The Power of Mathematical Numbers

The Power of Mathematical Numbers

Author: Rajesh Kumar Thakur

Publisher: Prabhat Prakashan

ISBN: 9788184303049

Category: Education

Page: 206

View: 861

Since the time of human evolution; the affinity of human beings with numbers is well known. The Quipu helped people count sheep in herd; peebles helped Pythagoras to think of number like triangular numbers; square numbers and the journey to search for numbers is still continuing. This book talks about different kind of numbers—Numbers named on Mathematicians; Figurative numbers; Quotation of numbers besides focussing on characteristics of numbers from 0 to 100. This book certainly helps the ‘number lovers’ all around the world to see a new dimension in terms of universe of numbers.

How Not to Be Wrong

How Not to Be Wrong

Author: Jordan Ellenberg

Publisher: Penguin

ISBN: 9780143127536

Category: Mathematics

Page: 482

View: 364

“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The 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. 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? 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. 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.

How Not to be Wrong

How Not to be Wrong

Author: Jordan Ellenberg

Publisher: Penguin Books Limited

ISBN: 071819604X

Category: Mathematics

Page: 468

View: 459

THE SUNDAY TIMES BESTSELLER The maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.

The Mathematics Teacher's Handbook

The Mathematics Teacher's Handbook

Author: Mike Ollerton

Publisher: A&C Black

ISBN: 9781847060112

Category: Education

Page: 189

View: 609

A comprehensive handbook for mathematics teachers with practical advice on all aspects of the maths curriculum including developing an effective classroom culture, assessment and progressing mathematical concept development.

Summing it Up

Summing it Up

Author: Avner Ash

Publisher:

ISBN: 0691170193

Category: Mathematics

Page: 229

View: 988

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series--long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms--the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.

The Magic Numbers: A handbook on the power of Mathematics and how it has transformed our world

The Magic Numbers: A handbook on the power of Mathematics and how it has transformed our world

Author: Hoe Yeen Nie

Publisher: Marshall Cavendish International Asia Pte Ltd

ISBN: 9789815066784

Category: Juvenile Nonfiction

Page: 74

View: 838

Mathematics is more fun, mysterious and magical than many of us realise, and it is present in all aspects of our lives. We certainly can’t live without it! Why is zero considered the most dangerous number? How did ancient Egyptians measure the world with just a simple stick? What was the math error that caused a NASA rocket to blow up? Which language is used every day all over the world, and is purely made up of numbers? Documentary filmmaker Hoe Yeen Nie and historian/artist David Liew take you on a quest to unlock the secret world of numbers and math, and explore how it has transformed our lives in all sorts of incredible ways. Are you ready for an amazing adventure? The Change Makers series of books will build in children a strong sense of inquiry — to arm them with knowledge in S.T.E.A.M. (Science, Technology, Engineering, Art and Math) to tackle this brave new world of unknowns.

Number Theory in Mathematics Education

Number Theory in Mathematics Education

Author: Rina Zazkis

Publisher: Routledge

ISBN: 9781136501432

Category: Education

Page: 306

View: 300

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

The Power of Birthdays, Stars & Numbers

The Power of Birthdays, Stars & Numbers

Author: Saffi Crawford

Publisher: Ballantine Books

ISBN: 9780307489722

Category: Body, Mind & Spirit

Page: 840

View: 380

The most complete, comprehensive birthday forecast available--synthesizing the secrets of astrology, numerology, and fixed stars! In this delightfully addictive, wholly accessible book, two skilled astrologers guide you toward greater psychological insight, self-awareness, and a keen understanding of your unique position in the universe. Packed with an extraordinary wealth of knowledge and clear, easy-to-interpret graphs and charts, The Power of Birthdays, Stars and Numbers provides: ¸ BIRTHDAY FORECASTS--366 profiles--one for each day of the year--reveal your positive and negative personality traits, career strengths, tips on love and relationships, your secret self, your best days for romance and friendship, potential fatal attractions, famous people who share your birthday, and much more! INCLUDING! ¸ FIXED STARS--Though astrologers have used fixed stars for centuries, now the general public can reap the rewards of this classic method for enlightenment. The stars that line the heavens radiate great power, depending on your date of birth. You'll learn your primary fixed star plus those that influence your astrological chart. ¸ NUMEROLOGICAL PROFILES--Discover the importance of the nine basic numbers, and learn how to calculate your holistic number (which reveals your life purpose) and your personal year number (which sheds light on what specific lessons a particular year has in store for you). Travel beyond the twelve signs of the zodiac and tap into The Power of Birthdays, Stars and Numbers. You hold centuries of wisdom in your hands.

Arguing with Numbers

Arguing with Numbers

Author: James Wynn

Publisher: Penn State Press

ISBN: 9780271089218

Category: Language Arts & Disciplines

Page: 174

View: 577

As discrete fields of inquiry, rhetoric and mathematics have long been considered antithetical to each other. That is, if mathematics explains or describes the phenomena it studies with certainty, persuasion is not needed. This volume calls into question the view that mathematics is free of rhetoric. Through nine studies of the intersections between these two disciplines, Arguing with Numbers shows that mathematics is in fact deeply rhetorical. Using rhetoric as a lens to analyze mathematically based arguments in public policy, political and economic theory, and even literature, the essays in this volume reveal how mathematics influences the values and beliefs with which we assess the world and make decisions and how our worldviews influence the kinds of mathematical instruments we construct and accept. In addition, contributors examine how concepts of rhetoric—such as analogy and visuality—have been employed in mathematical and scientific reasoning, including in the theorems of mathematical physicists and the geometrical diagramming of natural scientists. Challenging academic orthodoxy, these scholars reject a math-equals-truth reduction in favor of a more constructivist theory of mathematics as dynamic, evolving, and powerfully persuasive. By bringing these disparate lines of inquiry into conversation with one another, Arguing with Numbers provides inspiration to students, established scholars, and anyone inside or outside rhetorical studies who might be interested in exploring the intersections between the two disciplines. In addition to the editors, the contributors to this volume are Catherine Chaput, Crystal Broch Colombini, Nathan Crick, Michael Dreher, Jeanne Fahnestock, Andrew C. Jones, Joseph Little, and Edward Schiappa.

Critical Issues in Mathematics Education

Critical Issues in Mathematics Education

Author: Bharath Sriraman

Publisher: IAP

ISBN: 9781607522188

Category: Mathematics

Page: 503

View: 677

The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.