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Fall 1996

Reality's Revenge: Research and Ideology
 

E.D. Hirsch, Jr.

The first step in strengthening education in America is to avoid the premature polarizations that arise when educational policy is confused with political ideology. In the United States today, the hostile political split between liberals and conservatives has infected the public debate over education--to such an extent that straight thinking is made difficult.

Here's an example. Political liberals in the United States advocate greater equality in per-pupil spending among different school districts within a state. Many conservatives oppose shifting funds from one school district to another. Jonathan Kozol's book Savage Inequalities (1991) dramatized the injustices inflicted on poor children by the unfair distribution of public resources, and recently courts in Texas, Kentucky, and
many other states have ruled that greater equity of funding is indeed required by law. Sadly, some of these rulings have been circumvented by conservative resistance--reflecting the degree to which a sense of community between rich and poor has further declined in the nation and given way to an us-versus-them mentality even with respect to children.

But one's political sympathies with equitable funding have no logical or practical connection with one's views about what ought to be happening inside schools once they are equitably funded. My political sympathies are with those who, like Kozol, advocate greater funding equity. But Kozol, perhaps influenced by his study at education school, expresses many "progressive" educational ideas that I oppose. I would label myself a political liberal and an educational conservative, or perhaps more accurately, an educational pragmatist. Political liberals really ought to oppose progressive educational ideas because they have led to practical failure and greater social inequity. The only practical way to achieve liberalism's aim of greater social justice is to pursue conservative educational policies.

That is not a new idea. In 1932, the Communist intellectual Antonio Gramsci, writing from jail (having been imprisoned by Mussolini), was one of the first to detect the paradoxical consequences of the new "democratic" education, which stressed "life relevance" and other naturalistic approaches over hard work and the transmission of knowledge. Il Duce's educational minister, Giovanni Gentile, was, in contrast to Gramsci, an enthusiastic proponent of the new ideas emanating from Teachers College, Columbia University, in the United States.1 Today, Gramsci's observations seem prescient:

The new concept of schooling is in its romantic phase, in which the replacement of "mechanical" by "natural" methods has become unhealthily exaggerated Previously, pupils at least acquired a certain baggage of concrete facts. Now there will no longer
be any baggage to put in order The most paradoxical aspect of it all is that this new type of school is advocated as being democratic, while, in fact, it is destined not merely to perpetuate social differences but crystalize them in Chinese complexities.
2

Gramsci saw that to denominate such methods as phonics and memorization of the multiplication table as "conservative," while associating them with the political right, amounted to a serious intellectual error. That was the nub of the standoff between the two most distinguished educational theorists of the political Left--Gramsci and Paulo Freire. Freire, like Gramsci a hero of humanity, devoted himself to the cause of
educating the oppressed, particularly in his native Brazil, but his writings also have been influential in the United States. Like other educational progressivists, Freire rejected traditional teaching methods and subject matters, objecting to the "banking theory of schooling," whereby the teacher provides the child with a lot of "rote-learned" information. The consequence of the conservative approach, according to Freire, is to numb the critical faculties of students and to preserve the oppressor class. He called for a change of both methods and content-new content that would celebrate the culture of the oppressed, and new methods that would encourage intellectual independence and resistance. In short, Freire, like other educational writers since the 1920s, associated political and educational progressivism.

Gramsci took the opposite view. He held that political progressivism demanded educational conservatism. The oppressed class should be taught to master the
tools of power and authority-the ability to read, write, and communicate-and to gain enough traditional knowledge to understand the worlds of nature and culture surrounding them. Children, particularly the children of the poor, should not be encouraged to flourish "naturally; which would keep them ignorant and make them slaves of emotion. They should learn the value of hard work, gain the knowledge that leads to understanding, and master the traditional culture in order to command its rhetoric, as Gramsci himself had learned to do.

In this debate, history has proved Gramsci to be the better theorist and prophet. Modern nations that have adopted Gramscian principles have bettered the condition and heightened the political, social, and economic power of oppressed classes of people. By contrast, nations (including our own) that have stuck to the principles of Freire have failed to change the social and economic status quo.

Gramsci was not the only observer to predict the inegalitarian consequences of "naturalistic," "project-oriented" "hands-on," "critical-thinking," and so-called "democratic" education. I focus on Gramsci as a revered theorist of the Left in order to make a strategic point. Ideological polarizations of educational issues tend to be facile and premature.

The educational standpoint from which this article is written may be accurately described as neither "traditional" nor "progressive." It is pragmatic. Both educational traditionalists and progressivists have tended to be far too dogmatic, polemical, and theory-ridden to be reliable beacons for public policy. The pragmatist tries to avoid simplifications and facile oppositions. Thus, this article will argue that the best guide to education on a large scale is observation of practices that have worked well on a large scale, coupled with as exact an understanding as possible of the reasons why
those practices have succeeded in many different contexts.

Reliable guidance depends on reliable research. Ideology and research should be disentangled as much as humanly possible. Research findings that are accurate
and reliable must transcend partisanship and must be seen to do so. When research is cited with misleading selectivity, or when it is second-rate and unreliable, it ceases, after a time, to be useful even as rhetoric.

This discussion of educational research treks through a certain amount of technical detail. The trip is worth taking because of the practical benefits that solid, mainstream research can yield. High-quality, refereed research summarizes the most reliable accumulated educational experience available to us. Its intelligent applications usually work much better in the classroom than mere hunches, because the conclusions of good, replicated research are far more often right than wrong. Good research represents the reality principle in education.

