What really happens inside a Montessori classroom? How do teachers teach? How do children learn? This fascinating day-by-day record of a year in the life of a Montessori classroom answers these questions by providing an illuminating glimpse of the Montessori method in action.

    In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, as The Irrationals shows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    This book includes everything you need to prepare for the test. The revised second edition contains three brand new model TKT practice tests, new tips for preparing for the TKT, an additional unit on approaches to language teaching tested in the TKT, completely rewritten tasks in every unit, and revised ELT terms and concepts matching the latest Cambridge ESOL TKT Glossary. This best-selling course has been written in collaboration with Cambridge ESOL by a team of experienced TKT writers. It provides a comprehensive and reliable package for TKT candidates, as well as for teachers preparing for other initial teacher training qualifications and those on in-service training programmes.

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    After a brief tale of her own introduction to the paranormal, the author shares funny, poignant, and insightful words straight from the spirit people themselves. Together, the living and the dead seek forgiveness, solve family mysteries, find closure, settle scores, and come together for birthdays, anniversaries, and graduations. Quoting directly from her readings and séances, Priscilla reports the spirit perspective on mental illness, suicide, religion, and even the afterlife itself. For those readers interested in developing their own spirit communication skills, the last section of the book offers meditations and exercises used by the author herself, both personally and with her students. "It Will All Make Sense When You’re Dead" is chock-full of simple and entertaining wisdom, showing us how to live for today, with light hearts and kindness.

    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

    Cambridge International AS and A Level Physics covers all the material required for the Cambridge syllabus. The accompanying Student's CD-ROM includes many more questions linked to each chapter, including multiple choice, how to tackle the examinations, and animations, a glossary and summaries. A Teacher's Resource CD-ROM is also available and includes answers to all questions in the Coursebook, together with worksheets describing practical work linked to each chapter in the book.

    The Tao of Teaching is written in the same style as the Tao Te Ching, and gives examples from the classrooms of three present-day teachers whom the author feels embody Taoist wisdom and "student-centered" educational methods. The Tao of Teaching is a labor of love, containing many important insights by a talented and respected professional whose emphasis is on the students' contribution in a learning environment, whatever the context.

    But five years later, in a car packed with food she has carefully prepared to nourish her husband’s dying brother, the other shoe does drop. Taylor’s husband unexpectedly proclaims he is, “done with the marriage and doesn’t want to talk about it.”With this, the life Taylor has come to know is over. Relying on the strength of a lifelong friend who refuses to let her succumb to the intense waves of grief, she slowly begins to find her way out of the shadows of grief. Over the course of two years, through appointments with attorneys and therapists, purging shared belongings, and pushing herself to meet new people and do new things, Taylor not only regains a sense of control in her life, she also learns to enjoy the new life she has built, the friendships she’s formed—and to savor her newfound strength.

    And no delay causes more parental anxiety than late talking, which is associated in many parents' minds with such serious conditions as autism and severe intellectual disability. In fact, as children's speech expert Stephen Camarata points out in this enlightening book, children are late in beginning to talk for a wide variety of reasons. For some children, late talking may be a symptom of other, more serious, problems; for many others, however, it may simply be a stage with no long-term complications.Camarata describes in accessible language what science knows about the characteristics and causes of late talking. He explains that late talking is only one of a constellation of autism symptoms. Although all autistic children are late talkers, not all late-talking children are autistic.Camarata draws on more than twenty-five years of professional experience diagnosing and treating late talkers--and on his personal experience of being a late talker himself and having a late-talking son. He provides information that will help parents navigate the maze of doctors, speech therapists, early childhood services, and special education; and he describes the effect that late talking may have on children's post-talking learning styles.

    Mark Plaster takes readers beyond the ambulance bay doors into the stranger-than-fiction world of the Emergency Department. By turns heart-warming and gut-wrenching, "Night Shift" chronicles the ebb and flow of human life, in all of its unvarnished glory, as it passes through the doors of the ED.