a •=+ *** • ** ** ** ſae§ º № * & ſºſ., *;§§ſą (),· §’’,* ,}§% %, -*).*},}§§Ģ * ſaesº," ,ſºff,ſý įķī£$%2% ; º x → *∞} /e Boys **) }}}} Aff f L PROFESSOR MEIKLEJOHN A Shor/ /ec/ure. & 3" & 3:...# § * £º * * +. $ * &Q w * ...)ș. •çº2 * ?, ș ~~ ?- " ،! ??)Ķ· * ·ſ−ºº; £<!às. ???,, ,} * …“*…?”Sº} ºf ...? &. & }&};*· � *¿sº* ·■ºSAș §",*:'$ ſº*…∞∞∞■Ēģ%±§, !-¿¿ {' № ¿¿.***}\\}(?:\ſ*)&gį ¿' ';}§§ ķī.***,(№.* §§« ;№º(№ º, ex>„aeae;g.∞ș. {};%%%ę*?!!)§§§:Ņ}gº → · §*®§§ §§§)} \ºrøĀ™ș-$ §. „ţ (****...]”º №xºlº ºš £§§§(…##&}?: , *** §§§, №, i}}№ſº),1. §*#ğ.”ºſ, ?§ 7%,Ķ Äğ£ſºſșº:%%►?:Œ }' $*$/, ±, ±√(√≠√ y^{ſ}}& ** isº, Fº ** # f, *. * d i ** The Teach * * ș, ț¢ £ \ }*ą ----* | 4.ſº * , , † \�ș * ..și *, * , {|A ry jſº … * „f *3.* Ä#**.«r, ș**, v.* \�į---- ----- ---** ț¢ £ THE TEACHINE OF LITE HOWS A SHORT LECTURE BY .*.*.* * go - 17° J: M. D. MEIKLEJOHN, M.A. '''“ PROFESSOR OF THE THEoRY, History, AND PRACTICE OF EDUCATION IN THE UNIVERSITY OF ST. ANDREWS, SCOTLAND. LONDON : KERBY & ENDEAN 190 OXFORD STREET I 87 9. -** Price Sixpence. jºez $10 mt. On : tº PRINTED BY KERBY & ENDEAN, 190, Oxford STREET. L. B | 5 || | , Nº 5 3. r *~~~~ 4-4-2, ~/. 2-& * &f* 7. THE TEACHING OF LITTLE BOYS. THE teaching of little boys has up to the present time been usually placed in the hands of persons who were not always the most competent. It has generally been considered that anybody could do it. But, in the somewhat analogous case of practice in medicine, the diseases of children require to be cared for by a practitioner of not less skill and learning than others, but rather of more; for very young children can give no adequate account of their sufferings and symptoms, and the physician needs a quicker eye and a surer perception for the treatment of their diseases than for the illnesses of adults. The Jesuits have always been excellent teachers; and their rule and custom have hitherto been to appoint ayoung teacher to the conduct of the higher forms, and to promote him gradually down to the lowest form in the school. For many reasons, which it is hardly necessary to give at present, I have come to the conclusion that the beginnings of all instruction require the greatest teaching skill and the most patient study; while I have also found that the results obtained in the study of their beginnings are, a ; 4 the richest and most fruitful for all future progress of the pupil. We employ the words mistake and difficulty, the terms du// and stupid, with considerable frequency; and generally without much further thought. A lesson is difficult; and a boy is dull; and that is an ultimatum—no more need be said about it. All difficulties are difficulties; and all mistakes are mistakes—and there is an end. But in the course of several years' experience as Examiner in English Literature to the Civil Service Com- mission, I have had in the oral examinations several thousands of young men before me, while in the written examinations I have had many thou- Sands of papers to read through. These young men have been for the most part candidates for Commissions in the army. I have for some years been taking notes and keeping lists of their mistakes; and I am gradually forming a museum of their educational malformations. These mistakes fall very naturally into classes; and if the teachers who trained these young men had taken the trouble to classify them, they would at once have got upon the track of their mistakes—have been able to root out the malformation, and have set and kept their pupils in a quiet straight line towards clear-headedness and accuracy. But they went on calling a mistake a mistake, applying no remedy, but accusing fate and hereditary weakness; and the consequence generally was that their pupils, not knowing the sources of their own weakness, never found out their true 5 strength, missed their goal, and failed even to pass their examinations. Again, when we say a lesson or a piece of work is difficult, the question is very seldom asked : In what respect, and in what circumstance or set of circumstances, is it difficult P A little boy has a Latin author—let us say Caesar—put into his hands; and he finds it difficult. Well, it is the duty of the teacher at once to set his mind to work and to inquire in what respect, and why, it is difficult. There are the words—they may be unusual to him, because the boy's Latin vocabulary is too limited ; there are the inflections, which are numerous in Latin—he may know them, but not with sufficient promptness; there are the relations between the words, which he may not catch with that quick intuition which alone we call understanding ; and last of all, there is the relation of the different clauses, which he is not at all familiar with, and which he has never formed the habit of allowing his mind to run smoothly in. By a little patient examination, the good teacher can soon find out which of the four contains the element of difficulty ; and when he has ascertained that, the remedy is close at hand, and very easy to apply. The teacher must analyse and distinguish as a chemist analyses; otherwise, both he and his pupil will go on wearying each other to the end of their connection. It is difficult—it is in fact impossible—for anyone to jump from here to the Marble Arch, but it is perfectly easy by short and well-considered steps for a child to go from here 6 to there in a short