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RECALL


   There are quite a number of ways to be recalled to duty. It may be by a trumpet-call. Or the mail. It may be a whisper in the dark.
   We were walking home from church one morning, and we were making unusually slow progress because little Elle needed to investigate every animal, vegetable or mineral curiosity she encountered. Just now she was following on a large snail, elegantly mantled in brown and white stripes, and making even slower progress towards the road. We were going uphill towards the edge of town, some yards short of the little cinema which used to specialize in earthy European comedies and early Hollywood horror flicks.
   I rather liked the look of these: good, clean, masculine entertainment, but a prominent French lady minister - one of her president's close friends - had recently told the world that at least one in four Englishmen are open homosexuals, heterosexually impotent, incapable of threat to daughters or wives. It seemed to me that my interests would be best served locally if I encouraged this belief.
   Ari was waiting for Elle to abandon her fascinating gastropod or, more kindly, to rescue it from its doom on the road. She was wearing her long blue-black coat, a neat black purse on a long thin leather loop was slung over her shoulder, and on her feet were the low black leather slip-ons that she favoured. They were rather like dancing shoes and they suited her. I was entranced by the curve of her cheek and by her trick of sweeping back a wing of hair, this time to watch her daughter. It was her only sign of impatience, although we were still half a mile from home and lunch would be waiting.
   "Ari," I asked; I suppose it was only to see her look in my direction, "what is it would you like most in the world?"
   I did not expect her to reply that I was what she wanted most in the world. This would now have been unlikely. I thought we were both happy with the way by which we had managed to reduce the surrounding levels of anxiety. Our code-word for this was Vernunftigkeit. Roughly speaking, in our context, this meant acting sensibly, at all times and in all weathers. By strict restraint of any open show of affection we had reduced her family's fears - especially, I hope, her husband's: I bore him no animosity, could see his goodness and admire his patience - that I might snatch her away.
   This had never been my aim. If he had not been able to see that he was a good man, of course then I would have done so in an instant. I would not have been prevented. Nor would I have accepted being prevented from seeing her. But here was a mother of two young girls, with an almost perfect husband, a fine home, a settled career, twenty years of shared life. To cause a rupture here, whatever happiness it might win for me would be brief. I knew that. Even better that this I had immediate experience of the pain it would cost her and her family - and that, inevitably, I would have to give her up again.
    One might as well try to take her heart from her body and try to plant it in another. And were there material considerations as well? I had just lost my own home. I was living in the one bedroom flat that I had bought - at its market-price - from Mags. Materially I was not an enticing prospect.
   The compensation was that I was accepted - or I was almost accepted - as another member of her family, lost but found: a cousin, possibly an uncle. When both of her parents were occupied, the little one and I would journey together around the village. Most often we end up in the Schlosspark, to sit in the sun beside the moat to feed the ducks. When her legs grew tired, or just to move a little faster, I would lift her up onto my shoulders, just as I did with my own son - they were almost exactly the same age - and she would sit there, clasping my brow, pulling my hair, and correcting with infinite childish patience and pleasure my vocabulary and my grammar.
   "Oh," Ari replied, absently -
   She was watching Elle pick up the snail, turn it around, and set it down again on a path towards the wall, sternly explaining its duties as she did so: "Your family will be waiting for you at home, and you should not go off like this alone, especially across a busy road!"
   - "I wish I could explain the world better to my children."
   She had been teaching now for nearly twenty years and we would meet young men and women who had been her pupils. By now I had been introduced to everyone in the inner town who mattered: to the butcher and wife; the baker and husband; the pretty young pharmacist by the Schloss; to the mayor and the pastor, and to his churchwarden, Herr Morgen. Several other teachers and neighbours were also well informed who I was, and had been, so that I was no longer examined quite so curiously as at first, when the words being whispered in every interested ear were: "Ihrer Englischer Soldat - der Offizier - ist wieder da!"
