Arithmetic

Arithmetic PDF

Author: Paul Lockhart

Publisher: Harvard University Press

Published: 2019-07-15

Total Pages: 232

ISBN-13: 067423751X

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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 for Teachers

Arithmetic for Teachers PDF

Author: Gary R. Jensen

Publisher: American Mathematical Soc.

Published: 2003-11-25

Total Pages: 402

ISBN-13: 9780821871942

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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.

Set Theory: The Structure of Arithmetic

Set Theory: The Structure of Arithmetic PDF

Author: Norman T. Hamilton

Publisher: Courier Dover Publications

Published: 2018-05-16

Total Pages: 288

ISBN-13: 0486830470

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This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

Revealing Arithmetic

Revealing Arithmetic PDF

Author: Katherine A. Loop

Publisher: Ingram

Published: 2010-01-01

Total Pages: 217

ISBN-13: 9780977361106

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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.

Arithmetic Made Simple

Arithmetic Made Simple PDF

Author: Abraham Paul Sperling

Publisher: Made Simple Books

Published: 1988

Total Pages: 178

ISBN-13: 0385239386

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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

Revealing Arithmetic

Revealing Arithmetic PDF

Author: Katherine Hannon

Publisher: New Leaf Publishing Group

Published: 2021-04-12

Total Pages: 229

ISBN-13: 1614587760

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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.

A Course in Arithmetic

A Course in Arithmetic PDF

Author: J-P. Serre

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 126

ISBN-13: 1468498843

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This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.

The Devil's Arithmetic (Puffin Modern Classics)

The Devil's Arithmetic (Puffin Modern Classics) PDF

Author: Jane Yolen

Publisher: Penguin

Published: 2004-04-12

Total Pages: 210

ISBN-13: 0142401099

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30th Anniversary edition with a new introduction from the author Hannah is tired of holiday gatherings−all her family ever talks about is the past. In fact, it seems to her that's what they do every Jewish holiday. But this year's Passover Seder will be different−Hannah will be mysteriously transported into the past . . . and only she knows the unspeakable horrors that await. Winner of the National Jewish Book Award "A triumphantly moving book." --Kirkus Reviews, starred review

Mental Arithmetic

Mental Arithmetic PDF

Author: T.R. Goddard

Publisher: Mental Arithmetic

Published: 2000-04

Total Pages: 48

ISBN-13: 9780721708089

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The format of Mental Arithmetic differs from that of traditional mental arithmetic materials in that pupils read the questions themselves, use rough paper for workings out, and write down their answers. It provides intensive practice in all areas of the maths curriculum.

Capitalism and Arithmetic

Capitalism and Arithmetic PDF

Author: Frank J. Swetz

Publisher: Open Court Publishing

Published: 1987

Total Pages: 372

ISBN-13: 9780812690149

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"The Treviso Arithmetic, or Arte dell'Abbaco, is an anonymous textbook in commercial arithmetic written in vernacular Venetian and published in Treviso, Italy in 1478. The Treviso Arithmetic is the earliest known printed mathematics book in the West, and one of the first printed European textbooks dealing with a science. The Treviso Arithmetic is a practical book intended for self study and for use in Venetian trade. It is written in vernacular Venetian and communicated knowledge to a large population. It helped to end the monopoly on mathematical knowledge and gave important information to the middle class. It was not written for a large audience, but was intended to teach mathematics of everyday currency. The Treviso became one of the first mathematics books written for the expansion of human knowledge. It provided an opportunity for the common person, rather than only a privileged few, to learn the art of computation. The Treviso Arithmetic provided an early example of the Hindu-Arabic numeral system computational algorithms."--Wikipedia.