FROEBEL'S EIGHTH GIFT THE STRAIGHT LINE.

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The Single and Jointed Slats and Staff or Stick.

"The knowledge of the linear lies at the foundation of the knowledge of each form; the forms are viewed and recognized by the intermediation of the straight-lined."

Friedrich Froebel.

"Froebel's laths, wherewith the child can form letters, correspond to the beech-staves (buchenen StÄbchen, now contracted to Buchstaben, i. e., letters of the alphabet), whereon were carved the runes and magic symbols of our primitive ancestors."

Hermann Poesche.

"It will be readily seen how useful stick-laying may become in perspective drawing, in the study of planes and solids, in crystallography; how, while it insures an enjoyable familiarity with geometrical forms and secures ever-increasing manual skill and delicacy of touch, it develops at the same time the artistic sense of the children in a high degree."

W. N. Hailmann.

1. The wooden staffs of the eighth gift (sometimes called the tenth) are of various lengths, but have for their uniform thickness the tenth of an inch.

They present, as now made, flat sides and square ends, are sometimes uncolored and sometimes dyed in the six primary colors.

2. The previous gifts dealt with solids and plane surfaces, wholes or divided wholes, while this one illustrates the edge or line.

The previous gifts more definitely suggested their uses by their prominent characteristics; this depends for its value largely upon the ingenuity of the teacher.

We have contrasts of size in the preceding gifts, both in the units themselves and in the component parts of which the divided units are made; but in this gift the dimension length is alone emphasized.

3. The most important characteristic of the gift is the representation of the line. The relations of position and form enter as essential elements of usefulness.

4. The laying of sticks may be used as an occupation very early in the kindergarten course, and thus serve as a preparation for the first drawing exercises, but there should be no attempt at this time to give them their legitimate connection with the cube as the edge of the solid and with the tablet as a portion of the surface.

Later they may be introduced in their proper place in the sequence of gifts, and thus assume their true relation in the child's mind. This relation is made more evident as we can and should reproduce the lessons with the solids in outline with the sticks. When the child is more advanced, the connection of the sticks with the preceding objects will be more clearly explained and intelligently comprehended, and then they may be used in connection with softened peas or tiny corks, which serve to illustrate the points of contact of the sides of surfaces and edges of solids whose skeletons the child can then construct with these materials.

5. The geometrical forms illustrated in this gift are:—

Angles of every degree.
Triangles, quadrilaterals, and additional polygons.
Skeletons of solids by means of corks or peas.

6. The law of the mediation of contrasts is shown in the fact that every line is a connection between opposite points. As in the other gifts, the law governs the use of the line in the formation of all outlines of objects and all symmetrical designs.


As we have already noted, the gifts of Froebel are thus far solids, divided solids, planes and divided planes.

Relation of the Single and Jointed Slats to the other Gifts. How both are used.

With the single and jointed slats we shall not deal separately, merely stating that they form a transition between the surface and the line, having more breadth and relation to the surface itself than to the edge, but manifestly tending towards the embodied line of which the little stick given by Froebel is the realization. The jointed slats, generally ruled in half and quarter inches for measuring, may be used to show how one form is developed from another,—for instance, the rhombus from the square, the rhomboid from the oblong, and they are very useful also for explaining and illustrating the different kinds of angles, as the opening between the joints may be made narrower or wider at pleasure.

The disconnected slats are used for the occasional play or exercise of interlacing, forming a variety of figures, geometrical and artistic, which hold together when carefully treated.[66]

Materials of Froebel's Gifts.

As to the unpretentious little sticks themselves, the use of these bits of waste wood is entirely unique and characteristic. No one else would have deemed them worthy of a place in school apparatus or among educational appliances; but Froebel had the eye and mind of a true philosopher, ever seeing the great in the small,—ever bringing out of the commonplace material, which lies unused on every hand, all its inherent possibilities and capabilities of usefulness. Froebel was no destructive reformer, but the most conservative of philosophers.

How the Stick is to be regarded.

