Click Here to Download: https://ouo.io/G70uvm The Number Systems and Operations of Arithmetic An Explanation of the Fundamental Principles of Mathematics Which Underlie the Understanding and Use of Arithmetic, Designed for In-Service Training of Elementary School Teachers Candidates Service Training of Elementary School Teacher Candidates By: Orval M. Klose Publisher: Pergamon Print ISBN: 9780080114064, 0080114067 eText ISBN: 9781483137094, 1483137090 Copyright year: 1966 Format: PDF Available from $ 72.95 USD SKU 9781483137094 The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar formal algorithms of arithmetic stem from these structural principles. The book is organized into two parts. Part I on number systems covers the origin of numerical thinking; natural operations with the natural numbers; natural laws for the natural operations; the inverse operations and convergence and the number systems generated by these operations; and classification of the number systems as abstract systems. Part II on computational algorithms discusses computations with natural numbers, rational numbers, real numbers, and complex numbers. The answers to all the exercises are also provided in the main body of the text and it is hoped that the student will form the habit of looking there for them.
