Mathematics Common Sense

Author : Ethan D. Bolker,Maura B. Mast
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 45,5 Mb
Release : 2021-01-21
Category : Education
ISBN : 9781470461348

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Common Sense Mathematics: Second Edition by Ethan D. Bolker,Maura B. Mast Pdf

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.

Author : Philip J. Davis
Publisher : CRC Press
Page : 292 pages
File Size : 44,6 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9781439864326

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Mathematics & Common Sense by Philip J. Davis Pdf

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.

Author : Ethan Bolker
Publisher : Unknown
Page : 640 pages
File Size : 54,5 Mb
Release : 1948-02-05
Category : Electronic
ISBN : 1133610536

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Common Sense Mathematics by Ethan Bolker Pdf

Author : Marja Van den Heuvel-Panhuizen
Publisher : Springer Nature
Page : 348 pages
File Size : 41,7 Mb
Release : 2020-01-06
Category : Education
ISBN : 9783030338244

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National Reflections on the Netherlands Didactics of Mathematics by Marja Van den Heuvel-Panhuizen Pdf

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Author : Ethan D. Bolker,Maura B. Mast
Publisher : The Mathematical Association of America
Page : 329 pages
File Size : 43,6 Mb
Release : 2016-05-04
Category : Mathematics
ISBN : 9781939512109

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Common Sense Mathematics by Ethan D. Bolker,Maura B. Mast Pdf

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.

Author : Caleb Gattegno
Publisher : Educational Solutions World
Page : 208 pages
File Size : 54,6 Mb
Release : 2010-07-20
Category : Education
ISBN : 9780878252206

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The Common Sense of Teaching Mathematics by Caleb Gattegno Pdf

"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

Author : Edward Frenkel
Publisher : Basic Books
Page : 314 pages
File Size : 48,7 Mb
Release : 2013-10-01
Category : Mathematics
ISBN : 9780465069958

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Love and Math by Edward Frenkel Pdf

An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Author : Caleb Gattegno
Publisher : Unknown
Page : 129 pages
File Size : 48,9 Mb
Release : 1974
Category : Mathematics
ISBN : 0878250247

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The Common Sense of Teaching Mathematics by Caleb Gattegno Pdf

"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

Author : Katherine Johnson
Publisher : Atheneum Books for Young Readers
Page : 272 pages
File Size : 48,5 Mb
Release : 2020-05-05
Category : Juvenile Nonfiction
ISBN : 9781534440845

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Reaching for the Moon by Katherine Johnson Pdf

“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.

Author : Philip J. Davis
Publisher : A K PETERS
Page : 250 pages
File Size : 54,8 Mb
Release : 2019-12-20
Category : Electronic
ISBN : 0367389797

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Mathematics & Common Sense by Philip J. Davis Pdf

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."

Author : Philip Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 41,9 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780817682941

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The Mathematical Experience, Study Edition by Philip Davis,Reuben Hersh,Elena Anne Marchisotto Pdf

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 (elena.marchisotto@csun.edu) upon request.

Author : D. Coben,J. O'Donoghue,Gail E. FitzSimons
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 45,8 Mb
Release : 2000-07-31
Category : Education
ISBN : 9780792364153

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Perspectives on Adults Learning Mathematics by D. Coben,J. O'Donoghue,Gail E. FitzSimons Pdf

At a time when the importance of lifelong education is becoming recognised around the world, this is the first book to explore an important but hitherto neglected area: adult mathematics education. This book is about adults learning mathematics wherever and in whatever circumstances they do so. It brings together researchers in the field and aims to lay the foundations for study and further research and practice in this fast-developing area. It aims to situate research and practice in adults learning mathematics within the wider field of lifelong learning and lifelong education and to be accessible both to the specialist and to the general adult reader. The book features a comprehensive review of the field which sets the scene for sections on: Perspectives on Research on Adults Learning Mathematics; Adults, Mathematics, Culture, and Society; Adults, Mathematics, and Work; and Perspectives in Teaching Adults Mathematics. Topics covered include: mathematics and common sense; statistical literacy and numeracy; new theories on learning mathematics; mathematical competences for the workplace; ethnomathematics; and the training of tutors.

Author : Ernest Davis
Publisher : Morgan Kaufmann
Page : 550 pages
File Size : 48,6 Mb
Release : 2014-07-10
Category : Computers
ISBN : 9781483221137

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Representations of Commonsense Knowledge by Ernest Davis Pdf

Representations of Commonsense Knowledge provides a rich language for expressing commonsense knowledge and inference techniques for carrying out commonsense knowledge. This book provides a survey of the research on commonsense knowledge. Organized into 10 chapters, this book begins with an overview of the basic ideas on artificial intelligence commonsense reasoning. This text then examines the structure of logic, which is roughly analogous to that of a programming language. Other chapters describe how rules of universal validity can be applied to facts known with absolute certainty to deduce other facts known with absolute certainty. This book discusses as well some prominent issues in plausible inference. The final chapter deals with commonsense knowledge about the interrelations and interactions among agents and discusses some issues in human and social interactions that have been studied in the artificial intelligence literature. This book is a valuable resource for students on a graduate course on knowledge representation.

Author : Jay Wengrow
Publisher : Pragmatic Bookshelf
Page : 714 pages
File Size : 44,7 Mb
Release : 2020-08-10
Category : Computers
ISBN : 9781680508055

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A Common-Sense Guide to Data Structures and Algorithms, Second Edition by Jay Wengrow Pdf

Algorithms and data structures are much more than abstract concepts. Mastering them enables you to write code that runs faster and more efficiently, which is particularly important for today’s web and mobile apps. Take a practical approach to data structures and algorithms, with techniques and real-world scenarios that you can use in your daily production code, with examples in JavaScript, Python, and Ruby. This new and revised second edition features new chapters on recursion, dynamic programming, and using Big O in your daily work. Use Big O notation to measure and articulate the efficiency of your code, and modify your algorithm to make it faster. Find out how your choice of arrays, linked lists, and hash tables can dramatically affect the code you write. Use recursion to solve tricky problems and create algorithms that run exponentially faster than the alternatives. Dig into advanced data structures such as binary trees and graphs to help scale specialized applications such as social networks and mapping software. You’ll even encounter a single keyword that can give your code a turbo boost. Practice your new skills with exercises in every chapter, along with detailed solutions. Use these techniques today to make your code faster and more scalable.

Author : Philip J. Davis
Publisher : A K Peters, Ltd.
Page : 300 pages
File Size : 47,7 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 1568812701

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Mathematics & Common Sense by Philip J. Davis Pdf

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."