time. The processes of the mind are not less simple than those of an ordinary watch ; but to understand a watch, we must take it to pieces and, bit by bit, slowly put it together again. The same accuracy and patience must be shown in examining the processes of a boy's mind. Learning is just as natural as eating and drinking ; it is regulated by laws very similar to the laws which rule over these, and mental dyspepsia and feebleness are diseases rather more common than the weakness and dyspepsia of the body. The foundations of these mental diseases are usually laid in early youth, and it is my belief that they may be entirely avoided. They are no more necessary than other children's diseases are. Clear ideas promote the health of the mind, as well-cooked food and exercise promote the health of the body, and it is quite practicable to keep all ideas, all knowledge, and all school-learning clear and orderly from first to last. In other words, it is quite possible to reduce the element of mistake to a minimum, and so to engineer the road in each sub- ject that the pupil shall have a sufficient supply of mental gymnastics, and no more. Then, when from finding his difficulties vanish he has grown fond of the subject he is learning, he will apply as much mental force as the subject may need, and always with such an accompaniment of pleasure and such a sense of power gratified, that nature will tell him how much force to put out, and there will be no strain, but always a free and harmonious develop- ment of the internal power. But the outcome of a very 7 large part of our present teaching is muddle-headed- ness and disgust. To put a young boy in possession of his mental power is just as much a duty, and just as practicable, as putting him in possession of his powers of walking or riding. Now the way to do this is very simple—very simple, that is, after it has been shown. The way to do this is simply to take the subject about to be taught, and to divide it into the smallest pieces that it can be divided into, and then to give each of these pieces to the pupil as slowly or as rapidly as his temperament and his powers allow him to take them. “We must divide and subdivide a difficult process, until the steps are so short that the pupil can easily take them.” It is the work of the teacher to examine the piece of work to be done, and to mark out at his leisure into how many, and what, parts it can be divided ; to arrange how, and in what order, these parts Ought to be presented, and then to present them. This is to be done, I hold, by appealing always, if possible, to the mind through the eye; and by an almost infinite series of questions. These questions at first will relate to what he sees upon the black-board or elsewhere — to what is perfectly simple, then to a combination of two or three of these simple elements; then to a rapid combina- tion of more; then to a more rapid combination ; and lastly to a rapid combination of more complex elements. Thus, there is always careful step- ping and walking, but never a long jump. That and running may come later, but it will come from the 8 delight of the thing, and not from the compulsion of the master. The mind is thus kept in constant activity; there is always agreeable and pleasant motion; the attention has intervals of work and of rest, but it is always there when it is wanted ; and children are eager to answer these little questions, just as birds hop about with eagerness to pick up crumbs. The attention is fixed upon each smallest part in succession, then upon a part a little larger, then upon one larger still, until the habit of putting this and that quickly together becomes engrained in the mind of the young boy. Then, next day, follows repetition of what has been said the day before; and the application of the old matter and the old ideas to new instances. To refer once more to the practice of the old Latin schoolmasters, they had for their guidance the rule and motto, “Repetition is the mother of studies.” And this is an excellent rule; but it requires an addition. And the addition I propose to make to it is that the motto of all teachers should be “Repetition without monotony : ” because, in addition to dividing a sub- ject into all its smallest parts, it is the duty of the teacher to place each of these parts in as many different relations to every other part as he possibly can ; and to ask about their relations all the ques- tions that can be asked. Lord Bacon said that “a well-put question was the half of knowledge; ” and under the guidance of this and other similar direc- tions, enormous results have accrued to science. I have not any doubt that the application of the 9 same principle will do as much for and in educa- tion. This careful analysis, this constant questioning, this perpetual weaving of the new into the old, are the guiding clues for the teacher who honestly attempts to teach the elements of anything. There was, some years ago, an advertisement which met the eye everywhere; and it asked the question “Do you bruise your oats 2" This ques- tion would correspond with the necessity I have pointed out of breaking up everything into its smallest parts. The weaving of the new into the old can be forcibly illustrated by the old story of “The House that Jack built,” which is in itself a model for teaching in several subjects. Let me