The whole course of man's life up to adolescence is a period of weakness; yet there comes a time during these early years when the child's strength overtakes the demands upon it, when the growing creature, though absolutely weak, is relatively strong.His needs are not fully developed and his present strength is more than enough for them. He would be a very feeble man, but he is a strong child.

What is the cause of man's weakness? It is to be found in the disproportion between his strength and his desires. It is our passions that make us weak, for our natural strength is not enough for their satisfaction. To limit our desires comes to the same thing, therefore, as to increase our strength. When we can do more than we want, we have strength enough and to spare, we are really strong. This is the third stage of childhood,the stage with which I am about to deal. I still speak of childhood for want of a better word; for our scholar is approaching adolescence, though he has not yet reached the age of puberty.

About twelve or thirteen the child's strength increases far more rapidly than his needs. The strongest and fiercest of the passions is still unknown,his physical development is still imperfect and seems to await the call of the will. He is scarcely aware of extremes of heat and cold and braves them with impunity. He needs no coat, his blood is warm; no spices, hunger is his sauce, no food comes amiss at this age; if he is sleepy he stretches himself on the ground and goes to sleep; he finds all he needs within his reach; he is not tormented by any imaginary wants;he cares nothing what others think; his desires are not beyond his grasp; not only is he self-sufficing, but for the first and last time in his life he has more strength than he needs.

I know beforehand what you will say. You will not assert that the child has more needs than I attribute to him, but you will deny his strength. You forget that I am speaking of my own pupil, not of those puppets who walk with difficulty from one room to another,who toil indoors and carry bundles of paper. Manly strength, you say, appears only with manhood; the vital spirits, distilled in their proper vessels and spreading through the whole body, can alone make the muscles firm, sensitive, tense, and springy, can alone cause real strength. This is the philosophy of the study; I appeal to that of experience. In the country districts, I see big lads hoeing, digging, guiding the plough, filling the wine-cask, driving the cart, like their fathers; you would take them for grown men if their voices did not betray them. Even in our towns, iron-workers', tool makers', and blacksmiths' lads are almost as strong as their masters and would be scarcely less skilful had their training begun earlier. If there is a difference,and I do not deny that there is, it is, I repeat, much less than the difference between the stormy passions of the man and the few wants of the child. Moreover, it is not merely a question of bodily strength, but more especially of strength of mind, which reinforces and directs the bodily strength.

This interval in which the strength of the individual is in excess of his wants is, as I have said, relatively though not absolutely the time of greatest strength. It is the most precious time in his life; it comes but once;it is very short, all too short, as you will see when you consider the importance of using it aright.

He has, therefore, a surplus of strength and capacity which he will never have again. What use shall he make of it? He will strive to use it in tasks which will help at need. He will, so to speak, cast his present surplus into the storehouse of the future; the vigorous child will make provision for the feeble man; but he will not store his goods where thieves may break in,nor in barns which are not his own. To store them aright, they must be in the hands and the head, they must be stored within himself. This is the time for work, instruction, and inquiry. And note that this is no arbitrary choice of mine, it is the way of nature herself.

Human intelligence is finite, and not only can no man know everything, he cannot even acquire all the scanty knowledge of others. Since the contrary of every false proposition is a truth, there are as many truths as falsehoods. We must, therefore, choose what to teach as well as when to teach it. Some of the information within our reach is false, some is useless,some merely serves to puff up its possessor. The small store which really contributes to our welfare alone deserves the study of a wise man, and therefore of a child whom one would have wise. He must know not merely what is, but what is useful.

From this small stock we must also deduct those truths which require a full grown mind for their understanding, those which suppose a knowledge of man's relations to his fellow-men—a knowledge which no child can acquire; these things, although in themselves true, lead an inexperienced mind into mistakes with regard to other matters.