   Herr Morgen was my treasure. He had known Ari as a child, and he spoke the low, very low country German of his district, almost entirely untroubled by such subtleties as distinctions of gender, of declensions, tense, and so on, and so slowly and clearly that it was almost exactly like listening to a strong English country accent. The result was a wonderfully comprehensible slow rumble which I understood almost perfectly as he showed us around his church. It was an even more a sign of his regard for Ari that he gave no sign of noticing that in the more shaded corners and from time to time she and her guest were holding hands.
   We paused before the memorial of one of the richest and most powerful of the church's early mediaeval prince-bishops. His wife was there , by his side, but it was he, now four hundred years dead, who was determined to impress with his power. Very little of his face could be seen, and every part of his body was covered by armour, exquisitely reproduced in every detail by some forgotten genius with a chisel and maul, and the whole made even more imposing by the great scrolled boss of his codpiece protruding from under his corselette of chain-mail like a heavy little cannon. Potency on display.
   We had both seen this before, but a nasty dig with her elbow stopped a repetition of the comment I had made before, it would only have improved my reputation. "Hmm," I was about to remark, "Hätte ich nur die Nummer von seines Telefons"
   Occasionally inquisitive heads would still turn to look as they passed us in the narrow streets outside, but no-one was hostile. Only one aged aunt, when we visited her, had querulously asked: "But happened to the slim young man with the curly hair?"
   "Well," replied the slim young man with rather less curly hair - and far too eagerly. "I can do that." Impetuosity was always my failing sin. What I should have said, was: 'I have always tried, and I have always failed.'
   I was sure when I reached Cambridge that it was nearly in my grasp. I knew the hardest empirical truth about spirituality: that the experience of God's presence and nature is not an invention, not always. I was sure that given some objective, scholarly acceptance, some equally scholarly sympathy and help - and, of course, enough time - that I should soon be able to detect and describe its practical effect on history.
   Shielded by Professor MacKinnon from the many 'killers' he had warned me I would find infesting its darker corners, I was introduced by him to all the theologians, philosophers and scientists whom he pronounced 'sound'.
   This, I was to learn, was high praise. Most of these people had given themselves a name. They called themselves the Epiphany Philosophers, and from them I received ample acceptance, understanding, and sympathy. What they could not arrange for me, apparently, was time. One after the other, they finally gave their advice. It was always essentially the same: 'Wait.' As I had told Cecil King, soldiers do not like to wait. It makes them nervous: the enemy may be just the other side of the wire. To wait, in war, is to give advantage away.
   Two of them: Dorothy Emmet, the philosopher - who, Donald informed me in his private growl, was 'very sound' - and her particular friend, Margaret Masterman, at once insisted that I write a full account of my experience for their group's official journal: Theoria to Theory. They published it within the year.
   Margaret Masterman, I discovered subsequently, was the wife of the University's Professor of Moral Philosophy. She seemed to be involved in half a dozen major projects all at once, but her great passion was in developing languages for computer. At that time the possibility of humans ever conversing intelligently with machines seemed even more improbable than of humans talking intelligently with apes, and when she announced this achievement to me - very grandly, for she had a way of announcing almost anything as if she had just discovered a new continent: "You need have no fear now of being forgotten! We have placed a copy of your account in the Library of the British Museum! In years to come scholars go to read there just what a real spiritual experience is like!" - she must have found me surprisingly ungrateful.
   True it is that not everyone can persuade the British Museum what to place on its miles of shelf. But in her bluff, jolly style she was also implying that anyone might learn from it but me. I wrote a short lament at about this time to Lord David Harlech. He owned a television channel, which is a wonderful thing in itself. He was also famously cultured and well-connected, and I thought he might be eventually a better bet than Cambridge. He asked to keep his copy. I lost mine; and some years later he was killed in a collision in his car. My poem described the misfortune of a traveller who finds a great jewel, wondrously carved, in the desert wastes. After more years of travel he finds his way finally to a school of philosophers and offers it to them. They take it from him - and send him on his way.
