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.

    For it is these characteristics, the authors write, that develop intelligent, inquiring, life-long learners. The authors’ research shows that many primary grade state standards encourage teaching for understanding, critical thinking, creativity, and question asking, and promote the development of children who have the attributes of inventiveness, curiosity, engagement, imagination, and creativity. With these goals in mind, Georgia and Jennifer provide teachers with numerous, practical ways—setting up “wonder centers,” gathering data though senses, teaching nonfiction craft—they can create a classroom environment where student’s questions and observations are part of daily work.    They also present a step-by-step guide to planning a nonfiction reading and writing unit of study—creating a nonfiction book, which includes creating a table of contents, writing focused chapters, using “wow” words, and developing point of view. A Place for Wonder will help teachers reclaim their classrooms as a place where true learning is the norm.

    Encouragement. Sanity. On any number of homeschooling days, I've needed all three. It's not that homeschooling is an unwanted chore. Homeschooling my children is one of my greatest joys. It's a privilege. I'm so incredibly blessed by this undertaking. And I'm challenged. I'm pulled. I'm stretched. I'm growing. I'm finding my reheated coffee in the microwave at 2 p.m. wondering where the morning went. Trying hard to soak up the sweet and sacred moments with these souls and miss stepping on the Lego pile in the process. Friend, I'm sure you've felt the same. The pages of Hope for the Heart of the Homeschool Mom is a collection of encouragement to prayerfully strengthen your soul for this God-given journey. A journey that's beyond stretching and beyond worth it.

    This new textbook has been developed to match the requirements of the CAPE Management of Business syllabus. Full coverage of the CAPE syllabus is provided and the content has a clear focus on the Caribbean economic and business environment. A distinctive feature is the provision of examination-type questions at the end of each major section. The questions come with suggested time limite for answering, giving useful practice in how to allocate time for the final examination. Management of Business for CAPE includes case studies from a variety of countries and industries, as well as an internal assessment component.

    170 pages of A sounds! You can use this book with a young child who is just starting school or with an older child who has missed out on the basics. If a child doesn't know their phonic sounds...they will always struggle with spelling, reading and writing. Sometimes the same sound can be spelt in different ways, e.g. the sound ake (cake) can also be spelt ache earache) and eak (steak). The best way to use this book is to focus on one sound at a time. Read through them with your child, talk about the sounds, practice spelling them and write them. The A Sounds book is the largest of the series. You will also find the e, i, o and u books on Amazon. Katrina Kahler is a teacher with 30 years of experience in Elementary Schools. She is a highly successful teacher who has helped thousands of children. This is how she teaches the children in her classroom to spell. Start working with your child today and see the difference it will make to their literacy skills.

    students who wanted to put their technical know-how to work.  If you asked these brainiacs what the stakes were that first week of their project, they’d have told you it was all about winning a robotics competition – building the ultimate robot and prevailing in a machine-to-machine contest in front of 25,000 screaming fans at Atlanta’s Georgia Dome. But for their mentor, Amir Abo-Shaeer, much more hung in the balance.  The fact was, Amir had in mind a different vision for education, one based not on rote learning -- on absorbing facts and figures -- but on active creation.  In his mind’s eye, he saw an even more robust academy within Dos Pueblos that would make science, technology, engineering, and math (STEM) cool again, and he knew he was poised on the edge of making that dream a reality.  All he needed to get the necessary funding was one flashy win – a triumph that would firmly put his Engineering Academy at Dos Pueblos on the map.  He imagined that one day there would be a nation filled with such academies, and a new popular veneration for STEM – a “new cool” – that would return America to its former innovative glory. It was a dream shared by Dean Kamen, a modern-day inventing wizard – often-called “the Edison of his time” – who’d concocted the very same FIRST Robotics Competition that had lured the kids at Dos Pueblos.  Kamen had created FIRST (For Inspiration and Recognition of Science and Technology) nearly twenty years prior.  And now, with a participant alumni base approaching a million strong, he felt that awareness was about to hit critical mass.   But before the Dos Pueblos D’Penguineers could do their part in bringing a new cool to America, they’d have to vanquish an intimidating lineup of “super-teams”– high-school technology goliaths that hailed from engineering hot spots such as Silicon Valley, Massachusetts’ Route 128 technology corridor, and Michigan’s auto-design belt.  Some of these teams were so good that winning wasn’t just hoped for every year, it was expected. In The New Cool, Neal Bascomb manages to make even those who know little about – or are vaguely suspicious of – technology care passionately about a team of kids questing after a different kind of glory.  In these kids’ heartaches and headaches – and yes, high-five triumphs -- we glimpse the path not just to a new way of educating our youth but of honoring the crucial skills a society needs to prosper.  A new cool.

    It is the only behaviour over which we have enough control. Creating a seismic shift in behaviour across a school requires adult behaviour to be adjusted with absolute consistency. This creates a stable platform on which each school can build its authentic practice. It will result in shifts in daily routines, in how to deal with the angriest learners, in restorative practice and in how we appreciate exceptional behaviour. The book is peppered with case studies from schools across five continents, from the most challenging urban schools to the most privileged schools in the world. This is exceptional behaviour management and leading-edge practice. The approach is practical, transformative and rippling with respect for staff and learners.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

    Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns will guarantee any child success in math. In MATH APPEAL, Tang continues to challenge kids with his innovative approach to math.

    Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes

    Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.