Read The Schooldays of Jesus Online
Authors: J. M. Coetzee
âWe are not trying to dodge anything,' says he, Simón. âWe are not fugitives. We merely want what is best for our child.'
The next day, in the late afternoon, a truck pulls up at the farm and a large, florid-faced man alights. He is greeted by Roberta, who leads him to the dormitory. âSeñor Simón, señora Inés, this is
señor Robles. I will leave the three of you to discuss your business.'
Their discussion is brief. Señor Robles, so he informs them, loves children and gets on well with them. He will be happy to introduce young David, of whom he has heard glowing praise from señora Roberta, to the elements of mathematics. If they agree, he will stop at the farm twice a week to give the boy a lesson. He will not accept payment in any form. It will be reward enough to have contact with a bright young mind. He himself, alas, has no children. His wife having passed on, he is alone in the world. If among the children of other fruit-pickers there are any who would like to join David in his lessons, they will be welcome. And the parents, señora Inés and señor Simón, may of course sit in tooâthat goes without saying.
âYou won't find it boring, teaching elementary arithmetic?' asks he, señor Simón, parent.
âOf course not,' says señor Robles. âFor a true mathematician the elements of the science are its most interesting part, and instilling the elements in a young mind the most challenging undertakingâchallenging and rewarding.'
He and Inés pass on señor Robles's offer to the few fruit-pickers left on the farm, but when the time comes for the first lesson David is the only student and he, Simón, the only parent in attendance.
âWe know what one is,' says señor Robles, opening the class, âbut what is two? That is the question before us today.'
It is a warm, windless day. They are seated under a shady tree outside the dormitory, señor Robles and the boy on opposite sides of a table, he discreetly to one side with BolÃvar at his feet.
From his breast pocket señor Robles takes two pens and places them side by side on the table. From another pocket he produces a little glass bottle, shakes out two white pills, and places them beside the pens. âWhat do these'âhis hand hovers over the pensââand these'âhis hand hovers over the pillsââhave in common, young man?'
The boy is silent.
âIgnoring their use as writing instruments or medicine, looking at them simply as objects, is there some property that these'âhe shifts the pens slightly to the rightââand these'âhe shifts the pills slightly to the leftââhave in common? Any property that makes them alike?'
âThere are two pens and two pills,' says the boy.
âGood!' says señor Robles.
âThe two pills are the same but the two pens aren't the same because one is blue and one is red.'
âBut they are still two, aren't they? So what is the property the pills and the pens have in common?'
âTwo. Two for the pens and two for the pills. But they aren't the same two.'
Señor Robles casts him, Simón, an irritated glance. From his pockets he produces another pen, another pill. Now there are three pens on the table, three pills. âWhat do these'âhe holds a hand over the pensââand these'âhe holds a hand over the pillsââhave in common?'
âThree,' says the boy. âBut it's not the same three because the pens are different.'
Señor Robles ignores the qualification. âAnd they don't have
to be pens or pills, do they? I could equally well replace the pens with oranges and the pills with apples, and the answer would be the same: three. Three is what the ones on the left, the oranges, have in common with the ones on the right, the apples. There are three in each set. So what have we learned?' And, before the boy can answer, he informs him what they have learned: âWe have learned that three does not depend on what is in the set, be it apples or oranges or pens or pills. Three is the name of the property that these sets have in common. And'âhe whisks away one of the pens, one of the pillsââthree is not the same as two, because'âhe opens a hand in which nestle the missing pen, the missing pillââI have subtracted an item, one item, from each set. So what have we learned? We have learned about two and about three, and in exactly the same way we can learn about four and five and so on up to a hundred, up to a thousand, up to a million. We have learned something about number, namely that each number is the name of a property shared by certain sets of objects in the world.'
âUp to a million million,' says the boy.
âUp to a million million and beyond,' agrees señor Robles.
âUp to the stars,' says the boy.
