The Teacher

CHAPTER III. INSTRUCTION.

There are three kinds of human knowledge which stand strikingly distinct from all the rest. They lie at the foundation. They constitute the roots of the tree. In other words, they are the means, by which all other knowledge is acquired. I need not say, that I mean, Reading, Writing, and Calculation.

Teachers do not perhaps always consider, how entirely and essentially distinct these three are from all the rest. They are arts; the acquisition of them is not to be considered as knowledge, so much as the means, by which knowledge may be obtained. A child, who is studying Geography, or History, or Natural Science, is learning facts,-gaining information; on the other hand, the one who is learning to write, or to read, or to calculate, may be adding little or nothing to his stock of knowledge. He is acquiring skill, which, at some future time, he may make the means of increasing his knowledge, to any extent.

This distinction ought to be kept constantly in view, and the teacher should feel that these three fundamental branches stand by themselves, and stand first in importance. I do not mean to undervalue the others, but only to insist upon the superior value and importance of these. Teaching a pupil to read, before he enters upon the active business of life, is like giving a new settler an axe, as he goes to seek his new home in the forest. Teaching him a lesson in history, is, on the other hand, only cutting down a tree or two for him. A knowledge of natural history, is like a few bushels of grain, gratuitously placed in his barn; but the art of ready reckoning, is the plough, which will remain by him for years, and help him to draw out from the soil an annual treasure.

The great object, then, of the common schools in our country, is to teach the whole population to read, to write, and to calculate. In fact, so essential is it, that the accomplishment of these objects should be secured, that it is even a question whether common schools should not be confined to them. I say it is a question, for it is sometimes made so, though public opinion has decided, that some portion of attention, at least, should be paid to the acquisition of additional knowledge. But after all, the amount of knowledge, which is actually acquired at schools, is very small. It must be very small. The true policy is, to aim at making all, good readers, writers, and calculators, and to consider the other studies of the school important, chiefly as practice, in turning these arts to useful account. In other words, the scholars should be taught these arts, thoroughly, first of all, and in the other studies, the main design should be to show them how to use, and interest them in using, the arts they have thus acquired.

A great many teachers feel a much stronger interest in the one or two scholars they may have, in Surveying, or in Latin, than they do in the large classes, in the elementary branches, which fill the school. But a moment's reflection will show, that such a preference is founded on a very mistaken view. Leading forward one or two minds, from step to step, in an advanced study, is certainly far inferior, in real dignity and importance, to opening all the stores of written knowledge, to fifty or a hundred. The man who neglects the interests of his school, in these great branches, to devote his time to two or three, or half a dozen older scholars, is unjust both to his employers and to himself.

It is the duty, therefore, of every teacher, who commences a common district school, for a single season, to make, when he commences, an estimate, of the state of his pupils, in reference to these three branches. How do they all write? How do they all read? How do they calculate? It would be well if he would make a careful examination of the school, in this respect. Let them all write a specimen. Let all read; and let him make a memorandum of the manner, noticing how many read fluently, how many with difficulty, how many know only their letters, and how many are to be taught these. Let him ascertain also, what progress they have made in Arithmetic,-how many can readily perform the elementary processes, and what number need instruction in these. After thus surveying the ground, let him form his plan, and lay out his whole strength in carrying forward, as rapidly as possible, the whole school, in these studies. By this means he is acting, most directly and powerfully, on the intelligence of the whole future community in that place. He is opening to fifty or a hundred minds, stores of knowledge, which they will go on exploring, for years to come. What a descent now from such a work as this, to the mere hearing of the recitation of half a dozen boys in Surveying!

I repeat it, that a thorough and enlightened survey of the whole school should be taken, and plans formed for elevating the whole mass, in those great branches of knowledge, which are to be of immediate practical use to them in future life.

If the school is of higher order, the teacher should, in the same manner, before he forms his plans, consider well what are the great objects which he has to accomplish. He should ascertain what is the existing state of his school, both as to knowledge and character;-how long, generally, his pupils are to remain under his care,-what are to be their future stations and conditions in life, and what objects he can reasonably hope to effect for them, while they remain under his influence. By means of this forethought, and consideration, he will be enabled to work understandingly.

It is desirable, too, that what I have recommended, in reference to the whole school, should be done with each individual. Ascertain, (by other means however than formal examination,) to what stage his education has advanced, and deliberately consider what objects you can reasonably expect to effect for him, while he remains under your care. You cannot indeed always form your plans to suit, so exactly, your general views in regard to the school and to individuals, as you could wish. But these general views will, in a thousand cases, modify your plans, or affect in a greater or less degree, all your arrangements. They will keep you to a steady purpose, and your work will go on far more systematically and regularly, than it would, if, as in fact many teachers do, you were to come headlong into your school, take things just as you find them, and carry them forward at random, without end or aim.

This survey of your field being made, you are prepared to commence definite operations, and the great difficulty, in carrying your plans into effect, is, how to act more efficiently on the greatest numbers at a time. The whole business of public instruction, if it goes on at all, must go on by the teacher's skill in multiplying his power, by acting on numbers at once. In most books on education, we are taught, almost exclusively, how to operate on the individual. It is the error into which theoretic writers almost always fall. We meet, in every periodical, and in every treatise, and in fact, in almost every conversation on the subject, with remarks, which sound very well by the fire-side, but they are totally inefficient and useless in school, from their being apparently based upon the supposition, that the teacher has but one pupil to attend to at a time. The great question in the management of schools, is not, how you can take one scholar, and lead him forward, most rapidly, in a prescribed course, but how you can classify and arrange numbers, comprising every possible variety, both as to knowledge and capacity, so as to carry them all forward effectually together.

The extent to which a teacher may multiply his power, by acting on numbers at a time, is very great. In order to estimate it, we must consider carefully what it is, when carried to the greatest extent, to which it is capable of being carried, under the most favorable circumstances. Now it is possible for a teacher to speak so as to be easily heard by three hundred persons, and three hundred pupils can be easily so seated, as to see his illustrations or diagrams. Now suppose that three hundred pupils, all ignorant of the method of reducing fractions to a common denominator, and yet all old enough to learn, are collected in one room. Suppose they are all attentive and desirous of learning, it is very plain that the process may be explained to the whole at once, so that half an hour spent in that exercise, would enable a very large proportion of them to understand the subject. So, if a teacher is explaining to a class in Grammar, the difference between a noun and verb, the explanation would do as well for several hundred, as for the dozen who constitute the class, if arrangements could only be made to have the hundreds hear it. But there are, perhaps, only a hundred in the school, and of these a large part understand already the point to be explained, and another large part are too young to attend to it. I wish the object of these remarks not to be misunderstood. I do not recommend the attempt to teach on so extensive a scale; I admit that it is impracticable; I only mean to show in what the impracticability consists, namely, in the difficulty of making such arrangements as to derive the full benefit from the instructions rendered. They are, in the nature of things, available to the extent I have represented, but, in actual practice, the full benefit cannot be derived. Now, so far as we thus fall short of this full benefit, so far there is, of course, waste; and it is difficult or impossible to make such arrangements as will avoid the waste, in this manner, of a large portion of every effort, which the teacher makes.

A very small class instructed by an able teacher, is like a factory of a hundred spindles, with a water-wheel of power sufficient for a thousand. In such a case, even if the owner, from want of capital, or any other cause, cannot add the other nine hundred, he ought to know how much of his power is in fact unemployed, and make arrangements to bring it into useful exercise, as soon as he can. The teacher in the same manner, should understand what is the full beneficial effect, which it is possible, in theory, to derive from his instructions. He should understand, too, that just so far as he falls short of this full effect, there is waste. It may be unavoidable; part of it unquestionably is, like the friction of machinery, unavoidable. Still, it is waste; and it ought to be so understood, that by the gradual perfection of the machinery, it may be more and more fully prevented.

Always bear in mind then, when you are devoting your time to two or three individuals in a class, that you are losing a very large part of your labor. Your instructions are conducive to good effect, only to the one tenth or one twentieth of the extent, to which, under more favorable circumstances, they might be made available. And though you cannot always avoid this loss, you ought always to be aware of it, and so to shape your measures, as to diminish it as much as possible.

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We come now to consider the particular measures to be adopted, in giving instruction.

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The objects which are to be secured, in the management of classes, are twofold,

1. Recitation.

2. Instruction.

These two objects are, it is plain, entirely distinct. Under the latter, is included all the explanation, and assistance, and additional information, which the teacher may give his pupils, and, under the former, such an examination of individuals, as is necessary to secure their careful attention to their lessons. It is unsafe to neglect either of these points. If the class meetings are mere recitations, they soon become dull and mechanical: the pupils generally take little interest in their studies, and imbibe no literary spirit. Their intellectual progress will, accordingly, suddenly cease, the moment they leave school, and cease to be called upon to recite lessons. On the other hand, if instruction is all that is aimed at, and recitation, (by which I mean, as above explained, such an examination of individuals as is necessary to ascertain that they have faithfully performed the tasks assigned,) is neglected, the exercise soon becomes not much more than a lecture, to which those, and those only, will attend, who please.

The business, therefore, of a thorough examination of the class must not be omitted. I do not mean, that each individual scholar must, every day, be examined; but simply that the teacher must, in some way or other, satisfy himself, by reasonable evidence, that the whole class are really prepared. A great deal of ingenuity may be exercised, in contriving means for effecting this object, in the shortest possible time. I know of no part of the field of a teacher's labors, which may be more facilitated, by a little ingenuity, than this.

One teacher, for instance, has a spelling lesson to hear. He begins at the head of the line, and putting one word to each boy, goes regularly down, each successive pupil calculating the chances whether a word, which he can accidentally spell, will or will not come to him. If he spells it, the teacher cannot tell whether he is prepared or not. That word is only one among fifty, constituting the lesson. If he misses it, the teacher cannot decide that he was unprepared. It might have been a single accidental error.

Another teacher, hearing the same lesson, requests the boys to bring their slates, and as he dictates the words, one after another, requires all to write them. After they are all written, he calls upon the pupils to spell them aloud as they have written them, simultaneously, pausing a moment after each, to give those who are wrong, an opportunity to indicate it, by some mark opposite the word misspelled. They all count the number of errors and report them. He passes down the class, glancing his eye at the work of each one, to see that all is right, noticing particularly those slates, which, from the character of the boys, need a more careful inspection. A teacher, who had never tried this experiment, would be surprised at the rapidity with which such work will be done by a class, after a little practice.

Now how different are these two methods, in their actual results! In the latter case, the whole class are thoroughly examined. In the former, not a single member of it, is. Let me not be understood to recommend exactly this method of teaching spelling, as the best one to be adopted, in all cases. I only bring it forward as an illustration of the idea, that a little machinery, a little ingenuity, in contriving ways of acting on the whole, rather than on individuals, will very much promote the teacher's designs.

In order to facilitate such plans, it is highly desirable that the classes should be trained to military precision and exactness in these manipulations. What I mean by this, may perhaps be best illustrated, by describing a case: it will show, in another branch, how much will be gained by acting upon numbers at once, instead of upon each individual in succession.

Imagine, then, that a teacher requested all the pupils of his school, who could write, to take out their slates, at the hour for a general exercise. As soon as the first bustle of opening and shutting the desks was over, he looked around the room, and saw some ruling lines across their slates, others wiping them all over on both sides, with sponges, others scribbling, or writing, or making figures.

"All those," says he, with a pleasant tone and look, "who have taken out any thing besides slates, may rise."

Several, in various parts of the room, stood up.

"All those, who have written any thing since they took out their slates, may rise too, and those who have wiped their slates."

When all were up, he said to them, though not with a frown or a scowl, as if they had committed some very great offence;

"Suppose a company of soldiers should be ordered to form a line, and instead of simply obeying that order, they should all set at work, each in his own way, doing something else. One man, at one end of the line, begins to load and fire his gun; another takes out his knapsack, and begins to eat his luncheon; a third amuses himself by going as fast as possible through the exercise; and another still, begins to march about, hither and thither, facing to the right and left, and performing all the evolutions he can think of. What should you say to such a company as that?"

The boys laughed.

"It is better," said the teacher, "when numbers are acting under the direction of one, that they should all act exactly together. In this way, we advance much faster, than we otherwise should. Be careful therefore to do exactly what I command, and nothing more."

"Provide a place, on your slates, large enough to write a single line," added the teacher, in a distinct voice. I print his orders in italics, and his remarks and explanations in Roman letter.

"Prepare to write."

"I mean by this," he continued, "that you place your slates before you, with your pencils at the place where you are to begin, so that all may commence precisely at the same instant."

The teacher who tries such an experiment as this, will find, at such a juncture, an expression of fixed and pleased attention upon every countenance in school. All will be intent; all will be interested. Boys love order and system, and acting in concert; and they will obey, with great alacrity, such commands as these, if they are good-humoredly, though decidedly expressed.

The teacher observed in one part of the room, a hand raised, indicating that the boy wished to speak to him. He gave him liberty by pronouncing his name.

"I have no pencil;" said the boy.

A dozen hands, all around him, were immediately seen fumbling in pockets and desks, and, in a few minutes, several pencils were reached out for his acceptance.

The boy looked at the pencils, and then at the teacher; he did not exactly know, whether he was to take one or not.

"All those boys," said the teacher, pleasantly, "who have taken out pencils, may rise."

"Have these boys done right, or wrong?"

"Right;" "Wrong;" "Right;" answered their companions, variously.

"Their motive was to help their classmate out of his difficulties; that is a good feeling, certainly."

"Yes sir; right;" "Right."

"But I thought you promised me a moment ago," replied the teacher, "not to do any thing, unless I commanded it. Did I ask for pencils?"

A pause.

"I do not blame these boys at all, in this case, still it is better to adhere rigidly to the principle, of exact obedience, when numbers are acting together. I thank them, therefore, for being so ready to assist a companion, but they must put their pencils away, as they were taken out without orders."

Now such a dialogue as this, if the teacher speaks in a good-humored, though decided manner, would be universally well received, in any school. Whenever strictness of discipline is unpopular, it is rendered so, simply by the ill-humored and ill-judged means, by which it is attempted to be introduced. But all children will love strict discipline, if it is pleasantly, though firmly maintained. It is a great, though very prevalent mistake, to imagine, that boys and girls like a lax and inefficient government, and dislike the pressure of steady control. What they dislike is, sour looks and irritating language, and they therefore very naturally dislike every thing introduced or sustained by their means. If, however, exactness and precision in all the operations of a class and of the school, are introduced and enforced, in the proper manner, i. e., by a firm, but mild and good-humored authority, scholars will universally be pleased with them. They like to see the uniform appearance,-the straight line,-the simultaneous movement. They like to feel the operation of system, and to realize, while they are at the school room, that they form a community, governed by fixed and steady laws, firmly but pleasantly administered. On the other hand, laxity of discipline, and the disorder which will result from it, will only lead the pupils to contemn their teacher, and to hate their school.

By introducing and maintaining such a discipline as I have described, great facilities will be secured for examining the classes. For example, to take a case different from the one before described; let us suppose that a class have been performing a number of examples in Addition. They come together to the recitation, and under one mode of managing classes, the teacher is immediately beset, by a number of the pupils, with excuses. One had no slate; another was absent when the lesson was assigned; a third performed the work, but it got rubbed out; and a fourth did not know what was to be done. The teacher stops to hear all these, and to talk about them; fretted himself, and fretting the delinquents by his impatient remarks. The rest of the class are waiting, and having nothing good to do, the temptation is almost irresistible to do something bad. One boy is drawing pictures on his slate, to make his neighbors laugh; another is whispering, and two more are at play. The disorder continues, while the teacher goes round examining slate after slate, his whole attention being engrossed by each individual, as the pupils come to him successively, while the rest are left to themselves, interrupted only by an occasional harsh or even angry, but utterly useless rebuke from him.

But under another mode of managing classes and schools, a very different result would be produced.

A boy approaches the teacher to render an excuse, the teacher replies, addressing himself, however, to the whole class, "I shall give all an opportunity to offer their excuses presently. No one must come till he is called."

The class then regularly take their places in the recitation seats; the prepared and unprepared together. The following commands are given and obeyed, promptly. They are spoken pleasantly, but still in the tone of command.

"The class may rise."

"All those, that are not fully prepared with this lesson, may sit."

A number sit, and others, doubtful whether they are prepared or not, or thinking that there is something peculiar in their cases, which they wish to state, raise their hands, or make any other signal which is customary to indicate a wish to speak. Such a signal ought always to be agreed upon, and understood in school.

The teacher shakes his head; saying "I will hear you presently. If there is, on any account whatever, any doubt whether you are prepared, you must sit."

"Those that are standing may read their answers, to No. 1. Unit figure?"

Boys. "Five."

Teacher. "Tens?"

B. "Six."

T. "Hundreds?"

B. "Seven."

While these numbers are thus reading, the teacher looks at the boys, and can easily see whether any are not reading their own answers, but only following the rest. If they have been trained to speak exactly together, his ear will also at once detect any erroneous answer, which any one may give. He takes down the figures given by the majority, on his own slate, and reads them aloud.

"This is the answer obtained by the majority: it is, undoubtedly right. Those, who have different answers may sit."

These directions, if understood and obeyed, would divide the class evidently into two portions. Those standing, have their work done, and done correctly, and those sitting, have some excuse or error to be examined. A new lesson may now be assigned, and the first portion may be dismissed; which, in a well regulated school, will be two-thirds of the class. Their slates may be slightly examined, as they pass by the teacher, on their way to their seats, to see that all is fair; but it will be safe to take it for granted, that a result, in which a majority agree, will be right. Truth is consistent with itself, but error, in such a case, never is. This, the teacher can, at any time, show, by comparing the answers that are wrong; they will always be found, not only to differ from the correct result, but to contradict each other.

The teacher may now, if be pleases, after the majority of the class have gone, hear the reasons of those who were unprepared, and look for the errors of those whose work was incorrect; but it is better to spend as little time as possible, in such a way. If a scholar is not prepared, it is not of much consequence, whether it is because he forgot his book, or mistook the lesson; or if it is ascertained that his answer is incorrect, it is, ordinarily, a mere waste of time, to search for the particular error.

"I have looked over my work, sir," says the boy, perhaps, "and I cannot find where it is wrong." He means by it, that he does not believe that it is wrong.

"It is no matter if you cannot," would be the proper reply, "since it certainly is wrong; you have made a mistake in adding, somewhere, but it is not worth while for me to spend two or three minutes apiece with all of you, to ascertain where. Try to be careful next time."

The cases of those who are unprepared at a recitation, ought, by no means, to be passed by, unnoticed, although it would be unwise to spend much time in examining each, in detail.

"It is not of much consequence," the teacher might say, "whether you have good excuses, or bad, so long as you are not prepared. In future life, you will certainly be unsuccessful, if you fail, no matter for what reason, to discharge the duties which devolve upon you. A carpenter, for instance, would certainly lose his work, if he should not perform it faithfully, and in season. Excuses, no matter how reasonable, will do him little good. So in this school. I want good recitations, not good excuses. I hope every one will be prepared to-morrow."

It is not probable, however, that every one would be prepared the next day, in such a case; but, by acting steadily on these principles, the number of delinquencies would be so much diminished, that the very few which should be left, could easily be examined in detail, and the remedies applied.

Simultaneous recitation, by which I mean the practice of addressing a question to all the class, to be answered by all together, is a practice, which has been for some years rapidly extending in our schools, and, if adopted with proper limits and restrictions, is attended with great advantage. The teacher must guard against some dangers, however, which will be likely to attend it.

1. Some will answer very eagerly, instantly after the question is completed. They wish to show their superior readiness. Let the teacher mention this, expose, kindly, the motive which leads to it, and tell them it is as irregular to answer before the rest, as after them.

2. Some will defer their answers, until they can catch those of their comrades, for a guide. Let the teacher mention this fault, expose the motive which leads to it, and tell them that, if they do not answer independently, and at once, they had better not answer at all.

3. Some will not answer at all. The teacher can tell by looking around the class who do not, for they cannot counterfeit the proper motion of the lips, with promptness and decision, unless they know what the answer is to be. He ought occasionally to say to such an one, "I perceive you do not answer;" and ask him questions individually.

4. In some cases, there is danger of confusion in the answers, from the fact that the question may be of such a nature, that the answer is long, and may, by different individuals, be differently expressed. This evil must be guarded against, by so shaping the question, as to admit of a reply in a single word. In reading large numbers, for example, each figure may be called for by itself, or they may be given one after another, the pupils keeping exact time. When it is desirable to ask a question to which the answer is necessarily long, it may be addressed to an individual, or the whole class may write their replies, which may then be read in succession.

In a great many cases where simultaneous answering is practised, after a short time, the evils above specified are allowed to grow, until at last some half dozen bright members of a class answer for all, the rest dragging after them, echoing their replies, or ceasing to take any interest in an exercise, which brings no personal and individual responsibility upon them. To prevent this the teacher should exercise double vigilance, at such a time. He should often address questions to individuals alone, especially to those most likely to be inattentive and careless, and guard against the ingress of every abuse, which might, without close vigilance, appear.

With these cautions, the method here alluded to will be found to be of very great advantage in many studies; for example, all the arithmetical tables may be recited in this way; words may be spelled, answers to sums given; columns of figures added, or numbers multiplied; and many questions in History, Geography, and other miscellaneous studies, answered, especially the general questions asked for the purpose of a review.

But besides being useful as a mode of examination, this plan of answering questions simultaneously, is a very important means of fixing in the mind, any facts, which the teacher may communicate to his pupils. If, for instance, he says some day to a class, that Vasco de Gama was the discoverer of the passage round the Cape of Good Hope, and leaves it here, in a few days, not one in twenty, will recollect the name. But let him call upon them all to spell it, simultaneously, and then to pronounce it distinctly, three or four times in concert, and the word will be very strongly impressed upon the mind. The reflecting teacher will find a thousand cases, in the instruction of his classes, and in his general exercises, in the school, in which this principle will be of great utility. It is universal in its application. What we say, we fix by the very act of saying it, in the mind. Hence reading aloud, though a slower, is a far more thorough method, than reading silently; and it is better, in almost all cases, whether in the family, or in sabbath, or common schools, when general instructions are given, to have the leading points fixed in the mind, by questions, answered simultaneously.

But we are wandering a little from our subject; which is, in this part of our chapter, the methods of examining a class, not of giving or fixing instructions.

Another mode of examining classes, which it is important to describe, consists in requiring written answers to the questions asked. The form and manner, in which this plan may be adopted, is various. The class may bring their slates to the recitation, and the teacher may propose questions successively, the answers to which all the class may write, numbering them carefully. After a dozen answers are written, the teacher may call, at random, for them; or he may repeat a question, and ask each pupil to read the answer he had written; or he may examine the slates. Perhaps this method may be very successfully employed in reviews, by dictating to the class, a list of questions, relating to the ground they have gone over, for a week, and to which they are to prepare answers, written out at length, and to be brought in at the next exercise. This method may be made more formal still, by requiring a class to write a full and regular abstract of all they have learned, during a specified time. The practice of thus reducing to writing what has been learned, will be attended with many advantages, so obvious that they need not be described.

It will be perceived that three methods of examining classes have now been named, and these will afford the teacher the means of introducing a very great variety, in his mode of conducting his recitations, while he still carries his class forward steadily in their prescribed course. Each is attended with its peculiar advantages. The single replies, coming from individuals specially addressed, are more rigid, and more to be relied upon;-but they consume a great deal of time, and while one is questioned, it requires much skill, to keep up interest in the rest. The simultaneous answers of a class awaken more general interest, but it is difficult, without special care, to secure, by this means, a thorough examination of all. The written replies, are more thorough, but they require more time, and attention, and while they habituate the pupil to express his thoughts in writing, they would, if exclusively adopted, fail to accustom him to an equally important practice, that of the oral communication of his thoughts. A constant variety, of which these three methods should be the elements, is unquestionably the best mode. We not only, by this means, secure in a great degree the advantages which each is fitted to produce, but we gain, also, the additional advantage and interest of variety.

By these, and perhaps by other means, it is the duty of the teacher to satisfy himself that his pupils are really attentive to their duties. It is not perhaps necessary, that every individual should be, every day, minutely examined; this is, in many cases, impossible. But the system of examination should be so framed, and so administered, as to be daily felt by all, and to bring upon every one, a daily responsibility.

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We come now to consider the second general head, which was to be discussed in this chapter.

The study of books alone, is insufficient to give knowledge to the young. In the first stage, learning to read, a book is of no use whatever, without the voice of the living teacher. The child cannot take a step alone. As the pupil, however, advances in his course, his dependence upon his teacher for guidance and help, continually diminishes, until, at last, the scholar sits in his solitary study, with no companion but his books, and desiring, for a solution of every difficulty, nothing but a larger library. In schools, however, the pupils have made so little progress in this course, that they all need more or less of this oral assistance. Difficulties must be explained; questions must be answered; the path must be smoothed, and the way pointed out, by a guide, who has travelled it before, or it will be impossible for the pupil to go on. This is the part of our subject, which we now approach.

The great principle which is to guide the teacher, in this part of his duty, is this; Assist your pupils, in such a way, as to lead them, as soon as possible, to do without assistance. This is fundamental. In a short time they will be away from your reach; they will have no teacher to consult; and unless you teach them how to understand books themselves, they must necessarily stop suddenly in their course, the moment you cease to help them forward. I shall proceed, therefore, to consider the subject, in the following plan:-

1. Means of exciting interest in study.

2. The kind and degree of assistance to be rendered.

3. Miscellaneous suggestions.

1. Interesting the pupils in their studies. There are various principles of human nature, which may be of great avail, in accomplishing this object. Making intellectual effort, and acquiring knowledge, are always pleasant to the human mind, unless some peculiar circumstances render them otherwise. The teacher has, therefore, only to remove obstructions, and sources of pain, and the employment of his pupils will be, of itself, a pleasure.

"I am going to give you a new exercise to-day," said a teacher to a class of boys, in Latin. "I am going to have you parse your whole lesson, in writing. It will be difficult, but I think you may be able to accomplish it."

The class looked surprised. They did not know what parsing in writing could be.

"You may first, when you take your seats, and are ready to prepare the lesson, write upon your slates, a list of the ten first nouns, arranging them in a column. Do you understand so far?"

"Yes sir."

"Then rule lines for another column, just beyond this. In parsing nouns, what is the first particular to be named?"

"What the noun is from."

"Yes; that is, its nominative. Now you may write, at the head of the first column, the word Nouns, and at the head of the second, Nom., for nominative. Then rule a line for the third column. What shall this contain?" "The declension." "Yes; and the fourth?" "Gender." "The fifth?" "Number."

In the same manner the other columns were designated; the sixth, was to contain case; the seventh, the word, with which the noun was connected, in construction; and the eighth, a reference to the rule.

"Now I wish you," continued the teacher, "to fill up such a table as this, with ten nouns. Do you understand how I mean?"

"Yes sir;" "No sir;" they answered, variously.

"All who do understand may take their seats; as I wish to give as little explanation, as possible. The more you can depend upon yourselves, the better."

Those who saw clearly what was to be done, left the class, and the teacher continued his explanation to those who were left behind. He made the plan perfectly clear to them, by taking a particular noun, and running it through the table, showing what should be written opposite to the word, in all the columns; and then dismissed them.

The class separated, as every class would, in such a case, with strong interest in the work before them. It was not so difficult as to perplex them, and yet it required attention and care. They were interested and pleased;-pleased with the effort which it required them to make, and they anticipated, with interest and pleasure, the time of coming again to the class, to report and compare their work.

When the time for the class came, the teacher addressed them somewhat as follows:

"Before looking at your slates, I am going to predict what the faults are. I have not seen any of your work, but shall judge altogether from my general knowledge of school-boys, and the difficulties I know they meet with Do you think I shall succeed?"

The scholars made no reply, and an unskilful teacher would imagine, that time spent in such remarks, would be wholly wasted. By no means. The influence of it was to awaken universal interest in the approaching examination of the slates. Every scholar would be intent, watching, with eager interest, to see whether the imagined faults would be found upon his work. The class was, by that single pleasant remark, put into the best possible state, for receiving the criticisms of the teacher.

"The first fault, which I suppose will be found, is, that some are unfinished."

The scholars looked surprised. They did not expect to have that called a fault.

"How many plead guilty to it?"

A few raised their hands, and the teacher continued.

"I suppose that some will be found partly effaced. The slates were not laid away carefully, or they were not clean, so that the writing is not distinct. How many find this the case with their work?"

"I suppose that, in some cases, the lines will not be perpendicular, but will slant, probably towards the left, like writing."

"I suppose also, that, in some cases, the writing will be careless, so that I cannot easily read it. How many plead guilty to this?"

After mentioning such other faults as occurred to him, relating chiefly to the form of the table, and the mere mechanical execution of the work, he said:

"I think I shall not look at your slates to-day. You can all see, I have no doubt, how you can considerably improve them, in mechanical execution, in your next lesson; and I suppose you would a little prefer that I should not see your first imperfect efforts. In fact, I should rather not see them. At the next recitation, they probably will be much better."

One important means by which the teacher may make his scholars careful of their reputation, is to show them, thus, that he is careful of it himself.

Now, in such a case as this, for it is, except in the principles which it is intended to illustrate, imaginary, a very strong interest would be awakened in the class, in the work assigned them. Intellectual effort, in new and constantly varied modes, is in itself a pleasure, and this pleasure the teacher may deepen and increase very easily, by a little dexterous management, designed to awaken curiosity, and concentrate attention. It ought, however, to be constantly borne in mind, that this variety should be confined, to the modes of pursuing an object, which is permanent, and constant, and steadily pursued. For instance, if a little class are to be taught simple addition, after the process is once explained, which may be done, perhaps, in two or three lessons, they will need many days of patient practice, to render it familiar, to impress it firmly in their recollection, and to enable them to work with rapidity. Now this object must be steadily pursued. It would be very unwise for the teacher to say to himself; my class are tired of addition, I must carry them on to subtraction, or give them some other study. It would be equally unwise, to keep them many days performing example after example, in monotonous succession, each lesson a mere repetition of the last. He must steadily pursue his object, of familiarizing them fully with this elementary process, but he may give variety and spirit to the work, by changing occasionally the modes. One week he may dictate examples to them, and let them come together to compare their results; one of the class being appointed to keep a list of all who are correct, each day. At another time, each one may write an example, which he may read aloud to all the others, to be performed and brought in at the next time. Again, he may let them work on paper, with pen and ink, that he may see how few mistakes they make, as mistakes in ink, cannot be easily removed. He may excite interest by devising ingenious examples, such as finding out how much all the numbers from one to fifty will make, when added together, or the amount of the ages of the whole class; or any such example, the result of which they might feel a little interest in learning. Thus the object is steadily pursued, though the means of pursuing it, are constantly changing. We have the advantage of regular progress in the acquisition of knowledge truly valuable, while this progress is made, with all the spirit and interest which variety can give.

The necessity of making such efforts as this, however, to keep up the interest of the class in their work, and to make it pleasant to them, will depend altogether upon circumstances; or rather, it will vary much with circumstances. A class of pupils somewhat advanced in their studies, and understanding and feeling the value of knowledge, will need very little of such effort as this; while young and giddy children, who have been accustomed to dislike books and school, and every thing connected with them, will need more. It ought, however, in all cases, to be made a means, not an end;-the means to lead on a pupil to an interest in progress in knowledge itself, which is, after all, the great motive, which ought to be brought, as soon and as extensively as possible, to operate in the school-room.

Another way to awaken interest in the studies of the school, is to bring out as frequently, and as distinctly, as possible, the connexion between these studies and the practical business of life. The events which are occurring around you, and which interest the community in which you are placed, may, by a little ingenuity, be connected, in a thousand ways, with the studies of the school. If the practice, which has been already repeatedly recommended, of appropriating a quarter of an hour, each day, to a general exercise, should be adopted, it will afford great facilities for doing this.

Suppose, for example, while the question between the General Government and the State of South Carolina, was pending, and agitating the whole country, almost every one looking, with anxious interest, every day, for intelligence from the scene of the conflict, that the teacher of a school, had brought up the subject, at such a general exercise as has been mentioned. He describes, in a few words, the nature of the question, and, in such a manner, as to awaken, throughout the school, a strong interest in the result of the contest. He then says,

"I wish now to make you all more fully acquainted with this case, and the best way of doing it, which occurs to me, is as follows:

"There are several studies in school, which throw light upon this controversy; especially History, Geography, and Political Economy. Now, I shall take the classes in these studies, for a day or two, out of their regular course, and assign them lessons which relate to this subject, and then hear them recite in the General Exercise, that you may all hear. The first class in Geography may take therefore, for their next lesson, the State of South Carolina; to-morrow they will recite in the hearing of the whole school, when I shall make such additional explanations, as will occur to me. The next day, I shall assign to the class in History, a passage giving an account of the formation of this government; and afterwards lessons will be recited from the Political Class Book, explaining the mode of collecting money for the use of our government, by duties, and the relative powers of the General and State Governments. After hearing all these lessons recited, with my remarks in addition, you will be the better able to understand the subject, and then I shall bring in a newspaper now and then, and keep you acquainted with the progress of the affair."

Now the propriety of taking up the particular subject, which I have here introduced, by way of illustration, in such a way, would depend altogether upon the character and standing of the school; the age and mental maturity of the scholars, and their capacity to understand the circumstances of such a case, and to appreciate those considerations which give interest to it. The principle however, is applicable to all; and one such experiment, dexterously carried through, will do more towards giving boys and girls, clear and practical ideas of the reason why they go to school, and of the importance of acquiring knowledge, than the best lecture on such a subject, which ever was delivered.

There is no branch of study attended to in school, which may, by judicious efforts, be made more effectual in accomplishing this object,-leading the pupils to see the practical utility, and the value of knowledge, than composition. If such subjects as are suitable themes for moral essays, are assigned, the scholars will indeed dislike the work of writing, and derive little benefit from it. The mass of pupils in our schools, are not to be writers of moral essays or orations, and they do not need to form that style of empty, florid, verbose declamation, which the practice of writing composition in our schools, as it is too frequently managed, tends to form. Assign practical subjects,-subjects relating to the business of the school,-or the events taking place around you. Is there a question before the community, on the subject of the location of a new school-house? Assign it to your pupils, as a question for discussion, and direct them not to write empty declamation, but to obtain, from their parents, the real arguments in the case, and to present them, distinctly and clearly, and in simple language, to their companions. Was a building burnt by lightning in the neighborhood? Let those who saw the scene, describe it; their productions to be read by the teacher aloud; and let them see that clear descriptions please, and that good legible writing can be read fluently, and that correct spelling, and punctuation, and grammar, make the article go smoothly and pleasantly, and enable it to produce its full effect. Is a public building going forward in the neighborhood of your school? You can make it a very fruitful source of subjects and questions, to give interest and impulse to the studies of the school-room. Your classes in geometry may measure,-your arithmeticians may calculate, and make estimates,-your writers may describe its progress, from week to week, and anticipate the scenes, which it will in future years exhibit.

By such means, the practical bearings and relations of the studies of the school-room, may he constantly kept in view; but I ought to guard the teacher, while on this subject, most distinctly, against the danger of making the school-room a scene of literary amusement, instead of study. These means of awakening interest, and relieving the tedium of the uninterrupted and monotonous study of text books, must not encroach on the regular duties of the school. They must be brought forward with judgment and moderation, and made subordinate and subservient to these regular duties. Their design is, to give spirit, and interest, and a feeling of practical utility, to what the pupils are doing, and if resorted to, with these restrictions, and within these limits, they will produce powerful, but safe results.

Another way to excite interest, and that of the right kind in school, is not to remove difficulties, but to teach the pupils how to surmount them. A text book so contrived as to make study mere play, and to dispense with thought and effort, is the worst text book that can be made, and the surest to be, in the end, a dull one. The great source of literary enjoyment, which is the successful exercise of intellectual power, is, by such a mode of presenting a subject, cut off. Secure therefore severe study. Let the pupil see that you are aiming to secure it, and that the pleasure which you expect that they will receive, is that of firmly and patiently encountering and overcoming difficulty; of penetrating, by steady and persevering effort, into regions, from which the idle and the inefficient are debarred; and that it is your province to lead them forward, not to carry them. They will soon understand this, and like it.

Never underrate the difficulties which your pupils will have to encounter, or try to persuade them that what you assign is easy. Doing easy things is generally dull work, and it is especially discouraging and disheartening for a pupil to spend his strength in doing what is really difficult for him, when his instructer, by calling his work easy, gives him no credit, for what may have been severe and protracted labor. If a thing is really hard for the pupil, his teacher ought to know it, and admit it. The child then feels that he has some sympathy.

It is astonishing how great an influence may be exerted over a child, by his simply knowing that his efforts are observed and appreciated. You pass a boy in the street, wheeling a heavy load, in a barrow; now simply stop to look at him, with a countenance which says, "that is a heavy load; I should not think that boy could wheel it;" and how quick will your look give fresh strength and vigor to his efforts. On the other hand, when, in such a case, the boy is faltering under his load, try the effect of telling him, "Why, that is not heavy; you can wheel it easily enough; trundle it along." The poor boy will drop his load, disheartened and discouraged, and sit down upon it, in despair. No, even if the work you are assigning to a class is easy, do not tell them so, unless you wish to destroy all their spirit and interest in doing it; and if you wish to excite their spirit and interest, make your work difficult, and let them see that you know it is so. Not so difficult as to tax their powers too heavily, but enough so, to require a vigorous and persevering effort. Let them distinctly understand too, that you know it is difficult,-that you mean to make it so,-but that they have your sympathy and encouragement, in the efforts which it calls them to make.

You may satisfy yourself that human nature is, in this respect, what I have described, by some such experiment as the following:-Select two classes, not very familiar with elementary arithmetic, and offer to each of them the following example in Addition:-

1 2 3 4 5 6 7 8 9

2 3 4 5 6 7 8 9 1

3 4 5 6 7 8 9 1 2

&c. &c.

The numbers may be continued, according to the obvious law regulating the above, until each one of the nine digits has commenced the line. Or, if you choose Multiplication, let the example be this:-

Multiply 123456789

by 123456789

-----

Now, when you bring the example to one of the classes, address the pupils as follows:

"I have contrived for you a very difficult sum. It is the most difficult one that can be made, with the number of figures contained in it, and I do not think that any of you can do it, but you may try. I shall not be surprised if every answer should contain mistakes."

To the other class, say as follows:-

"I have prepared an example for you, which I wish you to be very careful to perform correctly. It is a little longer than those you have had heretofore, but it is to be performed upon the same principles, and you can all do it correctly, if you really try."

Now under such circumstances the first class will go to their seats with ardor and alacrity; determined to show you that they can do work, even if it is difficult. And if they succeed, they come to the class the next day, with pride and pleasure. They have accomplished something, which you admit it was not easy to accomplish. On the other hand, the second class will go to their seats, with murmuring looks and words; and with a hearty dislike of the task you have assigned them. They know that they have something to do, which, however easy it may be to the teacher, is really difficult for them, and they have to be perplexed and wearied with the work, without having at last, even the little satisfaction of knowing that the teacher appreciates the difficulties with which they had to contend.

2. We now come to consider the subject of rendering assistance to the pupil, which is one of the most important and delicate parts of a teacher's work. The great difference, which exists among teachers, in regard to the skill they possess in this part of their duty, is so striking that it is very often noticed by others; and perhaps skill here is of more avail, in deciding the question of success or failure, than any thing besides. The first great principle, is, however, simple and effectual.

(1.) Divide and subdivide a difficult process, until your steps are so short, that the pupil can easily take them.

Most teachers forget the difference between the pupil's capacity and their own, and they pass rapidly forward, through a difficult train of thought, in their own ordinary gait, their unfortunate followers vainly trying to keep up with them. The case is precisely analagous to that of the father, who walks with the step of a man, while his little son is by his side, wearying and exhausting himself, with fruitless efforts to reach his feet as far, and to move them as rapidly, as a full gown man.

But to show what I mean by subdividing a difficult process, so as to make each step simple, I will take a case which may serve as an example. I will suppose that the teacher of a common school, undertakes to show his boys, who, we will suppose, are acquainted with nothing but elementary arithmetic, how longitude is ascertained, by means of the eclipses of Jupiter's satellites; not a very simple question, (as it would, at first view, strike one,) but still one which, like all others, may be, merely by the power of the subdivision alluded to, easily explained. I will suppose that the subject has come up at a general exercise,-perhaps the question was asked in writing, by one of the older boys. I will present the explanation, chiefly in the form of question and answer, that it may be seen, that the steps are so short, that the boys may take them themselves.

"Which way," asks the teacher, "are the Rocky Mountains from us?"

"West," answer two or three of the boys.

In such cases as this, it is very desirable that the answers should be general, so that throughout the school, there should be a spirited interest in the questions and replies. This will never be the case, if a small number of the boys only take part in the answers; and many teachers complain, that, when they try this experiment, they can seldom induce many of the pupils to take a part.

The reason ordinarily is, that they say that any of the boys may answer, instead of that all of them may. The boys do not get the idea that it is wished that an universal reply should come from all parts of the room in which every one's voice should be heard. If the answers were feeble, in the instance we are supposing, the teacher would perhaps say;

"I only heard one or two answers: do not more of you know where the Rocky Mountains are? Will you all think, and answer together? Which way are they from us?"

"West," answer a large number of boys.

"You do not answer fully enough yet; I do not think more than forty answered, and there are about sixty here. I should like to have every one in the room answer, and all precisely together."

He then repeats the question, and obtains a full response. A similar effort will always succeed.

"Now, does the sun, in going round the earth, pass over the Rocky Mountains, or over us, first?"

To this question, the teacher hears a confused answer. Some do not reply; some say, "Over the Rocky Mountains;" others, "Over us;" and others still, "The sun does not move at all."

"It is true that the sun, strictly speaking, does not move; the earth turns round, presenting the various countries, in succession, to the sun, but the effect is precisely the same as it would be, if the sun moved, and accordingly I use that language. Now, how long does it take the sun to pass round the earth?"

"Twenty four hours."

"Does he go towards the west, or towards the east, from us?"

"Towards the west."

But it is not necessary to give the replies; the questions alone will be sufficient. The reader will observe that they inevitably lead the pupil, by short and simple steps, to a clear understanding of the point to be explained.

"Will the sun go towards, or from, the Rocky Mountains, after leaving us?"

"How long did you say it takes the sun to go round the globe, and come to us again?"

"How long to go half round?" "Quarter round?"

"How long will it take him to go to the Rocky Mountains?"

No answer.

"You cannot tell. It would depend upon the distance. Suppose then the Rocky Mountains were half round the globe, how long would it take the sun to go to them?" "Suppose they were quarter round?"

"The whole distance is divided into portions called degrees; 360 in all. How many will the sun pass, in going half round? In going quarter round?"

"Ninety degrees then make one quarter of the circumference of the globe. This you have already said will take six hours. In one hour then, how many degrees will the sun pass over?"

Perhaps no answer. If so, the teacher will subdivide the question, on the principle we are explaining, so as to make the steps such that the pupils can take them.

"How many degrees will the sun pass over in three hours?"

"Forty-five."

"How large a part of that, then, will he pass, in one hour?"

"One third of it."

"And what is one third of forty-five?"

The boys would readily answer fifteen, and the teacher would then dwell for a moment, on the general truth, thus deduced, that the sun, in passing round the earth, passes over fifteen degrees every hour.

"Suppose then it takes the sun one hour to go from us to the river Mississippi, how many degrees west of us, would the river be?"

Having thus familiarized the pupils to the fact, that the motion of the sun is a proper measure of the difference of longitude between two places, the teacher must dismiss the subject, for a day, and when the next opportunity of bringing it forward occurs, he would perhaps take up the subject of the sun's motion as a measure of time.

"Is the sun ever exactly over our heads?"

"Is he ever exactly south of us?"

"When he is exactly south of us, or in other words, exactly opposite to us, in his course round the earth, he is said to be in our meridian. For the word meridian means a line drawn exactly north or south from any place."

There is no limit to the simplicity which may be imparted, even to the most difficult subjects, by subdividing the steps. This point for instance, the meaning of meridian, may be the subject, if it were necessary, of many questions, which would render it simple to the youngest child. The teacher may point to the various articles in the room, or buildings, or other objects without, and ask if they are or are not in his meridian. But to proceed:

"When the sun is exactly opposite to us, in the south, at the highest point to which he rises, what o'clock is it?"

"When the sun is exactly opposite to us, can he be opposite to the Rocky Mountains?"

"Does he get opposite to the Rocky Mountains, before, or after, he is opposite to us?"

"When he is opposite to the Rocky Mountains, what o'clock is it there?"

"Is it twelve o'clock here, then, before, or after it is twelve o'clock there?"

"Suppose the river Mississippi is fifteen degrees from us, how long is it twelve o'clock here, before it is twelve o'clock there?"

"When it is twelve o'clock here then, what time will it be there?"

Some will probably answer "one," and some "eleven." If so, the step is too long, and may be subdivided thus:

"When it is noon here, is the sun going towards the Mississippi, or has he passed it?"

"Then has noon gone by, at that river, or has it not yet come?"

"Then will it be one hour before, or one hour after noon?"

"Then will it be eleven, or one?"

Such minuteness and simplicity would, in ordinary cases, not be necessary. I go into it here, merely to show, how, by simply subdividing the steps, a subject ordinarily perplexing, may be made plain. The reader will observe that in the above, there are no explanations by the teacher, there are not even leading questions; that is, there are no questions whose form suggests the answers desired. The pupil goes on from step to step, simply because he has but one short step to take at a time.

"Can it be noon, then," continues the teacher, "here and at a place fifteen degrees west of us, at the same time?"

"Can it be noon here, and at a place ten miles west of us, at the same time?"

It is unnecessary to continue the illustration, for it will be very evident to every reader, that by going forward in this way, the whole subject may be laid out before the pupils, so that they shall perfectly understand it. They can, by a series of questions like the above, be led to see by their own reasoning, that time, as denoted by the clock, must differ in every two places, not upon the same meridian, and that the difference must be exactly proportional to the difference of longitude. So that a watch, which is right in one place, cannot, strictly speaking, be right in any other place, east or west of the first: and that, if the time of day, at two places, can be compared, either by taking a chronometer from one to another, or by observing some celestial phenomenon, like the eclipses of Jupiter's satellites, and ascertaining precisely the time of their occurrence, according to the reckoning at both; the distances east or west, by degrees, may be determined. The reader will observe, too, that the method by which this explanation is made, is strictly in accordance with the principle I am illustrating,-which is by simply dividing the process into short steps. There is no ingenious reasoning on the part of the teacher, no happy illustrations; no apparatus, no diagrams. It is a pure process of mathematical reasoning, made clear and easy by simple analysis.

In applying this method, however, the teacher should be very careful not to subdivide too much. It is best that the pupils should walk as fast as they can. The object of the teacher should be to smooth the path, not much more than barely enough to enable the pupil to go on. He should not endeavor to make it very easy.

(2.) Truths must not only be taught to the pupils, but they must be fixed, and made familiar. This is a point which seems to be very generally overlooked.

"Can you say the Multiplication Table?" said a teacher, to a boy, who was standing before him, in his class.

"Yes sir."

"Well, I should like to have you say the line beginning nine times one."

The boy repeated it slowly, but correctly.

"Now I should like to have you try again, and I will, at the same time, say another line, to see if I can put you out."

The boy looked surprised. The idea of his teacher's trying to perplex and embarrass him, was entirely new.

"You must not be afraid," said the teacher; "you will undoubtedly not succeed in getting through, but you will not be to blame for the failure. I only try it, as a sort of intellectual experiment."

The boy accordingly began again, but was soon completely confused by the teacher's accompaniment; he stopped in the middle of his line saying,

"I could say it, only you put me out."

"Well, now try to say the Alphabet, and let me see if I can put you out there."

As might have been expected the teacher failed. The boy went regularly onward to the end.

"You see now," said the teacher to the class which had witnessed the experiment, "that this boy knows his Alphabet, in a different sense, from that in which he knows his Multiplication table. In the latter, his knowledge is only imperfectly his own; he can make use of it only under favorable circumstances. In the former it is entirely his own; circumstances have no control over him."

A child has a lesson in Latin Grammar to recite. She hesitates and stammers, miscalls the cases, and then corrects herself, and if she gets through at last, she considers herself as having recited well; and very many teachers would consider it well too. If she hesitates a little longer than usual, in trying to summon to her recollection a particular word, she says, perhaps, "Don't tell me," and if she happens at last to guess right, she takes her book with a countenance beaming with satisfaction.

"Suppose you had the care of an infant school," might the instructer say to such a scholar; "and were endeavoring to teach a little child to count, and she should recite her lesson to you in this way; 'One, two, four, no, three;-one, two, three,--stop, don't tell me,-five-no four-four-, five,---I shall think in a minute,-six-is that right? five, six, &c.' Should you call that reciting well?"

Nothing is more common than for pupils to say, when they fail of reciting their lesson, that they could say it at their seats, but that they cannot now say it, before the class. When such a thing is said for the first time, it should not be severely reproved, because nine children in ten honestly think, that if the lesson was learned so that it could be recited any where, their duty is discharged. But it should be kindly, though distinctly explained to them, that, in the business of life, they must have their knowledge so much at command, that they can use it, at all times, and in all circumstances, or it will do them little good.

One of the most common causes of difficulty in pursuing mathematical studies, or studies of any kind, where the succeeding lessons depend upon those which precede, is the fact that the pupil, though he may understand what precedes, is not familiar with it. This is very strikingly the case with Geometry. The class study the definitions, and the teacher supposes they fully understand them; in fact, they do understand them, but the name and the thing are so feebly connected in their minds, that a direct effort, and a short pause, are necessary to recall the idea, when they hear or see the word. When they come on therefore to the demonstrations, which, in themselves, would be difficult enough, they have double duty to perform. The words used do not readily suggest the idea, and the connexion of the ideas requires careful study. Under this double burden, many a young geometrician sinks discouraged.

A class should go on slowly, and dwell on details, so long as to fix firmly, and make perfectly familiar, whatever they undertake to learn. In this manner, the knowledge they acquire will become their own. It will be incorporated, as it were, into their very minds, and they cannot afterwards be deprived of it.

The exercises which have for their object this rendering familiar what has been learned, may be so varied as to interest the pupil very much, instead of being tiresome, as it might, at first be supposed.

Suppose, for instance, a teacher has explained to a large class in grammar, the difference between an adjective and an adverb: if he leave it here, in a fortnight, one half would have forgotten the distinction, but by dwelling upon it, a few lessons, he may fix it for ever. The first lesson might be to write twenty short sentences containing only adjectives. The second to write twenty, containing only adverbs. The third, to write sentences in two forms, one containing the adjective, and the other expressing the same idea by means of the adverb, arranging them in two columns, thus,

He writes well. | His writing is good.

Again, they may make out a list of adjectives, with the adverbs derived from each, in another column. Then they may classify adverbs on the principle of their meaning, or according to their termination. The exercise may be infinitely varied, and yet the object of the whole may be, to make perfectly familiar, and to fix for ever in the mind, the distinction explained.

These two points seem to me to be fundamental, so far as assisting pupils through the difficulties which lie in their way, is concerned. Diminish the difficulties as far as is necessary, by merely shortening and simplifying the steps, and make thorough work as you go on. These principles carried steadily into practice, will be effectual, in leading any mind through any difficulties which may occur. And though they cannot perhaps be fully applied to every mind, in a large school, yet they can be so far acted upon, in reference to the whole mass, as to accomplish the object for a very large majority.

3. General cautions. A few miscellaneous suggestions, which we shall include under this head, will conclude this chapter.

(1.) Never do any thing for a scholar, but teach him to do it for himself. How many cases occur, in the schools of our country, where the boy brings his slate to the teacher, saying he cannot do a certain sum. The teacher takes the slate and pencil,-performs the work in silence,-brings the result,-and returns the slate to the hands of his pupil, who walks off to his seat, and goes to work on the next example; perfectly satisfied with the manner in which he is passing on. A man who has not done this a hundred times himself, will hardly believe it possible that such a practice can prevail. It is so evidently a waste of time, both for master and scholar.

(2.) Never get out of patience with dulness. Perhaps I ought to say, never get out of patience with any thing. That would perhaps be the wisest rule. But above all things, remember that dulness and stupidity, and you will certainly find them in every school, are the very last things to get out of patience with. If the Creator has so formed the mind of a boy, that he must go through life slowly and with difficulty, impeded by obstructions which others do not feel, and depressed by discouragements which others never know, his lot is surely hard enough, without having you to add to it the trials and suffering, which sarcasm and reproach from you, can heap upon him. Look over your school-room, therefore, and wherever you find one, whom you perceive the Creator to have endued with less intellectual power than others, fix your eye upon him with an expression of kindness and sympathy. Such a boy will have suffering enough from the selfish tyranny of his companions; he ought to find in you, a protector and friend. One of the greatest pleasures which a teacher's life affords, is, the interest of seeking out such an one, bowed down with burdens of depression and discouragement,-unaccustomed to sympathy and kindness, and expecting nothing for the future, but a weary continuation of the cheerless toils, which have imbittered the past;-and the pleasure of taking off the burden, of surprising the timid disheartened sufferer by kind words and cheering looks, and of seeing, in his countenance, the expression of ease and even of happiness, gradually returning.

(3.)The teacher should be interested in all his scholars, and aim equally to secure the progress of all. Let there be no neglected ones in the school room. We should always remember that, however unpleasant in countenance and manners that bashful boy, in the corner, may be, or however repulsive in appearance, or unhappy in disposition, that girl, seeming to be interested in nobody, and nobody appearing interested in her, they still have, each of them, a mother, who loves her own child, and takes a deep and constant interest in its history. Those mothers have a right too, that their children should receive their full share of attention, in a school which has been established for the common and equal benefit of all.

(4.) Do not hope or attempt to make all your pupils alike. Providence has determined that human minds should differ from each other, for the very purpose of giving variety and interest to this busy scene of life. Now if it were possible for a teacher, so to plan his operations, as to send his pupils forth upon the community, formed on the same model, as if they were made by machinery, he would do so much, towards spoiling one of the wisest of the plans which the Almighty has formed, for making this world a happy scene. Let it be the teacher's aim to cooperate with, not vainly to attempt to thwart the designs of Providence. We should bring out those powers with which the Creator has endued the minds placed under our control. We must open our garden to such influences as shall bring forward all the plants, each, in a way corresponding to its own nature. It is impossible, if it were wise, and it would be foolish, if it were possible, to stimulate, by artificial means, the rose, in hope of its reaching the size and magnitude of the apple-tree, or to try to cultivate the fig and the orange, where wheat only will grow. No; it should be the teacher's main design, to shelter his pupils from every deleterious influence, and to bring every thing to bear upon the community of minds before him, which will encourage, in each one, the developement of its own native powers. For the rest, he must remember that his province is to cultivate, not to create.

Error on this point, is very common. Many teachers, even among those who have taken high rank, through the success with which they have labored in this field, have wasted much time, in attempting to do what can never be done; to form the character of those brought under their influence, after a certain uniform model, which they have conceived as the standard of excellence. Their pupils must write just such a hand, they must compose in just such a style, they must be similar in sentiment and feeling, and their manners must be formed according to a fixed and uniform model; and when, in such a case, a pupil comes under their charge whom Providence has designed to be entirely different from the beau ideal adopted as the standard, more time and pains, and anxious solicitude is wasted in vain attempts to produce the desired conformity, than half the school require beside.

(5.) Do not allow the faults or obliquities of character, or the intellectual or moral wants, of any individual, of your pupils, to engross a disproportionate share of your time. I have already said, that those who are peculiarly in need of sympathy or help, should receive the special attention they seem to require; what I mean to say now, is, do not carry this to an extreme. When a parent sends you a pupil, who, in consequence of neglect or mismanagement, at home, has become wild and ungovernable, and full of all sorts of wickedness, he has no right to expect, that you shall turn your attention away from the wide field, which, in your whole school-room, lies before you, to spend your time, and exhaust your spirits and strength, in endeavoring to repair the injuries which his own neglect has occasioned. When you open a school, you do not engage, either openly or tacitly, to make every pupil who may be sent to you, a learned or a virtuous man. You do engage to give them all faithful instruction, and to bestow upon each such a degree of attention, as is consistent with the claims of the rest. But it is both unwise and unjust, to neglect the many trees in your nursery, which by ordinary attention, may be made to grow straight and tall, and to bear good fruit, that you may waste your labor upon a crooked stick, from which all your toil can secure very little beauty or fruitfulness.

Let no one now understand me to say, that such cases are to be neglected. I admit the propriety, and in fact, have urged the duty, of paying to them a little more than their due share of attention. What I now condemn is the practice, of which all teachers are in danger, of devoting such a disproportionate and unreasonable degree of attention to them, as to encroach upon their duties to others. The school, the whole school, is your field, the elevation of the mass, in knowledge and virtue, and no individual instance, either of dulness or precocity, should draw you away from its steady pursuit.

(6.) The teacher should guard against unnecessarily imbibing those faulty mental habits, to which his station and employment expose him. Accustomed to command, and to hold intercourse with minds which are immature and feeble, compared with our own, we gradually acquire habits, that the rough collisions and the friction of active life, prevent from gathering around other men. Narrowminded prejudices and prepossessions are imbibed, through the facility, with which, in our own little community, we adopt and maintain opinions. A too strong confidence in our own views on every subject, almost inevitably comes, from never hearing our opinions contradicted or called in question; and we express those opinions in a tone of authority and even sometimes of arrogance, which we acquire in the school-room, for there, when we speak, nobody can reply.

These peculiarities show themselves first, and in fact, most commonly, in the school-room; and the opinions thus formed, very often relate to the studies and management of the school. One has a peculiar mode of teaching spelling, which is successful almost entirely through the magic influence of his interest in it, and he thinks no other mode of teaching this branch, is even tolerable. Another must have all his pupils write on the angular system, or the anti-angular system, and he enters with all the zeal into a controversy on the subject, as if the destiny of the whole rising generation, depended upon its decision. Tell him that all that is of any consequence in any handwriting, is, that it should be legible, rapid, and uniform, and that, for the rest, it would be better that every human being should write a different hand, and he looks upon you with astonishment, wondering that you cannot see the vital importance of the question, whether the vertex of an o should be pointed or round. So in every thing. He has his way in every minute particular,-a way from which he cannot deviate, and to which he wishes every one else to conform.

This set, formal mannerism is entirely inconsistent with that commanding, intellectual influence, which the teacher should exert in the administration of his school. He should work, with what an artist calls boldness and freedom of touch. Activity and enterprise of mind should characterize all his measures, if he wishes to make bold, original, and efficient men.

(7.) Assume no false appearances, in your school, either as to knowledge or character. Perhaps it may justly be said to be the common practice of teachers in this country, to affect dignity of deportment in the presence of their pupils, which, in other cases, is laid aside; and to pretend to superiority in knowledge, and an infallibility of judgment, which no sensible man would claim before other sensible men, but which an absurd fashion seems to require of the teacher. It can however scarcely be said to be a fashion, for the temptation is almost exclusively confined to the young and the ignorant, who think they must make up by appearance, what they want in reality. Very few of the older, and more experienced, and successful instructers in our country, fall into it at all. But some young beginner, whose knowledge is very limited, and who, in manner and habits, has only just ceased to be a boy, walks into his school-room with a countenance of forced gravity, and with a dignified and solemn step, which is ludicrous even to himself. I describe accurately, for I describe from recollection. This unnatural, and forced, and ludicrous dignity, cleaves to him like disease, through the whole period of his duty. In the presence of his scholars, he is always under restraint,-assuming a stiff, and formal dignity, which is as ridiculous as it is unnatural. He is also obliged to resort to arts which are certainly not very honorable, to conceal his ignorance.

A scholar, for example, brings him a sum in arithmetic, which he does not know how to perform. This may be the case with a most excellent teacher,-and one well qualified for his business. In order to be successful as a teacher, it is not necessary to understand every thing. Instead, however, of saying frankly, I do not understand that example, I will look at it and examine it, he looks at it embarrassed and perplexed, not knowing how he shall escape the exposure of his ignorance. His first thought is, to give some general directions to the pupil, and send him to his seat to make a new experiment, hoping that in some way or other, he scarcely knows how, he will get through; and, at any rate, if he does not, the teacher at least gains time by manoeuvre, and is glad to postpone his trouble, though he knows it must soon return.

All efforts to conceal ignorance, and all affectation of knowledge not possessed, are as unwise as they are dishonest. If a scholar asks a question which you cannot answer, or brings you a difficulty which you cannot solve, say frankly, "I do not know." It is the only way to avoid continual anxiety and irritation, and the surest means of securing real respect. Let the scholars understand that the superiority of the teacher does not consist in his infallibility, or in his universal acquisitions, but in a well balanced mind, where the boundary between knowledge and ignorance is distinctly marked; in a strong desire to go forward, in mental improvement; and in fixed principles of action, and systematic habits. You may even take up in school, a study entirely new to you, and have it understood at the outset, that you know no more of it than the class commencing, but that you can be their guide, on account of the superior maturity and discipline of your powers, and the comparative ease with which you can meet and overcome difficulties. This is the understanding which ought always to exist between master and scholars. The fact that the teacher does not know every thing, cannot long be concealed, if he tries to conceal it; and in this, as in every other case, HONESTY IS THE BEST POLICY.