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History of Mathematics and Its Contexts
  • Language: en
  • Pages: 292

History of Mathematics and Its Contexts

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Conflicts Between Generalization, Rigor, and Intuition
  • Language: en
  • Pages: 689

Conflicts Between Generalization, Rigor, and Intuition

This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

Vita Mathematica
  • Language: en
  • Pages: 380

Vita Mathematica

Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.

Interfaces between Mathematical Practices and Mathematical Education
  • Language: en
  • Pages: 201

Interfaces between Mathematical Practices and Mathematical Education

  • Type: Book
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  • Published: 2019-01-16
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  • Publisher: Springer

This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and explore the interfaces between teaching and research.

Handbook on the History of Mathematics Education
  • Language: en
  • Pages: 627

Handbook on the History of Mathematics Education

This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Multiple Antiquities - Multiple Modernities
  • Language: en
  • Pages: 613

Multiple Antiquities - Multiple Modernities

Im 19. Jahrhundert war die Antike eine wichtige Bezugsgröße in vielen europäischen Ländern. Dabei gab es Unterschiede in der Sicht und Aneignung der griechischen, römischen und auch "archaischen" Antike. Im Sinne einer Histoire croisée zeigt der Band, wie jede Nation ihre eigene Antike schuf.

Around Caspar Wessel and the Geometric Representation of Complex Numbers
  • Language: en
  • Pages: 306
Social History of Nineteenth Century Mathematics
  • Language: en
  • Pages: 307

Social History of Nineteenth Century Mathematics

During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his ...

The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education
  • Language: en
  • Pages: 754

The International Commission on Mathematical Instruction, 1908-2008: People, Events, and Challenges in Mathematics Education

The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications co...

Cultures of Prediction
  • Language: en
  • Pages: 287

Cultures of Prediction

  • Type: Book
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  • Published: 2024-05-07
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  • Publisher: MIT Press

A probing examination of the dynamic history of predictive methods and values in science and engineering that helps us better understand today’s cultures of prediction. The ability to make reliable predictions based on robust and replicable methods is a defining feature of the scientific endeavor, allowing engineers to determine whether a building will stand up or where a cannonball will strike. Cultures of Prediction, which bridges history and philosophy, uncovers the dynamic history of prediction in science and engineering over four centuries. Ann Johnson and Johannes Lenhard identify four different cultures, or modes, of prediction in the history of science and engineering: rational, em...