   I was deeply confused by their prevarication. These immensely clever people confirmed that what I had brought them was what I thought it was. They handed me about like a parcel. But then: nothing. They had nothing to suggest except: 'Wait'.
   It seemed another confirmation of a discovery I had made in Geoffrey Keble. Almost his last words to me had been, "For Heavens' sake, don't let yourself become one of those dreadful charismatics!"
   At first I understood this only very vaguely. I had been sent to Geoffrey by Dame Ruth Railton and had found a very patient, kind, and nearly saintly man. It was he who told me of the priests he had known who had slowly lost their sense of vocation and the agonies of conscience they had to feel as they are obliged to continue to pretend that it existed still. He too had accepted my story. He too had told me how much it uplifted his spirit and refreshed his faith. Standing on the step of his house to wave goodbye for the last time: "All will be well," were his words, "And all manner of things shall be well!"
    But then he too had offered nothing more - except that he did not like charismatics. What had they done - what might they do - that is so alarming?
   Mostly, of course, they are just charlatans. So are many priests. This is not unusual. Certainty is what the mass of people yearn for: certainty of access to God
   Anyone is a charlatan who offers this as a paid service. Priests call on history to prove the worth of their wares. Charismatics hustle. With only a lifetime to use, they have no choice. But after thousands of years of history, of temples and idols created, temples and idols destroyed, temples and idols rebuilt; after centuries of schisms and wars, of jihad and crusades and pogroms, heretics and witch-hunts; even world wars - all to discover, always in part, which of the religions of mankind is most favoured by God - after all this enormous effort, treasure, misery and bloodshed, very few of any of the established faiths wish to think there may be a shorter, simpler route to God.
   Charismatics tend to say that they know such a route. And not all are to be despised. One of them said: "All you have to do is turn." Another explained: "God is closer to you that your neck-vein."
   But history says - and says with very great dismal horrid certainty - that not even arguments as simple as these can bring peace to mankind. The grim truth is that arguments - for most people - are completely unimportant. One might produce an argument for the existence of a direct route to God even simpler and more easily tested, one might demonstrate daily that it is as a path to God as straight and broad as Brooklyn Bridge - and most people will simply look away. It is not what they want.
   Arguments are important to people like my Epiphany friends - who, of course, I did like. They are life and death, fame, tenure publication, for thousands of philosophers: professional, freelance, and amateur, whose quacking, gabbling, fretting, fighting, endless taking off and circling and setting down again seems to them to fills the whole universe with their importance. But the masses?
   The masses are unimpressed. All that impresses the masses are numbers: preferably they should be big numbers (although there is a curious twist to this tale which you may have seen at once), and this is not least the case because this is what they best understand about themselves: that they are numerous.
   Only scientists are really convinced by arguments, but scientists, despite their personal and their collective power, are only an insignificant fraction of mankind. The majority of people are convinced of the truth of a belief by the size of the number who hold that belief to be true. The usual, but not the only test of its truth, is that the more people who think, believe, and act as they, a majority, do, the more likely it is that their thought, belief, or act, is correct
   This curious arithmetic may be applied to a very wide variety of questions of veracity. People may first count themselves important in being one of many: of the approximately one point six billion people called Christian, for example, whilst being also as of more importance - in this case the lesser number, whilst still considerable denoting a rather more exclusive class - that any of the approximately two point three billion people called Muslim.
   These numbers are invented, but the point to be made is that truth is sensed by human minds as emotion - not, as perhaps by machines, as a point by point connection by logical rules of axioms to a conclusion. For the greater number of people - far greater than those who call themselves 'scientists', but even here there is some overlap - truth is what is wanted to be believed. In this kind of emotional calculus numbers matter in assuring people either that their belief is correct because a lot more people also believe, or, but not at all paradoxically, that there belief is correct because fewer people believe it.
