Showing posts with label math teaching. Show all posts
Showing posts with label math teaching. Show all posts

Thursday, April 14, 2011

Main Lesson or Seminar Teaching in a Waldorf School (...or Anywhere You Care to Teach)

Waldorf schools begin each day with what has come to be called a “main lesson”—an unfortunate term in that it subtly denigrates all the other classes of the day, although this was not Rudolf Steiner’s intention.

The high school at which I teach calls these classes “seminars” because that’s descriptive of the way we teach them, it doesn’t connote elementary education, and it doesn’t denigrate other classes.

Many of the ideas and practices recorded here have evolved over my twenty-six years of teaching; what seems simple and obvious to me now in some cases took more than ten years to become so. But slow learning is better than none at all, and it is sometimes deeper than faster learning.

I wrote the following for my teacher education students, and I share it here for the reason I initially started this blog—to provide access to things I had written for which I occasionally get requests. It saves time if they’re here to read or copy—no offprints or email attachments. This document presents main lesson primarily as a middle school history teacher might approach it because the course in which I present it is Teaching History in a Waldorf School, Grades 5-8. Teachers of other grades and other subjects will make their own adjustments.

Finally, I refer in here to doodling and to note-taking, both of which I've written about elsewhere on this blog.

Business
I begin by calling the class to order and getting business out of the way—announcements, attendance, and so forth. To say the morning verse before this—as I once did—now strikes me as bizarre. The verse prepares us to learn. So why prepare to learn and then spend ten minutes on trivial matters?

Morning Verse
Once business is accomplished, I usually say the verse with my class, although, given that many of them often arrive half asleep and malnourished, I sometimes ask them to walk or run around the school building (I used to teach in a room that had a running track just outside the back door, and a lap around this—even if calmly walked—usually brought the students back to me calmer and more alert). Then we say the verse together.

I ask politely for quiet before we begin. I never insist that students say the verse, only that they are quiet and respectful to those who do. If necessary, if no one chooses to say it, I say it myself and students listen. That’s fine. It happens perhaps once with a new group, but usually not again.

I also usually ask a student to begin the verse. If I begin it every morning, I am the one with initiative, my voice is heard, and I may be the only one who utters the word “I” that begins the verse—students joining gradually, “…into the world,” leaving off the “I look.” There are other ways to accomplish this—through regimentation and discipline—but I’ve chosen this different way. I believe this practice is fine to use with students beginning in roughly sixth grade. Before this, I wouldn’t call on their “I” so much.

For Middle School Only
After the verse, perhaps 10 minutes of singing, recorder playing, or speech. I don’t do “mental math” unless we are in a math block. If I did happen to decide to do it, I wouldn’t do it on the same day as recorder or singing or anything else. I don’t find anything about “circle time” in Steiner’s work, and I believe that his request for economy in teaching asks me to get on with my history lesson. (Math requires extra practice, it’s true, but this can be scheduled at a different point in the day, not during main lesson.) In high school classes, I don’t even do any of this, but proceed right to the lesson.

Main Lesson or Seminar
First review (feeling, judgment, discussion), then new material (thinking—but warm and interested thinking), then, if time remains (which I believe it should in middle school, perhaps less in high school), work (will).

Review
The review has three functions. The first is to come to some judgment, conclusion, or opinion regarding the material of the previous day (or previous days; there are clearly times when a “summing up” involves matter learned over several days—observing the changes in form and feeling as we pass from Egyptian through archaic Greek to classical Greek postures in sculpture, for example). This may take five minutes, and it may take nearly an hour. It’s good for me to have a plan for the day, but I am almost always willing to stray from it if student questions (legitimate questions) ask for a longer discussion or review.

A more mundane function of the review is to give notes from the day before, which I put on the board and then answer questions while students copy them. I developed this technique as I became increasingly aware of the strangeness of the process of asking students to pay careful attention to what I am saying while also remembering and writing down what I just said fifteen seconds ago. This splitting of consciousness, I believe, works against actual learning (it’s a necessary skill in college, but can be developed quickly late in high school). By giving notes the day after a presentation, we cover the material twice, and students can listen without interruption to new material.

The third function of the review is to address a question with which I have left the class on the previous day (see below). Again, doing this may take a couple of sentences, shedding a little light in the darkness, or it may yield a full-blown discussion.

(Steiner: “When they return on the following day they again have the spiritual photographs of the previous day’s lesson in their heads. I connect today’s lesson with them by a reflective, contemplative approach—for example, a discussion on whether Alcibiades or Mithradates was a decent or an immoral person.

