When I found myself alone in the study, at Rouse’s, after dinner, I felt I could work and think; everything was so quiet that I was able to get on without interruption, and the time passed rapidly and pleasantly. Question after question I worked out, and by the manner in which the solutions seemed to agree with the questions, I believed I was nearly, if not quite, correct in my work. I continued thus occupied till about ten o’clock, when, having a room to myself, I went to bed, with no fear of being disturbed by a “cold pig,” or the miserable cry of “Quarter?” that used to awake me at Hostler’s.

Before going to sleep, however, I thought over the problems I had worked out, and fancied I had made a mistake in one, which I at once determined to re-examine, and soon found my second thoughts were correct, and that I had made an error.

This was the first time I had ever worked out a problem in my head, when in bed, and the room was dark, but after this I regularly used to think over the various things I had done during the day, and try to recall each portion, and endeavour to repeat to myself what I had done. By this means I soon acquired a habit of thought quite new to me; instead of what I learnt seeming to rest only on the surface of my mind, as it had at Hostler’s, it seemed to impress itself on the brain, and to leave a mark so distinctly as never to be forgotten. I soon realised the fact that I was passing through a phase of mental development, produced, as I believed, by the quiet, calm, and reasonable manner in which I was now treated.

Night after night I used to work out the questions given me, and in the morning handed the solutions to Mr Rouse. In the majority of cases I was correct, but if I were wrong Mr Rouse would go over the work with me, giving me hints as regards the way of arranging my figures or doing portions of the work. I often smiled to myself as I compared this system of teaching with the cramming practised by Hostler, and the reasonable manner in which Mr Rouse pointed out mistakes or want of care, with the three-cuts-on-the-hand system of Hostler. I found, after a week at Rouse’s, I had really learnt more than I should have done at Hostler’s in many months; and it was not only what I had learnt, but the additional power which seemed to have come to my mind, and the consequent ease with which I grappled with problems, that a month before, in the confusion at Hostler’s, would have been to me unintelligible.

I discovered, too, at this time, how problems that perhaps for half an hour would appear impossible of solution, if put by for a day and re-tried, would often be found practicable. This, to me, important discovery led me to never give up anything that at first I could not accomplish, but I waited day after day, till I usually found I grew up as it were, so as to surmount the difficulty.

Remembering what Mr Rouse had said relative to forming an opinion in a week, I was very anxious, as the week elapsed, to hear the result of his experience. He did not, however, mention a word to me, and I had not the courage to ask him whether he believed I had a chance of success. I worked steadily on, hoping to defer the evil day, when perhaps it would be pronounced that I had no chance.

It was after I had been a fortnight at Rouse’s that one morning, as I read out the answers to my night’s work, Mr Rouse said, “Number six question is one you must look at carefully, for when you are at the Academy you will have many such questions in your half-yearly examinations there.”

“Do you think I have a chance of passing, then?” I exclaimed.

“Certainly; every chance, if you continue going on as well as you have done.”

These words were long remembered; they gave me hope, and they excited my ambition. If I could only pass, what a blow it would be for Hostler! and what a surprise for many of the boys there, who had put me down as not only a dunce, but as too stupid to learn! I could not, however, believe there was more than a chance of success, though I had hopes now, especially when I found how easily I could solve many of the most difficult questions that Mr Rouse set me.