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THE CARDINAL VOL. I PLATTSBURGH, N. Y., MAY 28. 1906 No. 5 Belies -Wettve&. The Development of the Number Concept. (Approved by Dr. Kitchell) T HERE are two phases of the development of the number concept. It is to be developed in extension and intension. Extension refers to the range of numbers, it re- fers to when and how they may be used. That is, the children should have such a knowledge of numbers as will enable them to pick out and use 'the numbers easily and ration- ally. To develop the number concept in extension, we first observe qualities: have the children look at some ob- ject, handle it perhaps, and then tell what they can of it. They will probably use descriptive adjectives showing attributes or qualities of the object,—as, soft, round, smooth, large, etc. Use objects familiar to the children, some of their play- things or toys, for instance do not merely refer to some object and have the children mention its qualities, but use concrete objects in the schoolroom. The children are not far enough advanced to work in the abstract, the work in the beginning must deal with actual objects which are before the children. There is great danger in the lower, grades, of making the work too abstract. Knowledge is arrived at by means of the senses, and is verified by an ap-