âUp to the number of the stars,' agrees señor Robles, âwhich may well be infinite, we don't yet know for sure. So what have we achieved thus far in our first lesson? We have found out what a number is, and we have also found out a way of countingâone, two, three, and so forthâa way of getting from one number to the next in a definite order. So let us summarize. Tell me, David, what is two?'
âTwo is if you have two pens on the table or two pills or two apples or two oranges.'
âYes, good, nearly right but not exactly right. Two is what they have in common, apples or oranges or any other object.'
âBut it has got to be hard,' says the boy. âIt can't be soft.'
âIt can be a hard object or a soft object. Any objects in the world will do, without restriction, so long as there is more than one of them. That is an important point. Every object in the world is subject to arithmetic. In fact every object in the universe.'
âBut not water. Or vomit.'
âWater isn't an object. A glass of water is an object, but water in itself is not an object. Another way of saying that is to say that water is not countable. Like air or earth. Air and earth aren't countable either. But we can count bucketfuls of earth, or canisters of air.'
âIs that good?' says the boy.
Señor Robles replaces the pens in his pocket, drops the pills back into the bottle, turns to him, Simón. âI'll stop by again on Thursday,' he says. âThen we can move on to addition and subtractionâhow we combine two sets to get a sum, or remove elements of a set to get a difference. In the meantime your son can practise his counting.'
âI can already count,' says the boy. âI can count to a million. I taught myself.'
Señor Robles rises. âAnyone can count to a million,' he says. âWhat is important is to get a grasp of what numbers really are. So as to have a firm foundation.'
âAre you sure you won't stay?' says he, Simón. âInés is making tea.'
âAlas, I don't have the time,' says señor Robles, and drives off in a flurry of dust.
Inés emerges with the tea tray. âHas he gone?' she says. âI thought he would stay for tea. That was a very short lesson. How did it go?'
âHe is coming back next Thursday,' says the boy. âWe are going to do four then. We did two and three today.'
âWon't it take forever if you do just one number at a time?' says Inés. âIsn't there a quicker way?'
âSeñor Robles wants to make sure the foundations are firm,' says he, Simón. âOnce the foundations are firmly laid, we will be ready to erect our mathematical edifice on them.'
âWhat is an edifice?' says the boy.
âAn edifice is a building. This particular edifice will be a tower, I would guess, stretching far into the sky. Towers take time to build. We must be patient.'
âHe only needs to be able to do sums,' says Inés, âso that he won't be at a disadvantage in life. Why does he need to be a mathematician?'
There is silence.
âWhat do you think, David?' says he, Simón. âWould you like to go on with these lessons? Are you learning anything?'
âI already know about four,' says the boy. âI know all the numbers. I told you, but you wouldn't listen.'
âI think we should cancel,' says Inés. âIt is just a waste of time. We can find someone else to teach him, someone who is prepared to teach sums.'
He breaks the news to Roberta (âWhat a pity!' she says. âBut
you are the parents, you know best.') and telephones señor Robles. âWe are immensely grateful to you, señor Robles, for your generosity and your patience, but Inés and I feel the boy needs something simpler, something more practical.'
âMathematics is not simple,' says señor Robles.
âMathematics is not simple, I agree, but our plan was never to turn David into a mathematician. We just don't want him to suffer as a consequence of not going to school. We want him to feel confident handling numbers.'
âSeñor Simón, I have met your son only once, I am not a psychologist, my background is in engineering, but there is something I must tell you. I suspect young David may be suffering from what they call a cognitive deficit. This means that he is deficient in a certain basic mental capacity, in this case the capacity to classify objects on the basis of similarity. This capacity comes so naturally to us as human beings, ordinary human beings, that we are barely aware we have it. It is the ability to see objects as members of classes that makes language possible. We do not need to see each tree as an individual entity, as animals do, we can see it as an example of the class
tree
. It also makes mathematics possible.