We are now confined to a circle, small indeed compared with the whole of human thought, but this circle is still a vast sphere when measured by the child's mind. Dark places of the human understanding,what rash hand shall dare to raise your veil? What pitfalls does our so-called science prepare for the miserable child. Would you guide him along this dangerous path and draw the veil from the face of nature? Stay your hand. First make sure that neither he nor you will become dizzy. Beware of the specious charms of error and the intoxicating fumes of pride.Keep this truth ever before you—Ignorance never did any one any harm, error alone is fatal, and we do not lose our way through ignorance but through selfconfidence.

His progress in geometry may serve as a test and a true measure of the growth of his intelligence, but as soon as he can distinguish between what is useful and what is useless, much skill and discretion are required to lead him towards theoretical studies. For example,would you have him find a mean proportional between two lines, contrive that he should require to find a square equal to a given rectangle; if two mean proportionals are required, you must first contrive to interest him in the doubling of the cube. See how we are gradually approaching the moral ideas which distinguish between good and evil. Hitherto we have known no law but necessity, now we are considering what is useful; we shall soon come to what is fitting and right.

Man's diverse powers are stirred by the same instinct. The bodily activity, which seeks an outlet for its energies, is succeeded by the mental activity which seeks for knowledge. Children are first restless,then curious; and this curiosity, rightly directed, is the means of development for the age with which we are dealing. Always distinguish between natural and acquired tendencies. There is a zeal for learning which has no other foundation than a wish to appear learned,and there is another which springs from man's natural curiosity about all things far or near which may affect himself. The innate desire for comfort and the impossibility of its complete satisfaction impel him to the endless search for fresh means of contributing to its satisfaction. This is the first principle of curiosity; a principle natural to the human heart, though its growth is proportional to the development of our feeling and knowledge. If a man of science were left on a desert island with his books and instruments and knowing that he must spend the rest of his life there, he would scarcely trouble himself about the solar system, the laws of attraction, or the differential calculus. He might never even open a book again; but he would never rest till he had explored the furthest corner of his island, however large it might be. Let us therefore omit from our early studies such knowledge as has no natural attraction for us, and confine ourselves to such things as instinct impels us to study.

Our island is this earth; and the most striking object we behold is the sun. As soon as we pass beyond our immediate surroundings, one or both of these must meet our eye. Thus the philosophy of most savage races is mainly directed to imaginary divisions of the earth or to the divinity of the sun.

What a sudden change you will say. Just now we were concerned with what touches ourselves, with our immediate environment, and all at once we are exploring the round world and leaping to the bounds of the universe. This change is the result of our growing strength and of the natural bent of the mind.While we were weak and feeble, self-preservation concentrated our attention on ourselves; now that we are strong and powerful, the desire for a wider sphere carries us beyond ourselves as far as our eyes can reach. But as the intellectual world is still unknown to us, our thoughts are bounded by the visible horizon,and our understanding only develops within the limits of our vision.

Let us transform our sensations into ideas, but do not let us jump all at once from the objects of sense to objects of thought. The latter are attained by means of the former. Let the senses be the only guide for the first workings of reason. No book but the world, no teaching but that of fact. The child who reads ceases to think, he only reads. He is acquiring words not knowledge.

Teach your scholar to observe the phenomena of nature; you will soon rouse his curiosity, but if you would have it grow, do not be in too great a hurry to satisfy this curiosity. Put the problems before him and let him solve them himself. Let him know nothing because you have told him, but because he has learnt it for himself. Let him not be taught science, let him discover it. If ever you substitute authority for reason he will cease to reason; he will be a mere plaything of other people's thoughts.

You wish to teach this child geography and you provide him with globes, spheres, and maps. What elaborate preparations! What is the use of all these symbols; why not begin by showing him the real thing so that he may at least know what you are talking about?

