In all these matters, looking back upon what I was taught, comparing it with what I now know, and comparing my mind with the minds of more fortunate individuals, I cannot resist the persuasion that I was very badly done indeed in this section. And it is small consolation to me to note that most people's minds seem to be no better done than mine.
My arithmetic, for instance, is mediocre. It is pervaded by inaccuracy. You may say that this is probably want of aptitude. Partly, no doubt, but not altogether. What is want of aptitude? Bad as my arithmetic is now it is not so bad as it was when I left school. When I was about twenty I held a sort of inquest upon it and found out a number of things. I found that I had been allowed to acquire certain bad habits and besetting sins—most people do. For instance, when I ran up a column of figures to add them I would pass from nine to seven quite surely and say sixteen; but if I went from seven to nine I had a vicious disposition to make it eighteen. Endless additions went wrong through that one error. I had fumbled into this vice and—this is my point—my school had no apparatus, and no system of checks, to discover that this had occurred. I used to get my addition wrong and I used to be punished—stupidly—by keeping me in from exercise. Time after time this happened; there was no investigation and no improvement. Nobody ever put me through a series of test sums that would have analysed my errors and discovered these besetting sins of mine that led to my inaccurate arithmetic.
And another thing that made my arithmetic wrong was a defect in eyesight. My two eyes haven't quite the same focal length and this often puts me out of the straight with a column of figures. But there was nothing in my school to discover that, and my school never did discover it.
My geometrical faculties are also very poor and undeveloped. Euclid's elements, indeed, I have always found simple and straightforward, but when it comes to anything in solid geometry—the intersection of a sphere by a cone, let us say, or something of that sort—I am hopelessly at sea. Deep-seated habits of faulting and fogging, which were actually developed by my schooling, prevent my forming any conception of the surfaces involved.
Here again, just as with the language teaching, hardly any of us are really fully educated. We suffer, nearly all of us, from a lack of quantitative grasp and from an imperfect grasp of form. Few of us have acquired such a grasp. Few of us ever made a proper use of models, and nearly all of us have miserably trained hands. Given proper facilities—and here again I ask you to note that proviso—given proper educational facilities, most of us would not only be able to talk with most people in the world but we should also have a conception of form and quantity far more subtle than that possessed by any but a few mathematicians and mechanical geniuses to-day.
Let me now come to a third main division of what we call schooling. In our schooling there was an attempt to give us a view of the world about us and a view of our place in it, under the headings of History and Geography.
It would be impossible to imagine a feebler attempt. The History and Geography I had was perhaps, in one respect, the next best thing to a good course. It was so thoroughly and hopelessly bad that it left me with a vivid sense of ignorance. I read, therefore, with great avidity during my adolescence.
In English schools now I doubt if the teaching of history is much better than it was in my time, but geography has grown and improved—largely through the vigorous initiative of Professor Huxley, who replaced the old dreary topography by a vivid description of the world and mingled with it a sort of general elementary science under the name of Physiography. This subject, with the addition of some elementary Biology and Physiology does now serve to give many young people in Great Britain something like a general view of the world as a whole. We need now to make a parallel push with the teaching of history. Upon this matter of the teaching of history I am a fanatic. I cannot think of an education as even half done until there has been a fairly sound review of the whole of the known past, from the beginnings of the geological record up to our own time. Until that is done, the pupil has not been placed in the world. He is incapable of understanding his relationship to and his rôle in the scheme of things. He is, whatever else he may have learnt, essentially an ignorant person.
And now let me recapitulate these demands I have made upon the process of schooling—this process of teaching that begins in the nursery and ends about the age of sixteen or seventeen. I have asked that it should involve a practical mastery of three or four languages, including the mother tongue, and that perhaps four or five other additional languages shall have been studied, so to speak, in skeleton. I have added mathematics carried much higher and farther than most of our schools do to-day. I have demanded a sound knowledge of universal history, a knowledge of general physical and general biological science, and I have thrown in, with scarcely a word of apology, a good training of the eyes and hands in drawing and manual work.
So far as the pupil goes, I submit this is an entirely practicable proposal. It can be done, I am convinced, with any ordinary pupil of average all-round ability, given—what is now almost universally wanting—the proper educational facilities. And now I will go on to examine the question of why these facilities are wanting. I want to ask why a large class, if not the whole of our population, is not educated up to the level of wide understanding and fully developed capacity such a schooling as I have sketched out implies.