Mathematics Common Sense

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Common Sense Mathematics: Second Edition

Author : Ethan D. Bolker
Publisher : American Mathematical Soc.
ISBN 13 : 147046134X
Total Pages : 342 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Common Sense Mathematics: Second Edition by : Ethan D. Bolker

Download or read book Common Sense Mathematics: Second Edition written by Ethan D. Bolker and published by American Mathematical Soc.. This book was released on 2021-01-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

Mathematics & Common Sense

Author : Philip J. Davis
Publisher : CRC Press
ISBN 13 : 1439864322
Total Pages : 292 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics & Common Sense by : Philip J. Davis

Download or read book Mathematics & Common Sense written by Philip J. Davis and published by CRC Press. This book was released on 2006-11-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.

Common Sense Mathematics

Author : Ethan Bolker
Publisher :
ISBN 13 : 9781133610533
Total Pages : 640 pages
Book Rating : 4.6/5 (15 download)

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Book Synopsis Common Sense Mathematics by : Ethan Bolker

Download or read book Common Sense Mathematics written by Ethan Bolker and published by . This book was released on 1948-02-05 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving the Frame Problem

Author : Murray Shanahan
Publisher : MIT Press
ISBN 13 : 9780262193849
Total Pages : 456 pages
Book Rating : 4.1/5 (938 download)

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Book Synopsis Solving the Frame Problem by : Murray Shanahan

Download or read book Solving the Frame Problem written by Murray Shanahan and published by MIT Press. This book was released on 1997 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1969, John McCarthy and Pat Hayes uncovered a problem that has haunted the field of artificial intelligence ever since--the frame problem. The problem arises when logic is used to describe the effects of actions and events. Put simply, it is the problem of representing what remains unchanged as a result of an action or event. Many researchers in artificial intelligence believe that its solution is vital to the realization of the field's goals. Solving the Frame Problem presents the various approaches to the frame problem that have been proposed over the years. The author presents the material chronologically--as an unfolding story rather than as a body of theory to be learned by rote. There are lessons to be learned even from the dead ends researchers have pursued, for they deepen our understanding of the issues surrounding the frame problem. In the book's concluding chapters, the author offers his own work on event calculus, which he claims comes very close to a complete solution to the frame problem. Artificial Intelligence series

Reaching for the Moon

Author : Katherine Johnson
Publisher : Atheneum Books for Young Readers
ISBN 13 : 1534440844
Total Pages : 272 pages
Book Rating : 4.5/5 (344 download)

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Book Synopsis Reaching for the Moon by : Katherine Johnson

Download or read book Reaching for the Moon written by Katherine Johnson and published by Atheneum Books for Young Readers. This book was released on 2020-05-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: “This rich volume is a national treasure.” —Kirkus Reviews (starred review) “Captivating, informative, and inspiring…Easy to follow and hard to put down.” —School Library Journal (starred review) The inspiring autobiography of NASA mathematician Katherine Johnson, who helped launch Apollo 11. As a young girl, Katherine Johnson showed an exceptional aptitude for math. In school she quickly skipped ahead several grades and was soon studying complex equations with the support of a professor who saw great promise in her. But ability and opportunity did not always go hand in hand. As an African American and a girl growing up in an era of brutal racism and sexism, Katherine faced daily challenges. Still, she lived her life with her father’s words in mind: “You are no better than anyone else, and nobody else is better than you.” In the early 1950s, Katherine was thrilled to join the organization that would become NASA. She worked on many of NASA’s biggest projects including the Apollo 11 mission that landed the first men on the moon. Katherine Johnson’s story was made famous in the bestselling book and Oscar-nominated film Hidden Figures. Now in Reaching for the Moon she tells her own story for the first time, in a lively autobiography that will inspire young readers everywhere.

Statistics with Common Sense

Author : David Kault
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313052875
Total Pages : 272 pages
Book Rating : 4.3/5 (13 download)

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Book Synopsis Statistics with Common Sense by : David Kault

Download or read book Statistics with Common Sense written by David Kault and published by Bloomsbury Publishing USA. This book was released on 2003-04-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applying statistical results to real life situations can be difficult or futile if you can't be certain what the results actually mean. This reference guide provides readers with the frequently elusive link between statistical results and practical applications. Students will learn the basic concepts and principles of statistics and probability, without getting bogged down in complicated theories and abstractions. Many statistics texts rely too heavily on mathematical formulas. Kault restores the emphasis to understanding statistical results and using common sense in decision making. Everyday examples bring the concepts to life. In the entry on hypothesis testing, Kault examines how a statistical result incorrectly overruled the common sense of many doctors. A chapter on random variables shows the chance that students will carry cell phones, and a chapter on categorical measurements uses statistics to determine the efficiency of a new treatment for a serious disease. Each chapter ends with questions that will help students further understand important concepts. Useful on its own and perfect as a means of expanding classroom discussions, this book is ideal for high school students or anyone needing to review the basics of statistics.

The Common Sense of Teaching Mathematics

Author : Caleb Gattegno
Publisher : Educational Solutions World
ISBN 13 : 0878252207
Total Pages : 208 pages
Book Rating : 4.8/5 (782 download)

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Book Synopsis The Common Sense of Teaching Mathematics by : Caleb Gattegno

Download or read book The Common Sense of Teaching Mathematics written by Caleb Gattegno and published by Educational Solutions World. This book was released on 2010-07-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience." C. Gattegno

Professor Stewart's Incredible Numbers

Author : Ian Stewart
Publisher : Basic Books
ISBN 13 : 0465042716
Total Pages : 353 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Professor Stewart's Incredible Numbers by : Ian Stewart

Download or read book Professor Stewart's Incredible Numbers written by Ian Stewart and published by Basic Books. This book was released on 2015-04-07 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned mathematician Ian Stewart uses remarkable (and some unremarkable) numbers to introduce readers to the beauty of mathematics. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.

