Student's future, not teacher's past Teachers should prepare the student for the student’s future, not for the teacher’s past. Richard Hamming, The Art of Doing Science and Engineering: Learning to Learn Ambitions for someone else's mind teaching
Ambitions for someone else's mind "One of the first things I learned about teaching is that you have to respond to each student individually. You don't start with any idea of what they should be doing, who they're supposed to be, or what their performance level is, and you don't compare them to one another. You simply start with each one of them wherever they are and develop the process from there. "...I would think that the most immoral thing one can do is have ambitions for someone else's mind." Lawrence Wechler & Robert Irwin, Seeing Is Forgetting the Name of the Thing One Sees Student's future, not teacher's pastI can only conceive for you teaching
Learning via teaching The course material changes 15% each year, as the book currently in progress becomes part of the course years before it is finally published. I detect incoherencies and mistakes in the new material while teaching. This leads to refinements or even throwing stuff out from the forthcoming book. A good way to learn about something is to teach it. Edward Tufte, Seeing With Fresh Eyes teaching
Why we should read Unfortunately, the program met its end because the show’s approach opposed the contemporary standard format of children’s television: teaching kids how to read, rather than Reading Rainbow’s objective, which was to teach kids about why they should read. Reading Rainbow had a long run, lasting twenty-three years, but its cancellation feels like a symbolic blow. Education, just like climbing the ladder, must be balanced between How and Why. We so quickly forget that people, especially children, will not willingly do what we teach them unless they are shown the joys of doing so. The things we don’t do out of necessity or responsibility we do for pleasure or love; if we wish children to read, they must know why. Frank Chimero, The Shape of Design teachingreading
The curse of knowledge The better you know something, the less you remember about how hard it was to learn. The curse of knowledge is the single best explanation I know of why good people write bad prose. It simply doesn’t occur to the writer that her readers don’t know what she knows - that they haven’t mastered the patois of her guild, can’t divine the missing steps that seem too obvious to mention, have no way to visualize a scene that to her is as clear as day. And so she doesn’t bother to explain the jargon, or spell out the logic, or supply the necessary detail. Steven Pinker, The Sense of Style Such tortuous syntax knowledgeteachingux
The cultivation of inherent faculties Rousseau’s Emile argued that education is the cultivation of inherent faculties, rather than the imposition of knowledge. Taking this path, Pestalozzi recast the teacher as a protective figure who follows and stimulates the child’s inherent intelligence. Ellen Lupton & J. Abbott Miller, The ABC's of ▲■●: The Bauhaus and Design Theory teaching
It cannot be taught in words How to be a great painter cannot be taught in words; one learns by trying many different approaches that seem to surround the subject. Art teachers usually let the advanced student paint, and then make suggestions on how they would have done it, or what might also be tried, more or less as the points arise in the student’s head—which is where the learning is supposed to occur! Richard Hamming, The Art of Doing Science and Engineering: Learning to Learn teachingart
The wisdom of the apprentice Diderot's solution to the limits of language was to become himself a worker. Become an apprentice and produce bad results so as to be able to teach people how to produce good ones. Richard Sennett, The Craftsman learningteachingwisdom
Institutions of learning Institutions of learning should be devoted to the cultivation of curiosity and the less they are deflected by considerations of immediacy of application, the more likely they are to contribute not only to human welfare but to the equally important satisfaction of intellectual interest which may indeed be said to have become the ruling passion of intellectual life in modern times. Abraham Flexner, The Usefulness of Useless Knowledge teaching
