The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.

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Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.

Personal Finance is the comprehensive companion textbook for Budget Challenge, the award-winning, real-time financial literacy simulation used by over 850,000 students and over 10,000 teachers. Highly relevant topics, student-focused narrative, section pre-reading questions, and charts, graphics and text using the latest data make Personal Finance the most relevant and compelling financial literacy textbook available. End-of-chapter questions focus on application and higher-order thinking skills with Math, ELA, and In the Sim extension questions and activities for each chapter. The seventeen chapters include Keys to Financial Success, Playing Budget Challenge, Employment, Banking, Loans and Credit Cards, Savings and Investing, Investing for Retirement, Purchasing and Consumer Protection, Buying or Leasing a Vehicle, Housing, Insurance and Managing Risk: Motor Vehicle and Property, Insurance and Managing Risk: Health, Life and Disability, Building and Managing Credit, Data Security, Taxes, The Next Steps, and Paying for College. Budget Challenge meets state standards for financial literacy or personal finance. State standards correlation document available on request. Available companion teacher guide includes lesson suggestions, content area vocabulary, answer keys, and additional reproducible student resources.

In Reading in the Wild, reading expert Donalyn Miller continues the conversation that began in her bestselling book, The Book Whisperer. While The Book Whisperer revealed the secrets of getting students to love reading, Reading in the Wild, written with reading teacher Susan Kelley, describes how to truly instill lifelong "wild" reading habits in our students. Based, in part, on survey responses from adult readers as well as students, Reading in the Wild offers solid advice and strategies on how to develop, encourage, and assess five key reading habits that cultivate a lifelong love of reading. Also included are strategies, lesson plans, management tools, and comprehensive lists of recommended books. Copublished with Editorial Projects in Education, publisher of Education Week and Teacher magazine, Reading in the Wild is packed with ideas for helping students build capacity for a lifetime of "wild" reading. "When the thrill of choice reading starts to fade, it's time to grab Reading in the Wild. This treasure trove of resources and management techniques will enhance and improve existing classroom systems and structures." —Cris Tovani, secondary teacher, Cherry Creek School District, Colorado, consultant, and author of Do I Really Have to Teach Reading? "With Reading in the Wild, Donalyn Miller gives educators another important book. She reminds us that creating lifelong readers goes far beyond the first step of putting good books into kids' hands." —Franki Sibberson, third-grade teacher, Dublin City Schools, Dublin, Ohio, and author of Beyond Leveled Books "Reading in the Wild, along with the now legendary The Book Whisperer, constitutes the complete guide to creating a stimulating literature program that also gets students excited about pleasure reading, the kind of reading that best prepares students for understanding demanding academic texts. In other words, Donalyn Miller has solved one of the central problems in language education." —Stephen Krashen, professor emeritus, University of Southern California

Learn how you can tackle everyday leadership challenges regardless of your title, position, or authority with this insightful resource A book about leadership for people who are not in formal or hierarchical leadership positions, Everyday People, Extraordinary Leadership provides readers with a comprehensive and practical approach to addressing leadership challenges, no matter the setting or circumstance. Esteemed scholars and sought-after consultants Jim Kouzes and Barry Posner adapt their trademark The Five Practices of Exemplary Leadership® framework to today’s more horizontal workplace, showing people that leadership is not about where you are in the organization; it’s about how you behave and what you do. Everyday People, Extraordinary Leadership draws on the authors’ deep well of research and practical experience to cover key subjects: The essence of making a difference in any role, setting, or situation The difference between positions of authority and leadership The importance of self-development in leadership development This book is perfectly applicable and accessible for anyone who wants to improve their own leadership potential and who isn’t yet in an official leadership role. Everyday People, Extraordinary Leadership offers authoritative new insights, original case studies and examples, and practical guidance for those individuals who want to make a difference. You supply the will, and this book will supply the way.