I also designed a case containing six trays. The front of this box may be lowered when the top is raised and the trays may be drawn out as one opens the drawers of a desk. Each drawer contains six of the small frames with their respective insets. In the first drawer I keep the four plain wooden squares and two frames, one containing a rhomboid, and the other a trapezoid. In the second, I have a series consisting of a square, and five rectangles of the same length, but varying in width. The third drawer contains six circles which diminish in diameter. In the fourth are six triangles, in the fifth, five polygons from a pentagon to a decagon. The sixth drawer contains six curved figures (an ellipse, an oval, etc., and a flower-like figure formed by four crossed arcs).

Exercise with the Insets. This exercise consists in presenting to the child the large frame or tray in which we may arrange the figures as we wish to present them. We proceed to take out the insets, mix them upon the table, and then invite the child to put them back in place. This game may be played by even the younger children and holds the attention for a long period, though not for so long a time as the exercise with the cylinders. Indeed, I have never seen a child repeat this exercise more than five or six times. The child, in fact, expends much energy upon this exercise. He must recognise the form and must look at it carefully.

At first many of the children only succeed in placing the insets after many attempts, trying for example to place a triangle in a trapezoid, then in a rectangle, etc. Or when they have taken a rectangle, and recognise where it should go, they will still place it with the long side of the inset across the short side of the opening, and will only after many attempts, succeed in placing it. After three or four successive lessons, the child recognises the geometric figures with extreme facility and places the insets with a security which has a tinge of nonchalance, or of slight contempt for an exercise that is too easy. This is the moment in which the child may be led to a methodical observation of the forms. We change the forms in the frame and pass from contrasted frames to analogous ones. The exercise is easy for the child, who habituates himself to placing the pieces in their frames without errors or false attempts.

The first period of these exercises is at the time when the child is obliged to make repeated trials with figures that are strongly contrasted in form. The recognition is greatly helped by associating with the visual sense the muscular-tactile perception of the forms. I have the child touch[12] the contour of the piece with the index finger of his right hand, and then have him repeat this with the contour of the frame into which the pieces must fit. We succeed in making this a habit with the child. This is very easily attained, since all children love to touch things. I have already learned, through my work with deficient children, that among the various forms of sense memory that of the muscular sense is the most precocious. Indeed, many children who have not arrived at the point of recognising a figure by looking at it, could recognise it by touching it, that is, by computing the movements necessary to the following of its contour. The same is true of the greater number of normal children;—confused as to where to place a figure, they turn it about trying in vain to fit it in, yet as soon as they have touched the two contours of the piece and its frame, they succeed in placing it perfectly. Undoubtedly, the association of the muscular-tactile sense with that of vision, aids in a most remarkable way the perception of forms and fixes them in memory.

In such exercises, the control is absolute, as it was in the solid insets. The figure can only enter the corresponding frame. This makes it possible for the child to work by himself, and to accomplish a genuine sensory auto-education, in the visual perception of form.

Exercise with the three series of cards. First series. We give the child the wooden forms and the cards upon which the white figure is mounted. Then we mix the cards upon the table; the child must arrange them in a line upon his table (which he loves to do), and then place the corresponding wooden pieces upon the cards. Here the control lies in the eyes. The child must recognise this figure, and place the wooden piece upon it so perfectly that it will cover and hide the paper figure. The eye of the child here corresponds to the frame, which materially led him at first to bring the two pieces together. In addition to covering the figure, the child is to accustom himself to touching the contour of the mounted figures as a part of the exercise (the child always voluntarily follows those movements); and after he has placed the wooden inset he again touches the contour, adjusting with his finger the superimposed piece until it exactly covers the form beneath.

Second Series. We give a number of cards to the child together with the corresponding wooden insets. In this second series, the figures are repeated by an outline of blue paper. The child through these exercises is passing gradually from the concrete to the abstract. At first, he handled only solid objects. He then passed to a plane figure, that is, to the plane which in itself does not exist. He is now passing to the line, but this line does not represent for him the abstract contour of a plane figure. It is to him the path which he has so often followed with his index finger; this line is the trace of a movement. Following again the contour of the figure with his finger, the child receives the impression of actually leaving a trace, for the figure is covered by his finger and appears as he moves it. It is the eye now which guides the movement, but it must be remembered that this movement was already prepared for when the child touched the contours of the solid pieces of wood.

Third Series. We now present to the child the cards upon which the figures are drawn in black, giving him, as before, the corresponding wooden pieces. Here, he has actually passed to the line; that is, to an abstraction, yet here, too, there is the idea of the result of a movement.