Not of method but of heart In the end, teaching is a matter not of method but of heart. The teacher actually is right and always will gain confidence when he admits that he does not know, that he cannot decide, and, as it often is with color, that he is unable to make a choice or to give advice. Besides, good teaching is more a giving of right questions than a giving of right answers. Josef Albers, Interaction of Color teachingquestions
Results of a search This book presents results of a search, not of what is academically called research. In addition to the dedication of this book, I should like to state that my students in color have taught me more color than have books about color. Josef Albers, Interaction of Color A Search for Structure teaching
The great teacher The good teacher imparts a satisfying explanation; the great teacher unsettles, bequeaths disquiet, invites argument. Richard Sennett, The Craftsman teaching
This is how I lived Rather than convey "be like me," better parental advice should be more indirect: "This is how I lived" invites the child to reason about that example. Such advice omits "Therefore you should..." Find your own way; innovate rather than imitate. Richard Sennett, The Craftsman lifeteaching
Multiple choice Intuitive leaps that open up a problem are impossible to test using multiple-choice questions. These leaps are an exercise of associating unlikely elements. There is no correct answer to the question "Are city streets like arteries and veins?" Richard Sennett, The Craftsman teaching
I think very well of him indeed When I was still doubtful as to his ability, I asked G.E. Moore for his opinion. Moore replied, ‘I think very well of him indeed.’ When I enquired the reason for his opinion, he said that it was because Wittgenstein was the only man who looked puzzled at his lectures. — Bertrand Russell David Markson, Wittgenstein's Mistress understandingteaching
Technical viruosity "You have to develop students' confidence and prove to them in their own performance that there isn't anything they won't be able to accomplish technically, eventually, given a lot of application, before you can begin to convince them that that kind of technical virtuosity doesn't deserve the focus they have been led to believe it does by a performance-oriented culture." Lawrence Wechler & Robert Irwin, Seeing Is Forgetting the Name of the Thing One Sees teachingskill
Learning how to learn "Once you learn how to make your own assignments instead of relying on someone else, then you have learned the only thing you really need to get out of school, that is, you've learned how to learn. You've become your own teacher." Lawrence Wechler & Robert Irwin, Seeing Is Forgetting the Name of the Thing One Sees learningteaching
Immer wieder My attitude toward Alexander’s teachings prior to experiencing the places and spaces realized in his practice was akin to what Alan Watts said about certain teachings in The Bible: Sometimes, as St. Paul pointed out, commandments are not given in the expectation that they will be obeyed, but in the expectation that they will reveal something to those who hear them. Today, my answer is unequivocal. My interpretive lens: literal. Time and again, across cultures and continents and islands and oceans, in five different places now I’ve examined the evidence, and am persuaded. Nicht nur einmal: immer wieder. Dan Klyn, Einmal Ist Keinmal blog.usejournal.com religionteaching
No-nonsense Admittedly, though, however alert and aware I felt, I was probably more aware of the effects the lecture seemed to be having on me than of the lecture itself, much of which was over my head, and yet was almost impossible to look away from or not feel stirred by. This was partly due to the substitute's presentation, which was rapid, organized, undramatic, and dry in the way of people who know that what they are saying is too valuable in its own right to cheapen with concern about delivery or 'connecting' with the students. In other words, the presentation had a kind of zealous integrity that manifested not as style but as the lack of it. I felt that I suddenly, for the first time, understood the meaning of my father's term 'no-nonsense', and why it was a term of approval. David Foster Wallace, The Pale King styleteaching
Interaction of Color A Book by Josef Albers yalebooks.yale.edu The deception of colorPractice before theory50 redsNot the what but the howScotopic seeing+11 More Irwin Fluorescents colorgraphicscommunicationteaching
