The Heart of Mathematics

An Invitation to Effective Thinking

Author: Edward B. Burger,Michael P. Starbird

Publisher: Springer Science & Business Media

ISBN: 9781931914413

Category: Mathematics

Page: 760

View: 2608

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The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

The Heart of Mathematics

An Invitation to Effective Thinking

Author: Edward B. Burger

Publisher: Wiley

ISBN: 9781118235706

Category: Mathematics

Page: 928

View: 8356

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This text is an unbound, binder-ready edition. Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors’ humor and enthusiasm throughout, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

Coincidences, Chaos, and All that Math Jazz

Making Light of Weighty Ideas

Author: Edward B. Burger,Michael P. Starbird

Publisher: W. W. Norton & Company

ISBN: 9780393059458

Category: Science

Page: 276

View: 6403

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An irreverent and accessible explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, the shape of the universe as reflected by a twisted strip of paper, and the parallels between the Lincoln and Kennedy assassinations. 50,000 first printing.

The Heart of Mathematics

An Invitation to Effective Thinking

Author: Edward B. Burger,Michael Starbird

Publisher: Wiley

ISBN: 9780470424766

Category: Mathematics

Page: 976

View: 9493

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Make mathematics fun and satisfying for everyone Math can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thought—if you have the right approach and the right guide. The Heart of Mathematics: An Invitation to Effective Thinking­—now in its third edition—transforms mathematics into an engaging, relevant experience even for the most math-phobic student. Infusing this book with humor and enthusiasm, Edward B. Burger and Michael Starbird—both recipients of the Mathematical Association of America’s foremost national teaching award and countless state, regional, and campus-wide teaching honors—introduce students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking. Richer and more rewarding than ever, this new edition features: An emphasis on mathematical methods of investigation Visualization techniques that make key concepts easier to understand Accessible, friendly writing style that encourages critical thinking "Life Lessons"-effective methods of thinking that students will retain and apply beyond the classroom End of section Mindscape activities for the development of application, problem-solving, and argumentation skills

The 5 Elements of Effective Thinking

Author: Edward B. Burger,Michael Starbird

Publisher: Princeton University Press

ISBN: 1400844568

Category: Self-Help

Page: 168

View: 7011

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The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, The 5 Elements of Effective Thinking is written for all who want to reach their fullest potential--including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners. Whenever you are stuck, need a new idea, or want to learn and grow, The 5 Elements of Effective Thinking will inspire and guide you on your way. To share thinking stories, go to: http://5elementsofthinking.wordpress.com

The Heart of Mathematics: An Invitation to Effective Thinking, 4th Edition

Author: Edward B. Burger,Michael Starbird

Publisher: Wiley Global Education

ISBN: 1118475747

Category: Mathematics

Page: 976

View: 6952

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Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors’ humor and enthusiasm throughout, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

The Heart of Mathematics

An Invitation to Effective Thinking, 3rd Edition Binder Ready Version with Binder Set

Author: Edward B. Burger,William F. Burger,Michael Starbird

Publisher: John Wiley & Sons

ISBN: 9780470557730

Category: Mathematics

Page: 948

View: 9520

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Making Transcendence Transparent

An intuitive approach to classical transcendental number theory

Author: Edward B. Burger,Robert Tubbs

Publisher: Springer Science & Business Media

ISBN: 1475741146

Category: Mathematics

Page: 263

View: 6569

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This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Distilling Ideas

An Introduction to Mathematical Thinking

Author: Brian P. Katz,Michael Starbird,Michael P. Starbird

Publisher: MAA

ISBN: 1939512034

Category: Mathematics

Page: 171

View: 2954

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Designed for undergraduate students and lecturers, this text guides its users to develop the skills, attitudes, and habits of mind of a mathematician. It presents a carefully designed sequence of exercises and theorems so that its readers will be directed to discover mathematical ideas, strategies of proof, and strategies of thinking. Through the exploration of interesting mathematical content including graphs, groups, and calculus, this book helps to foster habits of inquiry. This book can be used by instructors as a text for an inquiry-based introduction to proof course, or as an independent study guide for mathematics students. The three core mathematical topics are presented separately, and each helps students develop theorem-proving skills and strategies of thinking whilst also providing an organised set of challenges that lead students to understand the process of mathematical creativity and development.

The Heart of Mathematics

An Invitation to Effective Thinking

Author: Edward B. Burger,Michael Starbird

Publisher: Wiley

ISBN: 9781118156599

Category: Mathematics

Page: 928

View: 4209

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This book offers an engaging and mind-opening experience for even the most math-phobic users. It is written for non-math, non-science-oriented majors and encourages students to discover the mathematics inherent in the world around them. Infused throughout with the authors' humor and enthusiasm, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

Extending the Frontiers of Mathematics

Inquiries Into Proof and Argumentation

Author: Edward B. Burger

Publisher: Key College Pub

ISBN: N.A

Category: Computers

Page: 171

View: 9701

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This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.

