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.

        Everything You Need to Ace Math . . . covers everything to get a student over any math hump: fractions, decimals, and how to multiply and divide them; ratios, proportions, and percentages; geometry; statistics and probability; expressions and equations; and the coordinate plane and functions. The BIG FAT NOTEBOOK™ series is built on a simple and irresistible conceit—borrowing the notes from the smartest kid in class. There are five books in all, and each is the only book you need for each main subject taught in middle school: Math, Science, American History, English Language Arts, and World History. Inside the reader will find every subject’s key concepts, easily digested and summarized: Critical ideas highlighted in neon colors. Definitions explained. Doodles that illuminate tricky concepts in marker. Mnemonics for memorable shortcuts. And quizzes to recap it all. The BIG FAT NOTEBOOKS meet Common Core State Standards, Next Generation Science Standards, and state history standards, and are vetted by National and State Teacher of the Year Award–winning teachers. They make learning fun and are the perfect next step for every kid who grew up on Brain Quest.

    Signposted for coverage of FENTO standards, with full coverage of the C&G 7407, 7302, and Cert Ed courses. Retaining the unique style of the previous editions, this is an essential text for students and qualified teachers.

    Included are 175 easy-to-use strategies, lessons, and checklists for effective classroom management, and over 50 reproducible samples that you can adopt immediately for planning, evaluation, or assignments. The Guide helps you create a classroom that reflects the excitement for learning that every English teacher desires.

    Research-based methods for boosting phonemic awareness, phonics, and instant word recognition

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

    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.

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    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.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    For it is these characteristics, the authors write, that develop intelligent, inquiring, life-long learners. The authors’ research shows that many primary grade state standards encourage teaching for understanding, critical thinking, creativity, and question asking, and promote the development of children who have the attributes of inventiveness, curiosity, engagement, imagination, and creativity. With these goals in mind, Georgia and Jennifer provide teachers with numerous, practical ways—setting up “wonder centers,” gathering data though senses, teaching nonfiction craft—they can create a classroom environment where student’s questions and observations are part of daily work.    They also present a step-by-step guide to planning a nonfiction reading and writing unit of study—creating a nonfiction book, which includes creating a table of contents, writing focused chapters, using “wow” words, and developing point of view. A Place for Wonder will help teachers reclaim their classrooms as a place where true learning is the norm.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.