But, since much educational research is concentrated in such "soft" subjects as history, sociology, and psychology, it necessarily contains unknown factors, uncontrolled variables, and ineradicable uncertainties. There is consensus on certain important matters, however, and I try to focus on some of the most widely agreed-upon and disinterested conclusions.

By "disinterested," I refer to a cast of mind, not to a lack of concern. Because educational research is applied research, the topics studied will have been generated by direct, practical goals, but a good researcher's preferences will not have predetermine the results. In good medical research, too, practical aims decide what questions get asked and what money gets allocated, but the answers and the results of this applied research are dictated by the realities, not by preferences.

The questions we ask of educational research sometimes reflect conflicted aims, such as: How can we educate everyone to a fairly high competence without holding back our ablest and most motivated students? Research can describe and quantify the trade-offs involved in such questions, but it cannot evaluate how to act upon them. Such evaluation is a matter of policy, and in a democracy, educational policy should be decided openly and with the most accurate knowledge available. Research is the servant of policy, not its master.

But in another sense, good research is a kind of master, exhibiting a certain finality. Although it cannot decide policy, it can at least connect us with reality. Many of our failures in pre collegiate education have been caused by the lack of fit between our dominant theories and the realities they have claimed to represent. Our educational failures reflect reality's revenge over inadequate ideas. The history of American education since the 1930s has been the stubborn persistence of illusion in the face of reality. Illusion has not been defeated. But since reality cannot be defeated either, and
since it determines what actually happens in the world, the result has been educational decline.

What Is Higher-Order Thinking?
The goal of present-day educational reformers is to produce students with "higher-order skills" who are able to think independently about the unfamiliar problems they will encounter in the information age, who have become "problem solvers" and have "learned how to learn," and who are on their way to becoming "critical thinkers" and "lifelong learners." The method advocated for achieving these "higher-order skills" is
"discovery learning," by which students solve problems and make decisions on their own through "inquiry" and "independent analysis" of "real-world" projects-what Kilpatrick in the 1920s called the "project method."

The often repeated goal of the educational community-to inculcate general thinking skills-is not, however, soundly based in research. And that is stating the point too mildly. The idea that school can inculcate abstract, generalized skills for thinking, "accessing," and problem solving, and that these skills can be readily applied to the real world is, bluntly, a mirage. So also is the hope that a thinking skill in one domain can be readily and reliably transferred to other domains.

Yet broad-gauged thinking abilities do exist. Most of us know well-educated people, even some not very bright ones, who have high general competence, can think critically about diverse subjects, can communicate well, can solve a diversity of problems, and are ready to tackle unfamiliar challenges. The belief that our schools should regularly produce such people appeals to both experience and common sense. If the goal didn't make apparent sense, it could hardly have retained its attractiveness to the educational community and the general public. Rightly understood, then, the goal of general competence does define one important aim of modern education. The task is not to change that goal but to interpret it accurately so that it corresponds to the nature of real-world competency and can actually be achieved.

Two traditions in cognitive psychology are useful for understanding the nature of the critical-thinking, problem-solving skills that we wish to develop in our students. One tradition has studied the characteristic differences between expert and novice thinking, sometimes with the practical goal of making novices think more like experts as fast as possible.3 Another tradition has investigated the differences between accurate and
inaccurate thinking of the everyday newspaper-reading, bargain-hunting sort that all of us must engage in as nonexperts.
4 Both sorts of study converge on the conclusion that, once basic underlying skills have been automated, the almost universal feature of reliable higher-order thinking about any subject or problem is the possession of a broad, well-integrated base of background knowledge relevant to the subject. This sounds suspiciously like plain common sense (i.e., accurate everyday thinking), but the findings entail certain illuminating complexities and details that are worth contemplating. Moreover, since the findings run counter to the prevailing fact-disparaging slogans of educational reform, it will be strategically useful to sketch briefly what research has disclosed about the knowledge-based character of higher-order thinking.

The argument used by educators to disparage "merely" factual knowledge and to elevate abstract, formal principles of thought consists in the claim that knowledge is changing so rapidly that specific information is outmoded almost as soon as it has been learned. This claim goes back at least as far as Kilpatrick's Foundations of Method (1925). It gains its apparent plausibility from the observation that science and technology have advanced at a great rate in this century, making scientific and technological obsolescence a common feature of modern life. The argument assumes that there is an analogy between technological and intellectual obsolescence. Educators in this tradition shore up that analogy with the further claim that factual knowledge has become a futility because of the ever-growing quantity of new facts. The great cascade of information now flowing over the information highway makes it pointless to accumulate odd bits of data. How, after all, do you know which bits are going to endure? It is much more efficient for students to spend time acquiring techniques for organizing, analyzing, and accessing this perpetual Niagara of information.

Like the tool metaphor for education, the model of acquiring processing techniques that would be permanently useful--as contrasted with acquiring mere facts that are soon obsolete-would be highly attractive if it happened to be workable and true. But the picture of higher thinking skills as consisting of all-purpose processing and accessing techniques is not just a partly inadequate metaphor--it is a totally misleading model
of the way higher-order thinking actually works. Higher thought does not apply formal techniques to looked-up data; rather, it deploys diverse relevant cues, estimates, and analyses from preexisting knowledge. The method of applying formal techniques to looked up data is precisely the inept and unreliable problem-solving device used by novices. As a model of real-world higher-order thinking, the picture is not simply
inaccurate--it reverses the realities. It describes the lower-order thinking of novices, not the higher-order thinking of experts.