When I make an objective, characterizing approach on the first day, followed on the next day by reflection, by judgments, I shall allow the three parts of the threefold human being to interact, to harmonize in the right way.” Education for Adolescence, p. 52)

New Material
Following the review, I present new material. I ask students to listen quietly. I ask them NOT to take notes (see review above).* I ask them to hold all questions, and to jot down any questions while I am speaking in order to ask them at the end of my presentation (which my students have taken to calling “Story Time with Steve”). Student questions can turn a twenty minute story into an hour’s drudgery as they ask about what I was just about to address, or they ask interesting but digressive questions. I resolve not to digress too much or to interrupt myself during this time, too. Unless behavior absolutely requires it, I won’t stop the class for an elbow bump or a giggle. The start-stop of “regular” discipline can lead to greater chaos than overlooking small slights. If necessary, I can make a note and address it later. If I can and need to, I can calmly walk over to a student without breaking my speech and turn him around, or remove a note from her hand, or otherwise indicate that a behavior is unnecessary.

I allow students to doodle, to knit, or otherwise to quietly, privately occupy their hands. I fought this for more than ten years before I awoke to the fact that I had been a good, attentive student my entire life, through graduate school, and had doodled incessantly, despite all attempts to make me stop. As long as my students are listening and not distracting each other, their quiet activity doesn’t bother me.**

A history presentation involves four basic elements:
1. Creating distance in time, a sense of time;
2. Creating a sense of space—how far is it from here to there; how would you travel in those times? And of place—what is the geography, how would someone living then experience it, how did it influence these people? What is the climate?
3. Creating a sense of character—what we often call “biography,” although really I’m simply telling stories of different lives (birth dates, father’s occupation, and other such trivia are usually inconsequential and the students and I know it; or these things can be included easily in notes on the following day if it is necessary to have some record of them).
4. And creating a sense of an event or happening. Any more than this is unnecessary in middle school, and much more than this is not even necessary in high school; discussions bring out 5. the larger themes—I don’t “teach” them, we discover them in conversation, usually in review. (See Steiner’s work for specific indications for themes and topics for each year, including approaches to history in high school years.)

(Steiner: “Let us take another example, a history lesson. In the teaching of history there is no apparatus, no experiment. I must find a way of again adapting the lesson to the life processes, and I can do this as follows. I give the children the mere facts that occur in space and time. The whole being is again addressed just as during an experiment, because the children are called upon to make themselves a mental picture of space. We should see to it that they do this, that they see what we tell them, in their minds. They should also have a mental picture of the corresponding time. When I have brought this about, I shall try to add details about the people and events—not in a narrative way, but merely by characterization.” Education for Adolescence, p. 52)

Questions
Following story time, I ask for questions. Sometimes there are none; students bask in what they have just heard. Other times, I haven’t said what I thought I said, or been heard as I meant to be heard, and I have to explain or present something again. I generally try to answer all questions, but, if necessary, I end the section by promising to answer questions privately or address them in the future.

Details, Recapitulation
If there are details I need to add that weren’t central to my presentation—a perspective on life in those times, an anecdote that isn’t central but that illuminates something relevant, and so on—I add them at this point. If we’re short on time, I keep it short. If the review and presentation have gone quickly, I can “digress” and add a lot. This time also allows me to briefly recapitulate or synopsize the material I have presented.

(Steiner: “I now describe and draw the children’s attention to what they heard in the first part of the lesson. In the first part, I occupied their whole being; in the second, it is the rhythmic part of their being that must make an effort. I then dismiss them.” Education for Adolescence, p. 52)

A Last Question
I complete my presentation in two important ways, ways that, although they may take only a few seconds of time, lay the foundation for my future teaching, give the students something to chew on overnight, and lay the ground for good discipline (which is to say, good behavior, which is to say, an attitude of wanting to learn, to hear what I have to say). I ask an open-ended, discussion question, such as, “You learned today about all the different characteristics of cave paintings. What do you make of these? In particular, why is it important—I’ll tell you that I believe it’s very significant—that these paintings have a black outline around them?” Students may leap to answer immediately, but they know I won’t say more until the next day. They can talk on the playground, ask mom and dad at dinner, or forget the question until I remind them the next day, but they’ve heard it and taken it in. The question previews the next day’s review.

Anticipation
I also make a statement about what we’ll learn the next day. It may be prosaic—“Tomorrow we’ll move on to the study of ancient Egypt”—but it’s better if I can make it slightly mysterious—“Tomorrow you’ll learn about people who gave coffins as great gifts.” Whether they remember or not, these questions work in the students overnight and they enter the classroom ready to learn (and ready not to misbehave). I believe these few seconds are the single greatest discipline technique I know. I also know that if I don’t write down my question and topic, I will likely forget them until the class is dismissed. Even if I can conduct the lesson without notes, I write down these items in order to remember them.

