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Research in History and Philosophy of Mathematics
This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Some of the topics explored include Arabic editions of Euclid’s Elements from the thirteenth century and their role in the assimilation of Euclidean geometry into the Islamic intellectual tradition Portuguese sixteenth century recreational mathematics as found in the Tratado de Prática Darysmetica A Cambridge correspondence course in arithmetic for women in England in th...
Performing Math
Performing Math tells the history of expectations for math communication—and the conversations about math hatred and math anxiety that occurred in response. Focusing on nineteenth-century American colleges, this book analyzes foundational tools and techniques of math communication: the textbooks that supported reading aloud, the burnings that mimicked pedagogical speech, the blackboards that accompanied oral presentations, the plays that proclaimed performers’ identities as math students, and the written tests that redefined “student performance.” Math communication and math anxiety went hand in hand as new rules for oral communication at the blackboard inspired student revolt and as frameworks for testing student performance inspired performance anxiety. With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education, one that can explain contemporary math attitudes and provide a way forward to reframing the problem of math anxiety.
From Calculus to Computers
Classroom resource material allowing the integration of mathematics history into undergraduate mathematics teaching.
Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators
This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
Teaching and Learning with Primary Source Projects
“It appears to me that if one wants to make progress in mathematics one should study the masters and not the pupils.” —Niels Henrik Abel Recent pedagogical research has supported Abel's claim of the effectiveness of reading the masters. Students exposed to historically based pedagogy see mathematics not as a monolithic assemblage of facts but as a collection of mental processes and an evolving cultural construct built to solve actual problems. Exposure to the immediacy of the original investigations can inspire an inquiry mindset in students and lead to an appreciation of mathematics as a living intellectual activity. TRIUMPHS (TRansforming Instruction in Undergraduate Mathematics via ...
Physicists
In this book, a breakdown of the life and work of some of history's pioneers in the study of physics are thoroughly explored. Notable physicists include Albert Einstein, Stephen Hawking, Isaac Newton, and Galileo Galilei. Their contribution to science and human kind is insurmountable. This book provides excellent biographical sketches for trailblazers in physics. Specific articles are devoted to the above mentioned scientists, among others, covering the contributions to their field, specifically addressing how their research, discoveries, and inventions impacted human understanding and experience.
Scientific Instruments on Display
During their active lives, scientific instruments generally inhabit the laboratory, observatory, classroom or the field. But instruments have also lived in a wider set of venues, as objects on display. As such, they acquire new levels of meaning; their cultural functions expand. This book offers selected studies of instruments on display in museums, national fairs, universal exhibitions, patent offices, book frontispieces, theatrical stages, movie sets, and on-line collections. The authors argue that these displays, as they have changed with time, reflect changing social attitudes towards the objects themselves and toward science and its heritage. By bringing display to the center of analysis, the collection offers a new and ambitious framework for the study of scientific instruments and the material culture of science. Contributors are: Amy Ackerberg-Hastings, Silke Ackermann, Marco Beretta, Laurence Bobis, Alison Boyle, Fausto Casi, Ileana Chinnici, Suzanne Débarbat, Richard Dunn, Inga Elmqvist-Söderlund, Ingrid Jendrzejewski, Peggy A. Kidwell, Richard Kremer, Mara Miniati, Richard A. Paselk, Donata Randazzo, Steven Turner.
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.
Rewriting the History of School Mathematics in North America 1607-1861
The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.
The Impact and Legacy of The Ladies’ Diary (1704–1840): A Women’s Declaration
The Ladies' Diary was an annual almanac published in England from 1704 to 1840. It was designed to provide useful information to women; the subtitle reveals the purpose, Containing New Improvements in Arts and Sciences, and Many Entertaining Particulars: Designed for the Use and Diversion of the Fair Sex. It contained meteorological and astronomical information, recipes, health and medical advice, scientific information, and mathematical puzzles and problems. Readers were encouraged to, and did, send solutions and original problems and puzzles of their own for publication in the next year's issue. Frank Swetz, one of the founding Editors of Convergence, the MAA's online journal of the histor...
