Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    Underlining the importance of critical thinking in all matters numerical, Best illustrates his points with examples of good and bad statistics about such contemporary concerns as school shootings, fatal hospital errors, bullying, teen suicides, deaths at the World Trade Center, college ratings, the risks of divorce, racial profiling, and fatalities caused by falling coconuts."More Damned Lies and Statistics" encourages all of us to think in a more sophisticated and skeptical manner about how statistics are used to promote causes, create fear, and advance particular points of view.

    His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

    A special emphasis on the needs of new and struggling teachers includes practical actions for earning student respect and teaching them behavior management skills. The author also introduces a real-time coaching model and explains how to establish a schoolwide Assertive Discipline(r) program.

    UDL is a framework for inclusive education that aims to lower barriers to learning and optimize each individual's opportunity to learn. Novak shows how to use the UDL Guidelines to plan lessons, choose materials, assess learning, and improve instructional practice. Novak discusses key concepts such as scaffolding, vocabulary-building, and using student feedback to inform instruction. She also provides tips on recruiting students as partners in the teaching process, engaging their interest in how they learn. UDL Now! is a fun and effective Monday-morning playbook for great teaching.

    In the West, many have learned of its pleasures, especially after the game appeared in a number of hit movies, TV series, and books, and was included on major Internet game sites. By eliciting the highest powers of rational thought, the game draws players, not just for the thrills of competition, but because they feel it enhances their mental, artistic, and even spiritual lives.Go! More Than a Game uses the most modern methods of teaching, so that, in a few minutes, anyone can understand the two basic rules that generate the game. The object of Go is surrounding territory, but the problem is that while you are doing this, the opponent may be surrounding you! In a series of exciting teaching games, you will watch as Go's beautiful complexities begin to unfold in intertwining patterns of black and white stones. These games progress from small 9x9 boards to 13x13 and then to the traditional 19x19 size.Go! More Than a Game has been completely revised by the author based on new data about the history of early go and the Confucians who wrote about it. This popular book includes updated information such as the impact of computer versions on the game, the mysterious new developments of Go combininatroics, advances in Combinatorial Game Theory and a look at the current international professional playing scene.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    Book Specs Paper BackPublisher: Review & Herald Publishing AssociationPages: 107 Table of Contents

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

    Each chapter starts out with a chapter focus that contains CEC Knowledge and Skills Standards that show you what you are expected to master in the chapter. Concepts are presented in a step-by-step manner followed by exercises that help you understand each step. Portions of assessment instruments, protocols, and scoring tables are provided to help you with the practice exercises. Additionally, you will participate in the educational decision-making process using data from classroom observations, curriculum-based assessment, functional behavior assessment, and norm-referenced assessment. New to the seventh edition: An emphasis on progress monitoring, including progress monitoring applied to the acquisition of knowledge and skills presented in this text The assessment process according to the regulations of IDEA 2004 A separate chapter on transition issues and assessment A separate chapter on assessment in infancy and early childhood A new chapter on the measurement aspects of Response to Intervention Increased consideration of students from culturally and linguistically diverse backgrounds in the assessment process

    We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

    Molinsky and Bill Bliss, is a dynamic, all-skills program that integrates conversation practice, reading, writing, and listening -- all in a light-hearted, fun, and easy-to-use format that has been embraced by students and teachers worldwide. This four-level program promotes native communication between students ... practicing speaking together "side by side." Features of the Third Edition Vocabulary Preview sections in every chapter introduce key words in a lively picture dictionary format. "How to Say It " lessons highlight communication strategies. Pronunciation exercises provide models for practicing authentic pronunciation, stress, and intonation. "Side by Side Gazette" "magazine-style" pages offer feature articles, fact files, vocabulary expansion, cross-cultural topics through photos, authentic listening activities, e-mail exchanges, and humorous cartoons for role-playing. All-new illustrations are lively, light-hearted, and richly detailed to offer students language practice that is contextualized and fun. The core components include Student Books, Teacher's Guides, Activity Workbooks, Activity & Test Prep Workbooks, Communication Games and Activity Masters, audio programs, combined split editions (Student Book and Workbook lessons combined), a testing program, and picture cards.

    But despite universal acceptance of reading's vital importance, the reading gap in our classroom remains, and it is linked to an array of factors, such as parental wealth, education and book ownership, as well as classroom practice. To close this gap, we need to ensure that every teacher has the knowledge and skill to teach reading with confidence.In Closing the Reading Gap, Alex Quigley explores the intriguing history and science of reading, synthesising the debates and presenting a wealth of usable evidence about how children develop most efficiently as successful readers. Offering practical strategies for teachers at every phase of their teaching career, as well as tackling issues such as dyslexia and the role of technology, the book helps teachers to be an expert in how pupils 'learn to read' as well as how they 'read to learn' and explores how reading is vital for unlocking a challenging academic curriculum for every student.With a focus on nurturing pupils' will and skill to read for pleasure and purpose, this essential volume provides practical solutions to help all teachers create a rich reading culture that will enable every student to thrive in school and far beyond the school gates.

    Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.