Kimber Posted March 11, 2008 Share Posted March 11, 2008 Here is a quote from the book, which was written in 1963,-- The aim of this book is to acquaint the student with the number systems of elementary algebra, to lead him to an appreciation of a deductive system through which he can gain a respect for logic and proof, and to show him how logic and proof are applicable in mathematics, particularly elementary algebra. A minimum of prior training in mathematics is assumed; indeed, the most primitive ideas of mathematics are taken as the starting point. This material has been used successfully over a period of three years in a required course for freshmen students. Table of contents chapter 1 discusses the roles of intuition, induction, and deduction in mathematics chapter 2 discuss the rational number system and its subsystems chapter 3 concerned with the meaning of proof chapter 4 shows an example of the deductive system chapter 5 and 6 review elementary algebra However, in these chapters, the ideas and terminology developed to this point are used to show the reasons for the rules of algebraic manipulation. chapter 7 deals with systems of linear equations chapter 8 discusses proof using the principle of finite induction chatper 9 treats probablity From my brief perusal of this book, it seems like a very very basic course on logic and proof as applied to algebra. And of course, some of the answers are in the back. When my oldest gets to pre-algebra next year, I'm thinking of using this for logic and a more traditional pre-algebra program at the same time. I think that this book may be able to bridge the gap between the New Math and today's math. At the very least, it will introduce us to the terminology used in proofy math programs. If this sounds crazy, please let me know.:o And in case any one else is interested in it, I purchased this at alibris for about 5.00 plus shipping. The author is Paul Sanders. Quote Link to comment Share on other sites More sharing options...
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