Abraham Lincolns Cyphering Book And Ten Other Extraordinary Cyphering Books

Author : Nerida F. Ellerton
Publisher : Springer Science & Business Media
ISBN 13 : 3319025023
Total Pages : 383 pages
Book Rating : 4.25/5 ( download)

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Download or read book Abraham Lincoln’s Cyphering Book and Ten other Extraordinary Cyphering Books written by Nerida F. Ellerton and published by Springer Science & Business Media. This book was released on 2014-03-26 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-illustrated book provides strong qualitative and comparative support for the main arguments developed by Nerida Ellerton and Ken Clements in their groundbreaking Rewriting this History of School Mathematics in North America 1607–1861: The Central Role of Cyphering Books. Eleven extraordinary handwritten school mathematics manuscripts are carefully analyzed—six were prepared entirely in Great Britain, four entirely in North America, and 1 partly in Great Britain and partly in North America. The earliest of the 11 cyphering books was prepared around 1630, and the latest in 1835. Seven of the manuscripts were arithmetic cyphering books; three were navigation cyphering books, and one was a mensuration/surveying manuscript. One of the cyphering books examined in this book was prepared, over the period 1819–1826, by a young Abraham Lincoln, when he was attending small one-teacher schools in remote Spencer County, Indiana. Chapter 6 in this book provides the first detailed analysis of young Abraham’s cyphering book—which is easily the oldest surviving Lincoln manuscript. Another cyphering book, this one prepared by William Beattie in 1835, could have been prepared as a special gift for the King of England. The analyses make clear the extent of the control which the cyphering tradition had over school mathematics in North America and Great Britain between 1630 and 1840. In their final chapter Ellerton and Clements identify six lessons from their research into the cyphering tradition which relate to present-day circumstances surrounding school mathematics. These lessons are concerned with sharp differences between intended, implemented and attained curricula, the remarkable value that many students placed upon their cyphering books, the ethnomathematical circumstances which surrounded the preparations of the extraordinary cyphering books, and qualitative differences between British and North American school mathematics.

Author : Nerida Ellerton
Publisher : Springer Nature
ISBN 13 : 3030857247
Total Pages : 462 pages
Book Rating : 4.40/5 ( download)

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Download or read book Toward Mathematics for All written by Nerida Ellerton and published by Springer Nature. This book was released on 2022-06-27 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all ages. It also pays attention to the mathematics itself, and to how it was taught and learned.

Author : Nerida F. Ellerton
Publisher : Springer
ISBN 13 : 3319466577
Total Pages : 325 pages
Book Rating : 4.76/5 ( download)

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Download or read book Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics written by Nerida F. Ellerton and published by Springer. This book was released on 2017-03-02 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title—Samuel Pepys and Isaac Newton—need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth century Pepys and Newton were key players in defining what school mathematics beyond arithmetic and elementary geometry might look like. The scene at which most of the action occurred was Christ’s Hospital, which was a school, ostensibly for the poor, in central London. The Royal Mathematical School (RMS) was established at Christ’s Hospital in 1673. It was the less well-known James Hodgson, a fine mathematician and RMS master between 1709 and 1755, who demonstrated that topics such as logarithms, plane and spherical trigonometry, and the application of these to navigation, might systematically and successfully be taught to 12- to 16-year-old school children. From a wider history-of-school-education perspective, this book tells how the world’s first secondary-school mathematics program was created and how, slowly but surely, what was being achieved at RMS began to influence school mathematics in other parts of Great Britain, Europe, and America. The book has been written from the perspective of the history of school mathematics. Ellerton and Clements’s analyses of pertinent literature and of archival data, and their interpretations of those analyses, have led them to conclude that RMS was the first major school in the world to teach mathematics-beyond-arithmetic, on a systematic basis, to students aged between 12 and 16. Throughout the book, Ellerton and Clements examine issues through the lens of a lag-time theoretical perspective. From a historiographical perspective, this book emphasizes how the history of RMS can be portrayed in very different ways, depending on the vantage point from which the history is written. The authors write from the vantage point of international developments in school mathematics education and, therefore, their history of RMS differs from all other histories of RMS, most of which were written from the perspective of the history of Christ’s Hospital.

Author : M.A. (Ken) Clements
Publisher : Springer
ISBN 13 : 3319025058
Total Pages : 219 pages
Book Rating : 4.56/5 ( download)

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Download or read book Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics written by M.A. (Ken) Clements and published by Springer. This book was released on 2014-11-19 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson’s quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America. The book describes a remarkable study showing how the United States’ decision to adopt a fully decimalized, carefully conceived national currency ultimately had a profound effect on U.S. school mathematics curricula. The book shows, by analyzing a large set of arithmetic textbooks and an even larger set of handwritten cyphering books, that although most eighteenth- and nineteenth-century authors of arithmetic textbooks included sections on vulgar and decimal fractions, most school students who prepared cyphering books did not study either vulgar or decimal fractions. In other words, author-intended school arithmetic curricula were not matched by teacher-implemented school arithmetic curricula. Amazingly, that state of affairs continued even after the U.S. Mint began minting dollars, cents and dimes in the 1790s. In U.S. schools between 1775 and 1810 it was often the case that Federal money was studied but decimal fractions were not. That gradually changed during the first century of the formal existence of the United States of America. By contrast, Chapter 6 reports a comparative analysis of data showing that in Great Britain only a minority of eighteenth- and nineteenth-century school students studied decimal fractions. Clements and Ellerton argue that Jefferson’s success in establishing a system of decimalized Federal money had educationally significant effects on implemented school arithmetic curricula in the United States of America. The lens through which Clements and Ellerton have analyzed their large data sets has been the lag-time theoretical position which they have developed. That theory posits that the time between when an important mathematical “discovery” is made (or a concept is “created”) and when that discovery (or concept) becomes an important part of school mathematics is dependent on mathematical, social, political and economic factors. Thus, lag time varies from region to region, and from nation to nation. Clements and Ellerton are the first to identify the years after 1775 as the dawn of a new day in U.S. school mathematics—traditionally, historians have argued that nothing in U.S. school mathematics was worthy of serious study until the 1820s. This book emphasizes the importance of the acceptance of decimal currency so far as school mathematics is concerned. It also draws attention to the consequences for school mathematics of the conscious decision of the U.S. Congress not to proceed with Thomas Jefferson’s grand scheme for a system of decimalized weights and measures.