The stick of course is to be regarded in its relation to what comes before and after it,—as the embodied edge of the cube, as the tablet was its embodied face. The child should at last identify his stick, the embodiment of the straight line, with the axis of the sphere, the edge of the cube, and the side of the square.[67] The sticks and rings are, properly speaking, one gift, contrasting the curved and straight lines.

Method and Manner of Lessons.

Although the stick exercises should make their appearance at least once every week after their introduction, they may always be varied by stories, and when occasionally connected with other objects, cut from paper to illustrate some point, are among the pleasantest and most fruitful exercises of the kindergarten.

The sticks may be used for teaching number and elementary geometry, both in the kindergarten and school, or for reviewing and fixing knowledge already gained in these directions, for practice in the elements of designing, for giving a correct idea of outlines of familiar objects, and should constantly serve as an introduction to drawing and sewing lessons, to which they are the natural prelude.

They should be used strictly after the manner of the other gifts, beginning with careful dictations, in which the various positions of one stick should be exhausted before proceeding to a greater number, with coÖperative work, and with free invention. These exercises and original designs may be put into permanent form in parquetry, which is furnished for this gift in the various colored papers, as well as for the tablets. The inventions may also be transferred to paper by drawing, and to card-board by sewing.

The exercises may continue from the various simple positions which one stick may assume to really complex dictations requiring from fifteen to twenty-five sticks, and introducing many difficult positions and outlines of new geometrical figures.

Forms of Knowledge and Number Work.

When we consider that the length of the sticks varies from one to six inches, and that the number given to the child is limited only by his capacity for using them successfully, we can see that the outlines of all the rectilinear plane figures can easily be made by their use. Of course in these exercises there must be a great deal of incidental arithmetic, but the gift may also be used for definite number work, and is far better adapted to this purpose than any other in the series, since it presents a number of separate units which may be grouped or combined to suit any simple arithmetical process. Representing the line as it does, it has less bodily substance than any previous gift, and hence comes nearest to the numerical symbols, as the next step to using a line would obviously be making one. It also offers very much the same materials for calculation as were used by the race in its childhood, and hence fits in with the inherited instincts of the undeveloped human being.[68]

Who has not seen him arranging twigs and branches in his play, counting them over and over or simulating the process, and delighting to divide them into groups? So the cave-dweller used them, doubtless, not in play, but in serious earnest, for some such purpose as keeping tally of the wild beasts he had killed, or the number of his enemies vanquished.

"With a few packets of Froebel's sticks," as has been very well said, "the child is provided with an excellent calculating machine." The use of this machine in the primary school in word making as well as in number work is practically unlimited; but in the kindergarten it may very well give a clear, practical understanding of the first four rules of arithmetic,—an understanding which will be based on personal activity and experience.[69]

Evolution of the Kindergarten Stick.

It is well by way of prelude to the first few lessons to draw from the children the origin and history of the tiny bit of wood given them for their play, and they will henceforth regard it in a new light and treat it with greater respect and care.

Let us trace it carefully from its baby beginnings in the seed, its germination and growth, the influences which surround and foster it from day to day, its steady increase in size and strength, its downward grasp and its upward reach, the hardening of the tender stem and slender cylindrical trunk into the massive oak or pine, the growth of its tough, strong garment of bark, its winter times of rest and spring times of renewal, until from the tender green twig so frail and pliant it has become too large to clasp with the arms, and high enough to swing its dry leaves into the church tower. Then let us follow out its usefulness; for instance, we might first paint a glowing word-picture of the logging-camp, the chopping and hewing and felling, the life of the busy woodcutter in the leafy woods in autumn, or in the dense forests in winter time, when the snow, cold and white and dazzling, covers the ground with its fleecy carpet. Again, let us depict the road and the busy teamsters driving their yokes of strong oxen with their heavy loads of logs to the towns and cities where they are to be sold. A scene, a perfect word-picture, should be painted of everything concerning the trip,—the crunching of the oxen's hoofs on the pressed snow, the creaking of the heavy truck as its runners slip along the smooth surface, the breath of the men and animals rising like steam into the clear, cold air. All these things rise in image before the child's eye and are not soon forgotten, you may be sure. The work and life of the river-drivers might also be described, and their manner of floating the logs down river in springtime when the water is high and the current strong. Then perhaps the children will help to tell us about the mill of which they doubtless know something,—where the sawmills are built, how the water helps in turning the great wheel, the buzzing and hissing of the big saws, and the way in which they quickly make boards of the long, strong logs. This and much more may be said, and if it is well said, no child can ever look at the tiny stick afterwards and entirely forget the charm which once surrounded it.[70]