Words Matter

Communicating Effectively in the New Global Office

Author: Elizabeth Keating,Sirkka L. Jarvenpaa

Publisher: Univ of California Press

ISBN: 0520291379

Category: Business & Economics

Page: 192

View: 8396

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In a twenty-first-century global economy, in which multinational companies coordinate and collaborate with partners and clientele around the world, it is usually English that is the parlance of business, research, technology, and finance. Most assume that if parties on both ends of the conference call are fluent English speakers, information will be shared seamlessly and without any misunderstanding. But is that really true? Words Matter examines how communications between transnational partners routinely break down, even when all parties are fluent English speakers. The end result is lost time, lost money, and often discord among those involved. What’s going wrong? Contrary to a common assumption, language is never neutral. Its is heavily influenced by one’s culture and can often result in unintended meanings depending on word choice, a particular phrase, or even one’s inflection. A recent study of corporate managers found that one out of five projects fail primarily because of ineffective transnational communication, resulting in the loss of millions of dollars. In Words Matter, you will venture into the halls of multinational tech companies around the world to study language and culture at work; learn practical steps for harnessing research in communication and anthropology to become more skilled in the digital workplace; and learn to use the “Communication Plus Model,” which can be easily applied in multiple situations, leading to better communication and better business outcomes.

Conjectures and Refutations

The Growth of Scientific Knowledge

Author: Karl Popper

Publisher: Routledge

ISBN: 1135971374

Category: Philosophy

Page: 608

View: 6338

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Conjectures and Refutations is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.

How to Think Like a Mathematician

A Companion to Undergraduate Mathematics

Author: Kevin Houston

Publisher: Cambridge University Press

ISBN: 9781139477055

Category: Mathematics

Page: N.A

View: 8997

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Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

Math Workshop in Action

Strategies for Grades K-5

Author: Nicki Newton

Publisher: Routledge

ISBN: 1317663918

Category: Education

Page: 160

View: 6955

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Find out how Math Workshops engage students and increase learning. This practical book from bestselling author Dr. Nicki Newton explains why Math Workshops are effective and gives you step-by-step instructions for implementing and managing your own workshop. You’ll find out how to... create a math-rich environment; use anchor charts effectively; manage the workshop; begin a workshop with activities; lead whole-group mini-lessons; make workstations meaningful and engaging; create guided math groups; implement "the Share" effectively; and ensure balanced assessments. Each chapter offers a variety of charts and tools that you can use in the classroom immediately, as well as reflection questions and key points. The book also features a handy Quick-Start Guide to help you as you implement your own workshop.

Math on Trial

How Numbers Get Used and Abused in the Courtroom

Author: Leila Schneps,Coralie Colmez

Publisher: Basic Books

ISBN: 0465037941

Category: Mathematics

Page: 272

View: 7007

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In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by journalists, politicians or other public figures, but in the case of the law your liberty—and your life—can depend on the right calculation. Math on Trial tells the story of ten trials in which mathematical arguments were used—and disastrously misused—as evidence. Despite years of math classes, most people (and most jurors) fail to detect even simple mathematical sophistry, resulting in such horrors as a medical expert’s faulty calculation of probabilities providing the key evidence for a British mother’s conviction for the murder of her two babies. The conviction was later overturned, but three years in prison took its toll—Sally Clark died of acute alcohol intoxication in March of 2007. Mathematicians Leila Schneps and Coralie Colmez use a wide range of examples, from a mid-19th-century dispute over wills that became a signal case in the forensic use of mathematics, to the conviction and subsequent exoneration of Amanda Knox, to show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. The cases discussed include: -The Case of Amanda Knox (How a judge’s denial of a second DNA test may have destroyed a chance to reveal the truth about Meredith Kercher’s murder) -The Case of Joe Sneed (How a fabricated probability framed a son for his parents’ grisly killing) -The Case of Sally Clark (How multiplying non-independent probabilities landed an innocent mother in jail for the murder of her children) -The Case of Janet Collins (How unjustified estimates combined with a miscalculated probability convicted an innocent couple of violent robbery) A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, Hetty Green, and Oliver Wendell Holmes, Math on Trial shows that legal expertise isn’t everything when it comes to proving a man innocent.

Number Theory Through Inquiry

Author: David C. Marshall,Edward Odell,Michael Starbird

Publisher: MAA

ISBN: 0883857510

Category: Mathematics

Page: 140

View: 6718

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This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method, which gives students a totally different experience compared to a standard lecture course. Students develop an attitude of personal reliance and a sense that they can think effectively about difficult problems; goals that are fundamental to the educational enterprise within and beyond mathematics.