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Mathematics in the junior high school.'x-The first book in this series is a course in arithmetical calculation. It contains a wealth of business applications and the simple elements of bookkeeping, but omits much of the customary business arithmetic that the pupil cannot understand and for which he sees no real need. The graph and some work in formulas are introduced. Mensurational arithmetic is the basis of the second course. The usual formulas are developed. There is much construction work with ruler and compass. Relations between angles in polygons and in parallel lines are worked out. Such material is not only concrete but interesting and valuable to the pupil. Although it is for the most part a geometry, the book contains some considerable practice work in arithmetic. Algebraic processes are also introduced with the study of formulas. The third book is largely algebra, with the geometry used to illustrate the processes, and some trigonometry in applications. The last chapter takes up some demonstrative geometry with complete proofs of several theorems to prepare the way for future logical geometry.2

Mathematics in the Junior High SchoolModern Junior Mathematics. Marie Gugle