Welcome to class An Essay by Bill Tozier vaguery.com I differ from almost all your previous instructors in three ways: First, I acknowledge that this is true, whereas they have for the most part lied to you (and themselves) and declared you competent, even though they’ve had to re-train you from scratch in every damned class. Second, unlike them I intend to do something about it. And, third, in order to do something about it, I will let you—no, make you—cheat. teaching
The Art of Doing Science and Engineering: Learning to Learn A Book by Richard Hamming www.amazon.com The Art of Doing Science and Engineering is the full expression of what "You and Your Research" outlined. It's a book about thinking; more specifically, a style of thinking by which great ideas are conceived. Gifts of knowledge to humanityHamming-greatnessIt cannot be taught in wordsPreparing for problemsStudent's future, not teacher's past+33 More You and Your ResearchChance favors the prepared mindSerendipity learningscienceengineeringdiscovery
Gifts of knowledge to humanity There are many commonalities we can admire in these endeavors: the dazzling leap of imagination, the broad scope of applicability, the founding of a new paradigm. But let’s focus here on their form of distribution. These are all things that are taught. To “use” them means to learn them, understand them, internalize them, perform them with one’s own hands. They are free to any open mind. In Hamming’s world, great achievements are gifts of knowledge to humanity. Bret Victor knowledge
Hamming-greatness Hamming-greatness is tied, inseparably, with the conception of science and engineering as public service. This school of thought is not extinct today, but it is rare, and doing such work is not impossible, but fights a nearly overwhelming current. Bret Victor
It cannot be taught in words How to be a great painter cannot be taught in words; one learns by trying many different approaches that seem to surround the subject. Art teachers usually let the advanced student paint, and then make suggestions on how they would have done it, or what might also be tried, more or less as the points arise in the student’s head—which is where the learning is supposed to occur! teachingart
Preparing for problems I firmly believe in Pasteur’s remark, “Luck favors the prepared mind.” In this way I can illustrate how the individual’s preparation before encountering the problem can often lead to recognition, formulation, and solution. Chance favors the prepared mind
Student's future, not teacher's past Teachers should prepare the student for the student’s future, not for the teacher’s past. Ambitions for someone else's mind teaching
If you know what you are doing In science, if you know what you are doing, you should not be doing it. In engineering, if you do not know what you are doing, you should not be doing it.
The homogeneity of knowledge The standard process of organizing knowledge by departments, and sub-departments, and further breaking it up into separate courses, tends to conceal the homogeneity of knowledge, and at the same time to omit much which falls between the courses. Another goal of the course is to show the essential unity of all knowledge rather than the fragments which appear as the individual topics are taught. In your future anything and everything you know might be useful, but if you believe the problem is in one area you are not apt to use information that is relevant but which occurred in another course.
An information service society Society is steadily moving from a material goods society to an information service society. At the time of the American Revolution, say 1780 or so, over 90% of the people were essentially farmers—now farmers are a very small percentage of workers. What will the situation be in 2020? As a guess I would say less than 25% of the people in the civilian workforce will be handling things; the rest will be handling information in some form or other. In making a movie or a tv program you are making not so much a thing, though of course it does have a material form, as you are organizing information. Auditory Hallucinations from Offworld MegafarmsData Farming farming
From hands to machines It has rarely proved practical to produce exactly the same product by machines as we produced by hand. Mechanization requires you produce an equivalent product, not identically the same one. The Nature and Art of WorkmanshipThe Real World of Technology
A matter of choice and balance More than ever before, engineering is a matter of choice and balance rather than just doing what can be done. And more and more it is the human factors which will determine good design—a topic which needs your serious attention at all times.
