Arithmetic

Arithmetic PDF Author: Paul Lockhart
Publisher: Harvard University Press
ISBN: 067423751X
Category : Mathematics
Languages : en
Pages : 232

Book Description
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.

Arithmetic and Ontology

Arithmetic and Ontology PDF Author: Philip Hugly
Publisher: Rodopi
ISBN: 9789042020474
Category : Mathematics
Languages : en
Pages : 412

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.

Arithmetic for Teachers

Arithmetic for Teachers PDF Author: Gary R. Jensen
Publisher: American Mathematical Soc.
ISBN: 9780821871942
Category : Education
Languages : en
Pages : 402

Book Description
Excellent teaching of mathematics at the elementary school level requires that the teacher be an expert in school mathematics. This textbook for prospective teachers presents topics from the K-6 mathematics curriculum, but at a greater depth than is usually found in the classroom. The added knowledge that comes from this approach gives the teacher essential insight into how the topics interrelate and where difficulties might lie. With this deeper mathematical preparation, the teacher is better able to explain concepts, demonstrate computational procedures and lead students through problem-solving techniques. The primary focus is on the foundations of arithmetic, along with a selection of topics from geometry and a wide range of applications. The number line is used throughout to visualize concepts and to tie them to the solution of problems. The book emphasizes how to explain the concepts and how to explain problem solutions. This is a textbook for a college course in mathematics for prospective elementary school teachers. It will also be a resource for the instructors of such courses.

The Devil's Arithmetic

The Devil's Arithmetic PDF Author: Jane Yolen
Publisher: Penguin
ISBN: 1101664304
Category : Juvenile Fiction
Languages : en
Pages : 178

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"

Digital Arithmetic

Digital Arithmetic PDF Author: Milos D. Ercegovac
Publisher: Elsevier
ISBN: 1558607986
Category : Computers
Languages : en
Pages : 736

Book Description
The authoritative reference on the theory and design practice of computer arithmetic.

Arithmetic for Billy Goats

Arithmetic for Billy Goats PDF Author: Donald Barr
Publisher: Houghton Mifflin Harcourt P
ISBN: 9780152038670
Category : Arithmetic
Languages : en
Pages : 108

Book Description

How to Calculate Quickly

How to Calculate Quickly PDF Author: Henry Sticker
Publisher: Courier Corporation
ISBN: 048620295X
Category : Mathematics
Languages : en
Pages : 211

Book Description
A number sense approach to the four basic operations of arithmetic together with fractions and decimals
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