One fine evening we are walking in a suitable place where the wide horizon gives us a full view of the setting sun, and we note the objects which mark the place where it sets. Next morning we return to the same place for a breath of fresh air before sun-rise.We see the rays of light which announce the sun's approach; the glow increases, the east seems afire,and long before the sun appears the light leads us to expect its return. Every moment you expect to see it.There it is at last! A shining point appears like a flash of lightning and soon fills the whole space; the veil of darkness rolls away, man perceives his dwelling place in fresh beauty. During the night the grass has assumed a fresher green; in the light of early dawn,and gilded by the first rays of the sun, it seems covered with a shining network of dew reflecting the light and colour. The birds raise their chorus of praise to greet the Father of life, not one of them is mute; their gentle warbling is softer than by day, it expresses the langour of a peaceful waking. All these produce an impression of freshness which seems to reach the very soul. It is a brief hour of enchantment which no man can resist;a sight so grand, so fair, so delicious, that none can behold it unmoved.

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 never to let him form inaccurate or confused ideas.I care not if he knows nothing provided he is not mistaken, and I only acquaint him with truths to guard him against the errors he might put in their place.Reason and judgment come slowly, prejudices flock to us in crowds, and from these he must be protected. But if you make science itself your object, you embark on an unfathomable and shoreless ocean, an ocean strewn with reefs from which you will never return. When I see a man in love with knowledge, yielding to its charms and flitting from one branch to another unable to stay his steps, he seems to me like a child gathering shells on the sea-shore, now picking them up, then throwing them aside for others which he sees beyond them, then taking them again, till overwhelmed by their number and unable to choose between them, he flings them all away and returns empty handed.

Time was long during early childhood; we only tried to pass our time for fear of using it ill; now it is the other way; we have not time enough for all that would be of use. The passions, remember, are drawing near, and when they knock at the door your scholar will have no ear for anything else. The peaceful age of intelligence is so short, it flies so swiftly, there is so much to be done, that it is madness to try to make your child learned. It is not your business to teach him the various sciences, but to give him a taste for them and methods of learning them when this taste is more mature. That is assuredly a fundamental principle of all good education.

This is also the time to train him gradually to prolonged attention to a given object; but this attention should never be the result of constraint, but of interest or desire; you must be very careful that it is not too much for his strength, and that it is not carried to the point of tedium. Watch him, therefore, and whatever happens, stop before he is tired, for it matters little what he learns; it does matter that he should do nothing against his will.

If he asks questions let your answers be enough to whet his curiosity but not enough to satisfy it;above all, when you find him talking at random and overwhelming you with silly questions instead of asking for information, at once refuse to answer; for it is clear that he no longer cares about the matter in hand, but wants to make you a slave to his questions.Consider his motives rather than his words. This warning, which was scarcely needed before, becomes of supreme importance when the child begins to reason.

There is a series of abstract truths by means of which all the sciences are related to common principles and are developed each in its turn. This relationship is the method of the philosophers. We are not concerned with it at present. There is quite another method by which every concrete example suggests another and always points to the next in the series.This succession, which stimulates the curiosity and so arouses the attention required by every object in turn, is the order followed by most men, and it is the right order for all children. To take our bearings so as to make our maps we must find meridians. Two points of intersection between the equal shadows morning and evening supply an excellent meridian for a thirteenyear-old astronomer. But these meridians disappear, it takes time to trace them, and you are obliged to work in one place. So much trouble and attention will at last become irksome. We foresaw this and are ready for it.

Again I must enter into minute and detailed explanations. I hear my readers murmur, but I am prepared to meet their disapproval; I will not sacrifice the most important part of this book to your impatience. You may think me as long-winded as you please; I have my own opinion as to your complaints.

Long ago my pupil and I remarked that some substances such as amber, glass, and wax, when well rubbed, attracted straws, while others did not. We accidentally discover a substance which has a more unusual property, that of attracting filings or other small particles of iron from a distance and without rubbing. How much time do we devote to this game to the exclusion of everything else! At last we discover that this property is communicated to the iron itself,which is, so to speak, endowed with life. We go to the fair one day and a conjuror has a wax duck floating in a basin of water, and he makes it follow a bit of bread. We are greatly surprised, but we do not call him a wizard, never having heard of such persons. As we are continually observing effects whose causes are unknown to us, we are in no hurry to make up our minds, and we remain in ignorance till we find an opportunity of learning.