Central planning gives poor results Central planning has been repeatedly shown to give poor results (consider the Russian experiment, for example, or our own bureaucracy). The persons on the spot usually have better knowledge than can those at the top and hence can often (not always) make better decisions if things are not micromanaged. The management strategy that saved Apollo 11 management
"Real programmers" At the time the Symbolic Assembly Program (SAP) first appeared I would guess about 1% of the older programmers were interested in it—using SAP was “sissy stuff,” and a real programmer would not stoop to wasting machine capacity to do the assembly. programming
Using your own expertise Almost all professionals are slow to use their own expertise for their own work. The situation is nicely summarized by the old saying, “The shoemaker’s children go without shoes.” The cobbler's children go barefoot
History tends to be charitable History tends to be charitable. It gives credit for understanding what something means when we first do it. But there is a wise saying, “Almost everyone who opens up a new field does not really understand it the way the followers do.” The reason this happens so often is the creators have to fight through so many dark difficulties, and wade through so much misunderstanding and confusion, they cannot see the light as others can, now the door is open and the path made easy. invention
Mass production of variable products Computers have opened the door much more generally to the mass production of a variable product, regardless of what it is: numbers, words, word processing, making furniture, weaving, or what have you. They enable us to deal with variety without excessive standardization, and hence we can evolve more rapidly to a desired future! The Nature and Art of Workmanship
Thinking is a matter of degree Perhaps “thinking” is not a yes/no thing, but maybe it is a matter of degree. I Am a Strange Loop cognition
Making coal miners into programmers Many humans at present are not equipped to compete with machines—they are unable to do much more than routine jobs. There is a widespread belief (hope?) that humans can compete, once they are given proper training. However, I have long publicly doubted you could take many coal miners and make them into useful programmers. Manual labor
A minimum size to fish There is the famous story by Eddington about some people who went fishing in the sea with a net. Upon examining the size of the fish they had caught, they decided there was a minimum size to the fish in the sea! Their conclusion arose from the tool used and not from reality. Every Tool Shapes the Task tools
Spelled with a lowercase letter I used to tease John Tukey that you are famous only when your name was spelled with a lowercase letter such as watt, ampere, volt, fourier (sometimes), and such. fame
Why it can't be done Moral: when you know something cannot be done, also remember the essential reason why, so later, when the circumstances have changed, you will not say, “It can’t be done.” When you decide something is not possible, don’t say at a later date it is still impossible without first reviewing all the details of why you originally were right in saying it couldn’t be done.
Intellectual shelf life Let lab equipment lie idle for some time, and suddenly it will not work properly! This is called “shelf life,” but it is sometimes the shelf life of the skills in using it rather than the shelf life of the equipment itself! I have seen it all too often in my direct experience. Intellectual shelf life is often more insidious than is physical shelf life.
Beware of jargon Beware of jargon—learn to recognize it for what it is, a special language to facilitate communication over a restricted area of things or events. But it also blocks thinking outside the original area it was designed to cover. Jargon is both a necessity and a curse.
You cannot consume what is not produced The only law of economics that I believe in is Hamming’s law: “You cannot consume what is not produced.” There is not another single reliable law in all of economics I know of which is not either a tautology in mathematics or else sometimes false. Scientific writing economics
I walked the crest of the dune Thus piece by piece I walked the crest of the dune, and each time the solution slipped on one side or the other I knew what to do to get back on the track. euphony
God loved sand “God loved sand, He made so much of it.” I heard, inside myself, that we were already having to exploit lower-grade copper mines, and could only expect to have an increasing cost for good copper as the years went by, but the material for glass is widely available and is not likely to ever be in short supply.
The Hawthorne effect At the Hawthorne plant of Western Electric, long, long ago, some psychologists were trying to improve productivity by making various changes in the environment. They painted the walls an attractive color, and productivity rose. They made the lighting softer, and productivity rose. Each change caused productivity to rise. One of the men got a bit suspicious and sneaked a change back to the original state, and productivity rose! Why? It appears that when you show you care, the person on the other end responds more favorably than if you appear not to care. The workers all thought the changes were being made for their benefit and they responded accordingly. In the field of education, if you tell the students you are using a new method of teaching, then they respond by better performance, and so, incidentally, does the professor. A new method may or may not be better, indeed it may be worse, but the Hawthorne effect, which is not small in the educational area, is likely to indicate that here is a new, important, improved teaching method. It hardly matters what the new method is; its trial will produce improvements if the students perceive it as being done for their benefit.
What you learn for yourself What you learn from others you can use to follow; What you learn for yourself you can use to lead.