apply what I have been saying to actual instances; and I will take arithmetic—a subject in which boys do not always succeed, but which always yields results in exact proportion to the amount of good teaching put into it. All the work to be done in the teaching of arithmetic is early work; the battle is lost or won in the beginnings of it; and it is then that power and taste may be generated or may be destroyed, as the teaching is clear, slow, analytic, and distinctive, or confused, rapid, and care- less of the need for separation. It is a subject, moreover, in which Nature herself gives us the clearest and most unmistakable directions; and it may be taught to the youngest children with a per- petual accompaniment of pleasure. The whole of arithmetic consists fundamentally of two processes, IO and of two processes only—bringing to and taking away, or, as we call them, addition and subtrac- tion. All other processes are but modifications of these ; and if the teacher sees how they are modifi- cations, that insight of his points out the plain and easy road he must take. But in the early beginnings of arithmetic, it is plain that the boy must start with (I) tangible arithmetic; go on (2) to visual arithmetic; and then pass on (3) to paper and mental arithmetic. The fingers, the eyes, and the mind—these are the three steps. Following this road, the child need never stumble at all, but feel his intellectual muscles grow stronger and surer every day. The tangible arithmetic is supplied by showing the child how to handle cubes and pieces of wood; and this can be very well done in the nursery—though a set of these ought to be in the schoolroom for references and for occasional practice. Then he will meet with arithmetic for his eye; and let me take as an example the number 9. There is a story of the late Professor de Morgan, which has considerable force and meaning in relation to this part of my subject. He was examining a number of young men orally in arithmetic ; and he asked them what they meant by the number seven. They looked puzzled and disconcerted ; none of them could reply; and he sent them back to their school- work again. Now I am going to show you by the help of the eye what I mean by the number 9. I I THE NUMBER NINE. (a) º sie (b) O O (c) 69 @ •l"le 9 = 2 + 7 e * e 9 = 3+6 • 9= 1 +8 o e = 7–H 2 o o =6+3 o o = 8-H I © O • To © © © 69 (d) • * * (e) . 3+4+5 ° ° 9–3+3+3 * * * =5+4 o s = 3 X 3 69 || @ & © 69 || @ (9 || @ This diagram might have been made much larger, but for my present purpose that would have been inconvenient. But a certain amount of analysis has been performed upon the number 9 in these tables. It is plain that it consists of 4 and 5 and of 5 and 4; of I and 8 and of 8 and I ; of 2 and 7 and of 7 and 2 ; of 6 and 3 and of 3 and 6 ; and also of 3 and 3 and 3. Now, an ordinary teacher might be satisfied with saying that nine was nine; or, if he went a step farther, he might show its relations to other numbers outside itself; but he would not see what a wealth of questioning lay inside the number itself, and how readily it would answer all these questions. He has, however, only to break it up and to set it clearly forth upon the black-board to make his pupils at once set to work and use their eyes and minds—their adding and their subtracting power. And the teacher who has been rightly trained to his business will be able to ask nearly a score of questions on the number 9; while the thoughtless teacher can ask scarcely one. The old name for interrogation was the question and I 2 the torture; I apply the process to the subject, to make it give up all that is in it, and not to the living person. Let me apply a similar method to the number 13. 'THE NUMBER THIRTEEN. (a) 13 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 © © Q Q O © Q O © (2) 6.9 © © (b) 13 = IO + 3 → • * * * * * * * * * | * * * I O = 7 + 3. → • • * * * * * • * * 7 = 4 + 3 3 • * * * © Q O 4 = I –H 3 3 | *E*- O © 6 O I (c) 13 = 3 + 3 + 3 + 3 + I e e o e o e ] e o e ] e o e | * 13 + 3 = 4 lots and I remaining over. (d) 13 = 4 + 4 + 4 + I e e e o e e o e ] e o e o o 13 + 4 = 3 lots and I remaining over. (e) 13 = ( 3 × 4 ) + I e G G e o e C C C & © & © (f) 13 = ( 4 × 3 ) + I © e o e e e o e 6 & © 6 @ Notr.—This diagram is borrowed from an excellent paper by Mr. C. H. Iake. This diagram looks a little confused; but upon a large black-board it would look something quite I 3 different. Besides, it would be placed gradually upon the black-board; and no new part would be added until the old had been learned and thoroughly assimilated. The first line consists simply of 13 I + 1 + 1 &c., and of I 3 round dots. The line (3) shows the gradual process of subtracting, and by it we in time come to see that 3 may be taken away from 13 four times and that I will remain. In line (c) the same fact is put in a different way; that is, I 3 is written in four sets of 3 dots, and there is one over or left out. And this fact is stated in arith- metic symbols when we write I 3 + 3 = 4 and I over. From this instance, or rather from a large number of such instances, which the trained ingenuity of the teacher must discover and present to the pupil, he finds out—it one day strikes him with force— that division is only a short way of performing a number of acts of subtraction. In line (a) we have 3 sets of 4 and I over; in line (e) we