, Abel monuments, and stamps, banknotes, coins etc. issued in honour of Niels Henrik Abel.
Formulations
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Author : Andrew Witt
language : en
Publisher: MIT Press
Release Date : 2022-01-11
Formulations written by Andrew Witt and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-11 with Architecture categories.
An investigation of mathematics as it was drawn, encoded, imagined, and interpreted by architects on the eve of digitization in the mid-twentieth century. In Formulations, Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics. The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design. Witt offers a catalog of mid-twentieth-century practices of mathematical drawing and calculation in design that preceded and anticipated digitization as well as an account of the formal compendia that became a cultural currency shared between modern mathematicians and modern architects. Witt presents a series of extensively illustrated “biographies of method”—episodes that chart the myriad ways in which mathematics, particularly the mathematical notion of modeling and drawing, was spliced into the creative practice of design. These include early drawing machines that mechanized curvature; the incorporation of geometric maquettes—“theorems made flesh”—into the toolbox of design; the virtualization of buildings and landscapes through surveyed triangulation and photogrammetry; formal and functional topology; stereoscopic drawing; the economic implications of cubic matrices; and a strange synthesis of the technological, mineral, and biological: crystallographic design. Trained in both architecture and mathematics, Witt uses mathematics as a lens through which to understand the relationship between architecture and a much broader set of sciences and visual techniques. Through an intercultural exchange with other disciplines, he argues, architecture adapted not only the shapes and surfaces of mathematics but also its values and epistemic ideals.
The Legacy Of Mario Pieri In Geometry And Arithmetic
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Author : Elena Anne Marchisotto
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05
The Legacy Of Mario Pieri In Geometry And Arithmetic written by Elena Anne Marchisotto 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 2007-12-05 with Mathematics categories.
This book is the first in a series of three volumes that comprehensively examine Mario Pieri’s life, mathematical work and influence. The book introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations — one in arithmetic and one in geometry. The book combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index. And yet the book requires no specialized experience in mathematical logic or the foundations of geometry.
Proceedings Of The 14th International Congress On Mathematical Education In 2 Volumes
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Author : Jianpan Wang
language : en
Publisher: World Scientific
Release Date : 2024-06-07
Proceedings Of The 14th International Congress On Mathematical Education In 2 Volumes written by Jianpan Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
The International Congress on Mathematical Education (ICME) is the largest international conference on mathematics education in the world. This quadrennial event is organized under the auspices of the International Commission on Mathematical Instruction (ICMI). This book, the Proceedings of ICME-14, presents the latest trends in mathematics education research and mathematics teaching practices at all levels. Each chapter covers an extensive range of topics in mathematics education.Volume I consists of 4 Plenary Lectures, 3 Plenary Panels, 5 Lectures of Awardees, 4 Survey Teams, 62 Topic Study Groups, 13 Discussion Groups, 20 Workshops, a Thematic Afternoon, and an Early Career Researcher Day. Plenary Lectures recognize substantial and continuing contributions to the growth of the field of Mathematics Education. Plenary Panels address three major challenges currently facing mathematics educators across the globe. The Survey Teams have a particular emphasis on identifying and characterizing important new knowledge, recent developments, new perspectives, and emergent issues. The Topic Study Groups provides a coverage of important topics in mathematics education.Volume II consists of 50 invited lectures which present the work and reflections of both established and emerging researchers from around the world. These lectures cover a wide spectrum of topics, themes and issues that reflect the latest challenges and development in the field of mathematics education.
Culture Matters To Mathematics Teaching And Learning
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Author : Mun Yee Lai
language : en
Publisher: Springer Nature
Release Date : 2025-07-19
Culture Matters To Mathematics Teaching And Learning written by Mun Yee Lai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-19 with Education categories.
This book, compiled in honor of Chair Professor Frederick K. S. Leung, contributes to revisiting, renewing and enriching the knowledge of cultural matters to mathematics education, widening the horizon in the use of cultural perspectives to explain the characteristics of classroom teaching and learning in East Asia, and to explain/re-interpret the differences in teacher knowledge and beliefs between East Asian and Western countries. Multiple research methods are used to explore how different cultures influence mathematics education. In particular, the book discusses the comparative studies of mathematics education, the influence of different cultures on mathematics teaching and learning, and the use of the Confucian Heritage Culture to explain the phenomenon of superior mathematics achievement of East Asian students. The research methods include qualitative approaches, quantitative approaches (such as structured equation modelling, exploratory factor analysis and confirmation factoranalysis), case studies and a meta-analysis of the literature review. This book is dedicated to Chair Professor Frederick K. S. Leung’s (Hans Freudenthal Medallist 2013 and President of ICMI 2021-2024), one of the pioneers in investigating the cultural differences in mathematics education and establishing a framework for the relationship between cultures and mathematics educations. This book acknowledges his many contributions to the field and showcases promising research advancements that sparked directly or indirectly from his intellectual contributions to different mathematics educators globally.