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How Many? (Talking Math Ser.)
by Christopher DanielsonTalking math with your child is fun and easy with this better approach to counting!Written by a math educator, this innovative book encourages critical thinking and sparks memorable mathematical conversations. You and your child decide what to count on each page. You have many choices, and the longer you look, the more possibilities you'll notice. There are no wrong answers in this book. As long as you're talking about what you see, think, and wonder, you're talking math!
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
by James D. Stein&“Explores the application of math to problem solving in the everyday. . . . [W]ill appeal to both casual and serious fans of math or physics.&” —Publishers Weekly In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a &“perfect&” democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p, and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both &“math for poets&” and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
by William ByersTo many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
How Much Inequality Is Fair?: Mathematical Principles of a Moral, Optimal, and Stable Capitalist Society
by Venkat VenkatasubramanianMany in the United States feel that the nation’s current level of economic inequality is unfair and that capitalism is not working for 90% of the population. Yet some inequality is inevitable. The question is: What level of inequality is fair? Mainstream economics has offered little guidance on fairness and the ideal distribution of income. Political philosophy, meanwhile, has much to say about fairness yet relies on qualitative theories that cannot be verified by empirical data. To address inequality, we need to know what the goal is—and for this, we need a quantitative, testable theory of fairness for free-market capitalism.How Much Inequality Is Fair? synthesizes concepts from economics, political philosophy, game theory, information theory, statistical mechanics, and systems engineering into a mathematical framework for a fair free-market society. The key to this framework is the insight that maximizing fairness means maximizing entropy, which makes it possible to determine the fairest possible level of pay inequality. The framework therefore provides a moral justification for capitalism in mathematical terms. Venkat Venkatasubramanian also compares his theory’s predictions to actual inequality data from various countries—showing, for instance, that Scandinavia has near-ideal fairness, while the United States is markedly unfair—and discusses the theory’s implications for tax policy, social programs, and executive compensation.
How Much Is A Million?
by David M. SchwartzAn attempt to help children conceptualize the immensity of numbers is aided immeasurably by the artist's jovial, detailed, whimsical illustrations.
How Noble in Reason
by Alyn R. RockwoodArtificial Intelligence has already pervaded our lives in so many subtle ways, but how will humans react to the creation of a completely sentient super computer: a hyper-intelligent brain without a body who is as omniscient and omnipresent as the internet itself? How will people approach something that is distinguishable from a human only in its ap
How Not to Be Wrong: The Power of Mathematical Thinking
by Jordan Ellenberg<P>The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our handsThe math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. <P>Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? <P>How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. <P>Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how. <P><b>A New York Times Bestseller</b>
How Numbers Work: Discover the strange and beautiful world of mathematics (Instant Expert)
by New ScientistThink of a number between one and tenNo, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like p which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the square root of minus two and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed. And even some apparently common-or-garden integers such as 37 have special properties. Adventures In Mathematics takes a tour of this mind-blowing but beautiful world of numbers and the mathematical rules that connect them. Find out mathematicians' favourite numbers, and the ones they are afraid of (spoiler: it isn't 13). Discover the incredible connection between numbers and the rules of nature. And learn some amazing mathematical tricks that will keep you amused for hours.
How Numbers Work: Discover the strange and beautiful world of mathematics (New Scientist Instant Expert Ser.)
by New ScientistThink of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. <P><P>The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? <P><P>How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. <P><P>ABOUT THE SERIES <P><P>New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.
How Numbers Work: Discover the strange and beautiful world of mathematics (New Scientist Instant Expert)
by New ScientistHow Numbers Work is a tour of the mind-blowing but beautiful realm of numbers and the mathematical rules that connect them.Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.(P)2018 Hodder & Stoughton Limited
How Our Days Became Numbered: Risk and the Rise of the Statistical Individual
by Dan Bouk“It is hard to write engagingly about insurance and the history of statistics. Bouk has succeeded in this feat . . . a very ambitious book.” ―The American Historical ReviewLong before the age of “Big Data” or the rise of today’s “self-quantifiers,” American capitalism embraced “risk”—and proceeded to number our days. Life insurers led the way, developing numerical practices for measuring individuals and groups, predicting their fates, and intervening in their futures. Emanating from the gilded boardrooms of Lower Manhattan and making their way into drawing rooms and tenement apartments across the nation, these practices soon came to change the futures they purported to divine.How Our Days Became Numbered tells a story of corporate culture remaking American culture—a story of intellectuals and professionals in and around insurance companies who reimagined Americans’ lives through numbers and taught ordinary Americans to do the same. Making individuals statistical did not happen easily. Legislative battles raged over the propriety of discriminating by race or of smoothing away the effects of capitalism’s fluctuations on individuals. Meanwhile, debates within companies set doctors against actuaries and agents, resulting in elaborate, secretive systems of surveillance and calculation.Dan Bouk reveals how, in a little over half a century, insurers laid the groundwork for the much-quantified, risk-infused world that we live in today. To understand how the financial world shapes modern bodies, how risk assessments can perpetuate inequalities of race or sex, and how the quantification and claims of risk on each of us continue to grow, we must take seriously the history of those who view our lives as a series of probabilities to be managed.
