Common Core Arithmetic for Teachers: The Essential K-8 Content - Softcover

Gaskill Ph.D., Herbert S

Softcover

ISBN 10: 1502821680 ISBN 13: 9781502821683

Publisher: CreateSpace Independent Publishing Platform, 2014

Synopsis

The CCSS-M demand a higher standard for students at all levels, most particularly primary students. Research shows teachers will need to upgrade their skills to succeed with the new standards. This book supports all teachers at the primary and middle school levels who want a deeper knowledge of arithmetic in all its aspects. How the CCSS-M implements what is known about the importance of curriculum design is explained so that teachers will have a better sense of what was wrong with previous curricula and what is intended by the new standards. The book develops the integers from counting and the real numbers from geometry and shows how these two approaches are compatible. The Arabic system of notation and how it supports the standard computations of arithmetic is explained. The explanations reflect the historical development of mathematics by providing additional explanatory material as each additional level of abstraction is applied. This concludes with decimal computations. All the important rules of arithmetic necessary for success at algebra are presented. It is shown how these rules are sourced in the Commutative, Associative and Distributive Laws which in turn are derived from counting. Special emphasis is given to topics related to fractions.

About this title

About the Author

Herbert Gaskill, MA (Colorado), PhD (Simon Fraser) taught university level mathematics for 40 years in the US and Canada and has authored numerous research papers in pure and applied mathematics and several books. He was head of department at Memorial University and during this period became concerned about the large numbers of students graduating from high school who were innumerate and could not successfully complete post-secondary studies. Test data from the US and Canada shows the problem begins in primary school. The CCSS-M addresses this problem by articulating higher standards at the primary level. Since teachers have recognized that they would also need to upgrade their skills, the author wrote this book to support their efforts.

Edition details

• Publisher: CreateSpace Independent Publishing Platform
• Publication date: 2014
• Language: English
• ISBN 10: 1502821680
• ISBN 13: 9781502821683
• Binding: Paperback
• Edition number: 1
• Number of pages: 416