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Integers, Fractions and Arithmetic: A Guide for Teachers

Judith D. Sally Northwestern University, Evanston, IL
Paul J. Sally, Jr. University of Chicago, Chicago, IL
A co-publication of the AMS and Mathematical Sciences Research Institute
Available Formats:
Softcover ISBN: 978-0-8218-8798-1
Product Code: MCL/10
List Price: $39.00 MAA Member Price:$35.10
AMS Member Price: $31.20 Electronic ISBN: 978-0-8218-9482-8 Product Code: MCL/10.E List Price:$39.00
MAA Member Price: $35.10 AMS Member Price:$31.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $58.50 MAA Member Price:$52.65
AMS Member Price: $46.80 Click above image for expanded view Integers, Fractions and Arithmetic: A Guide for Teachers Judith D. Sally Northwestern University, Evanston, IL Paul J. Sally, Jr. University of Chicago, Chicago, IL A co-publication of the AMS and Mathematical Sciences Research Institute Available Formats:  Softcover ISBN: 978-0-8218-8798-1 Product Code: MCL/10  List Price:$39.00 MAA Member Price: $35.10 AMS Member Price:$31.20
 Electronic ISBN: 978-0-8218-9482-8 Product Code: MCL/10.E
 List Price: $39.00 MAA Member Price:$35.10 AMS Member Price: $31.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$58.50 MAA Member Price: $52.65 AMS Member Price:$46.80
• Book Details

MSRI Mathematical Circles Library
Volume: 102012; 208 pp
MSC: Primary 11; 97;

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.

The book is intended for the professional development of teachers. It is appropriate for teacher education programs as well as for enrichment programs such as Mathematical Circles for Teachers. There are numerous activities in each seminar that teachers can bring into their classrooms.

In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Undergraduate students, graduate students, research mathematicians, and teachers interested in K–8 arithmetic.

• Chapters
• Title page
• Contents
• Introduction
• Number systems
• Divisibility and order in the integers
• GCD’s and the division algorithm
• Prime numbers and factorization into primes
• Applications of prime power factorization
• Modular arithmetic and divisibility tests
• More modular arithmetic
• The arithmetic of fractions
• Properties of multiplication of fractions
• The decimal expansion of a fraction
• Order and the number line
• The mysterious long division algorithm
• The pigeonhole principle
• Index

• Requests

Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Volume: 102012; 208 pp
MSC: Primary 11; 97;

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.

The book is intended for the professional development of teachers. It is appropriate for teacher education programs as well as for enrichment programs such as Mathematical Circles for Teachers. There are numerous activities in each seminar that teachers can bring into their classrooms.

In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Undergraduate students, graduate students, research mathematicians, and teachers interested in K–8 arithmetic.

• Chapters
• Title page
• Contents
• Introduction
• Number systems
• Divisibility and order in the integers
• GCD’s and the division algorithm
• Prime numbers and factorization into primes
• Applications of prime power factorization
• Modular arithmetic and divisibility tests
• More modular arithmetic
• The arithmetic of fractions
• Properties of multiplication of fractions