These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    Nothing is impossible when one digs deep,and looks at students through a new lens.

    It is the first college teaching guide that encourages faculty to embrace their inner nerd, inviting readers to view themselves and their teaching work in light of contemporary discourse that celebrates increasingly diverse geek culture and explores stereotypes about super-smart introverts.Geeky Pedagogy avoids the excessive jargon, humorlessness, and endless proscriptions that plague much published advice about teaching. Neuhaus is aware of how embodied identity and employment status shape one’s teaching context, and she eschews formulaic depictions of idealized exemplar teaching, instead inviting readers to join her in an engaging, critically reflective conversation about the vicissitudes of teaching and learning in higher education as a geek, introvert, or nerd. Written for the wonks and eggheads who want to translate their vast scholarly expertise into authentic student learning, Geeky Pedagogy is packed with practical advice and encouragement for increasing readers’ pedagogical knowledge.

    A no-holds-barred assault on outdated teaching methods--with dramatic & practical proposals on how education can be made relevant to today's world.IntroductionCrap detecting The medium is the message, of course The inquiry method Pursuing relevance What's worth knowing?Meaning making Languaging New teachersCity schoolsNew languages: the media-Two alternatives So what do you do now? Strategies for survival

    This straight-forward, affordable text provides classroom-proven strategies to improve middle and secondary students' comprehension of content area texts. Each chapter opens with a vignette from actual classrooms, offering a glimpse into a middle or secondary classroom, and presenting the chapter's instructional strategy within content area teaching. These scenarios are followed by a research-based rationale for each strategy, an in-depth look at implementing the strategy, and examples of each strategy across the curriculum. A new focus in each chapter on English learners, and new features examining struggling readers, give you insight to support these learners. New Media Notes clarify opportunities to use different technologies to enhance teaching. Together these elements provide you with the tools to support your middle and secondary students' comprehension and success.

    Best-selling author Mike Schmoker boils down solutions for improved schools to the most powerful, simple actions and structures that ensure you prepare all students for college, careers, and citizenship.

    Rod Judkins, a lecturer in creativity at the world-famous St Martin's College of Art, will examine the behaviour of successful creative thinkers and explain how all of us can learn from them to improve our lives. Judkins will draw on an extraordinary range of reference points, from the Dada Manifesto to Andy Warhol's studio, via Steve Jobs, Nobel Prize winning economists and many others, and distil a lifetime's expertise into 90 succinct chapters. Along the way he shares the story of most successful class in educational history (in which every single student won a Nobel prize); shows why graphic nudity during public speaking can be both a curse and surprisingly persuasive; and reveals why, in the twenty-first century, it's technically illegal to be as good as good as Michelangelo.

    Written by one of the foremost experts on mathematical magic, it employs considerable historical data to summarize all previous work in this field. It is also a creative examination of laws and their exemplification, with scores of new tricks, insights, and demonstrations. Dozens of topological tricks are explained, and dozens of manipulation tricks are aligned with mathematical law.Nontechnical, detailed, and clear, this volume contains 115 sections discussing tricks with cards, dice, coins, etc.; topological tricks with handkerchiefs, cards, etc.; geometrical vanishing effects; demonstrations with pure numbers; and dozens of other topics. You will learn how a Moebius strip works and how a Curry square can "prove" that the whole is not equal to the sum of its parts.No skill at sleight of hand is needed to perform the more than 500 tricks described because mathematics guarantees their success. Detailed examination of laws and their application permits you to create your own problems and effects.

    In this short, provocative, and useful HBR Single, motivational psychologist Heidi Grant Halvorson translates the psychological secrets of these winning human beings for your use. Halvorson expands on her immensely popular blog post to give more detail on each of her nine suggested actions-from getting specific about goals and aggressively monitoring your achievements to understanding the importance of having "grit." By emphasizing what successful people do consistently and effectively, Halvorson provides the path to help you accomplish your goals, once and for all.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Filled with examples and vignettes, the emphasis is always on teaching methods that promote student independence at all education levels. Its non-categorical approach helps ensure all students’ success regardless of their specific categories of exceptionality.The Sixth edition integrates today’s expectations for students with the authors’ strong commitment to inclusive practices, tempered by the realities of day-today teaching. This text provides a firm grounding in special education practices, an understanding of the professionals who support these students and the procedures followed to ensure their rights are upheld, and a wealth of research-based strategies and interventions that can foster their success.

    You know how the standards emerged, what they cover, and how they are organized. But how do you translate the new standards into practice?Enter the Core Six: six research-based, classroom-proven strategies that will help you and your students respond to the demands of the Common Core. Thanks to more than 40 years of research and hands-on classroom testing, the authors know the best strategies to increase student engagement and achievement and prepare students for college and career. Best of all, these strategies can be used across all grade levels and subject areas.The Core Six include1. Reading for Meaning.2. Compare & Contrast.3. Inductive Learning.4. Circle of Knowledge.5. Write to Learn.6. Vocabulary's CODE.For each strategy, this practical book provides* Reasons for using the strategy to address the goals of the Common Core.* The research behind the strategy.* A checklist for implementing the strategy in the classroom.* Multiple sample lessons that illustrate the strategy in action.* Planning considerations to ensure your effective use of the strategy.Any strategy can fall flat in the classroom. By offering tips on how to capture students' interest, deepen students' understanding of each strategy, use discussion and questioning techniques to extend student thinking, and ask students to synthesize and transfer their learning, The Core Six will ensure that your instruction is inspired rather than tired.

    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

    Penrose, a cat with a knack for math, takes children on an adventurous tour of mathematical concepts from fractals to infinity.

    students continue to slip behind in the worlds rankings in science and math. Yet, at the same time, state prison budgets are increasing nearly three times as fast as budgets for education. In her new book, Linda Darling-Hammond, a chief education advisor to President Barack Obama, a bestselling author, and a nationally recognized leader in education reform, explores how America's performance globally is linked to the minority-majority achievement gap at home.