In the first series the forms are filled in, i.e., they are cut out in blue paper and gummed on to the card; in the second series there is only an outline about half a centimeter in width, which is cut out in the same blue paper and gummed to the card; in the third series, however, the geometrical figures are instead outlined only in black ink.
By the use of this second piece of the material, the exercise of the eye is gradually brought to perfection in the recognition of “plane forms.” In fact, there is no longer the concrete control of error in the material as there was in the wooden insets, but the child, by his eye alone, must judge of identities of form when, instead of fitting the wooden forms into their corresponding apertures, he simply rests them on the cardboard figure.
Again, the refinement of the eye’s power of discrimination increases every time the child passes from one series of cards to the next, and by the time that he has reached the third series, he can see the relation between a wooden object, which he holds in his hand, and an outline drawing; that is, he can connect the concrete reality with an abstraction. The line now assumes in his eyes a very definite meaning; and he accustoms himself to recognize, to interpret and to judge of forms contained by a simple outline.
The exercises are various; the children themselves invent them. Some love to spread out a number of the figures of the geometric insets before their eyes, and then, taking a handful of the cards and mixing them like playing cards, deal them out as quickly as possible, choosing the figures corresponding to the pieces. Then as a test of their choice, they place the wooden pieces upon the forms on the cards. At this exercise they often cover whole tables, putting the wooden figures above, and beneath each one in a vertical line, the three corresponding forms of the cardboard series.
Another game invented by the children consists 53 in putting out and mixing all the cards of the three series on two or three adjoining tables. The child then takes a wooden geometrical form and places it, as quickly as possible, on the corresponding cards which he has recognized at a glance among all the rest.
Four or five children play this game together, and as soon as one of them has found, for example, the filled-in figure corresponding to the wooden piece, and has placed the piece carefully and precisely upon it, another child takes away the piece in order to place it on the same form in outline. The game is somewhat suggestive of chess.
Many children, without any suggestion from any one, touch with the finger the outline of the figures in the three series of cards, doing it with seriousness of purpose, interest and perseverance.
We teach the children to name all the forms of the plane insets.
At first I had intended to limit my teaching to the most important names, such as square, rectangle, circle. But the children wanted to know all the names, taking pleasure in learning even 54 the most difficult, such as trapezium, and decagon. They also show great pleasure in listening to the exact pronunciation of new words and in their repetition. Early childhood is, in fact, the age in which language is formed, and in which the sounds of a foreign language can be perfectly learned.