Fired with this enthusiasm, the master wishes to impart it to the child. He expects to rouse his emotion by drawing attention to his own. Mere folly! The splendour of nature lives in man's heart; to be seen, it must be felt. The child sees the objects themselves, but does not perceive their relations, and cannot hear their harmony. It needs knowledge he has not yet acquired, feelings he has not yet experienced, to receive the complex impression which results from all these separate sensations. If he has not wandered over arid plains, if his feet have not been scorched by the burning sands of the desert, if he has not breathed the hot and oppressive air reflected from the glowing rocks, how shall he delight in the fresh air of a fine morning. The scent of flowers, the beauty of foliage, the moistness of the dew, the soft turf beneath his feet, how shall all these delight his senses. How shall the song of the birds arouse voluptuous emotion if love and pleasure are still unknown to him? How shall he behold with rapture the birth of this fair day, if his imagination cannot paint the joys it may bring in its track? How can he feel the beauty of nature, while the hand that formed it is unknown?
Never tell the child what he cannot understand: no descriptions, no eloquence, no figures of speech, no poetry. The time has not come for feeling or taste. Continue to be clear and cold; the time will come only too soon when you must adopt another tone.
Brought up in the spirit of our maxims, accustomed to make his own tools and not to appeal to others until he has tried and failed, he will examine everything he sees carefully and in silence. He thinks rather than questions. Be content, therefore, to show him things at a fit season; then, when you see that his curiosity is thoroughly aroused, put some brief question which will set him trying to discover the answer.
On the present occasion when you and he have carefully observed the rising sun, when you have called his attention to the mountains and other objects visible from the same spot, after he has chattered freely about them, keep quiet for a few minutes as if lost in thought and then say, "I think the sun set over there last night; it rose here this morning. How can that be?" Say no more; if he asks questions, do not answer them; talk of something else. Let him alone, and be sure he will think about it.
To train a child to be really attentive so that he may be really impressed by any truth of experience, he must spend anxious days before he discovers that truth. If he does not learn enough in this way, there is another way of drawing his attention to the matter. Turn the question about. If he does not know how the sun gets from the place where it sets to where it rises, he knows at least how it travels from sunrise to sunset, his eyes teach him that. Use the second question to throw light on the first; either your pupil is a regular dunce or the analogy is too clear to be missed. This is his first lesson in cosmography.
As we always advance slowly from one sensible idea to another, and as we give time enough to each for him to become really familiar with it before we go on to another, and lastly as we never force our scholar's attention, we are still a long way from a knowledge of the course of the sun or the shape of the earth; but as all the apparent movements of the celestial bodies depend on the same principle, and the first observation leads on to all the rest, less effort is needed, though more time, to proceed from the diurnal revolution to the calculation of eclipses, than to get a thorough understanding of day and night.
Since the sun revolves round the earth it describes a circle, and every circle must have a centre; that we know already. This centre is invisible, it is in the middle of the earth, but we can mark out two opposite points on the earth's surface which correspond to it. A skewer passed through the three points and prolonged to the sky at either end would represent the earth's axis and the sun's daily course. A round teetotum revolving on its point represents the sky turning on its axis, the two points of the teetotum are the two poles; the child will be delighted to find one of them, and I show him the tail of the Little bear. Here is a another game for the dark. Little by little we get to know the stars, and from this comes a wish to know the planets and observe the constellations.
We saw the sun rise at midsummer, we shall see it rise at Christmas or some other fine winter's day; for you know we are no lie-a-beds and we enjoy the cold. I take care to make this second observation in the same place as the first, and if skilfully lead up to, one or other will certainly exclaim, "What a funny thing! The sun is not rising in the same place; here are our landmarks, but it is rising over there. So there is the summer east and the winter east, etc." Young teacher, you are on the right track. These examples should show you how to teach the sphere without any difficulty, taking the earth for the earth and the sun for the sun.
As a general rule—never substitute the symbol for the thing signified, unless it is impossible to show the thing itself; for the child's attention is so taken up with the symbol that he will forget what it signifies.
I consider the armillary sphere a clumsy disproportioned bit of apparatus. The confused circles and the strange figures described on it suggest witchcraft and frighten the child. The earth is too small, the circles too large and too numerous, some of them, the colures, for instance, are quite useless, and the thickness of the pasteboard gives them an appearance of solidity so that they are taken for circular masses having a real existence, and when you tell the child that these are imaginary circles, he does not know what he is looking at and is none the wiser.
We are unable to put ourselves in the child's place, we fail to enter into his thoughts, we invest him with our own ideas, and while we are following our own chain of reasoning, we merely fill his head with errors and absurdities.
Should the method of studying science be analytic or synthetic? People dispute over this question, but it is not always necessary to choose between them. Sometimes the same experiments allow one to use both analysis and synthesis, and thus to guide the child by the method of instruction when he fancies he is only analysing. Then, by using both at once, each method confirms the results of the other. Starting from opposite ends, without thinking of following the same road, he will unexpectedly reach their meeting place and this will be a delightful surprise. For example, I would begin geography at both ends and add to the study of the earth's revolution the measurement of its divisions, beginning at home. While the child is studying the sphere and is thus transported to the heavens, bring him back to the divisions of the globe and show him his own home.
His geography will begin with the town he lives in and his father's country house, then the places between them, the rivers near them, and then the sun's aspect and how to find one's way by its aid. This is the meeting place. Let him make his own map, a very simple map, at first containing only two places; others may be added from time to time, as he is able to estimate their distance and position. You see at once what a good start we have given him by making his eye his compass.
No doubt he will require some guidance in spite of this, but very little, and that little without his knowing it. If he goes wrong let him alone, do not correct his mistakes; hold your tongue till he finds them out for himself and corrects them, or at most arrange something, as opportunity offers, which may show him his mistakes. If he never makes mistakes he will never learn anything thoroughly. Moreover, what he needs is not an exact knowledge of local topography, but how to find out for himself. No matter whether he carries maps in his head provided he understands what they mean, and has a clear idea of the art of making them. See what a difference there is already between the knowledge of your scholars and the ignorance of mine. They learn maps, he makes them. Here are fresh ornaments for his room.
Remember that this is the essential point in my method—Do not teach the child many things, but