   Much the same kind of arithmetic is used to claim the special importance of almost any group whose historical identity can be followed through any impressive number of generations: as by, for example, the Jews inevitably; but also the Copts of Egypt; the Nestorians of Iraq; the Dogon of the Upper Niger; even Freemasons.
    Aristocracies also used to be convinced by this persuasion; and somewhat comically still are, despite the fact that over three hundred years after the English cut of their king's head and two hundred after the French decapitated theirs and a century and a half since the Germans replaced monarchs by parliaments, there are now more many more titles in Europe than ever before.
   That large numbers are required to describe either the largest or oldest of these groups is invariably taken as the evidence that they must be God's work. Who else can demonstrate power throughout history on such a scale? Some like to substitute a country's GNP, or its natural resources, or its numbers of PhDs, as evidence of God's special regard for that country. The essential fact is the same. Large numbers impress - and before we scoff at such simplicity, notice that virtually the same kind of evidence is used to support the theory of natural evolution: that the larger number of descendants with a particular characteristic proves the survival value of that characteristic, whatever it may be, even if what it actually does to confer its advantage has not been discovered.
   I am quite sure there is a simpler and more direct route to God than orthodox religions offer or can provide. I never thought this to be of first importance, for at present I do not believe that anyone can control it. It may not be impossible always. If a series of apparent accidents may forward material evolution, spiritual evolution may be forwarded in much the same way. No spectacular epiphany may be needed to recognize that this. We may only need to recognize spiritual reality other than only as an afterlife
   At Cambridge I tried not to show my disappointment that my new friends were actually as stubbornly obtuse and just as much attached to their own agenda as my old friends had been. These were all very eminent people and I was still quite shy. It would have been possible for me to tell them that I was not impressed by their efforts, but this would have achieved very little and would have hurt my champion most of all.
   Professor MacKinnon would invite me to meet him fairly frequently at his Divinity School, usually on a Friday afternoon, when he would offer me tea and a plate of biscuits together with a wonderful unstoppable lecture on whatever topic was occupying his thoughts at the time. He very rarely invited me to say anything: which was all right; I had very little to say. Once when he learnt his college was serving strawberries and cream, he took me there. I was then still quite slim. Either because of this or the fact that his others students were always hungry, he always insisted that I eat his share of biscuits as well and two helpings of the strawberries and all the cream. It was a surprise to learn that to many of his theological colleagues this deeply kind, learned, and patient man was a kind of Vandal, Goth, or Hun.
   As Cambridge Emeritus Professor of Divinity, there was Donald Mackenzie MacKinnon had no-one to fear. He might have enjoyed a life of blameless, saintly, and anodyne serenity. Instead he was a holy terror. The MacKenzie and MacKinnon bloodlines were almost certainly originally Viking - and it was perhaps with this in mind that he had entitled one of his own best-known works: Stripping the Altars.
   No Viking, or Vandal or Hun ever stripped Christian altars as bare of their treasures, ornaments and hangings, smashed their reliquaries and tore up their texts as Donald stripped Christendom's altars to bare wood and stone, wrecked their ornaments, tore up whole libraries of holy works and dumped them too into the flames.
   He was quietly fierce but, as he grew older, increasingly determined. He challenged all pretentious arguments. He attacked entrenched ideas, threatened the spreading borders of verbosity, battered even the walls of citadels.
   His weapon was as simple and as devastating as it was extraordinary. God, he insisted, had not sacrificed Himself only to demonstrate His ability to resurrect Himself. Of course God can resurrect Himself. This pantomime made no sense. It had no point.
   God, MacKinnon insisted, had made Himself a man; had then allowed Himself to be crucified as a man; to die so horribly, so meanly, so apparently pointlessly as a man, being abandoned by this time by everyone of his followers, for one reason only. It was to demonstrate His contempt for all the stupidity, cruelty, partiality and selfishness of all the cultures of the world. Cultures were humanity's attempts to define, contain and control Him. This is what God rejected on the Cross.