Work
Then we get to work on essays, drawings, or paintings. We may go to the library to do research. The longer I teach, the less necessary I believe homework to be, and I try, especially in middle school, to have students complete their work, or at least the bulk of it, in class. We clean up our work (“Mr. Sagarin, can I keep working during recess?” “Yes, you may”), stand quietly behind our chairs, and are dismissed for snack and recess.

Attention
So this is what I aim at. It rarely goes as planned and never perfectly. But more important than anything listed above is attention to the students. Do I need to shorten my presentation because the students are exhausted? Fine. Does something I read inspire them, and I keep reading for an extra twenty minutes, and continue the next day? An example: One year I read a portion of Voltaire’s Candide to a class, simply to give them the flavor of his writing and thinking. They were so taken by it that we read a chapter a day for the rest of the block. I had not intended to do anything like this, but see great value in attending to students’ actual interests. Does my review fall on deaf ears? I’ll cut it short and spend an evening thinking about how to present it in a way that these students can hear.

Also, and this is tough to write about clearly, I try to be specifically aware of each student—I’m not good at this, but I try to make sure each student speaks at least once in each class (and that some students don’t speak too much). I try to pay attention to those who need attention and leave alone those who seem to need to be left alone. Also, if something I’m teaching relates to the circumstances of one of the students, directly (parent dies in real life; parent of historical figure died young) or indirectly (this student is obsessed with fairness, and someone I’m teaching about was known for being extremely fair), I keep the student in mind. I don’t blurt out, “Oh, and Johnny, didn’t your father die young, too?” In fact, I’m likely to try to be more tactful in discussing the historical circumstances, rather than less, given what I know. These may not be the best examples, but I think the point—lessons meet real life, we hope tactfully, in a classroom—is clear.

“Typical” Main Lesson (That is, one that never actually occurs)
10 min.: Class business.
3 min.: Verse.
15 min.: Music, but not in high school (I still wonder how necessary this really is in a main lesson period).
20 min.: Review (highly variable; and I increasingly think of this as the period of “real” learning—new material is an introduction…); discussion; note-taking.
20-30 min.: New material, including questions and added description (longer in HS).
1 min.: Question.
1 min.: Preview.
30-40 min.: Work; giving and collecting assignments. If everyone’s doing well, I can get some work done, too. (Shorter, but still present, in HS.)
Dismissal.

Monday, February 23, 2009

What Makes Waldorf, Waldorf?

What is essential to the practices and understandings of Waldorf schools and Waldorf school teachers? If Rudolf Steiner’s work on teaching and learning is not to be seen partially, inaccurately, or superficially, how can it be seen?

In writing previously that “there is no such thing as Waldorf education” (“No Such Thing,” Research Bulletin, Vol. VIII, no. 1) I was alluding to Donald Winnicott’s famous statement that there is “no such thing as a baby,”[1] which has been followed through decades by other healthy attempts to overcome the fragmenting, objectifying tendencies of our modern minds. Winnicott was at pains to show, in England after World War II, that a child alone—without a mother, at least (or, to use more contemporary language, a caregiver)—cannot survive. His research into the necessary, life-giving, and life-sustaining relationship of child and parent added significantly to what we know about children and childhood. Clearly, he was not actually denying the existence of children in any but a rhetorical sense. In fact, he devoted much of his life and career to them.

I stand by my statements about Waldorf education and the context in which we necessarily understand it. To try to see Waldorf education as a thing-in-itself is necessarily to see it partially and inaccurately. To believe in things as entities separate from context and the rest of creation is to participate in exactly the fragmenting, objectifying consciousness against which Waldorf teachers wish to stand. Further, to identify Waldorf education by its trappings, practices, or functions is to see it only superficially. (See “Playing ‘Steiner Says,’” Research Bulletin, Vol. XII, no. 2.)

So, can we see Waldorf education whole, and, if so, how?

The Checklist Test

We could begin by creating a checklist of all the things Steiner said about teaching and learning. I suggest this as a thought experiment only, somewhat tongue-in-cheek. I hope not to see a future publication entitled, The Waldorf Teacher’s Checklist of Everything Rudolf Steiner Had to Say about Teaching and Learning. The list would include items that deal with the mundane, the sublime, and everything in between—discipline and math teaching, destiny and temperament. If we create and examine such a list, I believe, we recognize that we are babes in the woods when it comes to actually doing Waldorf education. We are generally not seers. Our spiritual development may be strong in many ways but it is infantile in others.

It may be many years, many generations, before we can begin to approach Steiner as an equal and do more than begin to implement education the way he envisaged it. By way of analogy, consider Aristotle’s work on gravity. This was accepted, unquestioned, for nearly 2000 years, until Galileo, avatar of a consciousness beyond Aristotle’s, was able to meet gravity on new terms and demonstrate ways in which Aristotle’s thinking was incorrect. Who today can do the same for Steiner? More important, who today can equal or even approach Steiner in insight and understanding?

