Softcover ISBN:  9780821887981 
Product Code:  MCL/10 
List Price:  $39.00 
MAA Member Price:  $35.10 
AMS Member Price:  $31.20 
Electronic ISBN:  9780821894828 
Product Code:  MCL/10.E 
List Price:  $39.00 
MAA Member Price:  $35.10 
AMS Member Price:  $31.20 

Book DetailsMSRI Mathematical Circles LibraryVolume: 10; 2012; 208 ppMSC: 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.ReadershipUndergraduate students, graduate students, research mathematicians, and teachers interested in K–8 arithmetic.

Table of Contents

Chapters

Title page

Contents

To the reader

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

Addition of fractions

The decimal expansion of a fraction

Order and the number line

The mysterious long division algorithm

The pigeonhole principle

Index


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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

To the reader

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

Addition of fractions

The decimal expansion of a fraction

Order and the number line

The mysterious long division algorithm

The pigeonhole principle

Index