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Author: Ethan D. Bolker
Publisher: American Mathematical Soc.
ISBN: 147046134X
Category : Education
Languages : en
Pages : 342
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Book Description
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: Ethan D. Bolker
Publisher: American Mathematical Soc.
ISBN: 147046134X
Category : Education
Languages : en
Pages : 342
Get Book Here
Book Description
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: Ethan D. Bolker
Publisher: The Mathematical Association of America
ISBN: 1939512107
Category : Mathematics
Languages : en
Pages : 329
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Book Description
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: Philip J. Davis
Publisher: CRC Press
ISBN: 1439864322
Category : Mathematics
Languages : en
Pages : 292
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Book Description
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:
ISBN: 9781133610533
Category :
Languages : en
Pages : 640
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Book Description
Author: Katherine Johnson
Publisher: Atheneum Books for Young Readers
ISBN: 1534440844
Category : Juvenile Nonfiction
Languages : en
Pages : 272
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Book Description
“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: Erik T. Mueller
Publisher: Elsevier
ISBN: 0080476619
Category : Computers
Languages : en
Pages : 431
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Book Description
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.
Author: Jacob Bronowski
Publisher: Faber & Faber
ISBN: 0571286941
Category : Science
Languages : en
Pages : 155
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Book Description
Jacob Bronowski was, with Kenneth Clarke, the greatest popularizer of serious ideas in Britain between the mid 1950s and the early 1970s. Trained as a mathematician, he was equally at home with painting and physics, and wrote a series of brilliant books that tried to break down the barriers between 'the two cultures'. He denounced 'the destructive modern prejudice that art and science are different and somehow incompatible interests'. He wrote a fine book on William Blake while running the National Coal Board's research establishment. The Common Sense of Science, first published in 1951, is a vivid attempt to explain in ordinary language how science is done and how scientists think. He isolates three creative ideas that have been central to science: the idea of order, the idea of causes and the idea of chance. For Bronowski, these were common-sense ideas that became immensely powerful and productive when applied to a vision of the world that broke with the medieval notion of a world of things ordered according to their ideal natures. Instead, Galileo, Huyghens and Newton and their contemporaries imagined 'a world of events running in a steady mechanism of before and after'. We are still living with the consequences of this search for order and causality within the facts that the world presents to us.
Author: Zvezdelina Stankova
Publisher: American Mathematical Soc.
ISBN: 0821846833
Category : Mathematics
Languages : en
Pages : 346
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Book Description
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: Caleb Gattegno
Publisher: Educational Solutions World
ISBN: 0878252207
Category : Education
Languages : en
Pages : 208
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Book Description
"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: William Kingdon Clifford
Publisher: Cambridge University Press
ISBN: 1108077129
Category : Mathematics
Languages : en
Pages : 291
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Book Description
Published in 1885, this instructive work explores five fundamental areas of mathematics: number, space, quantity, position and motion.