Which items on our list are essential and which may be altered or dispensed with? Our rudimentary understanding of Waldorf education may fail us. One item looks much like another. How else may we proceed?


The Tin Shack Test

Another thought experiment by which to test what is essential in Steiner’s view of teaching and learning is what I call the Tin Shack Test. Clearly, Waldorf education is compromised if it exists solely for the benefit of the few wealthy families that can afford private school tuition. It must be possible to practice education in a fruitful and health-giving way even if our school building is a tin shack and we have no money for supplies. Any quality or characteristic or practice of teaching and learning that cannot find itself in the tin shack—or the shade of a tree, for example—is probably not essential.

By “wealthy,” I should say, I mean almost all of us. Half the world lives on the equivalent of a dollar or two per day. Those of us fortunate enough to have hot and cold running water, a refrigerator, and an automobile should consider ourselves to be among the wealthiest persons ever to walk the planet—in the ancient world, the number of servants or slaves necessary to maintain us in such luxury would have been in the hundreds.

The Essence of Essence

The word that Steiner most frequently used to describe what I am talking about is the German noun Wesen, which translates as “being,” as in “human being.” The German is less concrete than its English counterpart, however, and may also be translated as “nature,” as in Socrates’ “medicine has to define the nature of the body.” And it may further be translated as “essence,” as in Zoolander’s “moisture is the essence of wetness.” When Steiner uses the word Wesen, we mistake ourselves in English if our minds leap to a concept of corporeality, too often associated in English with the word “being.” The essence of being, we may say, is of an immaterial nature.

I am aware, however, of a large literature that limns the dangers of thinking that approaches essentials, giving rise to a new form of prejudice, “essentialism.”[2] I take the central argument here to be that so often in history what we have believed contained some essential quality—whiteness or maleness, for example—turned out later on or on careful inspection not to. Much of the world that seems so given and so real is, in fact, contingent, or at least created, situational, and symbolic and is likely to change from time to time and context to context. So we must approach “Waldorfness” with great care, ready to find that it’s not what we thought it was and may not be anything at all.

As Samuel Taylor Coleridge said, however, and as so many have quoted, we can distinguish in the mind what we cannot divide in the world.[3] My aim here is to distinguish what for Waldorf teachers is central to their understanding of what we do, recognizing that this may change over time or with changing contexts. I am not burrowing into the center of a planet to find its core; I am examining a box of artifacts, if you will, to discover—in my estimation—those that better reveal the unique qualities of the person to whom it belongs.

Imagining the Best

What, then, is essential to teaching and learning according to Steiner’s work, according to his images of human beings and the world? One method for approaching the question of the core of what we call Waldorf education is to imagine what we could not do without, in a broad and durable sense. Which aspects of our work, if we were forbidden to implement them, might lead us to close our doors or declare that we could no longer call ourselves Waldorf teachers or a Waldorf school?

I will posit, hesitantly, that there are five categories, each of which is taken to be essential to what we do in Waldorf schools. Readers will note that any teacher, any school, could adopt these practices and understandings. I will let others determine at what point, level, or degree of commitment a person becomes a Waldorf teacher, a school becomes a Waldorf school. My own view is that anyone courageous enough to want to work with Steiner’s ideas on education deserves our support and admiration, regardless of setting or circumstance.

I say hesitantly because I may well have the number wrong. Biologists who count species, for example, may be termed lumpers—those who overlook minor differences in favor of underlying sameness—or splitters—those who see relatively minor differences as significant. I attempt neither a lumper nor a splitter to be, but I acknowledge that I may be overlooking something important, a sixth or seventh essential, or I may be including too many, separating characteristics that would better be combined. I welcome correction.

Fortunately, these five aspects of education may be seen as facets of one encompassing whole. While the myths of Waldorf education multiply beyond counting, the essentials tend toward one. I end by considering characteristics of this whole.

Five Gifts

One way to picture the five essentials is as gifts that Waldorf school teachers give their graduates, and by this I mean primarily high school graduates. Lower school parents and graduates will recognize these gifts, but they will also recognize that none comes fully to fruition by the end of eighth grade.

1. Ideas and Ideals

The first gift is a source of ideas and ideals. Waldorf education does not provide beliefs, ideology, culture, or worldview, although it necessarily manifests a collection of cultures and can devolve into ideology. (The “Waldorf worldview,” at least in its mundane expression, is an expression of time and place, and is not essential. Countercultural or alternative education only came into being in the 1960s, for example.) Belief, knowledge, and worldview may be “about” spiritual matters, but they should not be mistaken for them. An intellectual understanding of Waldorf education does not make a teacher, and highly gifted teachers may be poor at discussing what they do and how they do it.

