TY - BOOK AU - Sally Judith D. AU - Sally, Paul J. Jr. TI - Integers, fractions and arithmetic : : a guide for teachers SN - 9780821887981 AV - QA135.6 PY - 2012///] CY - USA PB - American Mathematical Society N1 - Introduction Seminar 1. Number systems Seminar 2. Divisibility and order in the integers Seminar 3. GCD’s 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 N2 - 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 decimals because of their importance in the classroom curriculum. The standard topics are covered in detail, but are arranged in an order that is slightly different from the usual one. Multiplication is treated first, and with that in hand, common denominators and equivalent fractions are more readily understood and are available for use when discussing addition ER -