Hints for exercises.

simply in order to forget, but to learn in order to remember "We are learned," said he, "not so far as we

for ever.

answered without difficulty.)

The ear, the voice, the hand, should ail be practised on each lesson. When the construing is known, transcription of the German is not by any means to be despised. A good variety of transcription is, for the teacher to write the German clause by clause on the black-board, and rub out each clause before the pupils begin to write it. Then a known piece may be prepared for dictation. In reading this as dictation, the master may introduce small variations, to teach his pupils to keep their ears open. He may, as another exercise, read the German aloud, and stop here and there for the boys to give the English of the last sentence read; or he may read to them either the exact German in the book or small variations on it, and make the pupils translate viva voce, clause by clause. He may then ask questions on the piece in German and require answers in English.

For exercises, there are many devices by which the pupil may be trained to observation, and also be confirmed in his knowledge of back lessons. The great teacher, F. A. Wolf, used to make his own children ascertain how many times such and such a word occurred in such and such pages. As M. Bréal says, children are collectors by nature; and, acting on this hint, we might say, “ Write in column all the dative cases on pages a to c, and give the English and the corresponding nominatives." Or, "Copy from those pages all the accusative prepositions with the accusatives after them." Or, "Write out the past participles, with their infinitives." Or, "Translate such and such sentences, and explain them with reference to the context." Or, questions may be asked on the subject-matter of the book. There is no end to the possible varieties of such exercises.

As soon as they get any feeling of the language, the pupils should learn by heart some easy poetry in it. I should recommend their learn. ing the English of the piece first, and then getting the German vivâ você from the teacher. To quicken the German in their minds, I think it is well to give them in addition a German prose version, using almost the same words. Variations of the more important sentences should be learnt at the same time.

In all these suggestions you will see what I am aiming at. I wish

The good of having learnt.

have learned, but only so far as we remember." He seems, indeed, almost to ignore the fact that the act of learning serves other purposes than that of making learned, and to assert that to forget is the same as never to have learned, which is a palpable error. We necessarily forget much that passes through our minds, and yet its effect remains. All grown people have arrived at some opinions, convictions, knowledge, but they cannot call to mind every spot they trod on in the road thither. When we have read a great history, say, or travelled through a fresh country, we have gained more than the number of facts we happen to remember. The mind seems to have formed an acquaintance with that history or that country, which is something different from the mere acquisition of facts. Moreover, our interests, as well as our ideas, may long survive the memory of the facts which originally started them. We are told that one of the old judges, when a barrister objected to some dictum of his, put him down by the assertion, "Sir, I have forgotten more law than ever you read." If he wished to make the amount forgotten a measure of the amount remembered, this was certainly fallacious, as the ratio between the two is not a constant quantity. But he may have meant that this extensive reading had left its result, and that he could see things from more points of view than the less travelled legal vision of his opponent. That power acquired by learning may also last longer than the knowledge of the thing learned is sufficiently obvious. So the advantages derived from having learnt a thing are not entirely lost when the thing itself is forgotten.*

the learner to get a feeling of, and a power over, the main words of the language and the machinery in which they are employed.

I append in a note a passage from the old edition of this book re

The old Cambridge "mathematical man."

§ 16. But the reflection by no means justifies the dis graceful waste of memory which goes on in most school