When we get home we discuss the duck till we try to imitate it. We take a needle thoroughly magnetised,we imbed it in white wax, shaped as far as possible like a duck, with the needle running through the body,so that its eye forms the beak. We put the duck in water and put the end of a key near its beak, and you will readily understand our delight when we find that our duck follows the key just as the duck at the fair followed the bit of bread. Another time we may note the direction assumed by the duck when left in the basin; for the present we are wholly occupied with our work and we want nothing more.

The same evening we return to the fair with some bread specially prepared in our pockets, and as soon as the conjuror has performed his trick, my little doctor, who can scarcely sit still, exclaims, "The trick is quite easy; I can do it myself." "Do it then." He at once takes the bread with a bit of iron hidden in it from his pocket; his heart throbs as he approaches the table and holds out the bread, his hand trembles with excitement. The duck approaches and follows his hand. The child cries out and jumps for joy. The applause, the shouts of the crowd, are too much for him, he is beside himself. The conjuror, though disappointed, embraces him, congratulates him, begs the honour of his company on the following day, and promises to collect a still greater crowd to applaud his skill. My young scientist is very proud of himself and is beginning to chatter, but I check him at once and take him home overwhelmed with praise.

The child counts the minutes till to-morrow with absurd anxiety. He invites every one he meets, he wants all mankind to behold his glory; he can scarcely wait till the appointed hour. He hurries to the place;the hall is full already; as he enters his young heart swells with pride. Other tricks are to come first.The conjuror surpasses himself and does the most surprising things. The child sees none of these; he wriggles, perspires, and hardly breathes; the time is spent in fingering with a trembling hand the bit of bread in his pocket. His turn comes at last; the master announces it to the audience with all ceremony; he goes up looking somewhat shamefaced and takes out his bit of bread. Oh fleeting joys of human life! the duck, so tame yesterday, is quite wild to-day; instead of offering its beak it turns tail and swims away; it avoids the bread and the hand that holds it as carefully as it followed them yesterday. After many vain attempts accompanied by derisive shouts from the audience the child complains that he is being cheated,that is not the same duck, and he defies the conjuror to attract it.

The conjuror, without further words, takes a bit of bread and offers it to the duck, which at once follows it and comes to the hand which holds it. The child takes the same bit of bread with no better success;the duck mocks his efforts and swims round the basin. Overwhelmed with confusion he abandons the attempt, ashamed to face the crowd any longer. Then the conjuror takes the bit of bread the child brought with him and uses it as successfully as his own. He takes out the bit of iron before the audience—another laugh at our expense—then with this same bread he attracts the duck as before. He repeats the experiment with a piece of bread cut by a third person in full view of the audience. He does it with his glove, with his finger-tip. Finally he goes into the middle of the room and in the emphatic tones used by such persons he declares that his duck will obey his voice as readily as his hand; he speaks and the duck obeys; he bids him go to the right and he goes, to come back again and he comes. The movement is as ready as the command.The growing applause completes our discomfiture.We slip away unnoticed and shut ourselves up in our room, without relating our successes to everybody as we had expected.

Next day there is a knock at the door. When I open it there is the conjuror, who makes a modest complaint with regard to our conduct. What had he done that we should try to discredit his tricks and deprive him of his livelihood? What is there so wonderful in attracting a duck that we should purchase this honour at the price of an honest man's living? "My word, gentlemen! had I any other trade by which I could earn a living I would not pride myself on this. You may well believe that a man who has spent his life at this miserable trade knows more about it than you who only give your spare time to it. If I did not show you my best tricks at first, it was because one must not be so foolish as to display all one knows at once. I always take care to keep my best tricks for emergencies; and I have plenty more to prevent young folks from meddling. However,I have come, gentlemen, in all kindness, to show you the trick that gave you so much trouble; I only beg you not to use it to my hurt, and to be more discreet in future." He then shows us his apparatus, and to our great surprise we find it is merely a strong magnet in the hand of a boy concealed under the table. The man puts up his things, and after we have offered our thanks and apologies, we try to give him something.He refuses it. "No, gentlemen," says he, "I owe you no gratitude and I will not accept your gift. I leave you in my debt in spite of all, and that is my only revenge.Generosity may be found among all sorts of people,and I earn my pay by doing my tricks not by teaching them."