A useful illustration of the point is presented by Jill Larkin and Ruth Chabay in a study of the ways in which novices and experts go about solving a simple physics problem.5 The problem Larkin and Chabay set up is (in simple terms) to find out how much friction
there is between a sled and the snow-covered ground when a girl is pulling her little brother through the snow at a constant rate. The brother and the sled together weigh 50 pounds. The sister is pulling with a force of 10 pounds, and she pulls the rope at an angle of 30 degrees from the horizontal. What is the coefficient of friction? The typical novice tries to solve the problem by applying formal equations that can be looked up in a book, thus dutifully following the tool principle of problem solving. The student finds that the applicable formula is f =
uN, where f is force, N is the "normal force" (which is usually equal to weight), and u is the coefficient of friction, which is the quantity to be solved. The novice sees that f = u x 50. The student assumes that f = 10, the force exerted by the girl. So 10 = u x 50 and u = 10/00, which equals .2. The answer is wrong, not because the equation or the math is wrong but because the novice doesn't know
enough about real-world physics to know how to connect the formula to the problem. The novice's procedure illustrates not just the inappropriateness of the formalistic model but also the bankruptcy of the claim that students need only learn how to look things up--so-called "accessing skills." In this typical case, the skill of looking things up simply lends spurious exactitude to the student's misconceptions.

The expert physicist goes about the problem differently. He or she analyzes the critical components of the situation before looking up equations and makes two critical observations before even bothering with numbers. The first observation is that the sled is going at a constant speed, so that, in effect, there is no net residue of forces acting on the sled; there is an exact balance between the force exerted horizontally by the
girl's pull and the force exerted against that pull by friction. If there had been some difference in the two forces, then the sled would speed up or slow down. So the answer has got to be that the friction is exactly equal to the horizontal component of the force exerted by the girl. The physicist also sees that since the rope is pulled at 30 degrees, part of the girl's 10 pounds of force is vertical. The answer is going to be that the friction equals the horizontal force of the girl's pull, which is going to be the 10 pounds minus
its vertical component. The structure of the answer is solved on the basis of multiple cues and relevant knowledge, before any formulas are looked up and applied. Larkin and Chabay make the following comment (which is much more to our purpose than the details of the physics involved):

Scientists' problem solving starts with redescribing the problem in terms of the powerful concepts of their discipline. Because the concepts are richly connected with each other  the redescribed problem allows cross-checking among inferences to avoid errors
[author's emphasis].6

An important feature of higher-order thinking is this "cross-checking among inferences," based on a number of "richly connected" concepts. In higher-order thinking, we situate a problem in mental space on analogy with the way we situate ourselves in physical space--through a process of cross-checking or triangulation among relevant guideposts in our landscape of pre-existing knowledge. If we look at a problem from a couple of different angles, using a couple of different cues, and if our different estimates converge, we gain confidence in our analysis and can proceed with confidence. If, on the other hand, there is some dissonance or conflict between our cues, then warning signals go up, and we figure out which approach is more probable or fruitful. The procedure is clearly a very different and far more reliable mode of thinking than the error-prone method of applying formal techniques to looked-up data.

The example also illustrates the implausibility of the claim that school-based information quickly grows outdated. How outmoded will the knowledge used to
solve the sled problem become? A philosopher of science, Nicholas Rescher, once observed that the latest science is in a sense the least reliable science, because,
being on the frontier, it is always in dispute with other, rival theories-any of which may emerge victorious. Accordingly, reasoned Rescher, the most reliable physics is "stone-age-physics": If you throw the rock up, it is going to come down. For most problems that
require critical thought by the ordinary person regarding ethics, politics, history, and even technology, the most needed knowledge is usually rather basic, long-lived, and slow to change. True, just as physics is under revision at the frontier, so American history before the Civil War is constantly under revision in certain details (e.g., did Abraham Lincoln have an affair with Ann Rutledge?). But behind the ever-changing
front lines, there is a body of reliable knowledge that has not changed, and will not change very much, and that serves very well as a landscape to orient us in mental space. It is true that, over time, the content of the most significant and useful background knowledge for today's world does change. But I have never seen a carefully reasoned defense of the repeated assertion that, in the new age, factual knowledge is changing so fast as to make the learning of significant information useless. Probably, no carefully reasoned defense of this mindless claim could be mounted.

The physics example from Larkin and Chabay, if viewed in isolation, might be taken to show that higher-order thinking depends on abstract concepts rather than on factual details. But most research indicates that while the thinking activities through which we reach conclusions and solve problems are not crowded with literally remembered facts, neither are they made up of abstract concepts aIone.7 The models, cues, and schemas through which we think critically are neither pure concepts nor a literal recall of data but a complex and varied combination of concepts, estimates, and factual examples. The key trait to remember about higher-order thinking is its mixed character,
consisting of operational facility and domain-specific knowledge.

Some of the most useful studies of higher-order thinking have been concerned with improving our ability to make intelligent and accurate estimates on which to base decisions in our ethical, economic, and civic lives.8 Since most of us cannot remember, and do not want to take the time to learn, all the details of the U.S. budget deficit and similar matters, we follow political and economic debates with a degree of impressionism that leaves many of us open to slogans and demagoguery. What kind of critical thinking can improve our ability to reach accurate conclusions on such issues? How can we protect ourselves and our students from oversimplifications, lies, and scapegoating conspiracy theories?

