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Some Thoughts Concerning Education - by John Locke, 1693

§ 178    At the same time that he is learning French and Latin, a child, as has been said, may also be entered in arithmetic, geography, chronology, history, and geometry, too. For if these be taught him in French or Latin, when he begins once to understand either of these tongues, he will get a knowledge in these sciences, and the language to boot.

Geography  Geography, I think, should be begun with; for the learning of the figure of the globe, the situation and boundaries of the four parts of the world, and that of particular kingdoms and countries, being only an exercise of the eyes and memory, a child with pleasure will learn and retain them: and this is so certain, that I now live in the house with a child whom his mother has so well instructed this way in geography, that he knew the limits of the four parts of the world, could readily point, being asked, to any country upon the globe, or any county in the map of England; knew all the great rivers, promontories, straits, and bays in the world, and could find the longitude and latitude of any place, before he was six years old. These things that he will thus learn by sight, and have by rote in his memory, are not all, I confess, that he is to learn upon the globes. But yet it is a good step and preparation to it, and will make the remainder much easier, when his judgment is grown ripe enough for it: besides that, it gets so much time now; and by the pleasure of knowing things, leads him on insensibly to the gaining of languages.

§ 179    Arithmetic.  When he has the natural parts of the globe well fixed in his memory, it may then be time to begin arithmetic. By the natural parts of the globe, I mean the several positions of the parts of the earth and sea, under different names and distinctions of countries; not coming yet to those artificial and imaginary lines, which have been invented, and are only supposed, for the better improvement of that science.

§ 180    Arithmetic is the easiest, and consequently the first sort of abstract reasoning, which the mind commonly bears, or accustoms itself to: and is of so general use in all parts of life and business, that scarce any thing is to be done without it. This is certain, a man cannot have too much of it, nor too perfectly; he should therefore begin to be exercised in counting, as soon, and as far, as he is capable of it; and do something in it every day, till he is master of the art of numbers. When he understands addition and subtraction, he may then be advanced farther in geography, and after he is acquainted with the poles, zones, parallel circles, and meridians, be taught longitude and latitude, and the use of maps. Which when he can readily do, he may then be entered in the celestial; and there going over all the circles again, with a more particular observation of the ecliptic or zodiac, to fix them all very clearly and distinctly in his mind, he may be taught the figure and position of the several constellations which may be showed him first upon the globe, and then in the heavens.

Astronomy.  When that is done, and he knows pretty well the constellations of this our hemisphere, it may be time to give him some notions of this our planetary world, and to that purpose it may not be amiss to make him a draught of the Copernican system; and therein explain to him the situation of the planets, their respective distances from the sun, the centre of their revolutions. This will prepare him to understand the motion and theory of the planets, the most easy and natural way. For since astronomers no longer doubt of the motion of the planets about the sun, it is fit he should proceed upon that hypothesis, which is not only the simplest and least perplexing for a learner, but also the likeliest to be true in itself. But in this, as in all other parts of instruction, great care must be taken with children, to begin with that which is plain and simple, and to teach them as little as can be at once, and settle that well in their heads, before you proceed to the next, or anything new in that science. Give them first one simple idea, and see that they take it right, and perfectly comprehend it, before you go any farther; and then add some other simple idea, which lies next in your way to what you aim it; and so proceeding by gentle and insensible steps, children, without confusion and amazement, will have their understandings opened, and their thoughts extended, farther than could have been expected. And when any one has learned any thing himself, there is no such way to fix it in his memory, and to encourage him to go on as to set him to teach it others.

§ 181    Geometry.  When he has once got such an acquaintance with the globes, as is above-mentioned, he may be fit to be tried a little in geometry; wherein I think the six first books of Euclid enough for him to be taught. For I am in some doubt, whether more to a man of business be necessary or useful; at least if he have a genius and inclination to it, being entered so far by his tutor, he will be able to go on of himself, without a teacher. The globes therefore must he studied, and that diligently, and, I think, may be begun betimes, if the tutor will but be careful to distinguish, what the child is capable of knowing, and what not; for which this may be a rule, that perhaps will go a pretty way, viz., That children may be taught any thing that falls under their senses, especially their sight, as far as their memories only are exercised: and thus a child very young may learn, which is the equator, which the meridian, etc., which Europe, and which England upon the globes, as soon almost as he knows the rooms of the house he lives in; if care be taken not to teach him too much at once, nor to set him upon a new part till that, which he is upon, be perfectly learned and fixed in his memory.

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