As he is going he blames me out-right. "I can make excuses for the child," he says, "he sinned in ignorance. But you, sir, should know better. Why did you let him do it? As you are living together and you are older than he, you should look after him and give him good advice. Your experience should be his guide. When he is grown up he will reproach, not only himself, but you, for the faults of his youth."

When he is gone we are greatly downcast. I blame myself for my easy-going ways. I promise the child that another time I will put his interests first and warn him against faults before he falls into them, for the time is coming when our relations will be changed, when the severity of the master must give way to the friendliness of the comrade; this change must come gradually, you must look ahead, and very far ahead.

We go to the fair again the next day to see the trick whose secret we know. We approach our Socrates,the conjuror, with profound respect, we scarcely dare to look him in the face. He overwhelms us with politeness, gives us the best places, and heaps coals of fire on our heads. He goes through his performance as usual, but he lingers affectionately over the duck, and often glances proudly in our direction. We are in the secret, but we do not tell. If my pupil did but open his mouth he would be worthy of death.

There is more meaning than you suspect in this detailed illustration. How many lessons in one! How mortifying are the results of a first impulse towards vanity! Young tutor, watch this first impulse carefully.If you can use it to bring about shame and disgrace,you may be sure it will not recur for many a day.What a fuss you will say. Just so; and all to provide a compass which will enable us to dispense with a meridian!

Having learnt that a magnet acts through other bodies, our next business is to construct a bit of apparatus similar to that shown us. A bare table, a shallow bowl placed on it and filled with water, a duck rather better finished than the first, and so on. We ofte watch the thing and at last we notice that the duck,when at rest, always turns the same way. We follow up this observation; we examine the direction, we find that it is from south to north. Enough! we have found our compass or its equivalent; the study of physics is begun.

There are various regions of the earth, and these regions differ in temperature. The variation is more evident as we approach the poles; all bodies expand with heat and contract with cold; this is best measured in liquids and best of all in spirits; hence the thermometer. The wind strikes the face, then the air is a body, a fluid; we feel it though we cannot see it. I invert a glass in water; the water will not fill it unless you leave a passage for the escape of the air; so air is capable of resistance. Plunge the glass further in the water; the water will encroach on the air-space without filling it entirely; so air yields somewhat to pressure. A ball filled with compressed air bounces better than one filled with anything else; so air is elastic. Raise your arm horizontally from the water when you are lying in your bath; you will feel a terrible weight on it; so air is a heavy body. By establishing an equilibrium between air and other fluids its weight can be measured, hence the barometer, the siphon, the air-gun, and the airpump. All the laws of statics and hydrostatics are discovered by such rough experiments. For none of these would I take the child into a physical cabinet; I dislike that array of instruments and apparatus. The scientific atmosphere destroys science. Either the child is frightened by these instruments or his attention,which should be fixed on their effects, is distracted by their appearance.

We shall make all our apparatus ourselves, and I would not make it beforehand, but having caught a glimpse of the experiment by chance we mean to invent step by step an instrument for its verification. I would rather our apparatus was somewhat clumsy and imperfect, but our ideas clear as to what the apparatus ought to be, and the results to be obtained by means of it. For my first lesson in statics, instead of fetching a balance, I lay a stick across the back of a chair, I measure the two parts when it is balanced; add equal or unequal weights to either end; by pulling or pushing it as required, I find at last that equilibrium is the result of a reciprocal proportion between the amount of the weights and the length of the levers. Thus my little physicist is ready to rectify a balance before ever he sees one.