It is hard to see why a generalized skepticism, unsupported by accurate knowledge, is superior to a generalized credulity, similarly unsupported. Indeed, uninformed, generalized skepticism expresses itself as a form of credulity, 'despite our inclination to call I'm-from-Missouri postures "critical thinking." Our best hope for intelligent civic thought lies in our ability to make good ballpark estimates that are close enough to
truth to make our decisions well informed and sound. But life is too short, and learning too arduous, for all citizens to memorize a lot of economic and demographic data. Our current yearly government budget deficit-is it around $30, $300, or $3,000 per American family? Sure, we could look it up, but few of us will. If we can't make an intelligent estimate from the knowledge we already have, we usually won't make an intelligent estimate at all. A lot of higher-order thinking involves our ability to make these sorts of estimates, and to make them well. How do some people manage to do it? And how can we all learn how to do it? From answers to those questions, what implications can be
deduced for the K-12 curriculum?

The best research on this subject shows that neither fact-filled memorization nor large conceptual generalizations are effective modes of education for higher-order thinking about the complexities of the modern world. On the other hand, it has been shown that accurate factual estimates are necessary for understanding many issues. Norman Brown and Robert Siegler summarize the underlying problem for modem education:

Faced with the issue of how to inculcate such information, educators have oscillated between two approaches. One has been to require students to memorize large numbers of quantitative facts. The other has been to de-emphasize dates, magnitudes, and other quantities, and to focus on understanding of qualitative relations. Each of these approaches has major drawbacks, however There are just too many such
facts for anyone to memorize a high percentage of them. On the other hand, it is difficult if not impossible to acquire more than a superficial understanding of a domain without some degree of quantitative sophistication about it.
9

The breadth-depth issue will always be with us and will always require compromises and common sense. The particular compromise one makes will depend
upon subject matter and goals. In practice, an appropriate compromise has been reached by self-taught, well-informed people and by the fortunate students of particularly able teachers. One well-tested teaching method, already followed by many good books and teachers, provides students with a carefully chosen but generous sampling of factual data that are set forth in a meaningful web of inferences and generalizations about the larger domain. Researchers have shown that such generally selective factual instruction leads to accurate inferences not directly deducible from the literal facts that were taught. The mechanisms by which we are able to use these selective exemplifications in order to make remarkably accurate factual guesses about untaught domains are a subject of vigorous current research.

Whatever the underlying psychological mechanisms prove to be, research has demonstrated that the teaching of a generous number of carefully chosen exemplary facts within a meaningful explanatory context is a better method for inducing insightful thinking than is any proposed alternative. These alternatives include (1) the teaching of the whole factual domain, (2) the teaching of the general principles only, and (3) the
teaching of a single example in great depth (the less-is-more theory). None of these methods is as effective for inducing effective real-world thinking as sampling well-selected and consistent facts in a carefully prepared explanatory context.
1O This careful-sampling method works well even when (as usually happens) the literal details of the taught facts are not memorized by students and cannot be retrieved accurately from memory after a period of several months. Nonetheless, a strong improvement in accurate thinking persists if students have once been taught a carefully chosen
sample of the factual data.

This finding has strong implications for curriculum making. The conclusion from cognitive research shows that there is an unavoidable interdependence between relational and factual knowledge and that teaching a broad range of factual knowledge is essential to effective thinking both within domains and among domains. Despite the popularity of the anti-fact motif in our progressive education tradition, and despite its faith in the power of a few "real-world" projects to educate students "holistically" for the modern world, no state board or school district has yet abandoned the principle of requiring a broad range of different subject matters in elementary school. Across the land, there are still universal requirements for mathematics, science, language arts, and social studies.

Is this curricular conservatism a mere residue of traditional thinking, or does it indicate that common sense has not been defeated by Romantic theory? I favor the latter hypothesis. Despite the vagueness of state and district guidelines, their continued parceling out of schooling into different subject matters, against continued pleas for a more "integrated" and holistic approach, shows an implicit understanding that breadth of knowledge is an essential element of higher-order thinking. School boards have rightly assumed that the mental landscape needs to be broadly surveyed and mapped in order to enable future citizens to cope with a large variety of judgments. No effective system of schooling in the world has abandoned this principle of subject-matter breadth in early schooling.

For later schooling, however, a good deal of evidence--marshaled in the superb research of John Bishop of Cornell--shows that in the last two years of high school, and later on, the balance of utility shifts in favor of deeper and more narrowly specialized training as the best education for the modern world.11 This finding means that breadth in earlier schooling is all the more essential to developing adequate higher-order thinking and living skills in our citizens-to-be. If schooling is going to become more and more specialized in later life, it is ever more important to map out the wider intellectual landscape accurately and well in the earlier years. Otherwise, we shall produce not critical thinkers but narrow, ignorant ones, subject to delusion and rhetoric. This danger was uppermost in Jefferson's mind when he advocated teaching of human history in early years. In our age, the same argument holds for the domains connected with mathematics, science, technology, and communication skills. A wide range of knowledge and a broad vocabulary supply entry wedges into unfamiliar domains, thus
truly enabling "lifelong learning," as well as the attainment of new knowledge and greater depth as needed. The unmistakable implication .for modern education is that, instead of constantly deferring the introduction of challenging and extensive knowledge, we need to be taking the opposite tack by increasing both the challenge and the breadth of early education.