Group Work with Sticks.

The sticks are especially serviceable for group work of various kinds, either at the long or square tables. As the children have now an abundance of material they can make all the objects, perhaps, which may be mentioned in a story the kindergartner tells. If it is about the origin of Thanksgiving Day, for instance, Abby, who sits at one end of the line, may make a picture of the Mayflower, and John, her neighbor, make the Speedwell. The next child may construct a cradle for Oceanus, the little Pilgrim baby born on shipboard; the next use his material for the Indian huts the settlers saw after landing; and so on, each child making a different object, which remains upon his table until the close of the story. When this is completed, it will have been fully illustrated by the children with their sticks, and they will be delighted to inspect the different pictures which they will plainly see are much more varied and beautiful than any one of them could have made alone. Thus the value of coÖperation will be plainly shown, without a word from the kindergartner.[71]

Forms of Life.

As to Life forms in general, their number is practically unlimited, though as they are only line-pictures, and heavy lines at that, they are not as real as those made in the Building Gifts. They are easily made, however, and the veriest baby in the kindergarten who handles the sticks as a prelude to his drawing exercises invents with them all sorts of rude forms which he calls by appropriate names.

The question of color as it enters into these forms needs, perhaps, a moment's consideration here. As the gift includes both white and colored sticks, would it not be well to use the former for all dictations in Life forms, reserving the brilliant hues for the forms of symmetry whose charms they would greatly enhance?

Connection of other Objects with Stick Dictations.

We may sometimes connect simple, inexpensive objects with stick dictations, with a view to making them more realistic and delightful. When the little ones are just getting the various positions and corresponding terms into their minds, and when therefore it is advisable to keep them amused and happy with one to three sticks as long as possible,—that is, until the fundamental principles have become very familiar,—these objects are most invaluable.

Innumerable lessons may be practiced with one stick only, calling it at last a whipstock and giving it a bit of curly paper for a lash. Far from being an instrument of punishment, it makes every child laugh with the glee of possession.

With two sticks laid horizontally we may give a little paper horse-car, or when one is vertical and the other runs horizontally across its end, we may call it a candlestick and snip a half-circle of paper into the semblance of a flame. The effect is electrical, though the light be only one candle-power.

And so on, ad infinitum; it is enough to give the hint for the play. We can cut little paper birds for the bird-cages, tumblers for the rude little tables, green leaves for the trees, etc., making the stick exercise, even in its first more difficult details, a time of great satisfaction and gladness.

Complete sets of these card-board objects, one for each child, should always be kept on hand; if well made they will last a year.

Enough has already been said of the possibilities of the sticks to show that they are most valuable for symmetrical forms. They may be combined with the tablets, and thus very pretty effects be made, and when four children unite their material at the group work tables, the dictations and inventions produced are of course very large, and may be really beautiful if constructed on artistic principles.

Border work may be very fully carried out with the sticks, and another charming feature of the gift is the way in which it lends itself to the making of snow crystals. These are symmetrical combinations and modifications of familiar geometrical forms around the hexagon. Mr. W. N. Hailmann says regarding them: "At first, it is best to give each child only six or twelve sticks, and to dictate the central figure (a hexagon or hexagonal star) verbally or by means of a drawing on the blackboard. They may then receive a number of additional sticks, and let the central figure grow, all obeying the teacher's dictation, or each following his own inventive genius."[72]

In this gift, as well as in the seventh, the child's imitative and inventive powers are obviously more greatly taxed than in the others, and the danger will be, if he is not well trained, that, as he apparently can do anything with the material, he will end by doing nothing. The greater the freedom given to the child, the greater the necessity of teaching him to use that liberty in and through the law, and not to abuse it by failing to reach with its aid the highest ends.