What teachers provide, more important than any knowledge about a way of life or a worldview, is a pathway or method for discovering these ideas and ideals, should a student wish later in life to pursue them. Choosing this path, following it, and putting into practice the results of such a journey involve human freedom, moral imagination, ethical individualism, call it what you will.

All we can give of value as teachers with regard to spiritual realities is a path that can be followed or retraced. In geometry, I can show how the steps of a proof lead to a logical conclusion, but you must take that final intuitive leap yourself. If you do not “see” that these steps constitute a proof, all I can do as a teacher is retrace the path, perhaps using different language or different symbols in order to help you again to the brink of intuitive understanding. Anthroposophically-gained knowledge of the world, given to us in Steiner’s books and lectures, for example, can provide stepping stones akin to the statements in a geometric proof. They attain meaning, however, only as we use them to focus our attention, to trace and retrace a path to the spirit, to meaning, and to understanding.

This first point encompasses Steiner’s work in education and also the anthroposophical method and knowledge that underlies it—understandings of destiny, reincarnation, the place of human beings in the cosmos and in evolution, and so on. To treat these understandings as part of an ideology or worldview is to belittle them, to turn them into a religion. If they are true, they are true for all people and they are facts about the world; they are evidence of a science and a scientific method.

If the freedom to teach toward this path of understanding were denied, a teacher would have to feel that she could no longer teach as a “Waldorf” teacher. In this regard, I will add for more philosophical readers that I see Steiner’s work primarily as work in method, and that considerations of epistemology or ontology arise secondarily to this focus on method.

2. Development

In the future, all instruction must be built upon psychology developed from an
anthroposophical understanding of the world. (p. 49)

What lives in human
beings tends toward metamorphosis. If you can bring it about that the children
have concepts of respect and honoring, concepts of all that we can call, in an
all encompassing sense, a prayerful attitude, then such thoughts will be living
in children permeated with a prayerful attitude, and will remain into old age.
In old age, these concepts will be transformed into a capacity to bless and to
give others the results of a prayerful attitude. (p. 155)

You must be a good friend of natural development. (p. 180)[4]


Second, teachers address their students as developing human beings, beings who transform themselves unconsciously in youth and later become uniquely capable of self-transformation. In nature, metamorphoses and transformations are primarily visible. We can see a plant grow from shoot to leaves to flower, each stage presenting unforeseen changes of form. No one looking at a caterpillar for the first time would guess that it would soon be a butterfly. In human life, especially after childhood, however, transformation and development are not so readily visible.

Waldorf teachers seek patterns in human development and they also seek to be sensitive to the unique development of each student. They may fruitfully seek a common language with developmental psychologists from Jean Piaget to the present (see, for example, “The Seer and the Scientist,” Research Bulletin, Vol. XI, no. 1). If a teacher in a Waldorf school were prohibited from addressing his students according to a developmentally appropriate model, he might well feel he could no longer call himself a Waldorf teacher.

3. Three Kinds of Knowing

Whenever you want to suitably consider the human being from any particular
standpoint, you must always return to the three parts of the human soul—that is,
to cognition that occurs in thinking, to feeling, and to willing. (p. 106) [5]


Accumulating knowledge is like building a collection, right? Each piece in the collection is much like any other. A fact about astronomy is much like a fact about history or writing technique or piano playing or wine tasting or empathetic listening. A degree of certainty or truth adheres to it or is apparent in it, and we accept it for our—growing, we hope—stockpile of things that we know. It can be digitized and stored in a computer and shared online.

Well, no. Knowledge is not singular. Knowing the names of stars is not like knowing how to play the piano or like knowing how to offer solace to someone in pain. Like intelligence, which we used to believe was one thing—measured on an IQ test, for example, but now seen as, at least, a multi-faceted collection of human faculties—knowledge comes in different forms. We can know in different ways. Waldorf and Steiner schools emphasize in particular three ways of knowing, the conscious development of each corresponding roughly with preschool, elementary school, and high school.

Michael Polanyi called a first kind of knowing “tacit knowing”, knowing “more than we can say.” [6] Clearly, infants—those without voices, as the term itself suggests—know more than they can say. We can know how to cut a carrot, or the taste of the soup it makes, or how to play the viola, or how to solve a problem in geometry. We can describe these things in language, but the value, meaning, and even the truth of these activities—cutting, tasting, playing, solving—does not translate into language. These become apparent only when we learn to do these things ourselves. Without the experience of doing, often, knowing has little meaning.

You could write a manual describing what you do—as nurse, stockbroker, or artist—but, if you had to train someone to replace you, would you rather hand off instructions or offer an apprenticeship, some doing? Read a book on building a stone wall, and then claim that you know how to build one. Your aches and calluses will tell you another story. We learn much and know much through doing, and, often, doing precedes and informs our knowing. Hence, in Waldorf schools, the importance of “doing” in preschool, before we emphasize other forms of knowing.

A second kind of knowing is aesthetic knowing. Its value is apparent in contrast to our concept of something that is anaesthetic, or numbing. Aesthetic knowing is alive, awake, and sensitive. It is knowing in heart and gut (yes, the brain plays its role, but we experience our feelings in our hearts and lungs and guts). It is intuitive (“taught from within”). It is a form of knowing especially valuable for artists, musicians, clinical psychologists, theoretical physicists, and even advertising copywriters. It is a form of knowing that connects us powerfully to the world. And it develops in children most readily when they have separated from their parents and begun to comprehend the world around them for themselves. Hence, in Waldorf schools, the importance of beauty and feeling in the elementary school.

A third kind of knowing is knowing through thinking. By thinking, however, I mean a particular kind of thinking that attempts in Henri Bortoft’s phrase to “swim upstream,” reversing fragmentation, categorization, and specialization in order to recover wholeness.[7] Thinking logically with given postulates, thinking algorithmically, is “downstream” thinking, the outcome determined by the input. It is powerful but dead, inherited from the creative insight of others. Recognizing the validity of postulates different from convention, however, involves insight of our own. This synthetic, living thinking can encompass or embrace analysis, logic, and critical thinking. But it seeks to go beyond them to recover or reach the origin of creative thought and imagination. And it develops in students who are wrestling not so much with the world around them as with their own identities in that world. Hence, in Waldorf schools, the importance in high school of the development of thinking.

These three ways of knowing are cumulative and integrative. We do not leave one for the next, but build on what comes before. As adults, our thinking is enriched if we also know how to do and to feel. All three forms of knowing are present earlier, too—small children learning to walk and talk (two of the most important forms of doing) can also feel and think. But by emphasizing one way of knowing at the appropriate time, allowing other ways to develop simultaneously but sleepily, we work in accordance with children’s growth away from their parents and into the world and themselves. We know in our hands, in our hearts, and in our heads. We know goodness, beauty, and truth. The more ways we know, the more value we find in life, and the more value we bring to those around us and to whatever we are called to do.

Again, it tickles me to imagine that this third point is a subset of the first. Anyone treading a path of understanding will recognize different modes of existence and ways of knowing.

4. Social Health

Fourth, a school can provide profound examples and guidelines for a healthy life with other people. If they choose to, Waldorf school graduates know how to live with others in brotherhood and sisterhood, in solidarity. They know how to be the appropriate equal of any man or any woman. And they know where their individual freedom lies, the sort of freedom that laws and conventions cannot touch. Steiner’s description of a healthy “threefold” social organism can be seen as a common-sense description of reality—not a utopian vision that does not and will not exist—by students who have lived through years in a Waldorf school.

This point, too, derives from the first. Who, on a spiritual path, would not strive to bring into existence an ever-healthier social world?

5. Reverence and the World

Fifth, students receive a reverence for life and for the world; a concern for the environment, however defined. I mention this last and say the least about it here because as a society we have probably embraced this gift more fully in the past fifty years than we have the others. Peace education, environmental and ecological education, outdoor action programs, and other forms of holistic education may find fellow travelers in Waldorf teachers here.

Only in Waldorf?

Waldorf school curricula and methods lend themselves to an education in all of these five points. Different schools may struggle at times with one or another. Different teachers evince strengths in particular directions. Taken together, however, these cover the ground, I believe, of what is essential to Waldorf education. Any school, any teachers can give these gifts. But the sad truth is that in our world today only in Waldorf schools can you find teachers united in common purpose to strive to give their students fully and consistently what I have outlined here.

Not Alone

I am indebted to and have previously quoted Peter Curran, history teacher at the Waldorf School of Garden City, on Waldorf education (“No Such Thing,” Research Bulletin, Vol. VIII, no. 1). Curran wrote in the 1980s that there are four “essentials,” “without which no school (by whatever name) is a Waldorf School and with which any school is a Waldorf School.”

I …As each child’s consciousness matures, it recapitulates the cultural epochs
of all Mankind. Waldorf education agrees with Emerson when he says that all
children go through a Greek period and a Roman period, etc. There is, then, a
proper time and method for particular subjects to be taught.
II. Since no
one destroys what one loves, reverence, awe and respect for the Earth should be
fostered. An inkling of the spirituality of the Earth then comes into being.
III. The qualitative, as well as the quantitative, in all things should be
equally developed.
IV. Above all, Man is known as a spiritual as well as a
physical being.[8]


These points accord with the first four gifts I describe above, I believe, and are noteworthy in omitting consideration of social health. I believe this omission is a symptom of Curran’s generation; it is really only in the last couple of decades, in the United States, at least, that a serious conversation about the “social mission” of Waldorf education has been reinvigorated. Talk of a social mission was somewhat forgotten, we may posit, during the tension of the Cold War. Consideration of this hypothesis here, however, would take us too far afield.