Number Sense Routines

Author : Jessica Shumway
Publisher : Taylor & Francis
ISBN 13 : 1003839789
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Number Sense Routines by : Jessica Shumway

Download or read book Number Sense Routines written by Jessica Shumway and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.

The Mathematical Experience, Study Edition

Author : Philip Davis
Publisher : Springer Science & Business Media
ISBN 13 : 0817682945
Total Pages : 522 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Mathematical Experience, Study Edition by : Philip Davis

Download or read book The Mathematical Experience, Study Edition written by Philip Davis and published by Springer Science & Business Media. This book was released on 2011-10-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.

The Common Sense of Teaching Mathematics

Author : Caleb Gattegno
Publisher :
ISBN 13 : 9780878250240
Total Pages : 129 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Common Sense of Teaching Mathematics by : Caleb Gattegno

Download or read book The Common Sense of Teaching Mathematics written by Caleb Gattegno and published by . This book was released on 1974 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience."C. Gattegno

Common Sense Mathematics

Author : Ethan D. Bolker
Publisher : The Mathematical Association of America
ISBN 13 : 1939512107
Total Pages : 329 pages
Book Rating : 4.9/5 (395 download)

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Book Synopsis Common Sense Mathematics by : Ethan D. Bolker

Download or read book Common Sense Mathematics written by Ethan D. Bolker and published by The Mathematical Association of America. This book was released on 2016-05-04 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common Sense Mathematics is a text for a one semester college-level course in quantitative literacy. The text emphasizes common sense and common knowledge in approaching real problems through popular news items and finding useful mathematical tools and frames with which to address those questions. We asked ourselves what we hoped our students would remember about this course in ten year’s time. From that ten year perspective thoughts about syllabus–“what topics should we cover?"–seemed much too narrow. What matters more is our wish to change the way our students' minds work–the way they approach a problem, or, more generally, the way they approach the world. Most people “skip the numbers" in newspapers, magazines, on the web and (more importantly) even in financial information. We hope that in ten years our students will follow the news, confident in their ability to make sense of the numbers they find there and in their daily lives. Most quantitative reasoning texts are arranged by mathematical topics to be mastered. Since the mathematics is only a part of what we hope students learn, we've chosen another strategy. We look at real life stories that can be best understood with careful reading and a little mathematics.

The Common Sense of the Exact Sciences

Author : William Kingdon Clifford
Publisher : Cambridge University Press
ISBN 13 : 1108077129
Total Pages : 291 pages
Book Rating : 4.1/5 (8 download)

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Book Synopsis The Common Sense of the Exact Sciences by : William Kingdon Clifford

Download or read book The Common Sense of the Exact Sciences written by William Kingdon Clifford and published by Cambridge University Press. This book was released on 2014-09-25 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1885, this instructive work explores five fundamental areas of mathematics: number, space, quantity, position and motion.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Commonsense Reasoning

Author : Erik T. Mueller
Publisher : Elsevier
ISBN 13 : 0080476619
Total Pages : 431 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Commonsense Reasoning by : Erik T. Mueller

Download or read book Commonsense Reasoning written by Erik T. Mueller and published by Elsevier. This book was released on 2010-07-26 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: To endow computers with common sense is one of the major long-term goals of Artificial Intelligence research. One approach to this problem is to formalize commonsense reasoning using mathematical logic. Commonsense Reasoning is a detailed, high-level reference on logic-based commonsense reasoning. It uses the event calculus, a highly powerful and usable tool for commonsense reasoning, which Erik T. Mueller demonstrates as the most effective tool for the broadest range of applications. He provides an up-to-date work promoting the use of the event calculus for commonsense reasoning, and bringing into one place information scattered across many books and papers. Mueller shares the knowledge gained in using the event calculus and extends the literature with detailed event calculus solutions to problems that span many areas of the commonsense world. Covers key areas of commonsense reasoning including action, change, defaults, space, and mental states. The first full book on commonsense reasoning to use the event calculus. Contextualizes the event calculus within the framework of commonsense reasoning, introducing the event calculus as the best method overall. Focuses on how to use the event calculus formalism to perform commonsense reasoning, while existing papers and books examine the formalisms themselves. Includes fully worked out proofs and circumscriptions for every example.

Mathsemantics

Author : Edward MacNeal
Publisher : Penguin
ISBN 13 : 0140234861
Total Pages : 321 pages
Book Rating : 4.1/5 (42 download)

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Book Synopsis Mathsemantics by : Edward MacNeal

Download or read book Mathsemantics written by Edward MacNeal and published by Penguin. This book was released on 1995-03-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a whole new way of looking at math that liberates math phobes from their anxiety, enables business people to do their jobs more effectively, challenges and informs math buffs, and provides educators with the tools to teach math easily and effectively. How can it do all that? By reuniting numbers and meaning, two subjects that should never have been separated in the first place. Entertaining, anecdotal, and immensely practical, this extraordinary book offers a revolutionary way of looking at math as a language, something that we've all heard before but which has never made sense until now. Mathsemantics is that rare book that will change the way you look at the world—and provide the most sensible and inspiring answer yet to the problem of American innumeracy. "Eye opening . . . a good antidote to innumeracy."—Library Journal

Meaning in Mathematics Education

Author : Jeremy Kilpatrick
Publisher : Springer Science & Business Media
ISBN 13 : 0387240403
Total Pages : 260 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Meaning in Mathematics Education by : Jeremy Kilpatrick

Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.