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asts of color, mediations of them being shown also, and contrasts of direction and position or situation. Another point less readily seen in the first gift perhaps was Froebel's thought that the ball, in its perfect simplicity and unity, when first given to the young child, is regarded by him as another contrasted individuality, almost as capable of life in its varied movements as he is himself. Mobility of Sphere. The sphere is the symbol of motion, the cube the embodiment of rest, and the fact should be illustrated in divers ways. We may, for instance, place the sphere near the rim of a plate, and by inclining the latter a little, the sphere will roll rapidly round its own axis and round the rim. A few simple little rhymes may be taught, which the children may say or sing together while the sphere is journeying rapidly round and round the plate, for, as Froebel says, the thought always grows clearer to the child when word and motion go hand in hand. Sphere and Cube. The cube can only be moved, on the contrary, when force is exerted, and then it merely slides, to stop when the force is removed. The children will soon see why the cube is so lazily inclined, and why the sphere is ever rolling, rolling about, scarcely to be kept still, for by various experiments we may show that the sphere stands only on a little part of its face, the cube on the whole. The sphere is always the same in whatever way regarded, and to whatever tests subjected. It is always an emblem of unity, and cannot be robbed of its simplicity, its unity, its freedom from all that is puzzling. The cube, on the contrary, being made to revolve on any one of its axes, constantly shows a different aspect, so that the child views it as a very extraordinary little block, full of fascinating surprises and whimsical apparitions. It is put upon the string, and, when whirled rapidly, mysteriously loses its identity, and appears to the little one's laughing gaze as an entirely different object; and yet as the motion grows more sedate, the new form fades away and the cube reappears so quickly as to make him rub his eyes and wonder if he has been dreaming. Counting Faces. The square faces of the cube, in comparison with the one curved, unbroken surface of the sphere, must now be noted, and may be counted if we are using the gift as a means of instruction. We must beware, however, of making this counting exercise into a lesson, or requir
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