   God is not in history, or of history, or for history. God just is. Even the breathy twaddle of post-modernists, deconstructors of all sense and meaning, can be called upon in this instance to make his meaning clearer: for the God who is in, of, and for history, is also very obviously a social construct. And this social construct, said Donald, is not God.
    The consequence of this conclusion, of course, is exactly the same as that which brought Mohammed fourteen hundred years ago to destroy the idols of Mecca and to strip the altars of their shrines of treasures and to distribute them to the poor. MacKinnon insisted that a true attempt at theology can never stop. It must always be prepared to strip itself, to admit its poverty, to declare its ignorance, confess its mistakes, and start again.
   This was too much for most to follow. Even his own pupils began to call him brilliant but obscure. His connection with the Epiphanies was only that they were dedicated to the then becoming a highly fashionable idea of reconciling science and religion. He thought this important too. But science, his view, should be a part of theology. It could never, should never, pretend to be its antithesis. This was hubris too.
   In retrospect the most remarkable coincidence is that it was this man whom I met first, and that he suited so exactly my own intuition. A thousand others at that critical time might have been disastrously discouraging. I would never say that like was drawn to like - he was much more clever - but he certainly understood how close to God's fire I had been, and how carefully I needed to be protected, and he protected me. I love him for this.
   Equally we both understood that unless everyone involved is prepared to admit their awesome probability that our knowledge of reality may still be insignificant attempts to 'return to the fundamentals' of religions and to marry them somehow with the 'fundamentals of physics' - crudity sometimes has its place - is like nothing so much as pissing straight into the wind.
   Later, in Oxford, Alan Bullock, famous for his acclaimed biographies of Hitler and Stalin, was also to tell me that be believed that Europe could only be saved from resurgent fascism by this same reconciliation. Unfortunately I arrived in Cambridge as many of its scientists were getting alarmed by the moral vacuum that science was leaving behind as it shredded traditional religious belief, and when some philosophers - alas, very few with any real scientific grease and grit under their nails - were beginning to glimpse fresh hope for faith in the gaps in understanding science was beginning to find in itself.
   During most of my time at Cambridge, Dorothy Emmet and Margaret, two immensely talented, energetic, clever women, having got from me the description of the 'real spiritual experience' that they both wanted - and which they both certainly treated as important - then appeared more fascinated by the apparently psychic powers of the Israeli Uri Geller. It was here, they hoped, where modern science falters to explain, that God would show His presence to the world. This was pitiful nonsense of course: even rather pathetic. Who was I to tell them that Science advances precisely because and even where it finds faults in itself. Its servants are not so weak-spirited to stop, to throw up their hands, and declare: 'Haha! Because we cannot understand, this has to be God's work!' Piffle.
   Even so, the basic problem was the same for them and for me. It was to find some evidence for the effect on the world of the force that we all agreed to call 'God'. We also agreed that this force should be called supernatural: not in the sense of being weird, spooky, or unpredictable: rather that it must be an overriding force of nature.
   And at precisely at this point, we parted company. They believed God would display an unmistakably supernatural action in the physical world which physical laws could not explain - and that therefore they must join forces with scientists investigating the physical world, and looking for - well, for what exactly?
   This was never clear. They hadn't really a clue of what it was they were looking for. How would they recognize it as it? They were really almost exactly like Pooh and Piglet on the Hunt for the Heffalump. What was perfectly clear was that scientists looking for new research grants in virtually any field that might be remotely associated with their search for this Great Nebulosity could milk many equally hopeful but misguided foundations by collaborating. My friends were their useful fools.
   Truth to tell: I had not much idea either. I too was still looking for an argument: a supremely clever, subtle, and even possibly a scientific argument, one which would strike to the very heart of the same Great Nebulosity and condense it to a perfect description of a greater reality than even science has envisaged. That such arguments, as I was finally to realize, would always be useless in the larger world had not then occurred to me. I did believe, however, that the effects that I wanted to find and describe were far more likely to be in human behaviour than in any exceptions to physical laws.