Consensus Research on Pedagogy
A consensus regarding the most effective teaching methods has emerged from three independent sources whose finding converge on the same pedagogical principles. This pattern of independent convergence (a kind of intellectual triangulation) is, along with accurate prediction, one of the most powerful, confidence-building patterns in scientific research. There are few or no examples in the history of science (none that I know of) when the same result, reached by three or more truly independent means, has been overturned.

A wonderful example of this convergence was described by Abraham Pais in his biography of Albert Einstein. At the end of the nineteenth century, the existence of atoms and molecules was still a matter of debate among scientists. In 1811, a physics professor, Amedeo Avogadro, put forth the hypothesis that the same volume of any gas under the same temperature and pressure must contain the same number of molecules. If molecules exist, then a mole--that is, the molecular weight in grams of any substance--must contain the same number of molecules, no matter what the substance. This number, N, is still called "Avogadro's number." In the early 1900s, Einstein reasoned that if totally different experimental ways of determining N converged on the same result, then molecules must exist. In March 1905, he submitted a paper computing N on the basis of blackbody radiation. In April 1905, his Ph.D. thesis described a new
theoretical method for determining N from data on sugar solutions. In May 1905, Einstein submitted an article computing N on the basis of Brownian motion (the zigzag movements of tiny particles suspended in a liquid). Later, in 1910, Einstein submitted a paper on "critical opalescence," which explained why the sky is blue, and derived still another, independent way of determining N. All of these different mathematical/empirical inferences converged on the same magnitude. Pais states:

The debate on molecular reality came to a close only as a result of developments in the first decade of the twentieth century. This was not just because of Einstein's first paper on Brownian motion or of any single good determination of N. Rather, the issue was settled once and for all because of the extraordinary agreement in the values of N obtained by many different methods. Matters were clinched not by a determination of N but by an overdetermination of N. From subjects as diverse as radioactivity, Brownian motion, and the blue in the sky, it was possible to state, by 1909, that a dozen independent ways of measuring N yielded results all of which lay between 6 and 9 x 1023. 12

The independent convergence on the fundamentals of effective pedagogy that exists today is less mathematical but nonetheless compelling. The same findings have been derived from three quite different and entirely independent sources: (1) small-scale pairings of different teaching methods; (2) basic research in cognition, learning, memory, psycholinguistics, and other areas of cognitive psychology; and (3) large-scale international comparative studies. The findings from all three sources are highly consistent with each other regarding the most effective pedagogical principles. Because real-world classroom observations are so completely affected by so many uncontrolled variables, the most persuasive aspect of the current picture is the congruence of the classroom-based observations with cognitive psychology--which is currently our best and most reliable source of insight into the processes of learning.

In presenting these findings, my strategy will be briefly to go through some of the classroom studies and summarize their points of agreement. Then, I will relate those points to findings in cognitive psychology. Finally, I will comment on their congruence with the results of international comparisons. Not all readers may be interested in these research details, which are included for purposes of documentation, and may wish to turn to the summary conclusions at the end of this section. First, then, the classroom studies.

New Zealand Studies. In a series of "process-outcome" studies between 1970 and 1973, researchers from the University of Canterbury in New Zealand found that time spent focused on content and the amount of content taught were more important factors
than the teacher behaviors that were used to teach the content. With seventh graders, it did not matter whether the teacher used questions and student responses or gave straight lectures. But younger students, for example, third graders, learned better with
the question-and-answer mode. The researchers found that the questions asked needed to be narrow in focus, clear, and easily answered. High expectations and occasional praise were more effective than indifference or matter-of-factness. Whether the lecture or the question format was used, careful structuring of content by the teacher, followed by summary reviews, was the most effective teaching method.
13

"Follow Through" Studies. Jane Stallings and her colleagues observed and evaluated results from 108 first-grade classes and fifty-eight third-grade classes taught by different methods. Programs having strong academic focus rather than programs using the project-method approach produced the highest gains in reading and math. Brophy and Good summarize the Stallings findings as follows: "Almost anything connected with the classical recitation pattern of teacher questioning (particularly direct, factual questions
rather than more open questions) followed by student response, followed by teacher feedback, correlated positively with achievement." As in the New Zealand studies, students who spent most of their time being instructed or guided-by their teachers did much better than students who did projects or were expected to learn on their own.
14

Brophy-Evertson Studies. Between 1973 and 1979, Brophy and his colleagues conducted a series of studies in which they first determined that some teachers got consistently good results over the years, and others consistently bad ones. They made close observations of the teacher behaviors associated, respectively, with good and bad academic outcomes. Teachers who produced the most achievement were focused on academics. They were warm but businesslike. Teachers who produced the least achievement used a "heavily affective" approach and were more concerned with
the child's self-esteem and psychic well-being than with academics. They emphasized warmth, used student ideas, employed a democratic style, and encouraged student-student interaction. The researchers further found that learning proceeded best when the material was somewhat new and challenging, but could also be assimilated relatively easily into what students already knew. The biggest contrast was not between
modes of academic instruction but between all such instruction and "learner-centered" "discovery learning," which was ineffective. Paradoxically, the students were more motivated and engaged by academic-centered instruction than by student-centered instruction.

