Download or read book The Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present T written by Lambert Lincoln Jackson and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lambert Lincoln Jackson's insightful and comprehensive examination of sixteenth century arithmetic offers readers a unique perspective on the history of mathematics and its relevance to modern education. With illuminating examples and clear explanations, this book is sure to engage and inform math enthusiasts. 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 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. 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.

Download or read book The Educational Significance of Sixteenth Century Arithmetic from the Point of View of the Present Time written by Lambert Lincoln Jackson and published by . This book was released on 1906 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present Time Classic Reprint written by Lambert Lincoln Jackson and published by Forgotten Books. This book was released on 2017-12-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Educational Significance of Sixteenth Century Arithmetic: From the Point of View of the Present Time is a history text written by Dr. Lambert Lincoln Jackson. The work is an examination of the early teaching of arithmetic in the United States. Jackson's book is about the impact of sixteenth century teaching methods and how they influenced later understandings and approaches to the pedagogy of arithmetic. This is an academic text, presented as a dissertation by the author. The work is divided into two parts, part one presenting the results of Jackson's research into historical teaching methods of arithmetic, and part two using these findings to examine the impact of sixteenth century teaching methods on the teaching of arithmetic in the late 1800s and early 1900s. As with any academic text, a detailed bibliography is presented to accompany the work. The Educationa Significance of Sixteenth Century Arithmetic is a thoroughly researched examination of its topic. Jackson acknowledges in the preface that little work had been done on the history of sixteenth century arithmetic teaching methods, and so this dissertation thus serves a dual purpose: not only to create a detailed history, but also to analyze its implications. Jackson is a skilled academic with a mind for critical thinking. Students and scholars of educational history will surely find The Educational Significance of Six Sixteenth Century Arithmetic: From the Point of View of the Present Time to be a fascinating read. Jackson created the first detailed history of the subject matter, and it is one that remains relevant to this day. While this work may not be ideal for light reading, it is certainly an important piece of research. 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.

Download or read book The Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present Time written by Lambert Lincoln Jackson and published by Forgotten Books. This book was released on 2015-06-24 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Educational Significance of Sixteenth Century Arithmetic: From the Point of View of the Present Time is a history text written by Dr. Lambert Lincoln Jackson. The work is an examination of the early teaching of arithmetic in the United States. Jackson's book is about the impact of sixteenth century teaching methods and how they influenced later understandings and approaches to the pedagogy of arithmetic. This is an academic text, presented as a dissertation by the author. The work is divided into two parts, part one presenting the results of Jackson's research into historical teaching methods of arithmetic, and part two using these findings to examine the impact of sixteenth century teaching methods on the teaching of arithmetic in the late 1800s and early 1900s. As with any academic text, a detailed bibliography is presented to accompany the work. The Educationa Significance of Sixteenth Century Arithmetic is a thoroughly researched examination of its topic. Jackson acknowledges in the preface that little work had been done on the history of sixteenth century arithmetic teaching methods, and so this dissertation thus serves a dual purpose: not only to create a detailed history, but also to analyze its implications. Jackson is a skilled academic with a mind for critical thinking. Students and scholars of educational history will surely find The Educational Significance of Six Sixteenth Century Arithmetic: From the Point of View of the Present Time to be a fascinating read. Jackson created the first detailed history of the subject matter, and it is one that remains relevant to this day. While this work may not be ideal for light reading, it is certainly an important piece of research. 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.

