Download or read book Didactics of Mathematics as a Scientific Discipline written by Rolf Biehler and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.

Download or read book Pr cis of the Lectures on Architecture written by Jean-Nicolas-Louis Durand and published by Getty Publications. This book was released on 2000-01-01 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Nicolas-Louis Durand (1760–1834) regarded the Précis of the Lectures on Architecture (1802–5) and its companion volume, the Graphic Portion (1821), as both a basic course for future civil engineers and a treatise. Focusing the practice of architecture on utilitarian and economic values, he assailed the rationale behind classical architectural training: beauty, proportionality, and symbolism. His formal systematization of plans, elevations, and sections transformed architectural design into a selective modular typology in which symmetry and simple geometrical forms prevailed. His emphasis on pragmatic values, to the exclusion of metaphysical concerns, represented architecture as a closed system that subjected its own formal language to logical processes. Now published in English for the first time, the Précis and the Graphic Portion are classics of architectural education.

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 Mathematics as a Service Subject written by A. G. Howson and published by Cambridge University Press. This book was released on 1988-05-27 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the 1987 International Commission on Mathematical Instruction conference, this volume comprises key papers on the role of mathematics in applied subjects.

Download or read book The Mathematical Writings of variste Galois written by Évariste Galois and published by European Mathematical Society. This book was released on 2011 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.

Download or read book Human Accomplishment written by Charles Murray and published by Harper Collins. This book was released on 2009-10-13 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural survey reminiscent of Barzun's From Dawn to Decadence. "At irregular times and in scattered settings, human beings have achieved great things. Human Accomplishment is about those great things, falling in the domains known as the arts and sciences, and the people who did them.' So begins Charles Murray's unique account of human excellence, from the age of Homer to our own time. Employing techniques that historians have developed over the last century but that have rarely been applied to books written for the general public, Murray compiles inventories of the people who have been essential to the stories of literature, music, art, philosophy, and the sciences—a total of 4,002 men and women from around the world, ranked according to their eminence. The heart of Human Accomplishment is a series of enthralling descriptive chapters: on the giants in the arts and what sets them apart from the merely great; on the differences between great achievement in the arts and in the sciences; on the meta-inventions, 14 crucial leaps in human capacity to create great art and science; and on the patterns and trajectories of accomplishment across time and geography. Straightforwardly and undogmatically, Charles Murray takes on some controversial questions. Why has accomplishment been so concentrated in Europe? Among men? Since 1400? He presents evidence that the rate of great accomplishment has been declining in the last century, asks what it means, and offers a rich framework for thinking about the conditions under which the human spirit has expressed itself most gloriously. Eye-opening and humbling, Human Accomplishment is a fascinating work that describes what humans at their best can achieve, provides tools for exploring its wellsprings, and celebrates the continuing common quest of humans everywhere to discover truths, create beauty, and apprehend the good.

Download or read book Descartes s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.

Download or read book On Prophecy Dreams and Human Imagination written by Donald A. Russell and published by Mohr Siebeck. This book was released on 2014-12-15 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synesius' essay De insomniis ('On Dreams') inquires into the meaning and importance of dreams for human beings and treats themes - most of all the relationship of humans to higher spheres -, which for religiously- and philosophically-minded people are still important today.