The unreasonable effectiveness of mathematics We now see that all this “truth” which is supposed to reside in mathematics is a mirage. It is all arbitrary, human conventions. But we then face the unreasonable effectiveness of mathematics. Having claimed there was neither “truth” nor “meaning” in the mathematical symbols, I am now stuck with explaining the simple fact that mathematics is used and is an increasingly central part of our society, especially in science and engineering. We have passed from absolute certain truth in mathematics to the state where we see there is no meaning at all in the symbols—but we still use them! We put the meaning into the symbols as we convert the assumptions of the problem into mathematical symbols, and again when we interpret the results. Hence we can use the same formula in many different situations—mathematics is sort of a universal mental tool for clear thinking.
What can be put into words It is not evident, though many people, from the early Greeks on, implicitly act as if it were true, that all things, whatsoever they may be, can be put into words—you could talk about anything: the gods, truth, beauty, and justice. But if you consider what happens in a music concert, then it is obvious that what is transmitted to the audience cannot be put into words—if it could, then the composer and musicians would probably have used words. All the music critics to the contrary, what music communicates cannot (apparently) be put into words. Similarly, but to a lesser extent, for painting. Poetry is a curious field where words are used but the true content of the poem is not in the words! Everything that can be saidWhereof one cannot speak
Initial psychological distance Creativity seems, among other things, to be “usefully” putting together things which were not perceived to be related before, and it may be the initial psychological distance between the things which counts most.
Tossing an idea around Can we do anything to increase creativity? There are training courses, and books, as well as “brainstorming sessions” which are supposed to do this. Taking the brainstorming sessions first, while they were very fashionable at one time, they have generally been found to be not much good when formally done, when a brainstorming session is carefully scheduled. But we all have had the experience of “tossing an idea around” with a friend, or a few friends (but not a large group, generally), from which insight, creativity, or whatever you care to call it, arises and we make progress. SceniusThe Small Group
Prepare your mind for the future Probably the most important tool in creativity is the use of an analogy. Something seems like something else which we knew in the past. Wide acquaintance with various fields of knowledge is thus a help—provided you have the knowledge filed away so it is available when needed, rather than to be found only when led directly to it. This flexible access to pieces of knowledge seems to come from looking at knowledge while you are acquiring it from many different angles, turning over any new idea to see its many sides before filing it away. This implies effort on your part not to take the easy, immediately useful “memorizing the material” path, but to prepare your mind for the future.
Stuck with a problem If you cannot drop a wrong problem, then the first time you meet one you will be stuck with it for the rest of your career.
Experts and impossibility If an expert says something can be done he is probably correct, but if he says it is impossible then consider getting another opinion.
Always time to fix it later As the saying goes: There is never time to do the job right, but there is always time to fix it later, especially in computer software!
The average adult Averages are meaningful for homogeneous groups (homogeneous with respect to the actions that may later be taken), but for diverse groups averages are often meaningless. As earlier remarked, the average adult has one breast and one testicle.
Solution to evaluation and back again A second reason the systems engineer’s design is never completed is the solution offered to the original problem usually produces both deeper insight and dissatisfactions in the engineers themselves. Furthermore, while the design phase continually goes from proposed solution to evaluation and back again and again, there comes a time when this process of redefinement must stop and the real problem be coped with—thus giving what they realize is, in the long run, a suboptimal solution. Co-Evolution of Problem and Solution Spaces in Creative Design
The heart of systems engineering While the client has some knowledge of his symptoms, he may not understand the real causes of them, and it is foolish to try to cure the symptoms only. Thus while the systems engineers must listen to the client, they should also try to extract from the client a deeper understanding of the phenomena. Therefore, part of the job of a systems engineer is to define, in a deeper sense, what the problem is and to pass from the symptoms to the causes. Just as there is no definite system within which the solution is to be found, and the boundaries of the problem are elastic and tend to expand with each round of solution, so too there is often no final solution, yet each cycle of input and solution is worth the effort. A solution which does not prepare for the next round with some increased insight is hardly a solution at all. I suppose the heart of systems engineering is the acceptance that there is neither a definite fixed problem nor a final solution, rather evolution is the natural state of affairs. This is, of course, not what you learn in school, where you are given definite problems which have definite solutions. What the problem isComplete and consistent requirements