How Pi Can Save Your Life: Using Math to Survive Plane Crashes, Zombie Attacks, Alien Encounters, and Other Improbable Real-World Situations
by Chris WaringMath to the rescue! Discover equations for all sorts of real-world situations in this fun guide to surviving an unpredictable world. Learn how to survive absurd yet statistically possible scenarios using the all-encompassing power of mathematical equations! Whether you paid much attention in math class or not, the inescapable truth is that life is full of equations. You use differentiation when driving from point A to B and apply basic geometry when you&’re crossing the road between traffic, even if you don&’t realize it. But what if you were plummeting to your death in a plane with no engine and needed to know what size parachute to make from your cabinmate&’s sari in order to survive? Math teacher Chris Waring tackles some frankly ridiculous scenarios with essential, bulletproof equations so you can learn to: Communicate with an alien civilization Save your town from a zombie apocalypse Contain a major oil spill Excavate a fossil that could be a major scientific discovery Pilot a space shuttle back to earth Guard a priceless painting in the Louvre Perform Hollywood stunts in a blockbuster action film, and more! Praise for Chris Waring &“Exploring the mysteries of math has never been so much fun.&” —Lancashire Evening Post
How Qualitative Data Analysis Happens: Moving Beyond "Themes Emerged"
by Áine Humble Elise RadinaWinner of the 2020 Anselm Strauss Award for Qualitative Family Research, National Council on Family Relations. How is qualitative data actually collected, analyzed, and accomplished? Real stories of How Qualitative Data Analysis Occurs: Moving Beyond "Themes Emerged" offers an in-depth look into how qualitative social science researchers studying family issues and dynamics approach their data analyses. It moves beyond the usual vague statement of "themes emerged from the data" to show readers how researchers actively and consciously arrive at their themes and conclusions, revealing the complexity and time involved in making sense of thousands of pages of interview data, multiple data sources, and diverse types of data. How Qualitative Data Analysis Occurs focuses on a diversity of topics in family research across the life course. The various authors provide detailed narratives into how they analyzed their data from previous publications, and what methodologies they used, ranging from arts-based research, autoethnography, community-based participatory research, ethnography, grounded theory, to narrative analysis. Supplemental figures, images, and screenshots which are referred to in the chapters, are included in an accompanying eResource, as well as links to the previously published work on which the chapters are based. This book is an invaluable resource for experienced and novice qualitative researchers throughout the social sciences.
How Qualitative Data Analysis Happens: Moving Beyond “Themes Emerged”
by Áine M. Humble M. Elise RadinaHow Qualitative Data Analysis Happens: Moving Beyond “Themes Emerged”, offers an in-depth look into how qualitative social science researchers studying a wide range of human experiences and dynamics approach their data analyses. This expanded edition consists of 13 new chapters from a broad range of disciplines (and an added conclusion) that document the stories about how qualitative data analysis occurred.Chapters for this expanded edition represent a diversity of disciplines (e.g., criminology, family science, education, health, nutrition, sociology, sport psychology) that focus on the human experience and describe a diversity of methodological approaches. These chapters may be used to introduce readers to newer or innovative ways of analysing data. It moves beyond the usual vague statement of “themes emerged from the data” to show readers how researchers actively and consciously arrive at their themes and conclusions, revealing the complexity and time involved in making sense of thousands of pages of interview data, multiple data sources, and diverse types of data. The various authors provide detailed narratives into how they analysed their data from previous publications. The methodologies range from arts-based research, autoethnography, community-based participatory research, ethnography, grounded theory, to narrative analysis. The volume allows readers to be seemingly “in the room” with these international scholars (representing Canada, the US, Austria, Germany, the UK, and the Philippines) and getting their own hands vicariously dirty with the data.This expanded edition also includes a conclusion chapter, in which the authors reflect on commonalities across the chapters. Supplemental figures, images, and screenshots, which are referred to in the chapters, are included in an accompanying eResource (that can be accessed at www.routledge.com/ 9781032183213), as well as links to the previously published work on which the chapters are based. This book is an invaluable resource for experienced and novice qualitative researchers throughout the social sciences, as well as undergraduate and postgraduate students in the field.