Undoubtedly the notions of things thus acquired for oneself are clearer and much more convincing than those acquired from the teaching of others; and not only is our reason not accustomed to a slavish submission to authority, but we develop greater ingenuity in discovering relations, connecting ideas and inventing apparatus, than when we merely accept what is given us and allow our minds to be enfeebled by indifference, like the body of a man whose servants always wait on him, dress him and put on his shoes,whose horse carries him, till he loses the use of his limbs. Boileau used to boast that he had taught Racine the art of rhyming with difficulty. Among the many short cuts to science, we badly need some one to teach us the art of learning with difficulty.

The most obvious advantage of these slow and laborious inquiries is this: the scholar, while engaged in speculative studies, is actively using his body,gaining suppleness of limb, and training his hands to labour so that he will be able to make them useful when he is a man. Too much apparatus, designed to guide us in our experiments and to supplement the exactness of our senses, makes us neglect to use those senses. The theodolite makes it unnecessary to estimate the size of angles; the eye which used to judge distances with much precision, trusts to the chain for its measurements; the steel yard dispenses with the need of judging weight by the hand as I used to do. The more ingenious our apparatus, the coarser and more unskilful are our senses. We surround ourselves with tools and fail to use those with which nature has provided every one of us.

But when we devote to the making of these instruments the skill which did instead of them, when for their construction we use the intelligence which enabled us to dispense with them, this is gain not loss,we add art to nature, we gain ingenuity without loss of skill. If instead of making a child stick to his books I employ him in a workshop, his hands work for the development of his mind. While he fancies himself a workman he is becoming a philosopher. Moreover,this exercise has other advantages of which I shall speak later; and you will see how, through philosophy in sport, one may rise to the real duties of man.

I have said already that purely theoretical science is hardly suitable for children, even for children approaching adolescence; but without going far into theoretical physics, take care that all their experiments are connected together by some chain of reasoning, so that they may follow an orderly sequence in the mind,and may be recalled at need; for it is very difficult to remember isolated facts or arguments, when there is no cue for their recall.

In your inquiry into the laws of nature always begin with the commonest and most conspicuous phenomena, and train your scholar not to accept these phenomena as causes but as facts. I take a stone and pretend to place it in the air; I open my hand, the stone falls. I see Emile watching my action and I say, "Why does this stone fall?"

What child will hesitate over this question? None,not even Emile, unless I have taken great pains to teach him not to answer. Every one will say, "The stone falls because it is heavy." "And what do you mean by heavy?" "That which falls." "So the stone falls because it falls?" Here is a poser for my little philosopher. This is his first lesson in systematic physics, and whether he learns physics or no it is a good lesson in common-sense.

As the child develops in intelligence other important considerations require us to be still more careful in our choice of his occupations. As soon as he has sufficient self-knowledge to understand what constitutes his well-being, as soon as he can grasp such far-reaching relations as to judge what is good for him and what is not, then he is able to discern the difference between work and play, and to consider the latter merely as relaxation. The objects of real utility may be introduced into his studies and may lead him to more prolonged attention than he gave to his games. The ever-recurring law of necessity soon teaches a man to do what he does not like, so as to avert evils which he would dislike still more. Such is the use of foresight,and this foresight, well or ill used, is the source of all the wisdom or the wretchedness of mankind.

Every one desires happiness, but to secure it he must know what happiness is. For the natural man happiness is as simple as his life; it consists in the absence of pain; health, freedom, the necessaries of life are its elements. The happiness of the moral man is another matter, but it does not concern us at present.I cannot repeat too often that it is only objects which can be perceived by the senses which can have any interest for children, especially children whose vanity has not been stimulated nor their minds corrupted by social conventions.

As soon as they foresee their needs before they feel them, their intelligence has made a great step forward, they are beginning to know the value of time. They must then be trained to devote this time to useful purposes, but this usefulness should be such as they can readily perceive and should be within the reach of their age and experience. What concerns the moral order and the customs of society should not yet be given them, for they are not in a condition to understand it. It is folly to expect them to attend to things vaguely described as good for them, when they do not know what this good is, things which they are assured will be to their advantage when they are grown up, though for the present they take no interest in this so-called advantage, which they are unable to understand.