The Big One

While the trappings of Waldorf education multiply beyond counting, the essentials, few in number, perhaps five, perhaps more or fewer, cohere toward one. Another approach to the essential nature of Waldorf education deserves mention. If my first five points present a chorus of gifts, this last image is a single, sounding gong. At the center of any method of teaching must reside an image of the human being who is learning and being taught, the human being becoming ever more human.

Previously, human beings were seen as born in original sin and, therefore, to be saved (Jonathan Edwards). Or they were seen as growing healthfully in a metaphorical garden, inadvertently damaged or corrupted by the unhealthful influence of imperfect civilization (Jean Jacques Rousseau). Or as “blank slates” on which society, civilization, and teachers could write (John Locke). Or as citizens to be educated for participation in a democratic government (Thomas Jefferson), amoral immigrants to be moralized (Horace Mann), future contributing members of a community (John Dewey), or, more recently, as biological systems that support brains that need to be programmed (Seymour Papert).

A more profound image of a human being arises if we consider that we are created in a creator’s image. I take this to mean not that God has ten fingers and ten toes, or a hairy chest, but that, like our creator, we are creative. An education that places creativity at its core, and that derives its methods from this understanding of imagination not as an accessory or enhancement to an academic education but as the ground from which all knowledge springs, may be called Waldorf education.

What is Creativity?

The meaning of creativity, however, is not clear. What does it mean to be creative? Does it mean a practice of art—and not science—without standards, objectivity, or rigor? Pursued this way, creativity is seen as a healthful hiatus from more important pursuits, a necessary venting before returning to the real business of life. Or is creativity a heaven-opening moment of insight, bestowed on some and not on others, “eurekas” and “ah-hahs” as gifts of divine grace? Pursued this way, it is, like the works that creative persons produce, unavailable for scientific study or human understanding.

Such views do not hold up to scrutiny.

History is replete with descriptions of moments of insight, from Archimedes on down, but we should not forget who the persons are who receive these insights. Mathematical truths may be raining down on you and me this moment, but, without rigorous training, hard work, a developed understanding of symbolic systems, and who knows what else, we are incapable of perceiving them.

Research in creativity by such eminent psychologists as Piaget’s pupil, Howard Gruber, demonstrates creativity to be something else altogether. For Gruber, whose seminal work was a study of Charles Darwin (Darwin on Man), creativity is a capacity of scientists as much as of artists. It results in novelty, new creations, and is the result of unique, creative human efforts. To honor the uniqueness of creative acts, Gruber questioned even such thoughtful research as the “multiple intelligence” work of Howard Gardner, and championed the case study method, the study of creativity person by person. (Gruber was not opposed to multiple intelligence theory, he just didn’t think it resulted in a description of creativity.)

This is not to say, however, that creativity cannot be studied scientifically. The lives of creative persons, as Gruber showed, have many points in common.[9]

· They undergo periods of apprenticeship.
· They work hard to achieve insight, and work hard after insight, expressing and testing it, putting it in a form that others may understand.
· They live lives in a “network of enterprise,” mutually supporting endeavors and experiences that contribute to creative work. Without Darwin’s avocational interest in geology, for instance, it is possible that he might not have achieved his insights into the evolution of living species.
· The work and lives of creative persons evolves, as well, demonstrating a (unique) pattern that may be understood and retraced by others.
· And, in order to make sense of their work, creative persons develop and employ “images of wide scope” or “ensembles of metaphor.” Darwin wrestled with the image we now know as the “tree” that showed the evolution of life, working through several branching images, including a coral.[10]

Gruber wondered to the end whether or not everyone is creative.[11] He chose to study eminent artists and scientists, and sometimes expressed the view that only a few persons are actually creative; the rest of us simply live our lives. But he also believed in the unity of human experience, and wondered what it might mean to say that everyone is creative in some way. Certainly the elements of his studies may be applied to the review—or conduct—of any life.

