Preliminary Mathematics treats comprehensively the topics in a math-

ematics program that prepares students for the study of formal courses in

elementary algebra and plane geometry. The book treats the metric sys-

tem broadly and makes frequent use of metric measures in problem

settings. As the class textbook or as a supplement to the class textbook or

as a text for remedial work, the book provides abundant material to aid

students in their mastery of the subject matter of the program.

The book also presents as supplementary topics: sets, operations with

signed numbers, numeration systems with bases other than ten, and

scientific notation. These topics are introduced in such a way as to pro-

vide enrichment for those who wish to use them yet not to interfere with

the effective use of the book by those who do not wish to use them.

An unusual feature of the book is its method of organization. Each

chapter contains a series of learning units which, with proper applica-

tion, students can master by themselves. Units are introduced with

problems that are meaningful to students. Explanations and teaching

problems lead to the statement of important general principles and pro-

cedures, which are stated clearly and concisely. Model problems, whose

solutions are accompanied by detailed explanations, teach students how

to apply the principles and follow the procedures. Students can com-

plete their mastery of the unit by doing a series of well-graded exercises

covering almost every type of difficulty and testing their competence

both in manipulative skills and in the solution of real problems.

Besides organization, other features help students to master the prin-

ciples and procedures of each unit. The basic concepts of fhe unit are

carefully developed with the use of simple language. Pictures are used

to help represent mathematical concepts. New words are clearly defined.

The author hopes that his full treatment of the topics of algebra and

geometry will supply the teacher with materials and teaching aids that

are helpful in developing concepts and skills in these areas of mathe-

matics. Some optional topics are included for the more rapid learners.