I mentally cringed, expecting a scathing onslaught from the corporal. Instead, he nodded gravely. “Assist, not do it for you, Cadet. Assisting a fellow cavallaman is well within our traditions. Go to it.”
So we did, whispering quietly together. I showed him how to set up the problem, and he worked it gravely, arriving at the correct answer with only one prod from me, again on his calculation. But when he said, “It’s much easier. But I don’t understand why I can set it up this way. It seems to me we’re skipping a step.”
“Well, it’s because we can,” I said, and then paused, perplexed. I knew what I had done, and I’d done similar problems a hundred times. But I had never thought to ask my math tutor why it could be done that way.
Gord’s hand softly came down on Spink’s paper, covering the problem. We both looked at him hostilely, believing he was going to complain about our whispering. Instead, he looked at Spink and said quietly, “I don’t think you understand exactly what exponents are. They’re supposed to be a shortcut, and once you understand them, they’re easy to use. Shall I show you?”
Spink glanced at me as if he expected me to be irritated. I turned a palm up to Gord, inviting him to go ahead. He did, speaking softly, his own books ignored on the table before him. He was a natural teacher. I saw that. It made him want to help Spink before he began his own work, despite his late start at it. He didn’t do Spink’s work for him, or even work the problem himself to demonstrate it. Instead, he explained exponents in a way that enlightened me. I was good at math, but I was good at it in a rote way, just as a small child can recite “nine plus twelve is twenty-one” long before he knows what numbers are or that they signify quantities. I could manipulate numbers and symbols accurately because I knew the rules. Gord, however, understood theprinciples. He explained exponents in a way that made me understand that I had been looking at a map of mathematics and Gord knew the countryside of it. That is an inadequate explanation for such a subtle awakening, but it is the best I can do.
Gord’s mathematical expertise woke a grudging admiration for him in me; grudging because I still could not condone how he maintained his body. My father had always taught me that my body was the animal the good god had settled around my soul. Just as I should be shamed if my horse were dirty or sickly, so should I be shamed if my body were unkempt or poorly conditioned. All it required was common sense, he had taught me. I could not understand how Gord could tolerate life in such an ungainly body.
Curiosity kept me at the table as Gord walked Spink through each set of exercises and explained why and how the numbers could be manipulated. Then he turned to his own books and lessons. We were nearly alone at the table by then. Even the proctor had pulled a chair over by the fire and was dozing, a military history book open before him on his lap.
Spink was a quick study. He worked rapidly through the exercises, only occasionally asking for help when a problem presented a variation, and even then, it was most often to confirm that he had correctly solved it. Spink did suffer from weakness in his command of his basic math facts. Several times I quietly pointed out small errors to him. I had my grammar book open before me with the letter I’d composed, as if I were checking it a final time, out of loyalty to Spink, I suppose. He and Gord had just finished their work when the proctor suddenly snapped his bobbing head upright and then glared at us as if it were our fault he’d dozed off. “You should be finished by now,” he informed us curtly. “I’ll give you another ten minutes. You have to learn to use your time wisely.”
In less time than that, we had packed up our books and papers and shelved them. The three of us had only a few moments to ourselves before it was time to go down the stairs and form up for our march to the mess hall. This evening meal differed substantially from the welcoming dinner of the previous night. Tonight we were given a simple repast of soup, bread, and cheese; our noon meal was expected to be our major nourishment for the day. We all ate heartily. I would have enjoyed a more substantial dinner, and I do not think I was the only man at the table who felt that way. “Is this all there is?” Gord asked pathetically, both alarmed and disappointed at the modest meal, and there was some jesting and laughter at his expense over it.
After dinner, we returned to the parade ground. After a brief flag-lowering ceremony by an honor guard of older cadets, Dent dismissed us, cautioning us that we had best tend to our uniforms and boots and extra studying that we would need for the morrow rather than wasting our time in frivolous socializing.
We did both, of course. Our floor was a jostle of cadets cleaning their boots, comparing impressions of the day with each other, waiting in line for the washbasins, and speculating on what tomorrow would bring. Dent was correct, however. When he came up to give us our ten-minutes-to-lights-out warning, half of us hadn’t finished those basic tasks. We all used up what time we had left as best we could, and then Dent ordered the lights-out immediately, regardless of how any of the cadets were engaged. There was much stumbling and muttering in the dark as we made our blind ways to our rooms and beds. In the darkness, I knelt by my bedside to say my prayers. My roommates did likewise, each confiding his own thoughts to the good god and then climbing wearily into bed. I remember thinking that I would have a hard time falling asleep, and then nothing more until the drum awoke me to the dim dawn of another day at the Academy.