gather up the four sets of 3 and I over, and make an act of multiplication out of it. By adding up all the numbers in (6) we find out that I and 3 and 3 and 3 and 3 make 13; but the line (e) tells us this in a much shorter and quicker way. And so here too the boy will come in time to feel that multiplication is only a rapid way of performing many acts of addition. Again, in line (f) the three bundles of four dots with an additional one are taken together and are found to produce I 3. Thus line (e) is the opposite of line (c), and line (/) of line (d). In time, also, it will occur to the growing boy that I4. multiplication and division are processes the reverse of each other; it will occur to him ; he will not have to think it out, or to take in elaborate explanations of it, and he will not feel confused by it. Let me take another example. The notation we employ in arithmetic is very simple, if taught gradu- ally, slowly, and clearly ; and the form of it depends on the fact that we have all of us ten fingers. But the Arab who, in long meditation, discovered that the basis of all notation was that the value of a figure should depend upon its place or position, and that it was requisite to invent “o's" to give place, and therefore value, to other figures, in real fact made arithmetic possible; and without this idea, no science of arithmetic could have existed. But it is just this function of the “o” which puzzles little boys; and a large number of illustrations or ways of putting the fact have to be employed. The diagram POSITION OF O. I O O I o o O I o I O I 2 O O O O O 2 I I O 2 O 2 O O O O I O O I 2 O O O O 2 O I O I O 2 2 O O O O O I I O O 2 O O O 2 O O I O O I O 3 O O 3 o O 3 I I O O O 3 O 3 O o O 3 I O I O O 3 O 3 O 3 O O I O O O I 3 3 o O O 3 O I O O O O I 3 O o O 3 O O I O I O O O 3 O O 3 O 3 O I I O O O O 4 O O 4 O O 4 I O O I O O 4 O 4 O 4 O 4 before you is not in any sense a lesson, but only a test, which would be led up to by a large number of I 5 lessons, each using different figures and different numbers, and varying the position of the “o” each time. Several kinds of devices might be used. An empty space marked off by a line ; a simple stroke ; a cross ; these and many others would show that the “O'” has no value in itself, but is simply a symbol or pawn or common soldier to back up or to give opportunity to the true figures to do their duty. In a very short time, after copious and patient practice on the black-board, any little boy could read off this table with complete accuracy and promptness, or could reproduce it upon paper if it were dictated to him by the teacher. I have already said that a good teacher will appeal to the eye whenever he can. It is the most accurate of our senses; its memory is strong and clear. The ear is constantly deceiving—both as to the knowledge we, think we receive, and as to the quarter from which it comes. The eye rarely, in a healthy person, deceives at all. Let us, then, get all the help we can from the eye. Allow me, if I have not tired your patience, to take an example or two from the teaching of Latin. This also is a subject which requires a great deal of good teaching, and which most amply repays it. For the boy who conquers Latin as it may and ought to be conquered is almost sure to turn out a clear-headed and ready-witted person, a good speaker, and a man with all his facts and notions in clear and lucid order; and he may be trusted to express himself in English in a firm, compact, and adequate 16 style, the meaning and purpose of which go quick and straight to the mind of the reader: that is, if Latin has been rightly taught. For though the literature of the Romans is not for a moment to be compared with the rich and beautiful literature of Greece, the amount of mental training—of training that endures for a lifetime, and serves the literary man, the lawyer, and the man of politics and affairs—to be drawn from a thorough study of Latin, it would be difficult to over-estimate. Now the process of careful division, of thorough analysis, of asking innumerable questions, of weaving the new with the old, is capable of complete applica- tion to the Latin language. The true teacher, instead of asking his little pupil to sit down and learn Felix puer (the lucky boy) by heart, will lead him to the black-board, take his chalk in hand, build it up before him, invite him to take it to pieces again, and will then ask him between forty and fifty questions on a set of forms that seem to give opportunity for only twelve. In these questions he will go over every point of similarity and of difference—for contrast and for comparison; and the boy's attention will be pleasantly and firmly fixed upon point after point in due succession, so as to suggest to his mind a method of examining and of learning a form like this quite by himself. A book it is generally convenient for the boy to have ; but he ought to be trained to the right use of the book. He ought not to be left to himself to what is called “learn by heart” (a process in which 17 there is often little heart and less mind), numerous strange and confused forms which his memory perhaps retains in a certain order, but cannot deliver them for use when the judgment wants them; but he should be gently and firmly guided through these, so that he may know what are the most important parts on which