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.

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.

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.

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.

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.

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 327 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.

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.

Download or read book The Writings of Thomas Jefferson written by Thomas Jefferson and published by . This book was released on 1854 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Papers of Thomas Jefferson Volume 10 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2018-06-05 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, The Papers of Thomas Jefferson, Volume 10: June 1786 to December 1786, will be forthcoming.

Download or read book The Papers of Thomas Jefferson Volume 40 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2018-06-05 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume opens on 4 March 1803, the first day of Jefferson's third year as president. Still shaken by the closing of the right of deposit at New Orleans, he confronts the potential political consequences of a cession of Louisiana to France that might result in a denial of American access to the Mississippi. But he resists pressures to seize New Orleans by force, urging patience instead. The cabinet determines in April that "all possible procrastinations" should be used in dealing with France, but that discussions with Great Britain move forward as well. In Paris, a treaty for the cession of the Louisiana Territory to the United States is signed, and in May the right of deposit is restored. On 3 July, word reaches Jefferson in Washington of the agreement that France has sold the entire Territory for $15 million. The glorious news, which may be the most momentous that Jefferson receives while president, appears in the National Intelligencer the following day. Having received congressional approval to send an expedition to locate a continental route to the Pacific, Jefferson drafts instructions and a cipher for Meriwether Lewis and arranges for the needed instruments. Following through on a promise to a friend to give his views of Christianity, Jefferson puts his religious creed on paper, a "Syllabus" of the morals of Jesus and the comparative merits of Christianity. He intends it only for a few trusted friends.

Download or read book The Inaugural Addresses of President Thomas Jefferson 1801 and 1805 written by Thomas Jefferson and published by University of Missouri Press. This book was released on 2001 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Papers of Thomas Jefferson Retirement Series Volume 6 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2004 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume six of this definitive edition of Thomas Jefferson's papers from the end of his presidency until his death includes 516 documents from the 11th of March through to the 27th of November 1813.

Download or read book Thomas Jefferson s Birthday written by Alabama. Dept. of Education and published by . This book was released on 1910 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 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.

Download or read book The Papers of Thomas Jefferson Volume 30 written by Thomas Jefferson and published by . This book was released on 1950 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. 36. 1 December 1801 to 3 March 1802.

Download or read book The Papers of Thomas Jefferson Retirement Series Volume 18 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2022-04-26 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Retirement Series documents Jefferson's written legacy between his return to private life on 4 March 1809 and his death on 4 July 1826. During this period Jefferson founded the University of Virginia and sold his extraordinary library to the nation, but his greatest legacy from these years is the astonishing depth and breadth of his correspondence with statesmen, inventors, scientists, philosophers, and ordinary citizens on topics spanning virtually every field of human endeavor."--

Download or read book The Papers of Thomas Jefferson Retirement Series Volume 19 written by Thomas Jefferson and published by Princeton University Press. This book was released on 2023-04-18 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: A definitive new volume of the retirement papers of Thomas Jefferson This volume’s 601 documents show Jefferson dealing with various challenges. He is injured in a fall at Monticello, and his arm is still in a sling months later when he narrowly escapes drowning during a solitary horseback ride. Jefferson obtains temporary financial relief by transferring a $20,000 debt from the Bank of the United States to the College of William and Mary. Aided by a review of expenditures by the University of Virginia that uncovers no serious discrepancies, Jefferson and the Board of Visitors obtain a further $60,000 loan that permits construction to begin on the Rotunda. Jefferson drafts but apparently does not send John Adams a revealing letter on religion. He exchanges long letters discussing the Supreme Court with Justice William Johnson, and he writes to friends about France’s 1823 invasion of Spain. Jefferson also helps prepare a list of recommended books for the Albemarle Library Society. In November 1822, Jefferson’s grandson Francis Eppes marries Mary Elizabeth Randolph. He gives the newlyweds his mansion at Poplar Forest and visits it for the last time the following May. In a letter to James Monroe, Jefferson writes and then cancels “my race is near it’s term, and not nearer, I assure you, than I wish.”