Containing information necessary for teachers to teach math through problem solving, this resource is filled with engaging activities from every strand of mathematics.

    In two years, this ring of card savants earned more than three million dollars. Filled with tense action and incredibly close calls, this is a real-life adventure that could have stepped straight out of a Hollywood film.

    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

    In the fifth edition of this renowned advanced grammar textbook, the new author Dallin D. Oaks of Brigham Young University has preserved Stageberg's clear and concise linguistic approach to grammar instruction while updating the text for the 1990s advanced grammar student. Updated chapter material includes revised examples of an exercises for the material studied and the use of tree diagrams. In addition, the fifth edition emphasizes the significance of English grammar in speech and composition in two new chapters: Usage and Language Variation: Historical, Regional, and Social. Two new appendices--A Basic Introduction to Tree Diagramming and An Introduction to Transformational Grammar--provide further instruction regarding the use of tree diagrams and an overview of Transformational Generative-Grammar. As in previous editions, AN INTRODUCTION TO ENGLISH GRAMMAR, Fifth Edition, provides a linguistic approach to grammar instruction that can be used to teach both advanced grammar and composition as well as non-major introductory linguistics courses.

    Leslie Montgomery and Margot Holmes Smith weave vocabulary into each school day using multisensory instruction that includes music, art, literature, movement, games, drama, writing, test-taking skills, and technology. Along the way, they turn every student into a lover of language.With support from literacy specialist Brenda Overturf, Leslie and Margot have developed a five-part plan—introducing new words in context, adding related synonyms and antonyms, engaging students in several days of active learning, celebrating new words, and assessing vocabulary development—that teaches all students to learn and love vocabulary.This easy-to-read reference explains how to plan, teach, and assess based on the latest research in vocabulary instruction and learning. Forget copying definitions from the dictionary and completing boring worksheets! Word mastery comes from intimate knowledge of language. From prediction to practice to performance, students from all backgrounds can discover how to make words their own. After incorporating Leslie's and Margot's vocabulary plan into your daily instruction, you and your students can become word nerds, too!

    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    The field's leading authorities present accessible recommendations for best practices that can be tailored to fit specific classroom circumstances and student populations. Provided are strategies for helping all students succeed—including struggling readers and English language learners—and for teaching each of the major components of literacy. The book also addresses ways to organize instruction and innovative uses of technology. Chapters include concrete examples, Engagement Activities, and resources for further learning. New to This Edition*Incorporates the latest research findings and instructional practices.*Chapters on motivation, content-area teaching, new literacies, and family literacy.*Addresses timely topics such as response to intervention, the new common core standards, English language learning, and policy issues.

    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

    D. Hirsch, Jr. offers a masterful analysis of how American ideas about education have veered off course, what we must do to right them, and most importantly why. He argues that the core problem with American education is that educational theorists, especially in the early grades, have for the past sixty years rejected academic content in favor of “child-centered” and “how-to” learning theories that are at odds with how children really learn.  The result is failing schools and widening inequality, as only children from content-rich (usually better-off) homes can take advantage of the schools’ educational methods.Hirsch unabashedly confronts the education establishment, arguing that a content-based curriculum is essential to addressing social and economic inequality. A nationwide, specific, grade-by-grade curriculum established in the early school grades can help fulfill one of America’s oldest and most compelling dreams: to give all children, regardless of language, religion, or origins, the opportunity to participate as equals and become competent citizens. Hirsch not only reminds us of these inspiring ideals, he offers an ambitious and specific plan for achieving them.

     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

    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.

    It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.

    In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

    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.

    --Karen Joy FowlerMandelbrot the Magnificent is a stunning, magical pseudo-biography of Benoit Mandelbrot as he flees into deep mathematics to escape the rise of HitlerBorn in Warsaw and growing up in France during the rise of Hitler, Benoit Mandelbrot found escape from the cruelties of the world around him through mathematics. Logic sometimes makes monsters, and Mandelbrot began hunting monsters at an early age. Drawn into the infinite promulgations of formulae, he sinks into secret dimensions and unknown wonders.His gifts do not make his life easier, however. As the Nazis give up the pretense of puppet government in Vichy France, the jealousy of Mandelbrot's classmates leads to denunciation and disaster. The young mathematician must save his family with the secret spaces he's discovered, or his genius will destroy them.