Integers, fractions and arithmetic : a guide for teachers
著者
書誌事項
Integers, fractions and arithmetic : a guide for teachers
（MSRI mathematical circles library, 10）
Mathematical Sciences Research Institute , American Mathematical Society, c2012
- : [pbk.]
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注記
Includes index
内容説明・目次
内容説明
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.
目次
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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