   And this, therefore, was where I had been looking for, fruitlessly, for years and years, right up to that moment on that bright spring morning as we waited for little Elle to decide the fate of her snail. Up to this moment I had found precisely nothing. Except that I had learnt why men, women, sometimes even children, will kill, torture, oppress and abuse other people and their children with so much passionate conviction that they are obeying God's plan. To admit otherwise: that they do not know the plan of God - is unbearable.
   This was not the evidence that I wanted. I wanted to show that God does not just inspire odd, mad eccentrics like me, but multitudes of people, generations of people, even total strangers and once warring states, to act more generously and tolerantly towards others. But of course human personalities are bipolar. This is the other extreme, the other pole. There is here, too, the same correlation of fear of uncertainty and violence: the greater the fear that their faith contains mistakes, the greater the violence that people are willing to use to prove that it has none.
   As always, too soon, before my coach could turn back into a pumpkin and its coachmen into mice - which could an even more striking transformation at 30,000 feet above the English Channel - I was teaching in England again. There were already strains appearing in my love affair that I was blind to. I wanted to think, even if it was going nowhere, that it was stable. With that mixture of charity and ruthlessness that is so often the despair of we more fragile males, one of my confidants later told me this was my main mistake. Sabines do not see strength in restraint.
   But I was determined now to return to my duty. If those po-faced savants could not solve this problem - and if they would also not help me to do it - then, damn them and the prince-bishop's codpiece, all arrogance and vanity: I would do it alone.
   I had then been teaching mathematics for over fifteen years. For the reasons I have explained [Ed; not yet] I was still in the same school and still teaching in exactly the way I had been taught. I was conscientious and I worked hard. My examples of what my pupils had learn I chose with care, gave clear instructions on how to solve them, then tirelessly demonstrated how these methods might be varied to solve different problems. I marked all their work just as carefully, every error was underlined and corrected. I needed a new red ink pen every month. I tested religiously. I did everything I was supposed to do.
   And yet here in my classroom repeatedly appeared a surprise - at least to me. Every year a fraction of my pupils always failed.
   The majority usually did well, even very well. I could have been content with this. The fact that in every year almost the same fraction always failed I might have ignored. It was expected. This slow disintegration of every class - especially in mathematics - is not regarded as unusual. Most schools expect it. After four or five years a class can only very rarely still be taught mathematics together. Usually the pupils need to be divided into at least an upper and a lower stream. Some schools end up with four, five, and even six different 'sets' - the lowest being apparently unable by then to follow even the simplest instructions.
   Virtually all education systems accept this annual attrition. Mathematics is supposed to be hard. It is explained by something called 'mathematical aptitude'. Some children have lots of this aptitude. Some have less. Some have none at all.
   One day, without warning, one of my best pupils ran over this belief like a dumper truck. He also destroyed my belief that I knew how to teach.
   I had just finished one of my endless demonstrations. Examples filled the board behind me. I had then set the class an exercise to work through; called for them to be silent. I had just settled behind my desk and was enjoying a few moments' repose.
   "I've finished." a voice said beside me. I examined its source with an entirely insincere appearance of pleasure. A neat exercise book was placed in front of me. The owner, a smartly dressed twelve year old, placed a peremptory finger on his neatly numbered solutions: "There they all are."
And, yes, indeed. There they all were. Well, well. And all correct. Clearly lots of aptitude. I ticked them off, one by one. At the same time I was wondering what else I could give this little blighter to do. Then I had an interesting idea.
"I know!" I told him, with what was intended to be infectious enthusiasm. "They are all right. That's very good. Now, why don't you go back to your desk, and write down exactly what you think your brain is doing to get all these correct!"
   It seemed a brilliant notion; and given that this young Einstein would be working on it, the result might be revealing. Far more revealing was to see his smile disappear like a chalk under a wet cloth. He literally recoiled: he jumped as if I had poked him.
