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Workbook For Modern Mathematics Through Discovery
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Book Synopsis Proofs and Refutations by : Imre Lakatos
Download or read book Proofs and Refutations written by Imre Lakatos and published by Cambridge University Press. This book was released on 1976 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Book Synopsis Experimentation in Mathematics by : Jonathan M. Borwein
Download or read book Experimentation in Mathematics written by Jonathan M. Borwein and published by CRC Press. This book was released on 2004-04-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
Author :Library of Congress. Copyright Office Publisher :Copyright Office, Library of Congress ISBN 13 : Total Pages :1140 pages Book Rating :4.F/5 ( download)
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1969 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Books and Pamphlets, Including Serials and Contributions to Periodicals by : Library of Congress. Copyright Office
Download or read book Books and Pamphlets, Including Serials and Contributions to Periodicals written by Library of Congress. Copyright Office and published by . This book was released on 1968 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Neurological Basis of Learning, Development and Discovery by : Anton E. Lawson
Download or read book The Neurological Basis of Learning, Development and Discovery written by Anton E. Lawson and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A goal of mine ever since becoming an educational researcher has been to help construct a sound theory to guide instructional practice. For far too long, educational practice has suffered because we have lacked firm instructional guidelines, which in my view should be based on sound psychological theory, which in turn should be based on sound neurological theory. In other words, teachers need to know how to teach and that "how-to-teach" should be based solidly on how people learn and how their brains function. As you will see in this book, my answer to the question of how people learn is that we all learn by spontaneously generating and testing ideas. Idea generating involves analogies and testing requires comparing predicted consequences with actual consequences. We learn this way because the brain is essentially an idea generating and testing machine. But there is more to it than this. The very process ofgenerating and testing ideas results not only in the construction of ideas that work (i. e. , the learning of useful declarative knowledge), but also in improved skill in learning (i. e. , the development of improved procedural knowledge).
Book Synopsis Labyrinth of Thought by : Jose Ferreiros
Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Springer Science & Business Media. This book was released on 2001-11-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Download or read book Mathematics written by Harry Henderson and published by Infobase Publishing. This book was released on 2007 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses mathematics and how it plans an intricate part of daily life rather than an isolated science.
Book Synopsis Geometrical Landscapes by : Amir R. Alexander
Download or read book Geometrical Landscapes written by Amir R. Alexander and published by Stanford University Press. This book was released on 2002 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This challenging book argues that a new way of speaking of mathematics and describing it emerged at the end of the 16th century. Leading mathematicians began referring to their field in terms drawn from the exploration accounts of Columbus and Magellan. Many of those who promoted the vision of mathematics as heroic exploration also played central roles in developing the most important mathematical innovation of the period?the infinitesimal methods, which the author shows was no coincidence.
Book Synopsis Modern Classical Homotopy Theory by : Jeffrey Strom
Download or read book Modern Classical Homotopy Theory written by Jeffrey Strom and published by American Mathematical Soc.. This book was released on 2011-10-19 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.
Book Synopsis Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving by : George Pólya
Download or read book Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving written by George Pólya and published by . This book was released on 2009 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Polya was a Hungarian mathematician. Born in Budapest on 13 December 1887, his original name was Polya Gyorg. He wrote perhaps the most famous book of mathematics ever written, namely "How to Solve It." However, "How to Solve It" is not strictly speaking a math book. It is a book about how to solve problems of any kind, of which math is just one type of problem. The same techniques could in principle be used to solve any problem one encounters in life (such as how to choose the best wife ). Therefore, Polya wrote the current volume to explain how the techniques set forth in "How to Solve It" can be applied to specific areas such as geometry.
Download or read book Official Gazette written by Philippines and published by . This book was released on 1966 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue of Title-entries of Books and Other Articles Entered in the Office of the Librarian of Congress, at Washington, Under the Copyright Law ... Wherein the Copyright Has Been Completed by the Deposit of Two Copies in the Office by : Library of Congress. Copyright Office
Download or read book Catalogue of Title-entries of Books and Other Articles Entered in the Office of the Librarian of Congress, at Washington, Under the Copyright Law ... Wherein the Copyright Has Been Completed by the Deposit of Two Copies in the Office written by Library of Congress. Copyright Office and published by . This book was released on 1969 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Books Related to Compensatory Education by :
Download or read book Books Related to Compensatory Education written by and published by . This book was released on 1969 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Complete List of Adopted Textbooks, Including Workbooks, for Use in South Carolina Public Schools by :
Download or read book A Complete List of Adopted Textbooks, Including Workbooks, for Use in South Carolina Public Schools written by and published by . This book was released on 1968 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculating Brilliance by : Gerardo Aldana
Download or read book Calculating Brilliance written by Gerardo Aldana and published by University of Arizona Press. This book was released on 2022-03-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contextualizes the discovery of a Venus astronomical pattern by a female Mayan astronomer at Chich'en Itza and the discovery's later adaptation and application at Mayapan. Calculating Brilliance brings different intellectual threads together across time and space, from the Classic to the Postclassic, the colonial period to the twenty-first century to offer a new vision for understanding Mayan astronomy.
Book Synopsis Modern Mathematics by : Dirk De Bock
Download or read book Modern Mathematics written by Dirk De Bock and published by Springer Nature. This book was released on 2023-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstanding overview of the New Math/modern mathematics movement. Chapter authors provide exceptionally high-quality analyses of the rise of the movement, and of subsequent developments, within a range of nations. The first few chapters show how the initial leadership came from mathematicians in European nations and in the United States of America. The background leaders in Europe were Caleb Gattegno and members of a mysterious group of mainly French pure mathematicians, who since the 1930s had published under the name of (a fictitious) “Nicolas Bourbaki.” In the United States, there emerged, during the 1950s various attempts to improve U.S. mathematics curricula and teaching, especially in secondary schools and colleges. This side of the story climaxed in 1957 when the Soviet Union succeeded in launching “Sputnik,” the first satellite. Undoubtedly, this is a landmark publication in education. The foreword was written by Professor Bob Moon, one of a few other scholars to have written on the New Math from an international perspective. The final “epilogue” chapter, by Professor Geert Vanpaemel, a historian, draws together the overall thrust of the volume, and makes links with the general history of curriculum development, especially in science education, including recent globalization trends.
Book Synopsis Report of the 1977 National Survey of Science, Mathematics, and Social Studies Education by : Iris R. Weiss
Download or read book Report of the 1977 National Survey of Science, Mathematics, and Social Studies Education written by Iris R. Weiss and published by . This book was released on 1978 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
