Excerpt from The New Inductive Arithmetics: Supplementary Readers, for Primary Schools, First Book and Second Book
The great benefits to be derived from the study of Mental Arithmetic have, at length, become universally admitted. This appreciation of the science has given rise to an urgent demand for improved methods of teaching it. The mechanical way of arranging a set of examples to a model, which should give the pupil a solution of the whole, with little or no mental effort, is no longer approved.
The object of this book is, therefore, to furnish a graded course of lessons, fully up to the most approved standards of instruction.
It has been the constant aim of the author, in its preparation, to unfold inductively the science of numbers in such a series of progressive intellectual exercises as should awaken latent thought, encourage originality, give activity to invention, and develop the power of discriminating justly, reasoning exactly, and applying readily results to practical purposes.
Forms of analysis have been introduced throughout the work, as a guide to the learner, but in connection with such examples as shall, nevertheless, give proper scope to his reasoning powers. It will be noticed, as a valuable original feature of this work, that two forms of analysis are given in the first part of the book, one full, and the other abbreviated.
In the notes, aid is furnished more by hints and suggestions than by full and formal solutions, which, if too numerous, might discourage sufficiently persevering effort, and the all-important habit of self-reliance.
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