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Author: Philip Hugly
Publisher: Rodopi
ISBN: 9789042020474
Category : Mathematics
Languages : en
Pages : 412
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Book Description
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors' account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics.
Author: Philip Hugly
Publisher: Rodopi
ISBN: 9789042020474
Category : Mathematics
Languages : en
Pages : 412
Get Book Here
Book Description
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors' account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics.
Author: Paul Lockhart
Publisher: Belknap Press
ISBN: 067423751X
Category : Mathematics
Languages : en
Pages : 232
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Book Description
“Inspiring and informative...deserves to be widely read.” —Wall Street Journal “This fun book offers a philosophical take on number systems and revels in the beauty of math.” —Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers—a practical if mundane branch of knowledge best suited for filling out tax forms—but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. “A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting.” —Jonathon Keats, New Scientist “What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind’s most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story...A wonderful book.” —Keith Devlin, author of Finding Fibonacci
Author: Horace Mann
Publisher:
ISBN:
Category :
Languages : en
Pages : 268
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Book Description
Author: Katherine A. Loop
Publisher:
ISBN: 9780977361120
Category : Home schooling
Languages : en
Pages : 205
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Book Description
Do you want to present math from a biblical perspective, but need ideas and a framework from which to start? Are you looking for fresh inspiration for your math class? Building on the principles presented in Beyond Numbers, this manual will help you modify and fill in the gaps in your curriculum. In Revealing Arithmetic, you'll get ideas and inspiration to help you: Reinforce a biblical worldview and worship the Lord in math; Teach your children to really understand concepts and think mathematically as opposed to merely memorizing mechanics; Transform everyday activities and objects into math lessons, teaching your child to use math as a real-life tool; Make and use an abacus in your teaching, as well as explore other historical methods and symbols that help children really view math as a tool and better understand our modern method. This book is usable with a variety of grades and learning styles. Concepts covered range from counting to exponents (view the Table of Contents), making it appropriate for supplementing a pre-K through about grade 6 curriculum. Since math builds on itself, students in even older grades can also use the book as a review to help them get a firm foundation for upper-level concepts. Because of the format and structure, you can easily take or modify the information for your particular child's ability and interests. Includes examples of modifying a typical curriculum presentation. Each chapter (with the exception of counting) walks through modifying a typical curriculum presentation, illustrating ways you could modify your textbook to convey the principles and goals discussed. - Publisher.
Author: Jane Yolen
Publisher: Penguin
ISBN: 1101664304
Category : Juvenile Fiction
Languages : en
Pages : 178
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Book Description
"A triumphantly moving book." —Kirkus Reviews, starred review Hannah dreads going to her family's Passover Seder—she's tired of hearing her relatives talk about the past. But when she opens the front door to symbolically welcome the prophet Elijah, she's transported to a Polish village in the year 1942. Why is she there, and who is this "Chaya" that everyone seems to think she is? Just as she begins to unravel the mystery, Nazi soldiers come to take everyone in the village away. And only Hannah knows the unspeakable horrors that await. A critically acclaimed novel from multi-award-winning author Jane Yolen. "[Yolen] adds much to understanding the effects of the Holocaust, which will reverberate throughout history, today and tomorrow." —SLJ, starred review "Readers will come away with a sense of tragic history that both disturbs and compels." —Booklist Winner of the National Jewish Book Award An American Bookseller "Pick of the Lists"
Author: Katherine Hannon
Publisher: New Leaf Publishing Group
ISBN: 1614587760
Category : Religion
Languages : en
Pages : 233
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Book Description
For years, Christian math books have looked basically like secular textbooks, with the addition of a Bible verse here or there. Here, at last, is a book to help you transform your math class and show your child God’s handiwork in math! Revealing Arithmetic will help you: Teach math from a biblical worldview. Worship the Lord in math. Help your child really understand concepts. Train your child to think mathematically. Transform everyday activities and objects into math lessons. Teach your child to use math as a real-life tool. Explore historical methods and symbols. This book is designed for homeschool parents needing a simple math guide to use alongside their curriculum and help them teach arithmetic to elementary students, older students needing a review of math basics before moving on to advanced mathematics, or Christian school or co-op teachers (or future teachers) wanting ideas on how to modify the curriculum to better reveal the truth of a Creator God.
Author: Ruth Beechick
Publisher: Arrow Press
ISBN: 9780940319011
Category : Education
Languages : en
Pages : 36
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Book Description
The author gives many helpful hints for teachers so that they may have an easy start in arithmetic for their students in the K-3 group. These hints are for both home schooling teachers and classroom teachers.
Author: Robert William Fogel
Publisher: University of Chicago Press
ISBN: 0226256618
Category : Business & Economics
Languages : en
Pages : 163
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Book Description
We take for granted today that the assessments, measurements, and forecasts of economists are crucial to the decision-making of governments and businesses alike. But less than a century ago that wasn’t the case—economists simply didn’t have the necessary information or statistical tools to understand the ever more complicated modern economy. With Political Arithmetic, Nobel Prize–winning economist Robert Fogel and his collaborators tell the story of economist Simon Kuznets, the founding of the National Bureau of Economic Research, and the creation of the concept of GNP, which for the first time enabled us to measure the performance of entire economies. The book weaves together the many strands of political and economic thought and historical pressures that together created the demand for more detailed economic thinking—Progressive-era hopes for activist government, the production demands of World War I, Herbert Hoover’s interest in business cycles as President Harding’s commerce secretary, and the catastrophic economic failures of the Great Depression—and shows how, through trial and error, measurement and analysis, economists such as Kuznets rose to the occasion and in the process built a discipline whose knowledge could be put to practical use in everyday decision-making. The product of a lifetime of studying the workings of economies and skillfully employing the tools of economics, Political Arithmetic is simultaneously a history of a key period of economic thought and a testament to the power of applied ideas.
Author: Emerson Elbridge White
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 174
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Book Description
Author: Abraham Paul Sperling
Publisher: Made Simple Books
ISBN: 0385239386
Category : Mathematics
Languages : en
Pages : 178
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Book Description
For almost four decades, Made Simple books have set the standard for continuing education and home study. In answer to the changing needsof today's marketplace, the Made Simple series for the '90s presents a thoroughly up-to-the-minute portfolio of skills, information, and experience, with revised and updated editions of bestselling titles, plus a whole range of new subjects from personal finance to office management to desktop publishing. B & W illustrations throughout
