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615098

COPYRIGHT, 1893,

BY

WM. M. GIFFIN.

TO TEACHERS.

Motive. (Charts 1 and 2.) To necessitate the use of the ruler by the children. To exercise their judgment. (They should first judge the lengths of each line and then verify. In the same way objects in the room, parts of the room, etc., should be measured.) To give tests in the five fundamental operations, viz.: addition, subtraction, multiplication, division, and partition.

Too often the study of lines (Long Measure) consists in simply learning the table. Thousands have learned that 12 inches make one foot, 3 feet make one yard, 5 yards make one rod, without ever having seen anything a rod long, knowing it to be such. The writer speaks advisedly, he having been so informed by teachers from nearly every State in the Union. In fact, it is at the earnest request of these teachers that he sends out this " Supplementary Work in Arithmetic," which, at best, is only a suggestion of what may be done in this intensely interesting subject. The first three years in school may be so improved as to make it possible for the children to judge distances and the lengths of objects from an inch to a chain long with almost absolute accuracy.

Charts 3, 4, and 5 review the fundamental operations, necessitate careful observation, the comparison of numbers, and make the child familiar with the names of the plane figures which everywhere surround him.

Charts 6, 7, 8, etc., continue the review and also require the child to search out his own premises, as he must do in all future

work, and to exercise his reasoning faculties e. g. (see Chart VI.). The teacher should require good reason for the answers given thus: If ah is prolonged so as to meet de prolonged, the side de will then be equal to a b, hence ab equals the sum of hg, fe, and dc, or 4 inches.

That the book, which is soon to be followed by Part Two (Area) and Part Three (Volume), will prove a help to the teachers into whose hands it may fall, is the earnest hope of the Author.

COOK COUNTY NORMAL SCHOOL, Dec. 21, 1893.

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