Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    But what if there were 50,000 small solutions to help us bridge that gap?In Closing the Vocabulary Gap, the author explores the increased demands of an academic curriculum and how closing the vocabulary gap between our 'word poor' and 'word rich' students could prove the vital difference between school failure and success.This must-read book presents the case for teacher-led efforts to develop students' vocabulary and provides practical solutions for teachers across the curriculum, incorporating easy-to-use tools, resources and classroom activities.

    This entertaining guide builds on scores of case studies taken from business, sports, the movies, politics, and gambling. It outlines the basics of good strategy making and then shows how you can apply them in any area of your life.

    Their conversation varies from cool logical reasoning to heated personal confrontation. Each starts off convinced that he or she is right, but then doubts creep in.In a tradition going back to Plato, Timothy Williamson uses a fictional conversation to explore questions about truth and falsity, and knowledge and belief. Is truth always relative to a point of view? Is every opinion fallible? Such ideas have been used to combat dogmatism and intolerance, but arethey compatible with taking each opposing point of view seriously? This book presupposes no prior acquaintance with philosophy, and introduces its concerns in an accessible and light-hearted way. Is one point of view really right and the other really wrong? That is for the reader to decide.

    From Zen and Vipassana to walking meditations and body scans, the simple practices outlined in Practical Meditation for Beginners make it easy to build an ongoing meditation routine that is best for you.Written by experienced meditation teacher Benjamin Decker, Practical Meditation for Beginners offers a clear 10-day program for learning 10 different meditation techniques—one for each day of the program. Newcomers and experienced meditators alike will enjoy the ease and variety presented in Practical Meditation for Beginners.In the pages of Practical Meditation for Beginners you’ll find: Logical chapter organization that sets a daily structure for building your meditation skill set Step-by-step instructions to help you fully engage in each of the 10 techniques Thoughtful writing prompts for recording daily insights in your Meditation Notebook Accessible and effective, Practical Meditation for Beginners is a true how-to guide that will empower you to meditate with confidence right away.

    Brazelton introduces new information on physical, emotional, and behavioral development. He also addresses the new stresses on families and fears of children, with a fresh focus on the role of fathers and other caregivers.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    Drawing upon her influential philosophy of active learning, as well as her personal experience as a parent, Calkins shows parents how to stimulate curiosity and spark creative thinking in children. Having an open and creative approach to conversations, chores, and games can matter just as much as reading, writing, and math. And even in traditional skills like reading and writing, we need to encourage our children to read for meaning and write for expression, rather than focus only on mechanics like phonics and spelling.By giving parents new and imaginative techniques for educating children, and by providing them with an insider's view of what goes on in the early grades, Raising Lifelong Learners creates the ultimate partnership in learning between home and school, parents and teachers.

    Rebecca brings us back to our better selves! -Naomi Shihab NyeIt's no secret that reading aloud to children every single day is one of the most important things any teacher, parent, or grown up can do to help children become better readers, thinkers, and frankly, better human beings. There are many resources available-scores of books, articles, web sites, videos, podcasts, and more that highlight the research on why reading aloud to kids is so vital, how to incorporate it into the day, and lists of texts to choose from for each grade level.The Artful Read-Aloud is a user-friendly guide that builds a bridge between the artistic world and the classroom, providing a deeper dive into the artistry of reading aloud. Rebecca Bellingham draws on her experience as a performer, teaching artist, classroom teacher, and literacy coach to make explicit connections between the arts and reading aloud, providing dozens of easy moves teachers can make that can enhance, elevate, and deepen the impact of interactive read-alouds.Each chapter focuses on a specific guiding principle that is drawn from the arts and is meant to spark engagement, provoke inquiry, and inspire deep thinking. She includes practical tips for how to bring each principle to life in the classroom, including:how to embody the text by making small shifts with your body and voice to bring the words to life, helping kids envision different characters and their actions more completely learning when to slow down, pause, and read in an deliberate and careful way to give kids time to think, feel, process, and connect when and how to create opportunities for talk, giving kids the space to ask questions and reflect on what they notice, wonder, and predict how to give kids a chance to move around as they try on characters, recreate scenes, learn about new concepts, and live inside the book prioritizing read alouds that give students practice listening to and learning from diverse voices while creating space for meaningful conversation about important issues relating to injustice, identity, inequality, and more ways to be intentional in your choices, from matching books to the students in front of you to choosing passages that support instructional goals and teaching points. Reading aloud to your students supports a balanced, rigorous, and joyful literacy curriculum that not only feeds the souls and minds of your students but your own as well. Dip into The Artful Read-Aloud and see what's possible inside your daily read-alouds. By learning to make simple moves that model what real reading looks and sounds like you can help your students become the kind of readers all of us hope they will become: engaged, thoughtful, lifelong ones.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    The tools in Love and Logic Magic for Early Childhood will give you the building blocks you need to create children who grow up to be responsible, successful teens and adults. And as a bonus you will enjoy every stage of your child's life and look forward to sharing a lifetime of joy with them. Get help with: * potty training * daycare * back-talk * whining * and many more everyday stresses faced by parents of toddlers

