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Integers Fractions And Arithmetic

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Integers Fractions And Arithmetic

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Author : Judith D. Sally
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Integers Fractions And Arithmetic written by Judith D. Sally and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.

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 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.--Publisher website.

Arithmetic Integers Fractions Decimals

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Author : Nicholas L. Pappas, Ph.D.
language : en
Publisher:
Release Date : 2014-06-25

Arithmetic Integers Fractions Decimals written by Nicholas L. Pappas, Ph.D. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-25 with Mathematics categories.

This is about the fundamental ideas of Arithmetic, the theory of Arithmetic and understanding why and how Arithmetic works. This is about effective use of the practical procedures for addition, multiplication, subtraction, and division. Practical procedures you use when doing Arithmetic. This is about what are now standard algorithms for integer addition, multiplication, subtraction, and division that are recognized by the world wide mathematical community. Knowing and understanding the algorithms means one has moved beyond rote knowledge of arithmetic. Integer division creates simple fractions, which can be converted to decimal fractions. We present the theory of fractions and decimals as a straightforward extension of integer arithmetic. The basic laws defining operations are presented in the last chapter in order to avoid piling on new information in earlier chapters. The laws make very clear the operations on numbers that are permissible, and why. Studying the laws reviews the entire subject. In this text know that elementary algebra is used for general explanations such as if n is a number then n+1 is the next number, and specific numbers are used in examples. And, instead of taking up many pages with arithmetic problems, the reader is asked to select pairs of numbers to add, multiply, subtract and divide. The results can be verified by using a calculator. However fraction and decimal problems, and their solutions, are included. The Standard Arithmetic Algorithms The word standard implies that we can order a document from a recognized Arithmetic Standards organization. We cannot do that, because we have not found such an organization. Nevertheless the world wide mathematical community recognizes what have evolved into standard algorithms for integer addition, multiplication, subtraction, and division. There are minor variations from country to country that are of no significance, because the underlying mathematical ideas are the same. We describe and fully explain the standard algorithms for addition, multiplication, subtraction, and division. The explanations emphasize ideas and procedures that always produce a solution. Perhaps you will agree with us when we say these algorithms are extraordinary discoveries. An algorithm is a procedure, requiring no creative skills of the user, with precise instructions, specifying a finite number of steps, so that sooner or later the procedure ends. A specific virtue of the arithmetic algorithms is that they solve an N digit problem one digit at a time. Repeat: one digit at a time. In other words one N-digit problem becomes N one-digit problems (one 5-digit problem becomes five 1-digit problems). This is important, because one-digit problems are done in one's mind. Algorithms are used, because they are methods that show how to solve every possible problem. Algorithms always produce a solution. We believe knowing how to apply the algorithms means one understands what arithmetic is about. Using the algorithms with understanding enhances your mathematical skills. Progress is subtle, and real. Know this about the relationship of practical procedures to the algorithms. The practical procedures implementing the standard algorithms use the algorithm's steps in a subtle way in order to be efficient. Consequently the procedures seem to be very different from the algorithms. They are not. Who can benefit from reading this text? Anybody who wants to be effective when doing Arithmetic. You may be a student who suspects he/she is being short changed by the system. You may be a school teacher, not trained in math, who is assigned to teach Arithmetic. You may be a parent, concerned about what is not taught in school, who is willing to make the effort to introduce these ideas to your children. You may be a person who wants to improve your math capability. Perhaps who is anyone who wants to know, and who wants to be able to do.

Math Made Nice N Easy

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Author :
language : en
Publisher: Research & Education Assoc.
Release Date : 1999

Math Made Nice N Easy written by and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

The Math Made Nice & Easy series simplifies the learning and use of math and lets you see that math is actually interesting and fun. This series is for people who have found math scary, but nevertheless need some understanding of math without having to deal with the complexities found in most math textbooks. Topics in Book 1 include Number Systems and Sets, Positive Integers, Signed Numbers, Common Fractions and Decimals.

Common School Arithmetic

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Author : John Homer French
language : en
Publisher:
Release Date : 1869

Common School Arithmetic written by John Homer French and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1869 with Arithmetic categories.

A Treatise Of Arithmetic

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Author : Thomas Weston (Master of the Academy at Grenwich.)
language : en
Publisher:
Release Date : 1729

A Treatise Of Arithmetic written by Thomas Weston (Master of the Academy at Grenwich.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1729 with Arithmetic categories.

Common School Arithmetic

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Author : John H. French
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-06-13

Common School Arithmetic written by John H. French and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-13 with Fiction categories.

Reprint of the original, first published in 1872. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.