Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics

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Publisher : Springer
ISBN 13 : 3319025058
Total Pages : 219 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics by : M.A. (Ken) Clements

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.

Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics

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Publisher : Springer
ISBN 13 : 3319466577
Total Pages : 340 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics by : Nerida F. Ellerton

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 340 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.

Toward Mathematics for All

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Publisher : Springer Nature
ISBN 13 : 3030857247
Total Pages : 462 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Toward Mathematics for All by : Nerida Ellerton

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.

A History of Mathematics in the United States and Canada

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Publisher : American Mathematical Society
ISBN 13 : 1470472570
Total Pages : 500 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A History of Mathematics in the United States and Canada by : David E. Zitarelli

Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

A History of Mathematics in the United States and Canada: Volume 1: 1492–1900

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470448297
Total Pages : 474 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 by : David E. Zitarelli

Download or read book A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 written by David E. Zitarelli and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli is emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he is one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this is his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

Using Design Research and History to Tackle a Fundamental Problem with School Algebra

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Publisher : Springer
ISBN 13 : 3319592041
Total Pages : 339 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Using Design Research and History to Tackle a Fundamental Problem with School Algebra by : Sinan Kanbir

Download or read book Using Design Research and History to Tackle a Fundamental Problem with School Algebra written by Sinan Kanbir and published by Springer. This book was released on 2017-10-28 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.

History of Mathematics Teaching and Learning

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Publisher : Springer
ISBN 13 : 3319316168
Total Pages : 47 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis History of Mathematics Teaching and Learning by : Alexander Karp

Download or read book History of Mathematics Teaching and Learning written by Alexander Karp and published by Springer. This book was released on 2016-07-26 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

The Teaching and History of Mathematics in the United States (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780331358575
Total Pages : 404 pages
Book Rating : 4.3/5 (585 download)

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Book Synopsis The Teaching and History of Mathematics in the United States (Classic Reprint) by : Cajori

Download or read book The Teaching and History of Mathematics in the United States (Classic Reprint) written by Cajori and published by Forgotten Books. This book was released on 2017-11-18 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Teaching and History of Mathematics in the United States The paper used in the book is thick, the type large. Words and phrases to which the author desires to call special attention are printed in italic characters, and as more than half the book is, in the author's eyes, important, more than half the book is printed in italics. In 1788, when Nicholas Pike published his arithmetic, Greenwood's book was entirely unknown, and Pike's was believed to be the first arith metic written and printed in America. The first arithmetic which enjoyed general popularity and reached an extended circulation in the colonies was the School-master's Assistant, by Thomas Dilworth. The first edition of this was published in London in 1744 or '45. According to Wickersham, there appeared a reprint of this in Philadelphia in 1769. Other American editions were brought out at Hartford in 1786, New York in 1793 and 1806, Brooklyn in 1807. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Is Thomas Jefferson the Forgotten Man?

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Publisher :
ISBN 13 : 9781258546243
Total Pages : 20 pages
Book Rating : 4.5/5 (462 download)

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Book Synopsis Is Thomas Jefferson the Forgotten Man? by : Nicholas Murray Butler

Download or read book Is Thomas Jefferson the Forgotten Man? written by Nicholas Murray Butler and published by . This book was released on 2013-02 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thomas Jefferson and Education in a Republic

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Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Thomas Jefferson and Education in a Republic by : Thomas Jefferson

Download or read book Thomas Jefferson and Education in a Republic written by Thomas Jefferson and published by . This book was released on 1971 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Papers of Thomas Jefferson, Retirement Series, Volume 5

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Publisher : Princeton University Press
ISBN 13 : 0691184631
Total Pages : 798 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Papers of Thomas Jefferson, Retirement Series, Volume 5 by : Thomas Jefferson

Download or read book The Papers of Thomas Jefferson, Retirement Series, Volume 5 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2018-06-05 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume Five of the definitive edition of Thomas Jefferson's papers from the end of his presidency until his death includes 592 documents from 1 May 1812 to 10 March 1813. America declares war on Great Britain on 18 June 1812. Jefferson counsels domestic reconciliation while suggesting that America recruit British incendiaries to burn London if British ships attack American cities. He passes on to President James Madison a long and discouraging letter from Isaac A. Coles describing American military bungling in the Niagara Campaign. An unofficial proposal that Jefferson return to public life as secretary of state does not gain the retired statesman's support. Jefferson receives many requests for governmental patronage, responds insightfully to a colorful assortment of authors and inventors, is mildly diverted by a fraudulent perpetual-motion machine, and spends considerable time on legal troubles. A dispute with David Michie over land in Albemarle County nearly leads to a duel between Michie and Jefferson's agent. A conflict with Samuel Scott over property in Campbell County further vexes Jefferson, who prepares an extensively researched answer to Scott's complaint. Despite the conflict, Jefferson graciously writes a letter of introduction for Scott's son. Jefferson remains accessible to the public, receives anonymous letters urging him to convert to Christianity, and settles a wager for one correspondent who asks if Jefferson ever met the British king. Jefferson gloomily observes that "the hand of age is upon me" and complains that his faculties are failing. He still has thirteen years to live.