Author : David Lindsay Roberts
Publisher : Johns Hopkins University Press
ISBN 13 : 1421433087
Total Pages : 255 pages
Book Rating : 4.80/5 ( download)

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Download or read book Republic of Numbers written by David Lindsay Roberts and published by Johns Hopkins University Press. This book was released on 2019-10-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.

Author : Philip Beeley
Publisher : Routledge
ISBN 13 : 1000207471
Total Pages : 370 pages
Book Rating : 4.77/5 ( download)

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Download or read book Reading Mathematics in Early Modern Europe written by Philip Beeley and published by Routledge. This book was released on 2020-10-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.

Author : Maria Zack
Publisher : Birkhäuser
ISBN 13 : 3319222589
Total Pages : 200 pages
Book Rating : 4.85/5 ( download)

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Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Birkhäuser. This book was released on 2015-11-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meeting’s special topic, Early Scientific Computation. These papers cover subjects such as •Physical tools used by mathematicians in the seventeenth century •The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium •George Washington’s mathematical cyphering books •The development of the Venn diagram •The role of Euler and other mathematicians in the development of algebraic analysis •Arthur Cayley and Alfred Kempe’s influence on Charles Peirce's diagrammatic logic •The influence publishers had on the development of mathematical pedagogy in the nineteenth century •A description of the 1924 International Mathematical Congress held in Toronto, told in the form of a “narrated slide show” Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

Author : Elizabeth Brown Pryor
Publisher : Penguin
ISBN 13 : 014311123X
Total Pages : 498 pages
Book Rating : 4.38/5 ( download)

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Download or read book Six Encounters with Lincoln written by Elizabeth Brown Pryor and published by Penguin. This book was released on 2018-02-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Barondess/Lincoln Award from The Civil War Round Table of New York “Fascinating reading. . .this book eerily reflects some of today’s key issues.” – The New York Times Book Review From an award-winning historian, an engrossing look at how Abraham Lincoln grappled with the challenges of leadership in an unruly democracy An awkward first meeting with U.S. Army officers, on the eve of the Civil War. A conversation on the White House portico with a young cavalry sergeant who was a fiercely dedicated abolitionist. A tense exchange on a navy ship with a Confederate editor and businessman. In this eye-opening book, Elizabeth Brown Pryor examines six intriguing, mostly unknown encounters that Abraham Lincoln had with his constituents. Taken together, they reveal his character and opinions in unexpected ways, illustrating his difficulties in managing a republic and creating a presidency. Pryor probes both the political demons that Lincoln battled in his ambitious exercise of power and the demons that arose from the very nature of democracy itself: the clamorous diversity of the populace, with its outspoken demands. She explores the trouble Lincoln sometimes had in communicating and in juggling the multiple concerns that make up being a political leader; how conflicted he was over the problem of emancipation; and the misperceptions Lincoln and the South held about each other. Pryor also provides a fascinating discussion of Lincoln’s fondness for storytelling and how he used his skills as a raconteur to enhance both his personal and political power. Based on scrupulous research that draws on hundreds of eyewitness letters, diaries, and newspaper excerpts, Six Encounters with Lincoln offers a fresh portrait of Lincoln as the beleaguered politician who was not especially popular with the people he needed to govern with, and who had to deal with the many critics, naysayers, and dilemmas he faced without always knowing the right answer. What it shows most clearly is that greatness was not simply laid on Lincoln’s shoulders like a mantle, but was won in fits and starts.

Author : Carles H. Coleman
Publisher : iUniverse
ISBN 13 : 1491759275
Total Pages : 114 pages
Book Rating : 4.71/5 ( download)

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Download or read book Thomas Lincoln written by Carles H. Coleman and published by iUniverse. This book was released on 2015-03-17 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thomas Lincoln, born in 1778, conquered the wilderness, built cabins and furniture, and supported his family as a farmer and carpenter. But his most important job was helping to raise Abraham Lincoln, who would become the sixteenth president of the United States of America. His story reveals what the American experience was like for those who settled the West leading up to the nations pre-Civil War period. He set an example of honesty, morality, hard work, diligence, and good humorall traits that were also associated with his son, Abraham, known as Honest Abe. Charles H. Coleman, Ph.D., the former Chair of the Department of History at Eastern Illinois University, Charleston, Illinois, and his daughter, Mary Coleman, explore Thomas Lincolns life in detailstarting with his ancestors in England to his death in 1851. Despite the mythology that grew up around Abraham Lincoln, at the time of his fathers death, the family owned as much if not more than many of their neighbors. Success did not come easy, but Thomas Lincoln established the foundation that allowed his son to become a man who will always be remembered.

Author : Robert Tubbs
Publisher : Springer Nature
ISBN 13 : 3030554783
Total Pages : 628 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Palgrave Handbook of Literature and Mathematics written by Robert Tubbs and published by Springer Nature. This book was released on 2020-12-30 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory. Chapter 1 is available open access under a Creative Commons Attribution 4.0 International License via [link.springer.com|http://link.springer.com/].