Connection of Sticks with Drawing.

We may make the laying of one-inch sticks in vertical and horizontal positions, in angles and squares, a prelude to the drawing of similar lines; and the copying of stick dictations, either from the table, or from memory, into drawing, is a most excellent exercise, calling into requisition great correctness and good judgment, besides an unusual amount of calculation, since the stick dictation will be on a scale of one inch, and the drawing on a scale of one fourth inch, reducing the original design to one in miniature. The child will almost always begin by attempting to make the picture exactly like his model in size without counting the inches and trying to make it mathematically correct; but after the idea is carefully explained and fully illustrated, he will have no further difficulty excepting, perhaps, with the more complicated figures containing slanting lines.

Ambidexterity.

We should encourage in all possible ways the use of both hands in all the exercises with gifts and occupations, not only that one may be as skillful as the other, but also to avoid a one-sided position of the body which frequently leads to curvature of the spine. The well-known physiologist, Professor Brown-SÉquard, insists on the equal use of both hands, in order to induce the necessary equal flow of blood to the brain. Through the effect of our irregular and abnormal development, the cause of which is the too persistent use of the right hand, one lobe of our brains and one side of our bodies are in a neglected and weakened condition, and the evils resulting from this weakness are many and widespread. Dr. Daniel Wilson says: "In the majority of cases the defect, though it cannot be wholly overcome, may be in great part cured by early training, which will strengthen at once both the body and mind."[73]

Abuse of Eighth Gift.

No materials of the kindergarten (save the beans, lentils, etc., which serve to represent the point) have been so over-used and so abused as the sticks. When no other work was prepared for the children, when helpers were few, and it was desirable to give something which needed no supervision, when inexperienced students were to take charge of classes, when the kindergartner was weary and wanted a quiet moment to rest, when everybody was in a hurry, when the weather was very cold, or oppressively warm, when there was a torrent of rain, or had been a long drought, the sticks were hastily brought forth from the closet and as hastily thrust upon the children. These small sufferers, being thus provided with work-materials in which it was obvious that superior grown people took no interest, immediately lost interest themselves. In riotous kindergartens the sticks were broken, poked into pockets, and thrown on the floor; in the orderly ones they were gazed at apathetically, no one deeming it worth while to stir a hand to arrange them, save under pressure. Sticks had been presented so often and in so tiresome a manner that they produced a kind of mental atrophy in the child,—they were arresting his development instead of forwarding it. Such an abuse of material is entirely unnecessary in the kindergarten, where so many ways are provided of presenting the same truths in all sorts of different and charming guises. It is unnecessary and most unfortunate, for it has frequently thrown undeserved contempt on an innocent and attractive gift, which, when properly treated, is one of the most pleasing and useful which Froebel has bequeathed to us.

READINGS FOR THE STUDENT.

Paradise of Childhood. Edward Wiebe. Pages 39-45.

Kindergarten Guide. J. and B. Ronge. 33-36.

Kindergarten Guide. Kraus-Boelte. 239-373.

The Kindergarten Principle. Mary J. Lyschinska. 103-20.

Law of Childhood. W. N. Hailmann. 39.

Kindergarten Culture. W. N. Hailmann. 70-72.

The Kindergarten. H. Goldammer. 154-72.

Primary Helps. W. N. Hailmann.

Industrial Art in Schools.[74] Charles G. Leland.

Drawing and Decorative Design. Charles G. Leland.

Art and the Formation of Taste. Walter Crane.

Manual of Design. Richard Redgrave, R. A.

Principles of Decorative Design. Christopher Dresser.

Art and Ornament in Dress. Introduction. Charles Blanc.


                                                                                                                                                                                                                                                                                                           

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