Download or read book Deductive Geometry written by E.A. Maxwell and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.
Download or read book Deductive Geometry written by Raymond Guyamier and published by Trafford Publishing. This book was released on 2013-06 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, first-time author Abhishek Mukherjee provides us with a fresh take on romance and relationships. The book unfolds as the protagonist tries to break free from her mediocre life and is ready to trade her life for a deal on her dreams. But she soon finds out that everything is not as it looks like when she starts living with her rescuer and discovers the mighty walls of the mansion whispering secrets about her rescuer’s political family. Friendships are made along the way as she starts trusting those around her. But how long will her trust sustain!The Fall before the Rise is a fast-paced novel that will keep its grip on your attention as the protagonist takes you through her journey in her own words as she discovers relationships budding in the most barren of situations. A story of love and blood, hate and white lies, dreams and reality, it surprises you when you least expect it. Full of unexpected twist, it provides for an exhilarating read.
Download or read book Discovering Geometry written by Michael Serra and published by . This book was released on 2003-03-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematical Gazette written by and published by . This book was released on 1917 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minutes of Proceedings Addresses and Papers of the Convention written by Canadian Education Association and published by . This book was released on 1900 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the ... convention included in Canadian education, v. ...
Download or read book A Shorter History of Science written by Sir William Cecil Dampier Dampier and published by CUP Archive. This book was released on 1946 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thirty Years of Teaching written by Louis Compton Miall and published by . This book was released on 1897 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclidean and Transformational Geometry written by Shlomo Libeskind and published by Jones & Bartlett Learning. This book was released on 2008-02-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on solving challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text and suggested hints for the more challenging problems appear in the instructor's solutions manual and can be used at the instructor's discretion.
Download or read book Philosophy of Mathematics and Deductive Structure in Euclid s Elements written by Ian Mueller and published by Courier Dover Publications. This book was released on 2006 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Download or read book Proceedings of the Annual Convention of the Ontario Educational Association written by Ontario Educational Association and published by . This book was released on 1904 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Annual Convention written by Ontario Educational Association and published by . This book was released on 1903 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interactions on Digital Tablets in the Context of 3D Geometry Learning written by David Bertolo and published by John Wiley & Sons. This book was released on 2016-07-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few years, multi-touch mobile devices have become increasingly common. However, very few applications in the context of 3D geometry learning can be found in app stores. Manipulating a 3D scene with a 2D device is the main difficulty of such applications. Throughout this book, the author focuses on allowing young students to manipulate, observe and modify 3D scenes using new technologies brought about by digital tablets. Through a user-centered approach, the author proposes a grammar of interactions adapted to young learners, and then evaluates acceptability, ease of use and ease of learning of the interactions proposed. Finally, the author studies in situ the pedagogic benefits of the use of tablets with an app based on the suggested grammar. The results show that students are able to manipulate, observe and modify 3D scenes using an adapted set of interactions. Moreover, in the context of 3D geometry learning, a significant contribution has been observed in two classes when students use such an application. The approach here focuses on interactions with digital tablets to increase learning rather than on technology. First, defining which interactions allow pupils to realize tasks needed in the learning process, then, evaluating the impact of these interactions on the learning process. This is the first time that both interactions and the learning process have been taken into account at the same time.
Download or read book Geometry Geodesics and the Universe written by Robert G. Bill and published by Xlibris Corporation. This book was released on 2023-03-19 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of the development of geometry is told as it emerged from the concepts of the ancient Greeks, familiar from high school, to the four-dimensional space-time that is central to our modern vision of the universe. The reader is first reacquainted with the geometric system compiled by Euclid with its postulates thought to be self-evident truths. A particular focus is on Euclid’s fifth postulate, the Parallel Postulate and the many efforts to improve Euclid’s system over hundreds of years by proving it from the first four postulates. Two thousand years after Euclid, in the process that would reveal the Parallel Postulate as an independent postulate, a new geometry was discovered that changed the understanding of geometry and mathematics, while paving the way for Einstein’s General Relativity. The mathematics to describe the non-Euclidean geometries and the geometric universe of General Relativity is initiated in the language of mathematics available to a general audience. The story is told as a mathematical narrative, bringing the reader along step by step with all the background needed in analytic geometry, the calculus, vectors, and Newton’s laws to allow the reader to move forward to the revolutionary extension of geometry by Riemann that would supply Einstein with the language needed to overthrow Newton’s universe. Using the mathematics acquired for Riemannian geometry, the principles behind Einstein’s General Relativity are described and their realization in the Field Equations is presented. From the Field Equations, it is shown how they govern the curved paths of light and that of planets along the geodesics formed from the geometry of space-time, and how they provide a picture of the universe’s birth, expansion, and future. Thus, Euclid’s geometry while no longer thought to spring from perceived absolute truths as the ancients believed, ultimately provided the seed for a new understanding of geometry that in its infinite variety became central to the description of the universe, marking mathematics as a one of the great modes of human expression.
Download or read book Rods Sets and Arrows written by Dirk De Bock and published by Springer Nature. This book was released on 2019-12-10 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: For anyone interested in the history and effects of the introduction of so-called “Modern Mathematics” (or “Mathématique Moderne,” or “New Mathematics,” etc.) this book, by Dirk De Bock and Geert Vanpaemel, is essential reading. The two authors are experienced and highly qualified Belgian scholars and the book looks carefully at events relating to school mathematics for the period from the end of World War II to 2010. Initially the book focuses on events which helped to define the modern mathematics revolution in Belgium before and during the 1960s. The book does much more than that, however, for it traces the influence of these events on national and international debates during the early phases of the reform. By providing readers with translations into English of relevant sections of key Continental documents outlining the major ideas of leading Continental scholars who contributed to the “Mathématique Moderne” movement, this book makes available to a wide readership, the theoretical, social, and political backdrops of Continental new mathematics reforms. In particular, the book focuses on the contributions made by Belgians such as Paul Libois, Willy Servais, Frédérique Lenger, and Georges Papy. The influence of modern mathematics fell away rapidly in the 1970s, however, and the authors trace the rise and fall, from that time into the 21st century, of a number of other approaches to school mathematics—in Belgium, in other Western European nations, and in North America. In summary, this is an outstanding, landmark publication displaying the fruits of deep scholarship and careful research based on extensive analyses of primary sources.
Download or read book The Teaching of Plane Geomery written by Harry Yandell Benedict and published by . This book was released on 1912 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theorems in School written by Paolo Boero and published by Sense Publishers. This book was released on 2007 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addressing mathematics educators, teacher-trainers and teachers, is published as a contribution to the endeavour of renewing the teaching of proof (and theorems) on the basis of historical-epistemological, cognitive and didactical considerations.
Download or read book The School World written by and published by . This book was released on 1902 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