to fix his attention, what are their equivalents in English, and how he may learn by heart, and learn to use, similar forms when he happens to meet with them. Nothing seems easier than learning a Latin adjective. But the little boy may so learn it that it lies like an undigested lump in his mind, an obstruction, and not a living aid; or he may learn it so that every part of it is always at hand for ready and quick use—a use in which the boy takes as much pleasure as in the employment of his muscles. In this diagram, which would be slowly CONTRAST AND COMPARISON. Singular. bon-us bon-a bon-e bon-a O ! bon-urn bon-ann (after a zerº) bon-i bon-ae Of bon-O bon-ae to bon-O bon-à with P/l/ra/. bon-i bon-ae bon-i bon-ae . O ! bon-Os bon-as (after a ſcrö) bon-Orum bon-arum Of bon-is bon-is to bon-is bon-is with built up upon the blackboard, the boy, by means of clear questioning, would be shown when to use the B I 8 Latin word for a good man and a good woman, what part of the word was always unchanged, what are the s Latin equivalents for the English prepositions, and he would be gradually trained to give the Latin for the English as easily and as quickly as the English for the Latin. And scores of questions which he will willingly and promptly answer, can be asked on this small diagram. He should not be troubled at first with the barbarous but necessary terms Nomi- native, Vocative, Accusative, Genitive, Dative, and Aðlative. These would be very quickly and readily picked up by degrees, as the time and occasion called for them ; but it would be putting the cart before the horse to introduce them at once. I remember a curious instance of this blunder in instruction. Three years ago a little boy, the son of a member of the present Government, was brought to me to be examined. I ques- tioned him in Latin; and I found to my sur- prise that he knew all his declensions, but that he could not give the English words for the cases he knew. Thus he knew that carðon is was the genitive and carbon; the dative; but he did not know that the one meant “of a coal,” and the other “ to a coal.” He had learnt the names of the cases, but was quite ignorant of their powers. He was like a cook who should know the names of every article in the whole batterie de cuisine, but had no knowledge of the use to which each was put. Now in teaching simple words like rosa, amóra, and penna, about fifty questions can be put on the forms and I 9 their meanings without bringing in the names of the cases at all, names which can be learned as occasion arises for them to be known. And if so learned, when learned, they will be learned in such a way that they can never be forgotten. After the little boy has been provided with a stock of Latin words, and a ready power of using the inflections—in the course of which he can work his way through a book like Dr. Smith's “Principia Latina,”guided and helped over the ground by never- ceasing questions, until his mental eye for details is as sharp as a needle—he ought to have an easy book for translation put into his hand. At this point, it might be supposed that we had to bid adieu to the black-board ; that the appeal was useless, and that external sight could not help us any longer. But the contrary is the case; the eye helps us as much as ever, or more. For a Latin sentence is a much more complex and troublesome machine than an English sentence; it requires taking to pieces more carefully and putting together again with more skill. The little boy may very easily lose his way among the clauses, and some of them are as difficult to take as a five-barred gate ; and he has only a very confused feeling of the meaning of the whole sentence. But the black-board, which like a kind fairy steps in to help him, comes to unravel the con- fusion, and to make everything as plain, or plainer, than an English sentence. On the black-board we can draw a map of a sentence; every member falls into its own place; and all becomes quite clear. 2O We take a lesson from the art of war; we attack every part in detail, easily force it to give up its meaning, and then take full and triumphant posses- sion of the whole sentence. Here is one from Caesar, in which he explains that his base of opera- tions, where he kept all his corn and provisions, was the river Saône (Arar), that the Helvetii had struck away from that river, that he was obliged to pursue them, and that every day made it more and more difficult for him to get up supplies. The first point Poterat minus uti eo frumento - flumine navibus Helvetii iter ab Arare averterant subvexerat a. discedere nolebat. The dotted line represents a connection in thought; the single line a conjunction (quod); and the double line a relative (in the first case quod, in the second quibus). The mapping also shows Why Caesar used minus, rather than mon; because the difficulty of getting the corn increased every day with the increase of the distance of the Helvetii from the river, which was his base of Supplies. . to which your attention may be called in this little diagram is that every word in it, except the proper names and the prepositions, is as much English as it. is Latin; and that, if this set of facts is judiciously handled, Latin can be learned all the 2 I more easily and quickly. Now, in teaching this sen- tence, we first of all get into the boy's head the