How Round Is Your Circle?: Where Engineering and Mathematics Meet
by Chris Sangwin John BryantHow do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.
How Slow Is a Sloth?: Measure the Rainforest (Nature Numbers)
by Jill EsbaumIn Nature Numbers, math is beautiful, recognizable, and all around us! Highly engaging pictures of animals and nature scenes, along with cool chalk illustrations, are used to introduce basic math concepts and encourage kids to see a world of numbers all around them.K-2 math concepts include measuring. This book explores measuring elements of the rainforest with amazing nature pictures and chalk illustrations!
How Small Social Systems Work: From Soccer Teams to Jazz Trios and Families (The Frontiers Collection)
by Yair NeumanMost of us are intuitively familiar with small social systems, such as families and soccer teams. Surprisingly, though, most of us are unaware of how complex these systems are or of the fact that they have a unique character distinguishing them from both populations and individuals. The current manuscript, which emerged from high-level scientific publications on the subject, aims to bridge this gap in our understanding of small social systems. The book aims to explain, illustrate, and model the unique and fascinating nature of small (social) systems by relying on deep scientific foundations and by using examples from sport, movies, music, and the martial arts. To support its friendly exposition of challenging scientific ideas, the book also discusses entertaining questions such as (1) why inviting your mother-in-law to dinner might be a challenging event, for reasons you have never considered; (2) why soccer teams should be messy in order to win; (3) why Nazis are deeply wrong in their understanding of the importance of entropy; and (4) why “panda fighters” failed in the UFC (Ultimate Fighting Championship)."How Small Systems Work is a welcome book, which sheds light on a branch of mathematics overlooked by scholars: how networks store information. Focusing on small systems, the book asks fundamental questions, providing the tools (and the examples) for answering them –with fun. Neuman analyses, with plenty of humor, the dynamics of a family of cats, the pleasure of listening to jazz, and the science behind football championships, while uncovering hidden gems in the history of cinema”Dr. Mario Alemi, author of “The Amazing Journey of Reason: from DNA to Artificial Intelligence”
How Things Work: The Computer Science Edition (How Things Work Series)
by Charles F. BowmanIt’s axiomatic to state that people fear what they do not understand, and this is especially true when it comes to technology. However, despite their prevalence, computers remain shrouded in mystery, and many users feel apprehensive when interacting with them. Smartphones have only exacerbated the issue. Indeed, most users of these devices leverage only a small fraction of the power they hold in their hands. How Things Work: The Computer Science Edition is a roadmap for readers who want to overcome their technophobia and harness the full power of everyday technology. Beginning with the basics, the book demystifies the mysterious world of computer science, explains its fundamental concepts in simple terms, and answers the questions many users feel too intimidated to ask. By the end of the book, readers will understand how computers and smart devices function and, more important, how they can make these devices work for them. To complete the picture, the book also introduces readers to the darker side of modern technology: security and privacy concerns, identity theft, and threats from the Dark Web.
How To Solve Word Problems In Algebra, 2nd edition
by Mildred Johnson Tim Johnson"There is no area in algebra which causes students as much difficulty as word problems. Most textbooks in algebra do not have adequate explanations and examples for the student who is having trouble with them...All major types of word problems usually found in algebra texts are here. Emphasis is on the mechanics of word-problem solving because it has been my experience that students having difficulty can learn basic procedures even if they are unable to reason out a problem." Author.
How We Think: A Theory of Goal-Oriented Decision Making and its Educational Applications (Studies in Mathematical Thinking and Learning Series)
by Alan H. SchoenfeldTeachers try to help their students learn. But why do they make the particular teaching choices they do? What resources do they draw upon? What accounts for the success or failure of their efforts? In How We Think, esteemed scholar and mathematician, Alan H. Schoenfeld, proposes a groundbreaking theory and model for how we think and act in the classroom and beyond. Based on thirty years of research on problem solving and teaching, Schoenfeld provides compelling evidence for a concrete approach that describes how teachers, and individuals more generally, navigate their way through in-the-moment decision-making in well-practiced domains. Applying his theoretical model to detailed representations and analyses of teachers at work as well as of professionals outside education, Schoenfeld argues that understanding and recognizing the goal-oriented patterns of our day to day decisions can help identify what makes effective or ineffective behavior in the classroom and beyond.
How We Understand Mathematics: Conceptual Integration In The Language Of Mathematical Description (Mathematics in Mind)
by Jacek WoźnyThis volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.