History of the United States of America During the Second Administration of Thomas Jefferson

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Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis History of the United States of America During the Second Administration of Thomas Jefferson by : Henry Adams

Download or read book History of the United States of America During the Second Administration of Thomas Jefferson written by Henry Adams and published by . This book was released on 1890 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Papers of Thomas Jefferson, Volume 34

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Publisher : Princeton University Press
ISBN 13 : 0691184852
Total Pages : 822 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Papers of Thomas Jefferson, Volume 34 by : Thomas Jefferson

Download or read book The Papers of Thomas Jefferson, Volume 34 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2018-06-05 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Volume 34, covering May through July 1801, the story of Thomas Jefferson's first presidential administration continues to unfold. He quickly begins to implement his objectives of economy and efficiency in government. Requesting the chief clerk of the War Department to prepare a list of commissioned army officers, Jefferson has his secretary Meriwether Lewis label the names on the list with such descriptors as "Republican" or "Opposed to the administration, otherwise respectable officers." The president calls his moves toward a reduction in the army a "chaste reformation." Samuel Smith, interim head of the Navy Department, in accordance with the Peace Establishment Act, arranges for the sale of surplus warships. Secretary of the Treasury Albert Gallatin gathers figures on revenues and expenses and suggests improvements in methods of collecting taxes. Jefferson delivers an eloquent statement on his policy of removals from office to the merchants of New Haven, who objected to his dismissal of the collector of the port of New Haven. He makes clear that while his inaugural address declared tolerance and respect for the minority, it did not mean that no offices would change hands. On the twenty-fifth anniversary of the Fourth of July, Jefferson entertains around one hundred citizens, including a delegation of five Cherokee chiefs. And on 30 July, Jefferson leaves the Federal City for two months at Monticello.

Jefferson's Vision for Education, 1760-1845

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Publisher : Peter Lang Incorporated, International Academic Publishers
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Jefferson's Vision for Education, 1760-1845 by : Cameron Addis

Download or read book Jefferson's Vision for Education, 1760-1845 written by Cameron Addis and published by Peter Lang Incorporated, International Academic Publishers. This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though limited to white males, public education was a progressive idea for its time. All his bills failed. Even though Jefferson's own machinations stymied bills for a statewide system in the 1810s, the "hobby of his old age," the University of Virginia, opened in 1825.

Jefferson and Education

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Publisher : UNC Press Books
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Jefferson and Education by : Jennings L. Wagoner

Download or read book Jefferson and Education written by Jennings L. Wagoner and published by UNC Press Books. This book was released on 2004 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: "If a nation expects to be ignorant and free, in a state of civilization, it expects what never was and never will be," wrote Thomas Jefferson, the nation's first "education president." Spurred by this conviction that the new United States would survive only if it encouraged education at all levels, Jefferson struggled unsuccessfully for four decades to establish a system of publicly supported elementary and secondary schools. The book explores Jefferson's efforts to advance publicly supported education, beginning in Virginia with the first bill he introduced promoting "the more general diffusion of knowledge," and continuing with national initiatives, including the founding of the United States Military Academy at West Point. The book concludes with what Jefferson called "the hobby of my old age" the establishment of the University of Virginia, where he designed the buildings, selected the faculty, planned the curriculum, and served at first rector. Written by Jennings L. Wagoner, Jr., a professor of the history of education in the Curry School of Education at the University of Virginia.

Thomas Jefferson and Education in a Republic

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Publisher : Andesite Press
ISBN 13 : 9781297580277
Total Pages : 202 pages
Book Rating : 4.5/5 (82 download)

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Book Synopsis Thomas Jefferson and Education in a Republic by : Charles Flinn Arrowood

Download or read book Thomas Jefferson and Education in a Republic written by Charles Flinn Arrowood and published by Andesite Press. This book was released on 2015-08-08 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Thomas Jefferson and Education in a Republic

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Publisher :
ISBN 13 : 9780781261418
Total Pages : 184 pages
Book Rating : 4.2/5 (614 download)

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Book Synopsis Thomas Jefferson and Education in a Republic by : Charles F. Arrowood

Download or read book Thomas Jefferson and Education in a Republic written by Charles F. Arrowood and published by . This book was released on 1992-07-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: