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