Excerpt from Junior High School Mathematics, Vol. 2: Book II
A proper curriculum for junior high schools and six-year high schools demands, in the opinion of many teachers, a course in mathematics which presents concrete, intuitional geometry and the simple uses of algebra in the introductory stages. This hook is intended to meet this demand for the second year of the introductory course.
Algebra famishes the material for the first half of the book, the second half being devoted to those topics of business arithmetic which are appropriate to the students maturity. The work in Book I has already shown the use of the formula in algebra and has furnished a large amount of material to which the formula can now properly be still further related. It is therefore natural to place algebra in the first half year and to make free use of it in the arithmetic that follows, unless the courses are carried along parallel to each other.
The work in algebra is such as every boy, and every girl as well, should become familiar with at this time. It represents that which each will meet in ordinary reading, and although it is not burdened with the technical phraseology of the shop it is utilitarian in the best sense. The formula is needed in reading books and articles of various kinds, the graph is used in many lines of business and study, the equation is helpful in manipulating the formula, and the negative number is so commonly used as to be part of the necessary equipment of every reader of current literature as well as of scientific books. These are, therefore, the features upon which the greatest emphasis is placed in the work of the first half year.
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