There were many ways in which the methods employed at Dr. Johnston's school were unique. The system of registering attendance, proficiency, and conduct has been already fully explained. It was hardly possible that this could have been more perfect. No boy could be absent without being missed, and an explanation or excuse of a thoroughly satisfactory nature was required the next day. No mistake could occur as to the standing of the pupils in the different classes. The record of each day was all comprehensive. It constituted a photograph, so to speak, of each pupil's doings, in so far as they related to his school, and the doctor was exceedingly proud of the journals, which he kept with scrupulous care and neatness.
Another feature of the school, peculiar to itself, was the system by which a knowledge of arithmetic was fostered, and the faculty of using it quickly was developed. The whole of one morning each week was devoted to this. The scholars were grouped in classes according to their varying proficiency, care being taken to give each one a fair chance by associating him with those who were about as far advanced as himself. These classes were then arranged upon seats very much after the fashion of a Sunday school, save that instead of a teacher being in their centre, they were placed around a backless chair, in such a manner that it was equally convenient of access to all. Each boy had his slate and pencil in readiness.
The school having been called to order, the doctor then proceeded to read out to the senior class a problem in proportion or compound interest, or whatever it might be, and this they hurriedly scribbled down on their slates. If they did not understand it fully at first, he would read it again, but of course never gave any explanations. So soon as a scholar had clearly grasped the problem to be solved he set to work at its solution with all his might, and it was a most interesting spectacle to watch when the whole class, with heads bent close to the slates, made their squeaking, scratching pencils fly over them. Every possible shade of mental condition, from confident knowledge to foreboding bewilderment, would be expressed in their faces. The instant one of them had completed his work, he banged his slate down upon the backless chair, with the writing turned under. The others followed as best they could, and all the slates being down, they awaited the doctor's coming around to their class again.
When Dr. Johnston had completed the round of the classes, and given each a problem, he would, after a pause, call upon each in turn to read the answers as set down upon the slate. The boy whose slate was first on the chair, and therefore at the bottom of the pile, would read his answer first. If it were correct, he scored a point, and none of the others were called upon. If incorrect, the next to him would read his answer, and so on until a correct answer was given, and a point scored by somebody. Only one point could be made each round, and so the unsuccessful ones had to console themselves with the hope of having better luck next time. Not more than four or five rounds would be had each day, and it rarely happened that the same boy would be successful in all of them. Three points were considered a very good day's work, and if a boy made four points he was apt to feel that the prize in that class was as good as his, until some other boy made four points also, and thereby lessened his chances.
It did not always happen that being first down with his slate assured the scholar of scoring a point. A slight mistake in his addition, subtraction, or division might have thrown him off the track, and then number two, or maybe number three, would come in with a correct answer and triumphantly score the point, success being all the sweeter, because of being somewhat unexpected.
Now this kind of competition suited Bert thoroughly. He was as quick as any of his companions, cooler than many of them, and had by this time acquired a very good understanding of the chief principles of arithmetic. He greatly enjoyed the working against time, which was the distinctive feature of the contest. It brought out his mental powers to their utmost, and he looked forward to "arithmetic day," with an eagerness that was not caused entirely by what his father had promised him in the event of his being successful in carrying off a prize.
In the same class with him were Frank Bowser, Ernest Linton, and a half-dozen other boys of similar age and standing in the school. He had no fear of Frank or Ernest. They were no match for him either as to knowledge, or rapidity of work; but there was a boy in the class who seemed fully his equal in both respects. This was Levi Cohen, a dark-skinned, black-haired chap, whose Jewish features were in entire harmony with his Jewish name. He was indeed a Jew, and, young though he was, had all the depth, self-control, and steadfastness of purpose of that strange race. He also had, as the sequel will show their indifference as to the rightness of the means employed so long as the end in view was gained.
The school had been in session for more than a month, and those who were particularly interested in the arithmetic competitions were already calculating their chances of success. In Bert's class it was clear beyond a doubt that the contest lay between him and Levi Cohen. It rarely happened that they did not monopolise the points between them, and so far, they had divided them pretty evenly. One day Bert would score three and Levi two, and then the next week Levi would have three, and Bert two, and so it went on from week to week.
As the second month drew to a close, Bert began to gain upon his rival. He nearly always made the majority of the points, and was now at least six ahead. Then suddenly the tide turned and Levi seemed to have it all his own way. The quickness with which he got the answers was bewildering. Nay, more, it was even suspicious. One familiar with the details of the problems given, and the amount of work a full working out would require, could not help being struck by the fact that Cohen seemed to arrive at his answer after a remarkably small expenditure of slate-pencil. Time and again he would have his slate down at least half-a-minute before Bert did his, although previous to this sudden change in his fortunes, the difference in time between them had been rarely more than a few seconds. Then again it was noticeable that he took the utmost care that none of the others should see what was on his slate. He did his work in a corner, hunched up over it so that it was well concealed, and he snatched his slate away from the pile at the very first opportunity.
Bert noticed all these things, and they perplexed him quite as much as Cohen's rapid gain alarmed him. He soon became convinced that there was something wrong, that Cohen was doing crooked work; but, puzzle his brains as he might, he could not get at the bottom of the mystery. Frank and Ernest fully shared his suspicions, and they had many a talk over the matter. Frank thought that Cohen must have the answers written on a piece of paper which he managed to peep at somehow while all the other boys were absorbed in working out the problems; but although he on several occasions purposely refrained from doing anything himself in order to watch Cohen the more closely, he failed to find the slightest ground for his suspicions in that direction. Then Bert put forward his theory.