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attainment the power he has already acquired through exercising the sense of 94 touch. Whilst the child touches a letter, the teacher pronounces its sound, and she uses for the lesson the usual three periods. Thus, for example, presenting the two vowels i, o, she will have the child touch them slowly and accurately, and repeat their relative sounds one after the other as the child touches them, β€œi, i, i! o, o, o!” Then she will say to the child: β€œGive me i!” β€œGive me o!” Finally, she will ask the question: β€œWhat is this?” To which the child replies, β€œi, o.” She proceeds in the same way through all the other letters, giving, in the case of the consonants, not the name, but only the sound. The child then touches the letters by himself over and over again, either on the separate cards or on the large cards on which several letters are gummed, and in this way he establishes the movements necessary for tracing the alphabetical signs. At the same time he retains the visual image of the letter. This process forms the first preparation, not only for writing, but also for reading, because it is evident that when the child touches the letters he performs the movement corresponding to the writing of them, and, 95 at the same time, when he recognizes them by sight he is reading the alphabet.

The child has thus prepared, in effect, all the necessary movements for writing; therefore he can write. This important conquest is the result of a long period of inner formation of which the child is not clearly aware. But a day will come––very soon––when he will write, and that will be a day of great surprise for him––the wonderful harvest of an unknown sowing.


Fig. 31.––Box of Movable Letters.

The alphabet of movable letters cut out in pink and blue cardboard, and kept in a special box with compartments, serves β€œfor the composition of words.” (Fig. 31.)

In a phonetic language, like Italian, it is enough to pronounce clearly the different component sounds of a word (as, for example, m-a-n-o), so that the child whose ear is already educated may recognize one by one the component sounds. Then he looks in the movable alphabet for the signs corresponding to each separate sound, and lays them one beside the other, thus composing the word (for instance, mano). Gradually he will 96 become able to do the same thing with words of which he thinks himself; he succeeds in breaking them up into their component sounds, and in translating them into a row of signs.

When the child has composed the words in this way, he knows how to read them. In this method, therefore, all the processes leading to writing include reading as well.

If the language is not phonetic, the teacher can compose separate words with the movable alphabet, and then pronounce them, letting the child repeat by himself the exercise of arranging and rereading them.

In the material there are two movable alphabets. One of them consists of larger letters, and is divided into two boxes, each of which contains the vowels. This is used for the first exercises, in which the child needs very large objects in order to recognize the letters. When he is acquainted with one half of the consonants he can begin to compose words, even though he is dealing with one part only of the alphabet.

The other movable alphabet has smaller letters and is contained in a single box. It is given to children who have made their first attempts at 97 composition with words, and already know the complete alphabet.

It is after these exercises with the movable alphabet that the child is able to write entire words. This phenomenon generally occurs unexpectedly, and then a child who has never yet traced a stroke or a letter on paper writes several words in succession. From that moment he continues to write, always gradually perfecting himself. This spontaneous writing takes on the characteristics of a natural phenomenon, and the child who has begun to write the β€œfirst word” will continue to write in the same way as he spoke after pronouncing the first word, and as he walked after having taken the first step. The same course of inner formation through which the phenomenon of writing appeared is the course of his future progress, of his growth to perfection. The child prepared in this way has entered upon a course of development through which he will pass as surely as the growth of the body and the development of the natural functions have passed through their course of development when life has once been established.

For the interesting and very complex phenomena 98 relating to the development of writing and then of reading, see my larger works.

THE READING OF MUSIC

Fig. 32.––The Musical Staff.[A]

When the child knows how to read, he can make a first application of this knowledge to the reading of the names of musical notes.

In connection with the material for sensory education, consisting of the series of bells, we use a didactic material, which serves as an introduction to musical reading. For this purpose we have, in the first place, a wooden board, not very long, and painted pale green. On this board the staff is cut out in black, and in every line and space are cut round holes, inside each of which is written the name of the note in its reference to the treble clef.

There is also a series of little white discs which can be fitted into the holes. On one side of each disc is written the name of the note (doh, re, mi, fah, soh, lah, ti, doh).