Creativity, Morality, and Freedom

Gruber also recognized the connection between creativity and morality:

Our conceptions of creativity and morality are intertwined in a number of ways.…
At once we see that the indispensable middle term between creativity and
morality is freedom. We can hardly speak of a moral act if the actor has no
choice. Creative work also requires inner freedom…. Creative work must be in
some ways kindred to the world, if not the world as it is, then the world as it
will or might be. It flows out of that world and it flows back into it. Thus the
creative person, to carry out the responsibility to self, the responsibility for
inner integrity, must also in some way be responsive to the world.[12]


Seen in this way, it seems clear that what Steiner called “ethical individualism” and “moral imagination” contribute to a conversation about creativity: “Freedom of action is thinkable only from the standpoint of ethical individualism.”[13] And: “Free spirits need moral imagination to realize their ideas and make them effective. Moral imagination is the source of a free spirit’s actions. Therefore, only people who have moral imagination are really morally productive.”[14]

It’s Not All About Steiner

In arguing against one sort of fundamentalism—the sort that would mistake and assert superficial characteristics and techniques of Waldorf education for an essence—some readers may believe I am leaning toward another fundamentalism—if it’s not in Steiner’s work, it’s not Waldorf education. This is not the case. I am fully aware that many valuable characteristics of and practices in Waldorf schools today—including circle time, math gnomes, or walls of rainbow hue—have little relation to Steiner’s work. I believe, however, that, given our own limited insight, we must return again and again to Steiner’s work to check our progress, our understanding, and our interpretation against what he said. Without this ongoing and recursive process—joyfully returning to the well from which our work springs—we risk implementing not creative, innovative, living teaching, but becoming an increasingly muddy copy of a copy of a copy. And there’s little creative in that.

References

Barfield, Owen. What Coleridge Thought. Middletown, CT: Wesleyan University Press, 1971.

Bortoft, Henri. The Wholeness of Nature: Goethe's Way Toward a Science of Conscious Participation in Nature. Great Barrington, MA: Lindisfarne Books, 1996.

Coleridge, Samuel Taylor. The Friend. Ed. Barbara E. Rooke. 2 Vols. Vol. 4 of the Collected Works. Princeton: Princeton University Press, 1969-present.

Fuchs, Stephen. Against Essentialism: A Theory of Culture and Society. Cambridge, MA: Harvard, 2001.

Gruber, H. Darwin on Man: A Psychological Study of Scientific Creativity. Chicago: University of Chicago Press, 1981.

Gruber, H. and Doris Wallace. Creative People at Work. New York: Oxford University Press, 1989.

Polanyi, Michael. “The Tacit Dimension.” New York: Doubleday & Co, 1966.

Steiner, Rudolf. Intuitive Thinking as a Spiritual Path. Hudson, NY: Anthroposophic Press, 1995.

————. Foundations of Human Experience. Robert Lathe and Nancy Parsons Whittaker, trans. CW 293. Hudson, NY: Anthroposophic Press, 1996.

Winnicott, D. W. Thinking about Children. Eds. Ray Shepherd, Jennifer Johns, and Helen Taylor Robinson. New York: Addison-Wesley Publishing Co., Inc., 1996.

Endnotes

[1] Winnicott, D. W.,1996.
[2] See especially Fuchs, Stephen, 2001.
[3] See, for example, Coleridge, Samuel Taylor, 1969-present. See also Barfield, Owen, 1971.
[4] All quotations here from Steiner, Rudolf, 1996.
[5] All quotations here from Steiner, Rudolf, 1996.
[6] Polanyi, Michael, 1966.
[7] Bortoft, Henri, 1996.
[8] Personal communication.
[9] References here to Gruber’s work are from the first two chapters of Gruber, H. and Doris Wallace. 1989. Creative People at Work. New York: Oxford University Press.
[10] Gruber, Howard, 1981.
[11] Personal communication.
[12] Gruber, H. and Doris Wallace, 1989, pp. 280-281.
[13] Steiner, Rudolf, 1995, p. 154.
[14] Ibid, p. 182.

Friday, December 12, 2008

Geometry as Spiritual Discipline

Art is too materialistic—all that charcoal and clay. Science is too materialistic—all that glassware and goo. Geometry is the most spiritual of all school subjects. Point, line, and plane are pure ideas; only their representations and approximations can be found in the material world—wall meets floor, and we “see” a line. But it is rough, imperfect, tile and wood. It suggests a definition, something of one dimension, length.

Definitions lead to postulates or axioms, propositions that cannot be proved or disproved, but must be accepted as true—parallel lines never meet, for example. And postulates lead to theorems, statements that can be proved to be true by deduction. Present a simple proof of a few steps to a class of tenth graders, however, and some will “see it” immediately. Others may labor over it for days before light dawns.

Because proofs cannot be taught. A teacher can demonstrate, explain, repeat, offer examples… but students must make the intuitive leap, see the pure idea, grasp the truth of the proof for themselves. For that split second, they are entirely on their own, in an undeniable and objective world of ideas. (This makes geometry the perfect subject for fifteen year-olds, who begin to feel entirely on their own but buffeted by the deniable and non-objective demands of a grown-up world for which they are not quite ready.)

Intuitive objectivity? Perhaps for this reason Plato prescribes fifteen years of geometry for the education of the Guardians of his Republic. How common it is, too, that what was holy and reserved for the leading minds of an ancient society is commonplace and mastered by children today.