A Mathematician S Lament

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A Mathematician's Lament

Paul Lockhart
A Mathematician s Lament Book PDF

Author : Paul Lockhart
Publisher : Bellevue Literary Press
Page : 144 pages
File Size : 42,5 Mb
Release : 2009-04-01
Category : Mathematics
ISBN : 9781934137338

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A Mathematician's Lament by Paul Lockhart Pdf

“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

Measurement

Paul Lockhart
Measurement Book PDF

Author : Paul Lockhart
Publisher : Harvard University Press
Page : 264 pages
File Size : 44,6 Mb
Release : 2012-09-25
Category : Mathematics
ISBN : 9780674071179

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Measurement by Paul Lockhart Pdf

For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

Arithmetic

Paul Lockhart
Arithmetic Book PDF

Author : Paul Lockhart
Publisher : Harvard University Press
Page : 232 pages
File Size : 44,5 Mb
Release : 2019-07-15
Category : Mathematics
ISBN : 9780674237513

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Arithmetic by Paul Lockhart Pdf

Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.

Mathematics Miseducation

Derek Stolp
Mathematics Miseducation Book PDF

Author : Derek Stolp
Publisher : R&L Education
Page : 208 pages
File Size : 49,9 Mb
Release : 2005-04-07
Category : Education
ISBN : 9781461649915

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Mathematics Miseducation by Derek Stolp Pdf

Author and veteran teacher Derek Stolp has come to the conclusion that learning mathematics is of no real consequence for the vast majority of our children. This stance flies in the face of the conventional wisdom held among political leaders, business people, teachers, and parents that mathematics is an essential subject for all children to study well into their high school years. In Mathematics Miseducation, Stolp argues that mathematics, as currently taught, does not justify inclusion in the curriculum and he suggests practical changes that can be implemented within a traditional school environment to resuscitate mathematics education. In this book, the author demonstrates that our beliefs about what children need and what motivates them to learn promote practices that are counterproductive, and that these practices ultimately corrupt students' own healthy motivations. Stolp contends that there is too much emphasis upon academics in our schools, and that other important dimensions of education, such as the social, emotional, and moral development of our children, are ignored. Includes: ·Progressive and practical alternatives to the traditional methods of teaching ·Research and examples citing ways of bringing the discipline to life In seamlessly weaving theory and practice, Derek Stolp provides a narrative that is accessible to any adult concerned about what our children are learning in mathematics.

The Numbers Behind NUMB3RS

Keith Devlin,Gary Lorden
The Numbers Behind NUMB3RS Book PDF

Author : Keith Devlin,Gary Lorden
Publisher : Penguin
Page : 256 pages
File Size : 43,9 Mb
Release : 2007-08-28
Category : Mathematics
ISBN : 9781101213469

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The Numbers Behind NUMB3RS by Keith Devlin,Gary Lorden Pdf

The companion to the hit CBS crime series Numb3rs presents the fascinating way mathematics is used to fight real-life crime Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin (known to millions of NPR listeners as the Math Guy on NPR's Weekend Edition with Scott Simon) and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.

How Not to Be Wrong

Jordan Ellenberg
How Not to Be Wrong Book PDF

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 54,7 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Topology Through Inquiry

Michael Starbird,Francis Su
Topology Through Inquiry Book PDF

Author : Michael Starbird,Francis Su
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 44,6 Mb
Release : 2020-09-10
Category : Education
ISBN : 9781470462611

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Topology Through Inquiry by Michael Starbird,Francis Su Pdf

Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.

The Great Mental Models, Volume 1

Shane Parrish,Rhiannon Beaubien
The Great Mental Models Volume 1 Book PDF

Author : Shane Parrish,Rhiannon Beaubien
Publisher : Penguin
Page : 0 pages
File Size : 50,8 Mb
Release : 2024-10-15
Category : Business & Economics
ISBN : 9780593719978

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The Great Mental Models, Volume 1 by Shane Parrish,Rhiannon Beaubien Pdf

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.

Plato's Ghost

Jeremy Gray
Plato s Ghost Book PDF

Author : Jeremy Gray
Publisher : Princeton University Press
Page : 528 pages
File Size : 53,9 Mb
Release : 2008-09-02
Category : Mathematics
ISBN : 9781400829040

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Plato's Ghost by Jeremy Gray Pdf

Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.

Sacred Mathematics

Fukagawa Hidetoshi,Tony Rothman
Sacred Mathematics Book PDF

Author : Fukagawa Hidetoshi,Tony Rothman
Publisher : Princeton University Press
Page : 392 pages
File Size : 51,6 Mb
Release : 2021-08-10
Category : Mathematics
ISBN : 9781400829712

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Sacred Mathematics by Fukagawa Hidetoshi,Tony Rothman Pdf

Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided. A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.

Mathematics for Human Flourishing

Francis Su
Mathematics for Human Flourishing Book PDF

Author : Francis Su
Publisher : Yale University Press
Page : 287 pages
File Size : 45,8 Mb
Release : 2020-01-07
Category : Mathematics
ISBN : 9780300237139

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Mathematics for Human Flourishing by Francis Su Pdf

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

The Mathematical Imagination

Matthew Handelman
The Mathematical Imagination Book PDF

Author : Matthew Handelman
Publisher : Fordham Univ Press
Page : 256 pages
File Size : 40,8 Mb
Release : 2019-03-05
Category : Philosophy
ISBN : 9780823283842

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The Mathematical Imagination by Matthew Handelman Pdf

This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present.

Knowing and Learning Mathematics for Teaching

National Research Council,Mathematical Sciences Education Board,Center for Education,Mathematics Teacher Preparation Content Workshop Program Steering Committee
Knowing and Learning Mathematics for Teaching Book PDF

Author : National Research Council,Mathematical Sciences Education Board,Center for Education,Mathematics Teacher Preparation Content Workshop Program Steering Committee
Publisher : National Academies Press
Page : 233 pages
File Size : 48,5 Mb
Release : 2001-02-25
Category : Education
ISBN : 9780309072526

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Knowing and Learning Mathematics for Teaching by National Research Council,Mathematical Sciences Education Board,Center for Education,Mathematics Teacher Preparation Content Workshop Program Steering Committee Pdf

There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

An Introduction to Mathematics

Alfred North Whitehead
An Introduction to Mathematics Book PDF

Author : Alfred North Whitehead
Publisher : Courier Dover Publications
Page : 176 pages
File Size : 51,9 Mb
Release : 2017-05-04
Category : Mathematics
ISBN : 9780486821382

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An Introduction to Mathematics by Alfred North Whitehead Pdf

Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.

Lament

Maggie Stiefvater
Lament Book PDF

Author : Maggie Stiefvater
Publisher : North Star Editions, Inc.
Page : 337 pages
File Size : 47,6 Mb
Release : 2010-09-08
Category : Young Adult Fiction
ISBN : 9780738722290

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Lament by Maggie Stiefvater Pdf

Sixteen-year-old Deirdre Monaghan is a music prodigy, who’s about to find out she can see faeries. Two mysterious (and cute) guys enter her life. Trouble is, Luke is a soulless faerie assassin and Aodhan is a dark faerie soldier. Their orders from the Faerie Queen? Kill Deirdre.