The child, guided by the name written on the discs, puts them, with the name uppermost, in their right places on the board and then reads the names of the notes. This exercise he can do by 99 himself, and he learns the position of each note on the staff. Another exercise which the child can do at the same time is to place the disc bearing the name of the note on the rectangular base of the corresponding bell, whose sound he has already learned to recognize by ear in the sensorial exercise described above.


Fig. 39.––Dumb Keyboard.

Following this exercise there is another staff made on a board of green wood, which is longer than the other and has neither indentures nor signs. A considerable number of discs, on one side of which are written the names of the notes, is at the disposal of the child. He takes up a disc at random, reads its name and places it on the staff, 100 with the name underneath, so that the white face of the disc shows on the top. By the repetition of this exercise the child is enabled to arrange many discs on the same line or in the same space. When he has finished, he turns them all over so that the names are outside, and so finds out if he has made mistakes. After learning the treble clef the child passes on to learn the bass with great ease.

To the staff described above can be added another similar to it, arranged as is shown in the figure. (Fig. 32.) The child beginning with doh, lays the discs on the board in ascending order in their right position until the octave is reached: doh, re, mi, fah, soh, lah, ti, doh. Then he descends the scale in the same way, returning to doh, but continuing to place the discs always to the right: soh, fah, mi, re, doh. In this way he forms an angle. At this point he descends again to the lower staff, ti, lah, soh, fah, mi, re, doh, then he ascends again on the other side: re, mi, fah, soh, lah, ti, and by forming with his two lines of discs another angle in the bass, he has completed a rhombus, β€œthe rhombus of the notes.”

After the discs have been arranged in this way, 101 the upper staff is separated from the lower. In the lower the notes are arranged according to the bass clef. In this way the first elements of musical reading are presented to the child, reading which corresponds to sounds with which the child’s ear is already acquainted.

For a first practical application of this knowledge we have used in our schools a miniature pianoforte keyboard, which reproduces the essentials of this instrument, although in a simplified form, and so that they are visible. Two octaves only are reproduced, and the keys, which are small, are proportioned to the hand of a little child of four or five years, as the keys of the common piano are proportioned to those of the adult. All the mechanism of the key is visible. (Fig. 39.) On striking a key one sees the hammer rise, on which is written the name of the note. The hammers are black and white, like the notes.

With this instrument it is very easy for the child to practise alone, finding the notes on the keyboard corresponding to some bar of written music, and following the movements of the fingers made in playing the piano.

The keyboard in itself is mute, but a series of 102 resonant tubes, resembling a set of organ-pipes, can be applied to the upper surface, so that the hammers striking these produce musical notes corresponding to the keys struck. The child can then pursue his exercises with the control of the musical sounds.

DIDACTIC MATERIAL FOR MUSICAL READING.

Fig. 33.
On the wooden board, round spaces are cut out corresponding to the notes. Inside each of the spaces there is a figure. On one side of each of the discs is written a number and on the other the name of the note. They are fitted by the child into the corresponding places.


Fig. 34.
The child next arranged the discs in the notes cut out on the staff, but there are no longer numbers written to help him find the places. Instead, he must try to remember the place of the note on the staff. If he is not sure he consults the numbered board (Fig. 33).


Fig. 35.
The child arranged on the staff the semitones in the spaces which remain where the discs are far apart: do-re, re-mi, fah-soh, soh-la, la-ti. The discs for the semitones have the sharp on one side and the flat on the other, e.g., reβ™―-miβ™­ are written on the opposite sides of the same disc.


Fig. 36.
The children take a large number of discs and arrange them on the staff, leaving uppermost the side which is blank, i.e., the side on which the name of the note is not written. Then they verify their work by turning the discs over and reading the name.


Fig. 37.
The double staff is formed by putting the two staves together. The children arrange the notes in the form of a rhombus.


Fig. 38.
The two boards are then separated and the notes remain arranged according to the treble and bass clefs. The corresponding key signatures are then placed upon the two different staves.

ARITHMETIC

The children possess all the instinctive knowledge necessary as a preparation for clear ideas on numeration. The idea of quantity was inherent

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