We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.
Winner, CODE’s 2016 Burt Award for First Nation, Inuit and Métis Literature In this important graphic novel, two brothers surrounded by poverty, drug abuse, and gang violence, try to overcome centuries of historic trauma in very different ways to bring about positive change in their lives. Pete, a young Indigenous man wrapped up in gang violence, lives with his younger brother, Joey, and his mother who is a heroin addict. One night, Pete and his mother’s boyfriend, Dennis, get into a big fight, which sends Dennis to the morgue and Pete to jail. Initially, Pete keeps up ties to his crew, until a jail brawl forces him to realize the negative influence he has become on Joey, which encourages him to begin a process of rehabilitation that includes traditional Indigenous healing circles and ceremonies. Powerful, courageous, and deeply moving, The Outside Circle is drawn from the author’s twenty years of work and research on healing and reconciliation of gang-affiliated or incarcerated Indigenous men.
Since about 1985, crop circles have become a more well-known phenomenon. In the meantime, about 10,000 crop circles have appeared in more than 50 countries. However, well over half of them come from southern England in the area of Stonehenge, Woodhenge, Silbury Hill, White Horse and other prehistoric monuments. Some of them can be proved to have been made by humans, but others just as certainly have not been made by humans - this is not the starting situation one would wish for as a researcher ... In the present book 300 of these crop circles are examined more closely. It turns out that they contain approx. 100 elements which appear in many crop circles. Their geometrical form has an easily recognizable meaning. Therefore, with the help of these "words", the crop circles composed of them can be read like "sentences". The meaning is almost always the same: a representation of how individuality unfolds. Therefore, there are many similarities with astrology or the chakra system, for example. This analytical approach is complemented by 50 dream journeys into individual crop circles, which makes the picture that arises from the analytical observation of the crop circles even more rounded. Thereby a first impression can be gained of the language of the collective subconsciousness - which words and which grammar it uses: It is a "music of geometry".
The benefits and importance of Socratic seminars are widely recognized, but little has been written on how to make them happen successfully in the classroom. In Socratic Circles: Fostering Critical and Creative Thinking in Middle and High School , author Matt Copeland provides real-world examples and straightforward answers to frequent questions. He creates a coaching guide for both the teacher new to Socratic seminars and the experienced teacher seeking to optimize the benefits of this powerful strategy. Socratic Circles also shows teachers who are familiar with literature circles the many ways in which these two practices complement and extend each other. Effectively implemented, Socratic seminars enhance reading comprehension, listening and speaking skills, and build better classroom community and conflict resolution skills. By giving students ownership over the classroom discussion around texts, they become more independent and motivated learners. Ultimately, because there is a direct relationship between the level of participation and the richness of the experience, Socratic seminars teach students to take responsibility for the quality of their own learning. Filled with examples to help readers visualize the application of these concepts in practice, Socratic Circles includes transcripts of student dialogue and work samples of preparation and follow-up activities. The helpful appendices offer ready-to-copy handouts and examples, and suggested selections of text that connect to major literary works. As our classrooms and our schools grow increasingly focused on meeting high standards and differentiating instruction for a wide variety of student needs and learning styles, Socratic seminars offer an essential classroom tool for meeting these goals.Socratic Circles is a complete and practical guide to Socratic seminars for the busy classroom teacher.
For history readers, travelers, and scholars alike, an indispensable behind-the-scenes guide to the great cathedrals of Paris. “So infectious is R. Howard Bloch’s passion for his subject that even those unable to do the traveling required will find in Paris and Her Cathedrals an inspiring guide to these time-hallowed masterpieces of medieval culture.” —Colin Jones, author of Paris and The Great Nation Over the years, R. Howard Bloch has become renowned for the insider tours of Paris that he gives to students abroad. Long sought after by travelers and history buffs for his near-encyclopedic knowledge of French cathedrals, the eminent French literature scholar finally shares his expertise with a wider audience. In Paris and Her Cathedrals, six of the most sublime cathedrals in the penumbra of Paris—Saint-Denis, Notre-Dame, Chartres, Sainte-Chapelle, Amiens, Reims—are illumined in magnificent detail as Bloch, taking us from the High Middle Ages to the devastating fire that set Notre-Dame ablaze in 2019, traces the evolution of each in turn. Written from the premise that “seeing is enhanced by knowing,” each chapter is organized along the lines of a walk around and then through the space of the cathedral, such that the actual or virtual visitor feels the rich sweep of the church, “the essence of these architectural wonders” (Antonia Felix). Animating the past with lush evocations of architectural splendor—from flying buttresses and jewel-encrusted shrines to hidden burial grounds and secret chambers—Bloch then contextualizes the cathedrals within the annals of French history. Here thrilling tales of kingly intrigue—as in Saint-Chapelle, where the pious King Louis IX amassed relics, including Christ’s crown of thorns—and audacious abbots are interspersed with anecdotes about the meeting of aristocratic and everyday life, culminating in “a rich, colorful narrative that clearly but expertly explains the history and symbolism of some of the world’s most magnificent buildings” (Ross King). To be read in preparation for an enlightened visit or merely to open a window upon the High Middle Ages in France, Paris and Her Cathedrals is a “revelation,” an “indispensable guide” (Garry Wills) to these awe-inspiring structures. Complete with the author’s own photographs, this beautifully illustrated volume vitally enhances our understanding of the history of Paris and its environs.
Learning and practicing The Seven Circles of Dharma is a secure way for any person to live a worthwhile, ethical and fulfilling life. It is a powerful NEW method of Personal Leadership that allows you to be intuitively fair in your thoughts and actions. Dharma can be said to be the righteous way of action to do what is right and good without harming others’ rights, it is a path that leads to happiness and success. In India we often day, Dharam ka palan karo (inculcate and follow the way of Dharma), the dilemma has always been to figure out these right actions as we strain to live or walk the correct path. This book unravels the easy-to-use methodology that enables one to do this and helps find a worth it perfect balance between alternative decisions which we face throughout our life. The author discovered the pathway while listening to some rambling discourses by a Guru in Kashmir – in which the secret was deeply submerged and hidden. The consequence of action is key and is often ignored in fast and complex environments as we do not have the right frame of reference to judge and don’t know the method to do this quicky. This book will empower you with an amazingly easy to follow secret process that shows you how to do this and act with a guilt free mind. It is Dharma – the correct way of thinking and resulting action that YOU will master for greater mental peace. The exclusive secret of how-to is inside The Seven Circles of Dharma