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Becoming the Math Teacher You Wish You'd Had: Ideas and Strategies from Vibrant Classrooms
Tracy Zager - 2017
Pose the same question to students and many will use words like "boring", "useless", and even "humiliating". In
Becoming the Math Teacher You Wish You'd Had
, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy has spent years working with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new ideas from these vibrant classrooms. How to Teach Student-Centered Mathematics: Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learningBig Ideas, Practical Application: This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborateKey Topics for Elementary and Middle School Teachers:
Becoming the Math Teacher You Wish You'd Had
offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachersAll teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Mathematics for the Million: How to Master the Magic of Numbers
Lancelot Hogben - 1937
His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.
The Universe in Zero Words: The Story of Mathematics as Told Through Equations
Dana Mackenzie - 2012
Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics -- the universal language of science -- keep the masterpieces of the subject hidden behind a veil?"The Universe in Zero Words" tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society -- from the elementary (1+1 = 2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E = mc^2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called a "popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives.(From the jacket copy.)Note: The Princeton University Press version (black cover) is for sale in the English-speaking world outside Australia. The Newsouth Press version (blue cover) is for sale in Australia. The two versions are identical except for the covers.
Four Colors Suffice: How the Map Problem Was Solved
Robin J. Wilson - 2002
This is the amazing story of how the "map problem" was solved.The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm.Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.
The Hubble Cosmos: 25 Years of New Vistas in Space
David H. DeVorkin - 2015
Relive key moments in the monumental Hubble story, from launch through major new instrumentation to the promise of discoveries to come. With more than 150 photographs including Hubble All-Stars—the most famous of all the noteworthy images—The Hubble Cosmos shows how this telescope is revolutionizing our understanding of the universe.
Art and Physics: Parallel Visions in Space, Time, and Light
Leonard Shlain - 1993
But in Art & Physics, Leonard Shlain tracks their breakthroughs side by side throughout history to reveal an astonishing correlation of visions.From teh classical Greek sculptors to Andy Warhol and Jasper Johns, and from Aristotle to Einstein, aritsts have foreshadowed the discoveries of scientists, such as when Money and Cezanne intuited the coming upheaval in physics that Einstein would initiate. In this lively and colorful narrative, Leonard Shlain explores how artistic breakthroughs could have prefigured the visionary insights of physicists on so many occasions throughtout history.Provacative and original, Art & Physics is a seamless integration of the romance of art and the drama of science...and exhilarating history of ideas.
Lord Change Me
James MacDonald - 2002
It’s even harder without practical guidance on how to do it.From author James MacDonald:“I have written this book to actually help people change. It's for people who desperately want to change, a practical ‘How-to’ manual… The truths in this book are stained with my own tears of trying and failing and trying again to be the man God wants me to be. So I have written this with the urgency of a loving heart for you and your situation…James MacDonald is serious about the business of change according to God's Word, and he walks you through it in three phases:The Preparation for Change: choosing the right method and partnering with God to select the areas you need to see changeThe Process of Change: exploring the biblical method of saying no to sinful patterns and yes to the things God desires for youThe Power to Change: knowing how to experience the power of God personally and continuouslyIncludes study questions, exercises, and single sentence chapter summaries
Mathematical Mysteries: The Beauty and Magic of Numbers
Calvin C. Clawson - 1996
This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.
About Time: Einstein's Unfinished Revolution
Paul C.W. Davies - 1995
The eternal questions of science and religion were profoundly recast by Einstein's theory of relativity and its implications that time can be warped by motion and gravitation, and that it cannot be meaningfully divided into past, present, and future. In About Time, Paul Davies discusses the big bang theory, chaos theory, and the recent discovery that the universe appears to be younger than some of the objects in it, concluding that Einstein's theory provides only an incomplete understanding of the nature of time. Davies explores unanswered questions such as: * Does the universe have a beginning and an end? * Is the passage of time merely an illusion? * Is it possible to travel backward -- or forward -- in time? About Time weaves physics and metaphysics in a provocative contemplation of time and the universe.
Gödel's Proof
Ernest Nagel - 1958
Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
Fundamentals of Molecular Spectroscopy
Colin N. Banwell - 1983
It remains an elementary and non-mathematical introduction to molecular spectroscopy that emphasizes the overall unity of the subject and offers a pictorial perception rather than a mathematical description of the principles of spectroscopy.
The Five Ages of the Universe: Inside the Physics of Eternity
Fred Adams - 1999
In The Five Ages of the Universe, Adams and Laughlin demonstrate that we can now understand the complete life story of the cosmos from beginning to end. Adams and Laughlin have been hailed as the creators of the definitive long-term projection of the evolution of the universe. Their achievement is awesome in its scale and profound in its scientific breadth. But The Five Ages of the Universe is more than a handbook of the physical processes that guided our past and will shape our future; it is a truly epic story. Without leaving earth, here is a fantastic voyage to the physics of eternity. It is the only biography of the universe you will ever need.
The Universe Next Door: The Making of Tomorrow's Science
Marcus Chown - 2002
Yet this is now an established scientific fact. In The Universe Next Door, science writer Marcus Chown examines a dozen mind-bending new ideas that also fly in the face of reason--but that, according to eminent scientists, might just be crazy enough to be true. Could time run backwards? Is there a fifth dimension? Does quantum theory promise immortality? To explore these questions, Chown has interviewed some of the most imaginative and courageous people working at the forefront of science, and he has come away with a smorgasbord of mind-expanding ideas. For instance, Lawrence Schulman at New York's Clarkson University believes there could be regions in our Universe where stars unexplode, eggs unbreak and living things grow younger with every passing second. Max Tegmark, at the University of Pennsylvania, believes there could be an infinity of realities stacked together like the pages of a never-ending book (with an infinite number of versions of you, living out an infinite number of different lives). And David Stevenson of Cal Tech argues that life may exist on worlds drifting in the cold, dark abyss between the stars, worlds without suns to warm them. Indeed, these worlds may be the most common sites for life in the universe. Was our universe created by super-intelligent beings from another universe? Is there evidence of extraterrestrial life lying right beneath our feet? The Universe Next Door ponders these and many other thought-provoking questions. You may not agree with all the answers but your head will be spinning by the time you reach the last page.
Surviving Galeras
Stanley Williams - 2001
As Williams tried to escape the blast, he was pelted with white-hot projectiles traveling faster than bullets. Within seconds he was cut down, his skull fractured, his right leg almost severed, his backpack aflame. Williams lay helpless and near death on Galeras's flank until two brave women -- friends and fellow volcanologists -- mounted an astonishing rescue effort to carry him safely off the mountain.The tale of how Williams survived Galeras is the framework for a groundbreaking book about volcanoes, their physical and cultural impact, and the tiny cadre of scientists who risk their own lives to gain knowledge that might one day save many others' lives.--BOOK JACKET