Burn Math Class: And Reinvent Mathematics for Yourself


Jason Wilkes - 2016
    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.

Math with Bad Drawings


Ben Orlin - 2018
     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.

Gödel, Escher, Bach: An Eternal Golden Braid


Douglas R. Hofstadter - 1979
    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

Books by Oliver Sacks: The Man Who Mistook His Wife for a Hat / An Anthropologist on Mars/Musicophilia: Tales of Music and the Brain


Books LLC - 2010
    Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: The Man Who Mistook His Wife for a Hat, An Anthropologist on Mars, Musicophilia: Tales of Music and the Brain, Seeing Voices, Migraine, Uncle Tungsten: Memories of a Chemical Boyhood, Awakenings, The Island of the Colorblind, . Source: Wikipedia. Free updates online. Not illustrated. Excerpt: The Man Who Mistook His Wife for a Hat and Other Clinical Tales is a 1985 book by neurologist Oliver Sacks describing the case histories of some of his patients. The title of the book comes from the case study of a man with visual agnosia. The Man Who Mistook His Wife for a Hat became the basis of an opera of the same name by Michael Nyman, which premiered in 1986. The book comprises 24 essays split into 4 sections which each deal with a particular aspect of brain function such as deficits and excesses in the first two sections (with particular emphasis on the right hemisphere of the brain) while the third and fourth describe phenomenological manifestations with reference to spontaneous reminiscences, altered perceptions, and extraordinary qualities of mind found in "retardates." The individual essays in this book include, but are not limited to: Christopher Rawlence wrote the libretto for a chamber opera, directed by Michael Morris with music by Michael Nyman, based on the title story. "The Man Who Mistook His Wife for a Hat" was first produced by the Institute of Contemporary Arts in London in 1986. A television version of the opera was subsequently broadcast in the UK. Peter Brook adapted Sacks's book into an acclaimed theatrical production, "L'Homme Qui...," which premiered at the Theatre des Bouffes du Nord, Paris, in 1993. An Indian theatre company, performed a play The Blue Mug, based on the book, starring Rajat Kapoor, Konkona Sen Sharma, Ranvir Shorey a...More: http: //booksllc.net/?id=3371

About Teaching Mathematics 036068


Marilyn Burns - 1977
    Containing information necessary for teachers to teach math through problem solving, this resource is filled with engaging activities from every strand of mathematics.

The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse


Jennifer Ouellette - 2010
    But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.

Why Does E=mc²? (And Why Should We Care?)


Brian Cox - 2009
    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

Math Curse


Jon Scieszka - 1995
    Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 oranges? Why do 4 kids always have to divide 12 marbles? Why can't you just keep 10 cookies without someone taking 3 away? Why? Because you're the victim of a Math Curse. That's why. But don't despair. This is one girl's story of how that curse can be broken.

Satan, Cantor, and Infinity and Other Mind-Boggling Puzzles


Raymond M. Smullyan - 1992
    The author of What Is the Name of This Book? presents a compilation of more than two hundred challenging new logic puzzles--ranging from simple brainteasers to complex mathematical paradoxes.

Introducing Game Theory: A Graphic Guide


Ivan Pastine - 2017
    Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random.Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.

AA100 The Arts Past and Present - Cultural Encounters (Book 3)


Richard Danson Brown - 2008
    

Schaum's Outline of Differential Equations


Richard Bronson - 2006
    Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.

R for Data Science: Import, Tidy, Transform, Visualize, and Model Data


Hadley Wickham - 2016
    This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You’ll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you’ve learned along the way. You’ll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results

Retrieval Practice: Research & Resources for Every Classroom


Kate Jones - 2020
    This book combines educational research with examples of how retrieval practice can work inside and outside of the classroom.Filled with evidence-informed ideas to support all teachers and leaders across Primary and Secondary. Retrieval practice is a vital element of the science of learning. Understanding how children learn is essential for all educators from NQTs to more experienced teachers and senior leaders.The educational research is presented in a format which is accessible, useful and informative and will help inform educators about cutting-edge research in a comprehensive, clear and applicable way. The practical resources are adaptable and ready to be implemented in any classroom to support and enhance teaching, learning and long term memory.

The Hidden Half: How the World Conceals its Secrets


Michael Blastland - 2019
    In this entertaining and ingenious book, Blastland reveals how in our quest to make the world more understandable, we lose sight of how unexplainable it often is. The result - from GDP figures to medicine - is that experts know a lot less than they think. Filled with compelling stories from economics, genetics, business, and science, The Hidden Half is a warning that an explanation which works in one arena may not work in another. Entertaining and provocative, it will change how you view the world.