¶ The first lessons have been made short and simple, in order to allow for the initial difficulties. The exercises are composed of sentences connected in sense so far as this is possible without detriment to the application of the principles and repetition of words. Each lesson includes generally four exercises: a review, a portion of French text, a set of questions based on the text and usually followed by a grammar drill, and an English exercise based entirely on the text and on the rules developed in the lesson. Reading lessons are introduced at intervals and may serve also as exercises in pronunciation, dictation, conversation, or review of rules.
AMERICAN BOOK COMPANY
MILNE’S STANDARD
ALGEBRA
By WILLIAM J. MILNE, Ph.D., LL.D., President of
the New York State Normal College, Albany, N. Y.
THE Standard Algebra conforms to the most recent courses of study. The inductive method of presentation is followed, but declarative statements and observations are used, instead of questions. Added to this kind of unfolding and development of the subject are illustrative problems and explanations to bring out specific points, the whole being driven home by varied and abundant practice.
¶ The problems are fresh in character, and besides the traditional problems include a large number drawn from physics, geometry, and commercial life. They are classified according to the nature of the equations involved, not according to subject matter. The statement of necessary definitions and of principles is clear and concise, but the proofs of principles, except some important ones, are left for the maturer years of the pupil.
¶ Accuracy and self-reliance are encouraged by the use of numerous checks and tests, and by the requirement that results be verified. The subject of graphs is treated after simple equations, introduced by some of their simple uses in representing statistics, and in picturing two related quantities in the process of change, and again after quadratics. Later they are utilized in discussing the values of quadratic expressions. Factoring receives particular attention. Not only are the usual cases given fully and completely with plenty of practice, but the factor theorem is taught.
¶ The helpful and frequent reviews are made up of pointed oral questions, abstract exercises, problems, and recent college entrance examination questions. The book is unusually handy in size and convenient for the pocket. The page size is small.
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