[67] "Just as we obtained the tablets from the cubes, of which they are the embodied faces, so now we obtain also the laying-sticks from the cube, whose edges they represent. But they are contained also in the laying-tablets, for one may regard the surface as produced by the progressive movement of a line, and this may be made clear to the child by slicing a square tablet into a number of sticks."—H. Goldammer, The Kindergarten, page 161.

[68] "Each following generation and each following individual man is to pass through the whole earlier development and cultivation of the human race,—and he does pass it; otherwise he would not understand the world past and present,—but not by the dead way of imitation, of copying, but by the living way of individual, free, active development and cultivation."—Friedrich Froebel, Education of Man, page 11.

[69] "Thus the child's sphere of knowledge, the world of his life, is again extended by the observation and recognition, by the development and cultivation, of the capacity of number; and an essential need of his inner nature, a certain yearning of his spirit, are thereby satisfied.... The knowledge of the relations of quantity extraordinarily heightens the life of the child."—Friedrich Froebel, Education of Man, page 45.

[70] "These terse graphic descriptions of objects will be found very serviceable in sharpening and intensifying the powers of observation, as well as securing clearness, distinctness, accuracy, and life in verbal description. Here the pupil learns practically to give due prominence to essentials, and to appreciate the full value of accessories; to look for and discover the fundamental ideas of which things are the modified, adorned, garbled, or stunted expression; to seek and find the very soul of things."—W. N. Hailmann, Primary Helps, page 17.

[71] "In this group work it is desirable that the common aims should be fully within the comprehension of each little worker, yet sufficiently beyond his powers of execution and endurance to make him sensible of the need of assistance. The former secures the possibility of individual enjoyment, and hence the only reliable incentive to persistence; the latter insures free subordination to the will of the whole, the essential condition of success."—W. N. Hailmann, Primary Helps, page 18.

[72] "These forms are invaluable even as silent teachers of geometrical and numerical relations. Used judiciously in conversational lessons, leading to partial or complete analysis of the figures in spoken or written descriptions, their teaching power is inexhaustible."—W. N. Hailmann's Primary Helps, page 21.

[73] "Whenever the early and persistent cultivation of the full use of both hands has been accomplished, the result is greater efficiency, without any corresponding awkwardness or defect. In certain arts and professions, both hands are necessarily called into play. The skillful surgeon finds an enormous advantage in being able to transfer his instrument from one hand to the other. The dentist has to multiply instruments to make up for the lack of such acquired power. The fencer who can transfer his weapon to the left hand places his adversary at a disadvantage. The lumberer finds it indispensable, in the operation of his woodcraft, to learn to chop timber right-and-left-handed; and the carpenter may be frequently seen using the saw and hammer in either hand, and thereby not only resting his arm, but greatly facilitating his work. In all the fine arts the mastery of both hands is advantageous. The sculptor, the carver, the draughtsman, the engraver, the cameo-cutter, each has recourse at times to the left hand for special manipulative dexterity; the pianist depends little less on the left hand than on the right; and as for the organist, with the numerous pedals and stops of the modern grand organ, a quadrumanous musician would still find reason to envy the ampler scope which a Briareus could command."—Dr. Daniel Wilson, Left-Handedness. A Hint for Educators.

[74] Circulars of Information of the Bureau of Education, No. 4, 1882.

[75] "The number of rings should only gradually be augmented. Satiety destroys every impulse of creation."—Emma Marwedel, Childhood's Poetry and Studies, page 15.

[76] "It is true that the child produces forms of beauty with other material also, but it is the curved line which offers the strongest inducements to attempt such forms, since even the simplest combinations of a small number of semicircles and circles yield figures bearing the stamp of beauty."—H. Goldammer's The Kindergarten, page 177.