Researching the History of Mathematics Education

Researching the History of Mathematics Education PDF Author: Fulvia Furinghetti
Publisher: Springer
ISBN: 3319682946
Category : Education
Languages : en
Pages : 323

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Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Researching the History of Mathematics Education

Researching the History of Mathematics Education PDF Author: Fulvia Furinghetti
Publisher: Springer
ISBN: 3319682946
Category : Education
Languages : en
Pages : 323

Get Book Here

Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

History in Mathematics Education

History in Mathematics Education PDF Author: John Fauvel
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456

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Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

The Rainbow of Mathematics

The Rainbow of Mathematics PDF Author: Ivor Grattan-Guinness
Publisher: W. W. Norton & Company
ISBN: 9780393320305
Category : Mathematics
Languages : en
Pages : 836

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Book Description
"For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.

Equations from God

Equations from God PDF Author: Daniel J. Cohen
Publisher: JHU Press
ISBN: 0801891868
Category : Mathematics
Languages : en
Pages : 374

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Book Description
This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.

Writing the History of Mathematics: Its Historical Development

Writing the History of Mathematics: Its Historical Development PDF Author: Joseph W. Dauben
Publisher: Springer Science & Business Media
ISBN: 9783764361679
Category : Mathematics
Languages : en
Pages : 776

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Book Description
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

A History of the Study of Mathematics at Cambridge

A History of the Study of Mathematics at Cambridge PDF Author: Walter William Rouse Ball
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 328

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Book Description


Handbook on the History of Mathematics Education

Handbook on the History of Mathematics Education PDF Author: Alexander Karp
Publisher: Springer Science & Business Media
ISBN: 146149155X
Category : Mathematics
Languages : en
Pages : 627

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Book Description
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.

The Arithmetic of Infinitesimals

The Arithmetic of Infinitesimals PDF Author: John Wallis
Publisher: Springer Science & Business Media
ISBN: 1475743122
Category : Mathematics
Languages : en
Pages : 226

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Book Description
John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.

On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics PDF Author: Augustus De Morgan
Publisher: Courier Corporation
ISBN: 0486155153
Category : Mathematics
Languages : en
Pages : 308

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Book Description
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

History and Philosophy of Modern Mathematics

History and Philosophy of Modern Mathematics PDF Author: William Aspray
Publisher: U of Minnesota Press
ISBN: 0816615675
Category : Mathematics
Languages : en
Pages : 396

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Book Description
History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.