meaning of each of its parts, and he must be able to give the Latin as promptly and as accurately as he does the English, and then we bring the first two parts together—repeat these ; then the first three and repeat these ; then four; and lastly the whole sen- tence. Now, if this is done patiently and judiciously, the little boy gets an intimate, thorough, and work- able notion of a Latin sentence; and he can easily make more upon the model of it. Supposing a little boy were to master only forty or sixty of them in one year, so that he could use them, so that they became part of his mental existence, what a gain that would be | But he can do more—much more; and without the smallest strain, without the usual result of muddle and inaccuracy. Besides, he easily learns the sentence by heart—by heart, that is with heart and mind, and not with the mere empty volitional memory. But the careful teacher looks for, and is glad to take, help from every quarter. If one device does not succeed, he tries another. Like a patient physician, he is not bigoted, he does not tie himself to a nostrum ; but, honestly striving to do his best for the case, he will not turn his back upon any means. For example, he can find constant help in increasing the boy's Latin vocabulary from English and from French ; and it may sometimes happen that light is thrown upon a Latin habit or a Latin idiom by some turn or trick 22 of the French language. Latin gains much of its emphasis by being entirely free to place its words in any order it thinks best; and it also expresses different shades of meaning by this change of order. This comes out plainly enough in this diagram. ORDER OF WORDS IN LATIN. (1) Petrus monuit Paulum Pierre a averti Paul (2) Paulum Petrus Monuit C'est Paul que Pierre a averti (3) Monuit Petrus Paulum Ce sont des - - avertissements que Pierre a donnés à Paul. Grammar, again, is usually thought a very difficult and abstract subject. It is indeed worse; it is a confusing, discouraging, and mind-destroying subject: I mean, as it is usually taught. If, however, it is taught at the right time and in the right way, it is a great help to clear thinking, to accuracy, to sound and reflective habits of mind; and it becomes a ready key to the difficulties of foreign languages. And it is wonderful how much the eye can help us in making out the kinds of words (or, as they are called, the parts of speech), and also in gaining a practical notion of the build of a sentence. Here isan example. It is plain from this that what is called an adjective is simply a word that is always found in the company of a noun; that a verb is a telling word, which tells something about its noun; and that prepositions are little joining words, which, like nails and screws, join nouns to other nouns or 23 other words in the sentence. They have little or no meaning of their own, but they are very useful in tacking meaningful words together. slowly The walked poor tº gº tº old I]]3. Ił e e º º his youngest SOIl the banks the river To return to the main line of discussion, the best teacher is the man who can break up a piece of work into its smallest parts, ask the largest number of questions about them, ask his pupils to take only one step at a time, and increase the rapidity of these steps by imperceptible and kindly degrees. Then he gives time for frequent repetition, but for con- stantly varied repetition, in which there is no mono- tony for the pupil. He uses the largest number of black-boards, and uses up a large amount of chalk. He limits himself to a small area at one time, and enables his pupils to gain thorough possession of that ; then the area gradually grows; but, however large it may grow, the pupil is always thoroughly at home within it. He not only asks many questions, but he asks every question that can be asked, until the pupils have gained as firm, clear, accurate, and rapid perception as he himself has. He does not thrust the book on the little boy, but he prepares him for the book and the book for him, so that he 24. trains him how to learn, and inoculates him insen- sibly with a method. He varies the matter which the pupil has learnt to the uttermost, so that under no possible angle is the pupil a stranger to it. If I were to say that the good teacher used Znduction and Classification, some people would be frightened ; but when I say that Induction is merely hunting, an appetite that is ingrained in every man, woman, and child; and that Classification is merely putting one's facts and notions in the best order, putting like with like, every one will see at once that these practices ought not to be kept out of the schoolroom, but that the schoolroom is indeed the right place for them. Then the good teacher makes his pupil use his knowledge the moment he gets it, and use it in as many ways as can possibly be invented; and this, in fact, is almost equivalent to the production of mind. Again, he makes a constant appeal to the eye, and through it to the judgment. Tell me what you see. Which of these are like 2 What is the difference between this and that ? How many of them are the same 2 What is the meaning of this 2 and of that 2 of the other 2 Then the good teacher never tells his pupil anything, if he can avoid it; but he trains him to look and to judge for himself. The result of this is, that what a child observes for