Download or read book Sensible Mathematics written by Steve Leinwand and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intervention: providing effective support services.
Download or read book Aristotle and Mathematics written by John J. Cleary and published by BRILL. This book was released on 1995 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines Aristotle's critical reaction to the mathematical cosmology of Plato's Academy, and traces the aporetic method by which he developed his own cosmological and metaphysical views, which underpin his philosophy of mathematics.
Download or read book Accessible Mathematics written by Steve Leinwand and published by Heinemann Educational Books. This book was released on 2009 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand (author of Sensible Mathematics) shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. Thoroughly practical and ever-aware of the limits of teachers' time, Steve gives you everything you need to put his commonsense ideas to use immediately. His extensive planning advice will help you streamline your teaching to get more from everything you do. Classroom examples from every grade level model teaching language and instructional moves. And his suggestions for professional learning help increase your effectiveness through the power of collaboration. Steven Leinwand shares your priority: raising the mathematical understanding and achievement of every one of your students. Read Accessible Mathematics, try his 10 suggestions in your practice, and discover how minor shifts in your teaching can put student learning into high gear.
Download or read book An Historical Introduction to the Philosophy of Mathematics A Reader written by Russell Marcus and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Download or read book New national framework mathematics written by M. J. Tipler and published by Nelson Thornes. This book was released on 2003 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: New National Framework Mathematics features extensive teacher support materials which include dedicated resources to support each Core and Plus Book. The 7 Plus Teacher Planning Pack contains Teacher Notes for every chapter with a 'Self-contained lesson plan' for each of the units in the pupil books.
Download or read book The Metaphysics and Mathematics of Arbitrary Objects written by Leon Horsten and published by Cambridge University Press. This book was released on 2019-06-13 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.
Download or read book Achilles In the Quantum Universe written by Richard Morris and published by Henry Holt and Company. This book was released on 2015-07-14 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Centuries ago, when the ancient philosopher Zeno proposedhis famous paradox involving Achilles and the Tortoise, he struck at the heart of one of science's most enduring and intractable problems: How do we define the infinite? From then on, our greatest natural philosophers, logicians, mathematicians, and scientists, from Aristotle to Stephen Hawking, have been stymied-and driven-by infinity. Acclaimed Science writer Richard Morris guides us on a fascinating, literate and entertaining tour of the efforts made throughout history to make sense of the mind-bending concept of the infinite. In tracing this quest, Morris shows us how each new encounter with infinity drove the advancement of physics and mathematics. Along the way, we encounter such luminaries as Galileo and Newton, Tycho Brahe and Giordano Bruno, and the giants of modern physics: Planck, Einstein, Bohr, Feynmann, Hawking, and numerous others. Beginning with simple logical puzzles and progressing to the latest cosmological theories, Morris shows how these same infinity problems helped spawn such groundbreaking scientific developments as relativity and quantum mechanics. Though in many ways, the infinite is just as baffling today as it was in antiquity, contemporary scientists are probing ever deeper into the nature of our universe and catching fleeting glimpses of the infinite in ways the ancients could never have imagined. Ultimately, we see that hidden within the theoretical possibility of an infinite number of universes may lie the answers to some of humankind's most fundamental questions: Why is there something rather than nothing? Why are we here?
Download or read book Explorations in Ancient and Modern Philosophy Volume 3 written by Myles Burnyeat and published by Cambridge University Press. This book was released on 2022-03-31 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Myles Burnyeat (1939–2019) was a major figure in the study of ancient Greek philosophy during the last decades of the twentieth century and the first of this. After teaching positions in London and Cambridge, where he became Laurence Professor, in 1996 he took up a Senior Research Fellowship at All Souls College, Oxford, from which he retired in 2006. In 2012 he published two volumes collecting essays dating from before the move to Oxford. Two new posthumously published volumes bring together essays from his years at All Souls and his retirement. The main body of Volume 3 presents studies written for a wide readership, first on Plato's Republic and then on the reading and interpretation of Plato in subsequent periods, particularly in nineteenth-century Britain. The volume also includes hitherto unpublished lectures, 'The Archaeology of Feeling', on the ancient origins of some key modern philosophical and psychological concepts.
Download or read book Knowledge and Demonstration written by Orna Harari and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aristotle s Metaphysics written by Aristotle and published by . This book was released on 1924 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Ideas and the Physical Real written by Albert Lautman and published by A&C Black. This book was released on 2011-06-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Download or read book The Commentary of St Thomas Aquinas on Aristotle s Treatise on the soul written by Aquinas Saint Thomas and published by Рипол Классик. This book was released on 1949 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Commentary of St. Thomas Aquinas on Aristotle's Treatise on the soul. Tanslated by R. A. Kocourek.
Download or read book Simply Dirac written by Helge Kragh and published by Simply Charly. This book was released on 2016-08-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: “What a fantastic entrée into the life of Paul Dirac and the exotic world of Quantum Mechanics, of which he was one of the great pioneers. With its cast of some of the most important scientists of the modern age, this is both an entertaining and an enlightening read.” —Michael White, Bestselling author of 39 books including Isaac Newton: The Last Sorcerer Paul Dirac (1902–1984) was a brilliant mathematician and a 1933 Nobel laureate whose work ranks alongside that of Albert Einstein and Sir Isaac Newton. Although not as well known as his famous contemporaries Werner Heisenberg and Richard Feynman, his influence on the course of physics was immense. His landmark book, The Principles of Quantum Mechanics, introduced that new science to the world and his “Dirac equation” was the first theory to reconcile special relativity and quantum mechanics. Dirac held the Lucasian Chair of Mathematics at Cambridge University, a position also occupied by such luminaries as Isaac Newton and Stephen Hawking. Yet, during his 40-year career as a professor, he had only a few doctoral students due to his peculiar personality, which bordered on the bizarre. Taciturn and introverted, with virtually no social skills, he once turned down a knighthood because he didn’t want to be addressed by his first name. Einstein described him as “balancing on the dizzying path between genius and madness.” In Simply Dirac, author Helge Kragh blends the scientific and the personal and invites the reader to get to know both Dirac the quantum genius and Dirac the social misfit. Featuring cameo appearances by some of the greatest scientists of the 20th century and highlighting the dramatic changes that occurred in the field of physics during Dirac’s lifetime, this fascinating biography is an invaluable introduction to a truly singular man.
Download or read book Iamblichus On the General Science of Mathematics written by John Dillon and published by Bloomsbury Publishing. This book was released on 2020-06-11 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c. 245 CE–early 320s) on the Pythagoreans. He thought the Pythagoreans had treated mathematics as essential for drawing the human soul upwards to higher realms described by Plato, and downwards to understand the physical cosmos, the products of arts and crafts and the order required for an ethical life. His Pythagorean treatises use edited quotation to re-tell the history of philosophy, presenting Plato and Aristotle as passing on the ideas invented by Pythagoras and his early followers. Although his quotations tend to come instead from Plato and later Pythagoreanising Platonists, this re-interpretation had a huge impact on the Neoplatonist commentators in Athens. Iamblichus' cleverness, if not to the same extent his re-interpretation, was appreciated by the commentators in Alexandria.
Download or read book Teaching Children Mathematics written by and published by . This book was released on 2001 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Ancient Greek Philosophy II written by John Peter Anton and published by SUNY Press. This book was released on 1971-01-01 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented to the Society for Ancient Greek Philosophy since its beginnings in the 1950's.