Download or read book The Educational Significance of Sixteenth Century Arithmetic written by Lambert Lincoln Jackson and published by . This book was released on 1972 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Educational Significance of Sixteenth Century Arithmetic written by Lambert Jackson and published by CreateSpace. This book was released on 2015-05-26 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A history of arithmetic from 1478 to 1600. The result of a research into the subject matter and teaching of arithmetic in the fifteenth and sixteenth centuries; and an exposition of the bearing of the arithmetic of that period upon the present teaching of the subject. -Teachers College Bulletin [1910] * * * * * From the PREFACE. Although there is much material on the history of sixteenth century arithmetic, comparatively little has been written on the teaching of the subject at that time, and less upon the educational significance of that teaching from the point of view of the present. This dissertation is the result of a research into the arithmetic of the fifteenth and sixteenth centuries for the purpose of showing its bearing upon the present teaching of the subject. The exact period chosen is that from 1478, the date of the first printed arithmetic, to 1600, because between these dates arithmetic took on the form which it retained for three centuries, besides setting forth for the first time its educational functions. So little was written at that time on the educational values of studies that it is necessary to examine with unusual care the treatises and text-books on arithmetic in order to determine the principles and aims which guided their authors in creating them. No general history of mathematics can be of use in a research of this kind, unless it contains extensive extracts from the original sources, and there is only one such work, namely, that of Cantor.1 But, if one were to depend upon Cantor for a treatment of sixteenth century arithmetic, he would obtain an exhaustive knowledge of the leading writers only, whereas the great mass of minor works is necessary to supply a large portion of the data needed to determine the educational significance of the subject. No one has expressed more clearly than De Morgan the relative value of major and minor works for the purpose of interpreting history. "Unfortunately, history must of necessity be written mostly upon those works Which, by being in advance of their age, have therefore become well known. It ought to be otherwise, but it cannot be, without better preservation and classification of the minor works which people actually use, and from which the great mass of those who study take their habits and opinions; -or- until the historian has at his command a readier access to second and third rate works in large numbers; so that he may write upon the effects as well as the causes." Other general histories of mathematics like those of Kastner, Suter, Hankel," Günther,4 and Gerhardt8 contain very brief expositions of the arithmetic of the Renaissance, and all having been written before Cantor's work furnish little, if anything, of importance not covered by him.

Download or read book The educational significance of sixteenth century arithmetic written by Lambert Lincoln Jackson and published by . This book was released on 1972 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Rewriting the History of School Mathematics in North America 1607 1861 written by Nerida F. Ellerton and published by Springer Science & Business Media. This book was released on 2012-01-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

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.

Download or read book Bulletin of the Pratt Institute Free Library written by Pratt Institute. Free Library and published by . This book was released on 1907 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 The Publishers Weekly written by and published by . This book was released on 1907 with total page 2096 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book How Math Works written by G. Arnell Williams and published by Rowman & Littlefield Publishers. This book was released on 2013-04-04 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!

Download or read book The John Crerar Library written by John Crerar Library and published by . This book was released on 1911 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book In Search of Wonderful Ideas written by Mary Kay Delaney and published by Teachers College Press. This book was released on 2021 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the work of Eleanor Duckworth, this volume examines Critical Exploration in the Classroom (CEC)—a learning-teaching research practice that positions teachers as researchers of their students’ sense-making and learners as theorizers and investigators. By integrating CEC into their teacher education classrooms, chapter authors have found that they can reliably unsettle their teacher candidates’ understandings about the nature of teaching and learning and recenter their attention on the intellectual originality and creativity of all young people. In this way, CEC provides valuable tools in the work of creating more equitable and democratic classrooms. Such tools are needed in a broader environment that overvalues instrumental approaches to achieving specified learning outcomes. Readers will find practices that empower and sustain the deep intellectual engagement of all learners. Integrating classroom narratives and other forms of documentation, this resource illustrates the kinds of profound changes in understanding that have occurred for teacher candidates as a result of working with CEC. Book Features: Opens both the teacher educator and teacher candidates to new ways of teaching, learning, and being in classrooms.Demonstrates how the practice works to counter deficit thinking by revealing students’ brilliance.Uses narratives and other forms of documentation to characterize the potential of CEC within a diverse array of teacher education classrooms.Portrays the many ways in which CEC has been integrated into different disciplinary and institutional settings, illustrating the common intellectual and interpersonal dynamics at work.Chapter authors all studied Critical Exploration in the Classroom (CEC) with its originator, Eleanor Duckworth. Contributors: Elizabeth Cavicchi, Eleanor Duckworth, Fiona Hughes-McDonnell, Keri Gelenian, Houman Harouni, Yeh Hsueh, Susan Rauchwerk, Lisa Schneier, William Shorr, Bonnie Hao-Kuo Tai