himself he never forgets, provided he is set to use it at once in different ways. It is perhaps not gene- rally known that there are two kinds of memory— the wil/-memory and the mind-memory. The wil/. memory is a very weak instrument, but I am sorry 25 to say it is the instrument that is most trusted in our present methods of instruction. The will- memory simply takes a fact as a separate fact, and says, “I will remember it;” and some- times it does, and frequently it does not. The mind - memory connects the fact or idea that it wishes to remember with as many other facts as it can ; and all of them help to support each other. This connection we can easily think of as like a spider's web, “which sends out threads in all direc- tions, establishes connections with every part and with the central point of the whole; and when the mind has woven such a web around any object, it can pass along any of the threads at pleasure, and reach any given point in the whole system of facts and notions.” Connection, comparison, contrast, questioning—these are the good teacher's weapons. But you may say, The teacher will in time become bored by all this, he will suffer from a vast ennui and gradually relax his efforts. But it is not so. In the first place, it is his business, and a good business man is just as fond of details as of the whole. In the second place, it becomes an art; and the teacher has as pure and intense a delight in observing the dawn of mental power and interest and eagerness in his pupils, as a painter has in dis- covering the right colour for an effect he has to produce. No true artist is ever tired, and both painter and teacher can go on for ever adding touch to touch, except that time and affairs must call them away from the work they live in. 26 The good teacher, moreover, makes everything grow before the eye of his pupil; he does not give him a large mass to take in at one time, but makes it gradually rise up before him, so that he is familiar with every part and with the whole. He carefully studies the night before all that is to be done with his pupils next morning; he thinks out all the ques- tions, he invents the different plans of presenting the new matter, he settles how he is to join it on to the old, he plans the campaign, he engineers the road and makes it easy; and so his pupils do not fall over stumbling-blocks or grow into habits of confusion and inaccuracy. But it may be said, this will make things too easy, and difficulty is a good mental discipline. And so it is. But no one would present a difficulty to a boy without suggesting to him a method of overcoming it; and no one ever com- plains of a dinner being too well-cooked, or of food being too digestible. The difference is that the true teacher does not make a thing easy for his pupil, but he makes it easy with him. The general aim of the good teacher is to put his pupils into PERFECT POSSESSION of all they know or attempt to do. . And if I am asked what I mean by “perfect possession,” my reply is, “The power to use upon the spot and to turn round in every possible way the knowledge and the ideas that have been given.” A soldier thoroughly drilled and trained does not forget his knowledge upon the field of battle, rather it comes into freer and intenser play; and so a pupil who has been thoroughly taught and trained has had 27 his knowledge and his mental habitsslowly drilled into his nervous system, and they have become a power which is part of himself. The true question with reference to all teaching is, does it add to the mental strength of the boy P Now a clear idea given and clearly perceived by the pupil always increases the power of the mind (while it also adds to the health of the body); and all unravelment of confusion, all analysis of complex parts, helps us to clear ideas. All large rocks are composed of the smallest shells, and the greatest mental powers have been produced by an infinite number of separate acts of attention. It will have become plain to you by this time that I am not advocating any new thing, but only that best way which every thoughtful and sympathetic teacher must take—must take, or find all his efforts fail and come to nothing. I have simply been writing in larger and plainer letters, and applying to the case of little boys, what was said thirty years ago about Dr. Arnold : “His whole method was founded upon the principle of awakening the intellect of every individual boy. Hence it was his practice to teach by questioning. As a general rule, he never gave information, except as a kind of reward for an answer, and often withheld it altogether, or checked himself in the very act of uttering it, from a sense that those whom he was addressing had not sufficient interest or sympathy to entitle them to receive it. His explanations were as short as possible—enough to dispose of the difficulty and no more ; and his questions were of a kind to call the attention of the 28 boys to the real point of every subject, and to disclose to them the exact boundaries of what he knew or did not know.” Now the good teacher will give informa- tion, but will always get his pupils' minds to play upon it ; and if their interest flags, he will know how to awaken it, unless, indeed, he sees that it arises from physical fatigue. Yet Dr. Arnold's method was thoroughly right in the main. With little boys, it