ferring to the Cambridge man of forty years ago. "The typical Cambridge man studies mathematics, not because he likes mathematics, or derives any pleasure from the perception of mathematical truth, still less with the notion of ever using his knowledge; but either because, if he is "a good man," he hopes for a fellowship, or because, if he cannot aspire so high, he considers reading the thing to do, and finds a satisfaction in mental effort just as he does in a constitutional to the Gogmagogs. When such a student takes his degree, he is by no means a highly cultivated man; but he is not the sort of man we can despise for all that. He has in him, to use one of his own metaphors, a considerable amount of force, which may be applied in any direction. He has great power of concentration and sustained mental effort even on subjects which are distasteful to him. In other words, his mind is under the control of his will, and he can bring it to bear promptly and vigorously on anything put before him. He will sometimes be half through a piece of work, while an average Oxonian (as we Cambridge men conceive of him at least) is thinking about beginning. But his training has taught him to value mental force without teaching him to care about its application. Perhaps he has been working at the gymnasium, and has at length succeeded in "putting up" a hundredweight. In learning to do this, he has been acquiring strength for its own sake. He does not want to put up hundredweights, but simply to be able to put them up, and his reward is the consciousness of power. Now the tripos is a kind of competitive examination in putting up weights The student who has been training for it, has acquired considerable mental vigour, and when he has put up his weight he falls back on the consciousness of strength which he seldom thinks of using. Having put up the heavier, he despises the lighter weights. He rather prides himself on his ignorance of such things as history, modern languages, and English literature. He" can get those up in a few evenings," whenever he wants them. He reminds me, indeed, of a tradesman who has worked hard to have a large balance at his banker's. This done, he is satisfied. He has neither taste nor desire for the things which make wealth valuable; but when he sees other people in the enjoyment of

Waste of memory at school.

rooms. Much is learnt which, for want of the necessary repetition, will soon be lost again, besides much that would be valueless if remembered. The thing to aim at is giving "useful knowledge," but making the memory a stcre house of such facts as are good material for the other powers of the mind to work with; and that the facts may serve this purpose they must be such as the mind can thoroughly grasp and handle, and such as can be connected together. To instruct is instruere, “to put together in order, to build;" it is not cramming the memory with facts without connexion, and, as Herbert Spencer calls them, unorganisable. And yet a great deal of our children's memory is wasted in storing facts of this kind, which can never form part of any organism. We do not teach them geography (earth know ledge, as the Germans call it), but the names of places. Our "history" is a similar, though disconnected study. We leave our children ignorant of the land, but insist on their getting up the "landmarks." And, perhaps, from a latent perception of the uselessness of such work, neither teachers nor scholars ever think of these things as learnt to be remembered. They are indeed got up, as Schuppius says of the Logic of his day, in spem futuræ oblivionis. Latin grammar is gone through again and again, and a boy feels that the sooner he gets it into his head, the better it will be for him; but who expects that the lists of geographical and historical names which are learnt one half-year, will be remembered the next? I have seen it asserted, that when a boy leaves school, he has already forgotten nine-tenths of what he has been taught, and I dare say that estimate is quite within the mark.

them, he hugs himself with the corsciousness that he can write a cheque for such things whenever he pleases."

How to stop this waste.

§ 17. By adopting the principles of Jacotot, we avoid a great deal of this waste. We give some thorough knowledge, with which fresh knowledge may be connected. And it will then be found that perfect familiarity with a subject is something beyond the mere understanding it and being able, with difficulty, to reproduce what we have learned. By thus going over the same thing again and again, we acquire a thorough command over our knowledge; and the feeling perfectly at home, even within narrow borders, gives a consciousness of strength. An old adage tells us that the Jack-of-all-trades is master of none; but the master of one trade will have no difficulty in extending his insight and capacity beyond it. To use an illustration, which is of course an illustration merely, we should kindle knowledge in children, like fire in a grate. A stupid servant, with a small quantity of wood, spreads it over the whole grate. It blazes away, goes out, and is simply wasted. Another, who is wiser or more experienced, kindles the whole of the wood at one spot, and the fire, thus concentrated, extends in all directions. Similarly we should concentrate the beginnings of knowledge, and although we could not expect to make much show for a time, we might be sure that after a bit the fire would extend, almost of its own accord.*

18. From Joseph Payne I take Jacotot's directions for carrying out the rule, "Il faut apprendre quelque chose, et y rapporter tout le reste."

* On this interesting subject I will quote three men who said nothing inepte-De Morgan, Helps, and the first Sir James Stephen. De Morgan, speaking of Jacotot's plan, wrote :— "There is much truth in the assertion that new knowledge hooks on easily to a little of the old thoroughly mastered. The day is coming when it will be found out that crammed erudition got up for examination, does not cast out any