Mathematics Common Sense

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Common Sense Mathematics Second Edition
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Author : Ethan D. Bolker
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-01-21
Common Sense Mathematics Second Edition written by Ethan D. Bolker and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-21 with Education categories.
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.
The Common Sense Of Teaching Mathematics
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Author : Caleb Gattegno
language : en
Publisher: Educational Solutions World
Release Date : 2010-07-20
The Common Sense Of Teaching Mathematics written by Caleb Gattegno and has been published by Educational Solutions World this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-20 with Education categories.
"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
Mathematics Common Sense
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Author : Philip J. Davis
language : en
Publisher: CRC Press
Release Date : 2006-11-30
Mathematics Common Sense written by Philip J. Davis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.
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.
Constitutional Calculus
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Author : Jeff Suzuki
language : en
Publisher: JHU Press
Release Date : 2015-03
Constitutional Calculus written by Jeff Suzuki and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03 with Law categories.
How math trumps tradition in promoting justice, fairness, and a more stable democracy. How should we count the population of the United States? What would happen if we replaced the electoral college with a direct popular vote? What are the consequences of allowing unlimited partisan gerrymandering of congressional districts? Can six-person juries yield verdicts consistent with the needs of justice? Is it racist to stop and frisk minorities at a higher rate than non-minorities? These and other questions have long been the subject of legal and political debate and are routinely decided by lawyers, politicians, judges, and voters, mostly through an appeal to common sense and tradition. But mathematician Jeff Suzuki asserts that common sense is not so common, and traditions developed long ago in what was a mostly rural, mostly agricultural, mostly isolated nation of three million might not apply to a mostly urban, mostly industrial, mostly global nation of three hundred million. In Constitutional Calculus, Suzuki guides us through the U.S. Constitution and American history to show how mathematics reveals our flaws, finds the answers we need, and moves us closer to our ideals. From the first presidential veto to the debate over mandatory drug testing, the National Security Agency's surveillance program, and the fate of death row inmates, Suzuki draws us into real-world debates and then reveals how math offers a superior compass for decision-making. Relying on iconic cases, including the convictions of the Scottsboro boys, League of United Latin American Citizens v. Perry, and Floyd v. City of New York, Suzuki shows that more math can lead to better justice, greater fairness, and a more stable democracy. Whether you are fascinated by history, math, social justice, or government, your interest will be piqued and satisfied by the convincing case Suzuki makes.
Meaning In Mathematics Education
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Author : Jeremy Kilpatrick
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Meaning In Mathematics Education written by Jeremy Kilpatrick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Education categories.
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.
Professor Stewart S Incredible Numbers
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Author : Ian Stewart
language : en
Publisher: Profile Books
Release Date : 2015-03-19
Professor Stewart S Incredible Numbers written by Ian Stewart and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-19 with Mathematics categories.
Ian Stewart explores the astonishing properties of numbers from 1 to 10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's Cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.
Statistics With Common Sense
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Author : David Kault
language : en
Publisher: Abc-clio
Release Date : 2003
Statistics With Common Sense written by David Kault and has been published by Abc-clio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Statistics categories.
Reasoning In Physics
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Author : Laurence Viennot
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-31
Reasoning In Physics written by Laurence Viennot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Science categories.
For a meaningful understanding of physics, it is necessary to realise that this corpus of knowledge operates in a register different from natural thought. This book aims at situating the main trends of common reasoning in physics with respect to some essential aspects of accepted theory. It analyses a great many research results based on studies of pupils and students at various academic levels, involving a range of physical situations. It shows the impressive generality of the trends of common thought, as well as their resistance to teaching. The book's main focus is to underline to what extent natural thought is organised. As a result of this mapping out of trends of reasoning, some suggestions for teaching are presented; these have already influenced recent curricula in France. This book is intended for teachers and teacher trainers principally, but students can also benefit from it to improve their understanding of physics and of their own ways of reasoning.
The Common Sense Of Science
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Author : Jacob Bronowski
language : en
Publisher: Faber & Faber
Release Date : 2011-12-15
The Common Sense Of Science written by Jacob Bronowski and has been published by Faber & Faber this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-15 with Science categories.
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.
Relativity And Common Sense
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Author : Hermann Bondi
language : en
Publisher: Courier Corporation
Release Date : 1964-01-01
Relativity And Common Sense written by Hermann Bondi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964-01-01 with Science categories.
This radically reoriented and popular presentation of Einstein's Special Theory of Relativity derives its concepts from Newtonian ideas rather than by opposing them. It demonstrates that time is relative rather than absolute, that high speeds affect the nature of time, and that acceleration affects speed, time, and mass. Very little mathematics is required, and 60 illustrations augment the text.