is of the greatest importance to have short lessons, to vary the mental food, never to come near the limits of fatigue or distaste—to give strength, and to avoid strain—to have in the schoolroom an atmo- sphere of perpetual intellectual cheerfulness and life. That is like sunlight to plants. Another point of the greatest importance is that children should grow up with the habit of never making a mistake. This habit can be cultivated like any other habit; the sooner it is begun the better, and it should be begun from the beginning. Lessons for little boys should be so short at first that no mis- takes need be made; and the repetition of the old with the new, and the constant casting of both into new forms, produces that intellectual sureness of foot which is as valuable for the mind as simpleness and integrity are for the soul. I believe that this habit can be produced in every boy if it is begun in time. And among the means for the production of it is to be counted this mitrailleuse of questions to which I have alluded. The play of questioning keeps off inattention, fixes the mind on the right, keeps up interest, and preserves the child's mind in a state of 29 bright polish and keen perception. And the reflex moral action upon the feelings and general character of the child who never makes a mistake it is difficult to overvalue. - I have had pupils who came to me with the habit —the confirmed habit—of making numerous errors on the smallest opportunity. In a few months they were trained to notice the important points—the loop- holes for blunder, and at last reached the triumphant position of preparing their work or writing exercises with no blunders in them whatever. But it would have been very much better if they had begun so; it would have been better, as it would have been easier, to write fairly and plainly on a clean sheet of white paper than to produce distinguishable marks on a much bescribbled parchment palimpsest. The simple school programme of Never one mistake is the best intellectual position that a pupil can take up This result of guiding straight and of keeping straight is to be produced by my simple plans of constant appeal to the eye by the black-board, and of constant appeal to the mind by questioning. For thinking is simply asking oneself a question ; and if the boy cannot ask one for himself, he can have one asked of him by the teacher, who thus really creates mind within him. This of course does not shut out, but merely precedes, the practice of making a connected statement, which I always call on a boy to do after he has all the facts and ideas in his head, and as a final clinching process, he is set, if he is old enough, to put it in writing. 3O Infinite questioning, then, apt and varied question- ing, questioning from every side, repetition, repeti- tion without monotony, the constant use of the black-board, the perpetual consumption of chalk— these are the never-failing friends of the teacher and his pupils. These gradually and slowly create a method which can never die out of his mind, but is his life-long companion. It is necessary, with such pupils, to break up their work into the smallest parts by careful analysis; to question it into them and question it out of them; to use their true memory very largely; to employ unmonotonous repetition as an everyday instrument; to appeal to the eye and hand as frequently as one can; to excitethe pupil’s power of guessing andjudging and thinking ; and to so use the best and most vital parts of every good method that any power that may be in him shall have a fair chance of develop- ing itself and coming out into the light. Mental muscle may be produced as physical muscle is produced. Time is saved by the right method, and there is clear gain; but there is this far greater gain, that the boy has a method, can set to work with it, and—when he really has it—generally sets to work with a will. It is the standing object of a good teacher to put children in possession of their faculties, to give them habits of clearness, accuracy, order, and neat- ness; and in general to train them to do their best —always their best—in whatever they put their minds and hands to. 3 I 15, SAVILE ROW, LONDON, 3 uly 12th, 1879. MY DEAR MR. BLAIR, These methods and plans, which I have thus faintly sketched out, will, I hope, be completely carried into practice by you and Mr. Turner in your work in Orchard-street, With your ability and experience, your hearts in your profes- sion, and that union of great patience with vivacity and inventive- ness which you possess, I look for a genuine success for your pupils. You tell me that you intend to work on my lines and to carry out my methods, not in a slavish way, but in such a manner as to secure the greatest good of the pupils that may be entrusted to you ; and I cannot doubt that this helpful analysis, this perpetual questioning, this pleasant incitement to think and to observe—these and other things necessary to the spirit of the method, will always enter largely into your practice. I, on my part, will examine your pupils at the end of each term ; and in this way there will, I think, be complete security that at every point the best will be done that can be done for the kindly training and clear-headed working of the little boys. And I am, yours sincerely, J. M. D. MEIKLEJOHN. To EDWARD BLAIR, Esq.