After a five or six years’ stay at the school, the students left it with a thorough knowledge of higher mathematics, physics, mechanics, and connected sciences—so thorough, indeed, that it was not second to that acquired in the best mathematical faculties of the most eminent European universities. When myself a student of the mathematical faculty of the St. Petersburg University, I had the opportunity of comparing the knowledge of the students at the Moscow Technical School with our own. I saw the courses of higher geometry some of them had compiled for the use of their comrades; I admired the facility with which they applied the integral calculus to dynamical problems, and I came to the conclusion that while we, University students, had more knowledge of a general character (for instance, in mathematical astronomy), they, the students of the Technical School, were much more advanced in higher geometry, and especially in the applications of higher mathematics to the intricate problems of dynamics, the theories of heat and elasticity. But while we, the students of the University, hardly knew the use of our hands, the students of the Technical School fabricated with their own hands, and without the help of professional workmen, fine steam-engines, from the heavy boiler to the last finely turned screw, agricultural machinery, and scientific apparatus—all for the trade—and they received the highest awards for the work of their hands at the international exhibitions. They were scientifically educated skilled workers—workers with university education—highly appreciated even by the Russian manufacturers who so much distrust science.

Now, the methods by which these wonderful results were achieved were these: In science, learning from memory was not in honour, while independent research was favoured by all means. Science was taught hand in hand with its applications, and what was learned in the schoolroom was applied in the workshop. Great attention was paid to the highest abstractions of geometry as a means for developing imagination and research.

As to the teaching of handicraft, the methods were quite different from those which proved a failure at the Cornell University, and differed, in fact, from those used in most technical schools. The student was not sent to a workshop to learn some special handicraft and to earn his existence as soon as possible; but the teaching of technical skill was prosecuted in the same systematical way as laboratory work is taught in the universities, according to a scheme elaborated by the founder of the school, M. Dellavos, and now applied at Chicago and Boston. It is evident that drawing was considered as the first step in technical education. Then the student was brought, first, to the carpenter’s workshop, or rather laboratory, and there he was thoroughly taught to execute all kinds of carpentry and joinery. They did not teach the pupil to make some insignificant work of house decoration, as they do in the system of the slöjd—the Swedish method, which is taught especially at the Nääs school—but they taught him, to begin with, to make very accurately a wooden cube, a prism, a cylinder (with the planing jack), and then—all fundamental types of joining. In a word, he had to study, so to say, the philosophy of joinery by means of manual work. No efforts were spared in order to bring the pupil to a certain perfection in that branch—the real basis of all trades.

Later on, the pupil was transferred to the turner’s workshop, where he was taught to make in wood the patterns of those things which he would have to make in metal in the following workshops. The foundry followed, and there he was taught to cast those parts of machines which he had prepared in wood; and it was only after he had gone through the first three stages that he was admitted to the smith’s and engineering workshops. Such was the system which English readers will find described in full in a work by Mr. Ch. H. Ham.[187] As for the perfection of the mechanical work of the students, I cannot do better than refer to the reports of the juries at the above-named exhibitions.

In America the same system has been introduced, in its technical part, first, in the Chicago Manual Training School, and later on in the Boston Technical School—the best, I am told, of the sort—and finally at Tuskegee, in the excellent school for coloured young men. In this country, or rather in Scotland, I found the system applied with full success, for some years, under the direction of Dr. Ogilvie at Gordon’s College in Aberdeen. It is the Moscow or Chicago system on a limited scale. While receiving substantial scientific education, the pupils are also trained in the workshops—but not for one special trade, as it unhappily too often is the case. They pass through the carpenter’s workshop, the casting in metals, and the engineering workshop; and in each of these they learn the foundations of each of the three trades sufficiently well for supplying the school itself with a number of useful things. Besides, as far as I could ascertain from what I saw in the geographical and physical classes, as also in the chemical laboratory, the system of “through the hand to the brain,” and vice versâ, is in full swing, and it is attended with the best success. The boys work with the physical instruments, and they study geography in the field, instruments in hands, as well as in the class-room. Some of their surveys filled my heart, as an old geographer, with joy.[188]

