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Integers, fractions, and arithmetic : a guide for teachers

Author: Judith D Sally; Paul J Sally, Jr.
Publisher: Berkeley, California : Mathematical Sciences Research Institute ; Providence, Rhode Island : American Mathematical Society, [2012]
Series: MSRI mathematical circles library, 10.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
A co-publication of the AMS and the Mathematical Sciences Research Institute. This book, which consists of twelve interactive seminars, is a comprehensive and careful study of the fundamental topics of K--8 arithmetic. The guide aims to help teachers understand the mathematical foundations of number theory in order to strengthen and enrich their mathematics classes. Five seminars are dedicated to fractions and  Read more...
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Document Type: Book
All Authors / Contributors: Judith D Sally; Paul J Sally, Jr.
ISBN: 9780821887981 082188798X
OCLC Number: 816498955
Notes: Includes index.
Description: xiv, 208 pages ; 26 cm.
Contents: Seminar 1. Number systems --
Seminar 2. Divisibility and order in the integers --
Seminar 3. GCDs and the division algorithm --
Seminar 4. Prime numbers and factorization into primes --
Seminar 5. Applications of prime power factorization --
Seminar 6. Modular arithmetic and divisibility tests --
Seminar 7. More modular arithmetic --
Seminar 8. The arithmetic of fractions --
Seminar 9. Properties of multiplication of fractions --
Seminar 10. Addition of fractions --
Seminar 11. The decimal expansion of a fraction --
Seminar 12. Order and the number line --
Appendix A: The mysterious long division algorithm --
Appendix B: The pigeonhole principle.
Series Title: MSRI mathematical circles library, 10.
Responsibility: Judith D. Sally, Paul J. Sally, Jr.

Abstract:

A comprehensive and careful study of the fundamental topics of K-8 arithmetic consisting of twelve interactive seminars. The guide aims to help teachers understand the mathematical foundations of  Read more...

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