Download or read book The Mechanization of Natural Philosophy written by Sophie Roux and published by Springer Science & Business Media. This book was released on 2012-09-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mechanisation of Natural Philosophy is devoted to various aspects of the transformation of natural philosophy during the 16th and 17th centuries that is usually described as mechanical philosophy . Drawing the border between the old Aristotelianism and the « new » mechanical philosophy faces historians with a delicate task, if not an impossible mission. There were many natural philosophers who actually crossed the border between the two worlds, and, inside each of these worlds, there was a vast spectrum of doctrines, arguments and intellectual practices. The expression mechanical philosophy is burdened with ambiguities. It may refer to at least three different enterprises: a description of nature in mathematical terms; the comparison of natural phenomena to existing or imaginary machines; the use in natural philosophy of mechanical analogies, i.e. analogies conceived in terms of matter and motion alone.However mechanical philosophy is defined, its ambition was greater than its real successes. There were few mathematisations of phenomena. The machines of mechanical philosophers were not only imaginary, but had little to do with the machines of mecanicians. In most of the natural sciences, analogies in terms of matter and motion alone failed to provide satisfactory accounts of phenomena.By the same authors: Mechanics and Natural Philosophy before the Scientific Revolution (Boston Studies in the Philosophy of Science 254).

Download or read book Specialist Control written by James E. McClellan and published by American Philosophical Society. This book was released on 2003 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Comite du Librairie of the Academie Royale des Sciences in Paris & its influence on modern scientific refereeing are examined in this 2003 J. F. Lewis award-winning monograph. James McClellan investigates the development & growth of the Comite du Librairie in the late 18th century, & its influence in establishing international norms for processing, modifying, & authorizing books & papers for publication. Pointing out that "historians of the Academie Royale des Science have known about the Comite de Librairie & had logged the existence of its registers, but no one had studied them in detail," he presents a comprehensive & authoritative history of the Comite.

Download or read book Encyclopedia of Medieval Philosophy written by Henrik Lagerlund and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 1448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first reference ever devoted to medieval philosophy. It covers all areas of the field from 500-1500 including philosophers, philosophies, key terms and concepts. It also provides analyses of particular theories plus cultural and social contexts.

Download or read book Researching the History of Mathematics Education written by Fulvia Furinghetti and published by Springer. This book was released on 2017-12-04 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Download or read book Minerva s Message written by Martin S. Staum and published by McGill-Queen's Press - MQUP. This book was released on 1996-10-17 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: In theory the CMPS was set up to enshrine the human and social studies that were at the heart of Enlightenment culture. Staum illustrates, however, that the Institute helped transform key ideas of the Enlightenment in order to maintain civil rights while upholding social stability, and that the social and political assumptions on which it was based affected notions of social science. He traces the careers of individual members and the factions within the Institute, arguing that the discord within the CMPS reflects the unravelling of Enlightenment culture. Minerva's Message presents a valuable overview of the intellectual life of the period and brings together new evidence about the social sciences in their nascent period.

Download or read book De Sphaera of Johannes de Sacrobosco in the Early Modern Period written by Matteo Valleriani and published by Springer Nature. This book was released on 2020-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.

Download or read book Mathematics Mathematics Education Searching for Common Ground written by Michael N. Fried and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.

Download or read book History of Science History of Text written by Karine Chemla and published by Springer Science & Business Media. This book was released on 2005-08-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: two main (interacting) ways. They constitute that with which exploration into problems or questions is carried out. But they also constitute that which is exchanged between scholars or, in other terms, that which is shaped by one (or by some) for use by others. In these various dimensions, texts obviously depend on the means and technologies available for producing, reproducing, using and organizing writings. In this regard, the contribution of a history of text is essential in helping us approach the various historical contexts from which our sources originate. However, there is more to it. While shaping texts as texts, the practitioners of the sciences may create new textual resources that intimately relate to the research carried on. One may think, for instance, of the process of introduction of formulas in mathematical texts. This aspect opens up a wholerangeofextremelyinterestingquestionstowhichwewillreturnatalaterpoint.But practitioners of the sciences also rely on texts produced by themselves or others, which they bring into play in various ways. More generally, they make use of textual resources of every kind that is available to them, reshaping them, restricting, or enlarging them. Among these, one can think of ways of naming, syntax of statements or grammatical analysis, literary techniques, modes of shaping texts or parts of text, genres of text and so on.Inthissense,thepractitionersdependon,anddrawon,the“textualcultures”available to the social and professional groups to which they belong.