âWhy do I raise the topic of classification? I do so because in certain rare cases the faculty is weak or missing. Such people will always have difficulty with mathematics and with abstract language in general. I suspect your son is such a person.'
âWhy are you telling me this, señor Robles?'
âBecause I believe that you owe it to the boy to have his condition investigated further, and then perhaps to adjust the form that his further education may take. I would urge you to make an
appointment with a psychologist, preferably one who specializes in cognitive disorders. The Department of Education will be able to provide you with names.'
âAdjust the form of his education: what do you mean by that?'
âIn the simplest terms, I mean that if he is always going to struggle with numbers and abstract concepts, then it may be best if he goes, for example, to a trade school, where he can learn a useful, practical trade like plumbing or carpentry. That is all. I take note that you have decided to cancel our mathematics lessons, and I agree with your decision. I think it is a wise one. I wish you and your wife and son a happy future. Goodnight.'
âI spoke to señor Robles,' he tells Inés. âI cancelled the lessons. He thinks David should go to a trade school and learn to be a plumber.'
âI wish that señor Robles was here, so that I could give him a slap in the face,' says Inés. âI never liked the look of him.'
The next day he drives up the valley to señor Robles's house and at the back door leaves a litre of the farm's olive oil, with a card. âThank you from David and his parents,' says the card.
Then he has a serious talk to the boy. âIf we find you another teacher, someone who will teach you just simple sums, not mathematics, will you listen? Will you do as you are told?'
âI did listen to señor Robles.'
âYou know perfectly well that you did not listen to señor Robles. You undermined him. You made fun of him. You said silly things on purpose. Señor Robles is a clever man. He has a degree in engineering from a university. You could have learned from him, but instead you decided to be silly.'
âI am not silly, señor Robles is silly. I can do sums already. Seven and nine is sixteen. Seven and sixteen is twenty-three.'
âWhy didn't you show him you can do sums while he was here?'
âBecause, his way, you first have to make yourself small. You have to make yourself as small as a pea, and then as small as a pea inside a pea, and then a pea inside a pea inside a pea. Then you can do his numbers, when you are small small small small small.'
âAnd why do you have to be so small to do numbers his way?'
âBecause his numbers are not real numbers.'
âWell, I wish you had explained that to him instead of being silly and irritating him and driving him away.'
CHAPTER 4
DAYS PASS, the winter winds begin to blow. Bengi and his kinfolk take their leave. Roberta has offered to drive them to the bus station, where they will catch the bus to the north and seek work on one of the ranches on the great flatlands. Maite and her two sisters, wearing their identical outfits, come to say goodbye. Maite has a gift for David: a little box she has made of stiff cardboard, painted quite delicately with a design of flowers and tumbling vines. âIt's for you,' she says. Brusquely and without a word of thanks David accepts the box. Maite offers her cheek to be kissed. He pretends not to see. Covered in shame, Maite turns and runs off. Even Inés, who does not like the girl, is pained by her distress.
âWhy do you treat Maite so cruelly?' he, Simón demands. âWhat if you never see her again? Why let her carry such a bad memory of you for the rest of her life?'
âI am not allowed to ask you, so you are not allowed to ask me,' says the boy.
âAsk you what?'
âAsk me why.'
He, Simón, shakes his head in bafflement.
That evening Inés finds the painted box tossed in the trash.
They wait to hear more about the academies, the Academy of Singing and the Academy of Dance, but Roberta appears to have forgotten. As for the boy, he seems to be perfectly happy by himself, dashing about the farm on business of his own or sitting on his bunk absorbed in his book. But BolÃvar, who at first would accompany him on all his activities, now prefers to stay at home, sleeping.
The boy complains about BolÃvar. âBolÃvar doesn't love me anymore,' he says.
âHe loves you as much as ever,' says Inés. âHe is just not as young as he used to be. He doesn't find it fun to run around all day as you do. He gets tired.'