In 1982, Brophy and his colleagues summarized some of their later findings on the effective teaching of beginning reading. These were the most salient points:
1. Sustained focus on content.
2. All students involved (whole-class instruction dominates).
3. Brisk pace, with easy enough tasks for consistent student success.
4. Students reading aloud often and getting consistent feedback.
5. Decoding skills mastered to the point of overlearning (automaticity).
6. In the course of time, each child asked to perform and getting immediate, nonjudgmental feedback.
15

Good-Grouws Studies. For over a decade, Good and Grouws pursued process-outcome studies that support the Brophy-Evertson findings. Their 1977 summary
contained the following points:
1. The best teachers were clearer.
2. They introduced more new concepts, engaged in less review.
3. They asked fewer questions.
4. Their feedback to the students was quick and nonevaluative.
5. They used whole-class instruction most of the time.
6. They were demanding and conveyed high expectations.
16

The Gage Studies. N. L. Gage and his colleagues at Stanford University have produced a series of process-outcome studies from the 1960s to the 1980s. These
results, consistent with the above, are summarized in the following points of advice to teachers:
1. Introduce material with an overview or analogy.
2. Use review and repetition.
3. Praise or repeat student answers.
4. Be patient in waiting for responses.
5. Integrate the responses into the lesson.
6. Give assignments that offer practice and variety.
7. Be sure questions and assignments are new and challenging, yet easy enough to allow success with reasonable effort.
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Other Studies. In 1986, Rosenshine and Stevens listed five other "particularly praiseworthy" studies of effective teaching modes, all of which came to similar conclusions. They summarize these conclusions as follows:
1. Review prerequisite learning: .
2. Start with a brief statement of goals.
3. Introduce new material in small steps.
4. Maintain clarity and detail in presentation.
5. Achieve a high level of active practice.
6. Obtain response and check for understanding (CFU).
7. Guide student practice initially.
8. Give systematic, continual feedback.
9. Monitor and give specific advice during seatwork.
18

The Brophy-Good Summary. In their final summation of research in this area, Brophy and Good make a comment worth quoting directly. They draw two chief conclusions from reviewing all of this research:

One is that academic learning is influenced by the amount of time students spend in appropriate academic tasks. The second is that students learn more efficiently when their teachers first structure new information for them and help them relate it to what they
already know, and then monitor their performance and provide corrective feedback during recitation, drill, practice, or application activities There are no shortcuts to successful attainment of higher-level learning objectives. Such success will not be achieved with relative ease through discovery learning by the student. Instead, it will require considerable instruction from the teacher, as well as thorough mastery of basic knowledge and skills that must be integrated and applied in the process of "higher-level" performance. Development of basic knowledge and skills to the level of automatic and errorless performance will require a great deal of drill and practice. Thus drill and practice activities should not be slighted as "low level." They appear to be just as essential to complex and creative intellectual performance as they are to the performance of a virtuoso violinist.
19

Before I go on to discuss correlations between these findings and research in cognitive psychology, I will digress to make an observation connecting these results to student motivation. While common sense might have predicted the academic superiority of structured, whole-class instruction over less academically focused, learner-centered instruction, it was unexpected that these studies should have demonstrated the motivational superiority of instruction centered on content rather than on students. Why is academically focused instruction more engaging and motivating to young learners than learner-centered instruction, more engaging and motivating to young learners than learner-centered instruction?

I know of no research that explains this finding, but I shall hazard the guess that individualized, learner-centered instruction must be extremely boring to most students most of the time, since, by mathematical necessity, they are not receiving individualized attention most of the time. It may also be the case that the slow pace and progress of less structured teaching may fail to engage and motivate students. A teacher must be
extraordinarily talented to know just how to interact engagingly with each individual child. Given the strong motivation of young children to learn about the adult world, the best way to engage them is by a dramatic, interactive, and clear presentation that incidentally brings out the inherent satisfaction in skill mastery and interest in subject matter.

There is also a basis in cognitive psychology for the finding that students should be taught procedural skills to the point of "overlearning." "Overlearning" is a rather unfortunate term of art, since intuitively it seems a bad idea to overdo anything. But the term simply means that students should become able to supply the right answer or to follow the right procedure very fast, without hesitation. Through practice, they become so habituated to a procedure that they no longer have to think or struggle to perform it. This leaves their highly limited working memory free to focus on other aspects of the task at hand. The classroom research cited above simply reported that teachers who
followed the principle of overlearning produced much better results. Cognitive psychology explains why. Students who have mastered word recognition through structured practice of that procedural task, for example, are much better able to comprehend what they are reading. One of the best ways of overlearning word recognition is by "repeated readings": Students read a selection over and over again until they can read it with facility. Research shows that by using the repeated-reading method,

students not only improved in fluency on each passage, they also showed a transfer-of-training effect in that the first reading of each new passage was faster than the previous initial reading had been, and the number of readings to reach criterion decreased. The most important finding was that there was improvement in comprehension [author's emphasis].20

Automating word recognition leaves the mind free to focus on comprehension. This is precisely what studies of working memory in cognitive psychology would lead one to predict.