The Moscow Technical School surely was not an ideal school.[189] It totally neglected the humanitarian education of the young men. But we must recognise that the Moscow experiment—not to speak of hundreds of other partial experiments—has perfectly well proved the possibility of combining a scientific education of a very high standard with the education which is necessary for becoming an excellent skilled workman. It has proved, moreover, that the best means for producing really good skilled labourers is to seize the bull by the horns, and to grasp the educational problem in its great features, instead of trying to give some special skill in some handicraft, together with a few scraps of knowledge in a certain branch of some science. And it has shown also what can be obtained, without over-pressure, if a rational economy of the scholar’s time is always kept in view, and theory goes hand in hand with practice. Viewed in this light, the Moscow results do not seem extraordinary at all, and still better results may be expected if the same principles are applied from the earliest years of education.

Waste of time is the leading feature of our present education. Not only are we taught a mass of rubbish, but what is not rubbish is taught so as to make us waste over it as much time as possible. Our present methods of teaching originate from a time when the accomplishments required from an educated person were extremely limited; and they have been maintained, notwithstanding the immense increase of knowledge which must be conveyed to the scholar’s mind since science has so much widened its former limits. Hence the over-pressure in schools, and hence, also, the urgent necessity of totally revising both the subjects and the methods of teaching, according to the new wants and to the examples already given here and there, by separate schools and separate teachers.

It is evident that the years of childhood ought not to be spent so uselessly as they are now. German teachers have shown how the very plays of children can be made instrumental in conveying to the childish mind some concrete knowledge in both geometry and mathematics. The children who have made the squares of the theorem of Pythagoras out of pieces of coloured cardboard, will not look at the theorem, when it comes in geometry, as on a mere instrument of torture devised by the teachers; and the less so if they apply it as the carpenters do. Complicated problems of arithmetic, which so much harassed us in our boyhood, are easily solved by children seven and eight years old if they are put in the shape of interesting puzzles. And if the Kindergarten—German teachers often make of it a kind of barrack in which each movement of the child is regulated beforehand—has often become a small prison for the little ones, the idea which presided at its foundation is nevertheless true. In fact, it is almost impossible to imagine, without having tried it, how many sound notions of nature, habits of classification, and taste for natural sciences can be conveyed to the children’s minds; and, if a series of concentric courses adapted to the various phases of development of the human being were generally accepted in education, the first series in all sciences, save sociology, could be taught before the age of ten or twelve, so as to give a general idea of the universe, the earth and its inhabitants, the chief physical, chemical, zoological, and botanical phenomena, leaving the discovery of the laws of those phenomena to the next series of deeper and more specialised studies.

On the other side, we all know how children like to make toys themselves, how they gladly imitate the work of full-grown people if they see them at work in the workshop or the building-yard. But the parents either stupidly paralyse that passion, or do not know how to utilise it. Most of them despise manual work and prefer sending their children to the study of Roman history, or of Franklin’s teachings about saving money, to seeing them at a work which is good for the “lower classes only.” They thus do their best to render subsequent learning the more difficult.

And then come the school years, and time is wasted again to an incredible extent. Take, for instance, mathematics, which every one ought to know, because it is the basis of all subsequent education, and which so few really learn in our schools. In geometry, time is foolishly wasted by using a method which merely consists in committing geometry to memory. In most cases, the boy reads again and again the proof of a theorem till his memory has retained the succession of reasonings. Therefore, nine boys out of ten, if asked to prove an elementary theorem two years after having left the school, will be unable to do it, unless mathematics is their speciality. They will forget which auxiliary lines to draw, and they never have been taught to discover the proofs by themselves. No wonder that later on they find such difficulties in applying geometry to physics, that their progress is despairingly sluggish, and that so few master higher mathematics.