The United States Arithmetic
Author | : William Vogdes |
Publisher | : |
Total Pages | : 324 |
Release | : 1847 |
Genre | : Arithmetic |
ISBN | : |
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Author | : William Vogdes |
Publisher | : |
Total Pages | : 324 |
Release | : 1847 |
Genre | : Arithmetic |
ISBN | : |
Author | : William VOGDES |
Publisher | : |
Total Pages | : 128 |
Release | : 1845 |
Genre | : Arithmetic |
ISBN | : |
Author | : Paul Lockhart |
Publisher | : Harvard University Press |
Total Pages | : 232 |
Release | : 2019-07-15 |
Genre | : Mathematics |
ISBN | : 067423751X |
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.
Author | : International Commission on the Teaching of Mathematics |
Publisher | : |
Total Pages | : 204 |
Release | : 1911 |
Genre | : Mathematics |
ISBN | : |
Author | : Florian Cajori |
Publisher | : |
Total Pages | : 408 |
Release | : 1890 |
Genre | : Mathematics |
ISBN | : |
Author | : Liping Ma |
Publisher | : Routledge |
Total Pages | : 290 |
Release | : 2010-03-26 |
Genre | : Education |
ISBN | : 1135149496 |
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Author | : International Commission on the Teaching of Mathematics |
Publisher | : |
Total Pages | : 208 |
Release | : 1911 |
Genre | : Mathematics |
ISBN | : |
Author | : John Lyman Newell |
Publisher | : |
Total Pages | : 222 |
Release | : 1822 |
Genre | : Arithmetic |
ISBN | : |
Author | : David E. Zitarelli |
Publisher | : American Mathematical Society |
Total Pages | : 500 |
Release | : 2022-10-25 |
Genre | : Mathematics |
ISBN | : 1470472570 |
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.
Author | : Steve Nadis |
Publisher | : Harvard University Press |
Total Pages | : 272 |
Release | : 2013-11-01 |
Genre | : Mathematics |
ISBN | : 0674727894 |
In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.