How Well Do Executives Trust Their Intuition (Data Analytics Applications)
by Yolande Chan Fabio Babiloni Joanna Paliszkiewicz Jay Liebowitz Tracy Jenkin Dylan SpickerIn this age of Big Data and analytics, knowledge gained through experiential learning and intuition may be taking a back seat to analytics. However, the use of intuition should not be underestimated and should play an important role in the decision process. <P><P>How Well Do Executives Trust Their Intuition covers the Fulbright research study conducted by this international team of editors. The main question of their investigation is: How well do executives trust their intuition? In other words, do they typically prefer intuition over analysis and analytics. And equally importantly, what types of intuition may be most favorable looking at different variables? The research utilizes survey and biometrics approaches with C-level executives from Canada, U.S., Poland, and Italy. <P><P>In addition, the book contains chapters from leading executives in industry, academia, and government. Their insights provide examples of how their intuition enabled key decisions that they made. <P><P>This book covers such topics as: <li>Using intuition <li>How gender, experience, role, industry, and country affect intuition <li>Trust and intuition in management <li>Trusting intuition <li>It’s a matter of heart <li>Leadership intuition and the future of work <li>Creating an intuitive awareness for executives <li>Improvisation and instinct. <P><P>The book explores how executives can use intuition to guide decision making. It also explains how to trust intuition-based decisions. How Well Do Executives Trust Their Intuition is a timely and prescient reminder in this age of data-driven analytics that human insight, instinct, and intuition should also play key roles.
How a Tokyo Earthquake Could Devastate Wall Street
by Michael LewisIn 1989, Michael Lewis reported on the potential effects of an earthquake in Japan on world financial markets. His insights are once again timely, and they are presented here as a stand-alone essay with a new introduction: "Real Versus Imaginary Japanese Earthquakes." In the late 1980s, Japanese scientists were trying to figure out the economic damage that would be caused if a catastrophic earthquake destroyed Tokyo. The answer was bleak, but not for Japan. Kaoru Oda, an economist who worked for Tokai Bank, speculated that the United States would end up paying the most. Why? Japan owned trillions of dollars' worth of foreign liquid assets and investments. These assets, which the world depended on, would be sold, forcing countries into the precarious position of having to return large amounts of money they might not have. After the recent earthquake, Michael Lewis reexamined this hypothesis and came to a surprising conclusion. With his characteristic sense of humor and wit, Lewis, once again, explains the inner workings of a financial catastrophe. "How a Tokyo Earthquake Could Devastate Wall Street" appears in Michael Lewis's book The Money Culture.
How the Brain Learns Mathematics
by Dr David A. SousaTo reach all your math students, use your brain—and theirs, too! This updated bestseller takes readers to the next level with new brain-friendly strategies backed by the latest research and even more ways to seamlessly incorporate what you learn about your students’ developing minds into your math classroom. Discover the cognitive mechanisms for learning math, explore factors that contribute to learning difficulties, and follow a four-step teaching model that relates classroom experience to real-world applications. Features include: New strategies for motivating adolescents Integration of the arts into mathematics instruction New information on how technology affects attention and memory Expanded sections on number sense and ELL instruction More than 160 new references
How the World Really Works: The Science Behind How We Got Here and Where We're Going
by Vaclav SmilINSTANT NEW YORK TIMES BESTSELLER&“A new masterpiece from one of my favorite authors… [How The World Really Works] is a compelling and highly readable book that leaves readers with the fundamental grounding needed to help solve the world&’s toughest challenges.&”—Bill Gates &“Provocative but perceptive . . . You can agree or disagree with Smil—accept or doubt his &‘just the facts&’ posture—but you probably shouldn&’t ignore him.&”—The Washington PostAn essential analysis of the modern science and technology that makes our twenty-first century lives possible—a scientist's investigation into what science really does, and does not, accomplish.We have never had so much information at our fingertips and yet most of us don&’t know how the world really works. This book explains seven of the most fundamental realities governing our survival and prosperity. From energy and food production, through our material world and its globalization, to risks, our environment and its future, How the World Really Works offers a much-needed reality check—because before we can tackle problems effectively, we must understand the facts. In this ambitious and thought-provoking book we see, for example, that globalization isn&’t inevitable—the foolishness of allowing 70 per cent of the world&’s rubber gloves to be made in just one factory became glaringly obvious in 2020—and that our societies have been steadily increasing their dependence on fossil fuels, such that any promises of decarbonization by 2050 are a fairy tale. For example, each greenhouse-grown supermarket-bought tomato has the equivalent of five tablespoons of diesel embedded in its production, and we have no way of producing steel, cement or plastics at required scales without huge carbon emissions. Ultimately, Smil answers the most profound question of our age: are we irrevocably doomed or is a brighter utopia ahead? Compelling, data-rich and revisionist, this wonderfully broad, interdisciplinary guide finds faults with both extremes. Looking at the world through this quantitative lens reveals hidden truths that change the way we see our past, present and uncertain future.