    Too often, however, the mathematics instruction that we impose upon them in the classroom fails to connect with this informal knowledge. Children's Mathematics was written to help you understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding. Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development. Two accompanying CDs provide a remarkable inside look at students and teachers in real classrooms implementing the teaching and learning strategies described in the text. Together, the book and CDs provide you with the foundation necessary to engage children in discussions of how they think through problems-providing suggestions for what problems to give and insight into what responses to expect, and how children's thinking will evolve.

    For years, parents have referred to it as "the Dr. Spock book for parents of gifted children." Gifted children have unique social and emotional concerns, and this book provides the guidance that parents need to support them. Each chapter features problems or issues common to gifted children and their families. Topics include communication, discipline, friends, sibling rivalry, and educational needs.

    More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

    I was smart enough to earn an honors degree in philosophy from Harvard, but an aptitude test told me to avoid computer programming. I'm sure it was right. But then I designed a learning system for myself that quadrupled my aptitude for learning computer languages. It worked so well for me that I've used it to teach coding to grandmothers, cab drivers, musicians, and 50,000 other newbies. "Mark Myers' method of getting what can be...difficult information into a format that makes it exponentially easier to consume, truly understand, and synthesize into real-world application is beyond anything I've encountered before." —Amazon reviewer Jason A. Ruby reviewing my first book, A Smarter Way to Learn JavaScript Quadruple your learning ability. Washington University research shows that a key teaching method I use—interactive recall practice—improves learning performance 400 percent. "I don't feel lost and I don't feel that I am forgetting things as I go along." —Amazon reviewer Leonie M. reviewing my second book, A Smarter Way to Learn HTML and CSS Understanding is easy. Remembering is hard. Computer languages are not inherently hard to understand, even for non-techies. Remembering is the problem. If you remember all of Chapter 1 through Chapter 10, you'll understand Chapter 11. But you don't remember. Though you read and read, most of it doesn't stick. You don't have a solid foundation to build on. Halfway through the book, it all collapses. That's when most people give up."I've signed up to a few sites like Udemy, Codecademy, FreeCodeCamp, Lynda, YouTube videos, even searched on Coursera but nothing seemed to work for me. This book takes only 10 minutes each chapter and after that, you can exercise what you've just learned right away!" —Amazon reviewer Constanza Morales reviewing my first book, A Smarter Way to Learn JavaScript Interactive exercises make it stick. Research shows that you will remember everything if you're repeatedly asked to recall it. That's the beauty of flash cards. But technology offers an even better way to make information stick. With my book you get almost a thousand interactive exercises—they're free online—that embed the whole book in your memory. Algorithms check your work to make sure you know what you think you know. When you stumble, you do the exercise again. You keep trying until you know the chapter cold. "Not only do the exercises make learning fun, they reinforce the material right away so it sinks in deeper." —Amazon reviewer Timothy B. Miller reviewing my second book, A Smarter Way to Learn HTML and CSS You won't get bored or sleepy. The exercises keep you engaged, give you extra practice where you're shaky, and prepare you for each next step. Every lesson is built on top of a solid foundation that you and I have carefully constructed. Each individual step is small. But all the little steps add up to real knowledge—knowledge that you retain. I finally feel like I KNOW it and won't need to look up the syntax each time..." —Amazon reviewer J. Caritas reviewing my third book, A Smarter Way to Learn jQuery Really, it ain't that hard.