The classroom studies also stressed the importance of teaching new content in small incremental steps. This is likewise explained by the limitations of working memory, since the mind can handle only a small number of new things at one time. A new thing has to become integrated with prior knowledge before the mind can give it meaning, store it in memory, and attend to something else. New learnings should not be introduced until feedback from students indicates that they have mastered the old learnings quite well, though not, as in the case of procedural skills, to the point of overlearning. Research into long-term memory shows why this slow-but-sure method of feedback and review works best: "Once is not enough" should be the motto of longterm memory, though nonmeaningful review and boring repetition are not good techniques. The classroom research cited above indicated that the best teachers did not engage in incessant review. Memory studies suggest that the best approach to achieving retention in long-term memory is "distributed practice." Ideally, lessons should spread a
topic over several days, with repetitions occurring at moderately distant intervals. Thus Bahrick:

Students learned and relearned fifty English-Spanish word pairs seven times to the same criterion. They were tested for recall and recognition eight years later. The original relearning sessions were spaced either at thirty-day intervals, at one-day intervals, or all on the same day. Eight years later, participants who were trained at thirty-day intervals recalled about twice as many words as those trained ,"" at one-day intervals, and both of these groups retained more than the subjects who were trained and retrained on the same day.21

It would follow that a two-day interval is better than one day for introducing reviews. This feature of learning explains the importance of a deliberate pace of instruction, as all the classroom studies showed. Whatever practical arrangements are chosen for classroom learning, the principle of content rehearsal is absolutely essential for fixing content in long-term memory. Until that fixation occurs, content learning cannot be
said to have happened.

That receiving continual feedback from the students is essential to good teaching is a robust finding in all the studies, and also gets support from research into both short-term and long-term memory. Feedback indicates whether the material has been learned well enough to free short-term (i.e., working) memory for new tasks. Moreover, the process of engaging in question-answer and other feedback practices constitutes
content rehearsal, which also helps achieve secure learning in memory. Good teachers seem to be implicitly aware of this double function of question asking--that is, simultaneous monitoring and rehearsing.

Finally, research in cognitive psychology supports the finding that classes should often begin with a review or an analogy that connects the new topic with knowledge students already have. Psycholinguistic studies have shown that verbal comprehension power-
fully depends on students' relevant background knowledge and particularly on their ability to apply that knowledge to something new.
22 Meaningful understanding seems to be equivalent to joining the new knowledge to something already known. Other psycholinguistic studies show that comprehension is enhanced when clues are offered at the beginning of a written passage indicating the overall character and direction of the passage. One needs to have a sense of the whole in order to predict the character of the parts and the way they fit with each other. Just as holistic, generic clues are important for the reader's comprehension of a written passage, such clues are similarly important for the student's understanding in the classroom. This psycholinguistic principle shows why a summary at the beginning of a class can give students the right "mindset" for assimilating the new material.23

These few principles concerning working memory, long-term memory, and the best prior conditions for meaningful learning explain the effectiveness of almost all the practices that were found to be effective in the classroom studies. Their congruence with mainstream psychology was well observed by Rosenshine and Stevens when they stated that research in cognitive psychology

helps explain why students taught with structured curricula generally do better than those taught with either more individualized or discovery learning approaches.
It also explains why young students who receive their instruction from a teacher usually achieve more than those who are expected to learn new materials and skills on their own or from each other. When young children are expected to learn on their own, particularly in the early stages, the students run the danger of not attending to the right cues, or not processing important points, and of proceeding on to later points before they have done sufficient elaboration and practice.
24

Now I shall turn to some data from international studies on classroom practice. The fullest such research has been conducted by Harold Stevenson and his several colleagues in the United States, China, Japan, and Taiwan, who observed 324 Asian and American mathematics classrooms divided between first grade and fifth grade. Each classroom was studied for more than twenty hours by trained observers who
took voluminous notes. There can be little doubt of the accuracy of the resulting generalizations regarding classroom practice in Asia and the United States. Nor can there be any doubt of the differences in mathematical achievement between the Asian and American classrooms. In international comparative studies of math achievement among developed nations, Asian countries rank at the top, the United States at the bottom. Hence, this international research by Stevenson and his colleagues can be interpreted as a process-out-come study on a grand scale, one in which the different classroom processes that yield dramatically different outcomes are fully and accurately described.

Classroom practice is not of course the only factor that has caused this huge difference in outcomes. Chinese and Japanese adults value mathematics; they are well educated in the subject, are able to teach math to their children outside of school. Nonetheless, classroom practice is a highly important factor in determining these results. (In their book The Learning Gap, Stevenson and Stigler effectively dispose of the argument that our inferior classroom results are owing to our greater " diversity." 25) In light of the contrast in outcomes, it is no surprise that the activities that typically occur in Asian classrooms follow the effective pedagogical principles deduced from small-scale American studies and from cognitive psychology. By contrast, the activities that typically occur in American classrooms run counter to those research findings. Lest
these contrasts seem to deprecate all American teachers, however, it should be remembered that it was the work of first-rate American teachers that originally determined the results of the research into effective pedagogical principles. Unfortunately, as comparative studies show, such superior pedagogy is not at all typical in the United States.

To illustrate the agreement between the small-scale intranational studies and the international studies, I shall first summarize the small-scale research findings in each category, then the corresponding findings from the international studies.

Social Atmosphere
Small-scale intranational studies. In the best classrooms, the social atmosphere was warm and supportive, but at the same time businesslike and focused on the job at hand. By contrast, the worst-performing classrooms were "heavily affective," with a lot of verbal praise and self-esteem talk. In the best classes, the teacher was respectful to students but demanded good discipline as well as hard work. In the worst, the atmosphere was less ordered and disciplined.

