The Primary Number-lessons, pp. 1 to 27, are intended for the smallest children in the Primary School. It will be seen that they are not mere exercises in counting; and they aim to give the idea of the elementary numbers not only in general, but in detail. The book, so far, is exclusively for the teacher.
For the exercises farther on, commencing with page 28, in graded schools let no preparation by the scholar be attempted beforehand. Let the work be freshly done in the class-room. How closely the drill shall be followed must depend upon the judgment of the teacher. The exercises are afterward to be reproduced by the scholar, for which purpose the book will be needed, as well as for the exercises Applying the principles concretely. In the latter Cases, the reproduction is to be simply by the figures and signs, as in Exercise 34: 3 + 6 = 9; 2 + 5 =7; 7 + 2 = 9; 4 + 4 = 8; 2 + 6 = 8 &c. In ungraded schools, however, for want of time, previous preparation is a necessity, that the usual class-hour may be devoted to drill.
Please read the Notes on pages 1 and 28, 29, with special attention.
This little book is prepared, not in the interest of those whose number perceptions are quick, but in that of those who, under the usual regimen of our lower schools, do not readily learn to compute with facility. The compiler has sought to conform his method to the nature of child-mind; and he will be thankful for those conscientious efforts of the teacher, which shall tend to make his work successful. Let nothing be passed until it is thoroughly mastered; and when that is accomplished, make no delay merely for the purpose of adhering to the letter."
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