   "No fear!!" he blurted: and normally he was polite: "If I try to do that, I'll start getting everything wrong!"
   I stared at him: at first with astonishment, then dawning delight. He glowered back at me with no pleasure at all. I liked this boy. I think his name was Robert. He was smart, clever, polite; usually, I think, he liked me. Now he was frozen with horror by what I had asked him to do.
   Once Newton was asked how he had succeeded in understanding gravity. It is said he replied: "By keeping it continually in the forefront of my mind."
   With respect to the Great Geometer, as Blake portrayed him, the forefront of a mind may be continually aware that a problem remains unsolved, but I suggest that it is in the background of the mind, behind all consciousness, that most activity takes place. It was once believed that all the mind's activity would be understood eventually in purely logical steps. No longer. Some thinking is certainly logical. Logic is very useful, but the process of finding solutions to problems when none is known before is definitely a far more rickety affair. How is it that after days or weeks of knowing in the forefront of one's mind that a problem exists - in my case after years - insight can suddenly strike like summer lightning from the back of the mind: so that one knows: 'That is the solution'?
   First there is a known inability to achieve some aim. Thinking about it consciously one collects together some background; some history; and even some knowledge of what has failed; and perhaps some vague idea of what may fit the bill - but it is best for this to be a very crude: too much detail can get badly in the way -.
And then? Wait! The mind begins the process in the background of making endless attempts to create a new, coherent pattern, as if trying millions of ways to fit a jigsaw together of millions of neurones and their billions of synapses, all fickle and mobile, constantly changing their connections with others and varying the strengths of signals between them. Then, suddenly: Snap!
   Of course my suggestion was unfair. I had not the least idea what he might have done. But his reply was a true revelation. He had just solved my mystery. He had told me why there was always a fraction in the class that failed..
   Whilst he picked up his book but continued to stand mutinously by me, I looked at the rest of the class. They were a good class and they were all working more or less silently. Occasionally someone would whisper to another, but as a whole they were all working - as I had told them - silently.
   'He's doing them all automatically!' And so are they! This was appalling, disastrous. Within a few more years, of course most would begin to fail. But most would also have to learn to be continually dishonest to cover up the fact that they - and their friends - simply do not understand what they are doing. Tests would never discover this.
   When I continued to sit silently, offering no further suggestion Robert snatched up his book and marched back to his place. He has always been clever at maths It was in his reports. He had been first in his class all through primary school. But suddenly I knew what made him so clever. This 'natural aptitude' is mainly just the ability to copy, almost without fault, all the actions that I showed the class. It has nothing necessarily to do with understanding. For ten years I had not only been looking in the wrong direction, I had been asking the wrong questions thousands of times a year.
   Whenever I asked a pupil or class: "Do you understand that?" what the majority of children believed that I meant was: "Do you understand what to do?'
This is all that the majority of young children ever understand understanding to mean. Understanding for them is not why to do something, but only what to do. From the earliest age all children begin to learn like this. Using their innate abilities and responses, combined with memory, they learn how to bring themselves rewards or, alternatively, to avoid pain.
   The little blighter - he was now back at his desk, still stiff with hurt - had just shown me what was wrong with my teaching. By inference, I now knew what was wrong with almost everyone's teaching. Being satisfied with my pupils' ability to copy my actions; never properly investigating what they knew of reasons; by mainly rewarding their accuracy in imitating - and also learning the prime value of successful deceit - I was simply driving most of them into a mental cul-de-sac as well as a moral jungle.
   Mathematical proofs can be presented as demonstrations. That is not what they really are. Authority can be demonstrated. Power can be demonstrated. Mathematical proofs are arguments. They are not commands to be uncritically, thoughtlessly, impersonally obeyed - and for this obedience to be rewarded by authority figures like me. That would be the source of Alan Bullock's 'resurgent fascism'.
   And I was helping it to happen


11/05/05


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