Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    This book encourages musicians to develop a broader understanding of the involvement of the entire body in playing—and the strains playing places on the body—by focusing on body mapping to increase awareness of the body’s function, size, and structure. Ways in which piano, organ, harpsichord, clavichord, and digital keyboard players can eliminate or prevent carpal tunnel syndrome and other debilitating conditions without traditional medical treatments are also explored.

    He shows you how to create an amazing learning environment that actually makes discipline, rules and consequences obsolete, no matter if you're a new teacher or a 30-year veteran teacher. Teachers they make movies about are innovative, engaging, and beloved Hacking Classroom Management is about putting the F word--FUN--into your teaching, and Mike Roberts shows you how to do this, while meeting your standards and teaching your curriculum.  Hacking Classroom Management shows you how to Build lasting relationships with your students Maximize teaching time Reduce behavior issues Enhance student ownership Improve parental involvement Experts love the Movie Teacher philosophy "No matter what grade you teach, there’s something of great value inside. Two Big Thumbs UP!" -Alan Sitomer, CA Teacher of the Year and Author of Short Writes"Immensely fun and illuminating to read!" -Jeffery D. Wilhelm, Distinguished Professor of English Education at Boise State University"Hollywood might not make a movie about you, even if you read and apply every suggestion in this book, but you and your students are much more likely to feel like classroom stars because of it." -Chris Crowe, English Professor at BYU, Past President of ALAN, author of Death Coming Up the Hill, Getting Away with Murder: The True Story of the Emmett Till Case; Mississippi Trial, 1955; and many other YA booksWave Goodbye to classroom management issuesGrab Hacking Classroom Management today, become a movie teacher tomorrow, and forget about classroom management FOREVER!

    In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.

    In Intentional Talk: How to Structure and Lead Productive Mathematical Discussions , authors Elham Kazemi and Allison Hintz provide teachers with a framework for planning and facilitating purposeful math talks that move group discussions to the next level while achieving a mathematical goal.Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into how teachers lead discussions and make important pedagogical decisions along the way. By creating equitable opportunities to share ideas, teachers can orient students to one another while enforcing that all students are sense makers and their ideas are valued. They examine students’ roles as both listeners and talkers, offering numerous strategies for improving student participation. Intentional Talk includes a collection of lesson planning templates in the appendix to help teachers apply the right structure to discussions in their own classrooms.

    Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a “Feynmanesque” overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.

    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

    But what if we took these big, hard-to-imagine objects and events and compared them to things we can see, feel and touch? Instantly, we'd see our world in a whole new way." So begins this endlessly intriguing guide to better understanding all those really big ideas and numbers children come across on a regular basis. Author David J. Smith has found clever devices to scale down everything from time lines (the history of Earth compressed into one year), to quantities (all the wealth in the world divided into one hundred coins), to size differences (the planets shown as different types of balls). Accompanying each description is a kid-friendly drawing by illustrator Steve Adams that visually reinforces the concept. By simply reducing everything to human scale, Smith has made the incomprehensible easier to grasp, and therefore more meaningful. The children who just love these kinds of fact-filled, knock-your-socks-off books will want to read this one from cover to cover. It will find the most use, however, as an excellent classroom reference that can be reached for again and again when studying scale and measurement in math, and also for any number of applications in social studies, science and language arts. For those who want to delve a little deeper, Smith has included six suggestions for classroom projects. There is also a full page of resource information at the back of the book.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

    Mind Maps for Kids is Tony Buzan’s first book written specially for a younger audience, suitable for ages 7 to 14.Tony Buzan has been teaching children all over the world for the past thirty years and has proved that Mind Maps are the magic formula in the classroom: remembering facts and figures is a piece of cake, planning is a doddle and getting stuck for an answer is a thing of the past.In Mind Maps for Kids, Tony Buzan explains this amazing system using step-by-step examples in every subject across the curriculum. He shows just how easy Mind Mapping is and how it can help kids to• remember things and concentrate better• make clearer and better notes• revise and ace exams!• come up with ideas and unlock the imagination• save timeMind Maps for Kids is a full-colour workbook, with the emphasis on having fun. As well as tips for improving memory and concentration, the book is packed with jokes, cartoons and brainteasers.Mind Mapping is the shortcut to success that puts kids one step (and sometimes miles!) ahead.