International studies. The most frequent form of evaluation used by American teachers was praise, a technique that is rarely used in either Taiwan or Japan. Praise cuts off discussion and highlights the teacher's role as the authority. It also encourages students to be satisfied with their performance rather than informing them about where they need improvement. Chinese and Japanese teachers have a low tolerance for errors, and when they occur, they seldom ignore them. Discussing errors helps to clarify misunderstandings, encourage argument and justification, and involve students in the exciting quest of assessing the strengths and weaknesses of the various alternative solutions that have been proposed.26

Initial Orientation
Small-scale intranational studies. The teacher first reviews the knowledge prerequisite to the new learning and orients the class to what is in store. One good way is to introduce the material with an overview or analogy connecting it with previous knowledge and to present a brief statement of goals for the day's class.

International studies. The Asian teacher stands in front of the class as a cue that the lesson will soon start. The room quiets. "Let us begin," says the teacher in Sendai. After brief reciprocal bows between pupils and teacher, the teacher opens the class with a description of what will be accomplished during the class period. From that point until the teacher summarizes the day's lesson and announces, "We are through," the Japanese elementary school class-like those in Taiwan and China-consists of teacher and students working together toward the goals described at the beginning of the class. Contrast this scene with a fifth-grade American mathematics classroom that we recently visited. Immediately after getting the students' attention, the teacher pointed out that today was Tuesday, "band day," and that all students in the band should go to the band room. "Those of you doing the news report today should meet over there in the corner," he continued. He then began the mathematics class with the remaining students by reviewing the solution to a computation problem that had been included in the previous day's homework. After this brief review the teacher directed the students' attention to the blackboard where the day's assignment had been written. The teacher then spent most of the rest of the period walking about the room monitoring the children's work, talking to individual children about questions or errors, and uttering "shush" whenever the students began talking among themselves. This example is typical.27

Pace
Small-scale intranational studies. The best teachers introduce new material in small, easily mastered steps setting a deliberate but brisk pace, not moving ahead until students show that they understand. Better results come from teachers who move forward with new concepts, have higher expectations, and provide review, but not "incessant review."

International studies. The pace is slow, but the outcome is impressive. Japanese teachers want their students to be reflective and to gain a deep understanding of mathematics. Each concept and skill is taught I with great thoroughness, thereby eliminating the need I to teach the concept again later. Covering only a few problems does not mean that the lesson turns out to be short on content. In the United States, curriculum planners, textbook publishers, and teachers themselves seem to believe that students learn more effectively if they solve a large number of problems rather
than if they concentrate their attention on only a few.28

Clarity
Small-scale intranational studies. The most effective teachers were not just clearer but more focused on the content or skill goal, asked questions but fewer of them, and kept the focus by continually integrating student responses into the lesson. A useful tool for
clarity in presentation: an end-of-class summary review indicating where the lesson went and what it did.

International studies. Irrelevant interruptions often add to children's difficulty in perceiving lessons as a coherent whole. In American observations, the teacher interrupted the flow of the lesson with irrelevant comments, or the class was interrupted by someone else in 20 percent of all first-grade lessons and 47 percent of all fifth-grade lessons. In Sendai, Taipei, and Beijing, interruptions occurred less than 10 percent of
the time at both grade levels. Coherence is also disrupted by frequent shifting from one topic to another within a single lesson. Twenty-one percent of the shifts within American lessons were to different topics (rather than to different materials or activities), com-
pared with only 5 percent in the Japanese lessons. Before ending the lesson, the Asian teacher reviews what has been learned and relates it to the problem she posed at the beginning of the lesson. American teachers are much less likely than Asian teachers to end lessons in this way. For example, we found that fifth-grade teachers in Beijing spent eight times as long at the end of the class period summarizing the lessons as did those in Chicago.
29

Managing and Monitoring
Small-scale intranational studies. In the most effective teaching, whole-class instruction is used most of I the time. The teacher obtains responses and checks for understanding for each student, ensuring that each child gets some feedback and that all students stay involved. While feedback to the students is frequent, it is not incessant. The teacher is patient in waiting for responses. Student answers are often repeated for the class. Many effective teachers make constructive, nonevaluative use of student errors, working through how they were made. Students are more engaged and motivated in these classrooms than in student-centered ones.

International studies. Chinese and Japanese teachers rely on students to generate ideas and evaluate the correctness of the ideas. The possibility that they will be called upon to state their own solution keeps Asian students alert, but this technique has two other important functions. First, it engages students in the lesson, increasing their motivation by making them feel they are participants in a group process. Second, it conveys a more realistic impression of how knowledge is acquired. American teachers are less likely to give students opportunities to respond at such length. Although a great deal of interaction appears to occur in American classrooms-with students and teachers posing questions and giving answers-American teachers generally ask questions that are answerable with a yes or a no or a short phrase. They seek a correct answer and continue calling on students until one produces it.30
.
Drill and Practice
Small-scale intranational studies. Two kinds of practice are needed, corresponding to two objects of learning-content and skills. For content, new concepts are discussed and reviewed until secure in the memory. Procedural skills are mastered to the point of
overlearning (automaticity). Guided practice should be part of whole-class instruction before seatwork occurs. Small-group seatwork generally works better than individual seatwork, but seatwork per se is used rather sparingly for both content and skills. Supervision and feedback are provided during seatwork.

International studies. When children must work alone for long periods of time without guidance or reaction from the teacher, they begin to lose focus on the purpose of their activity. Asian teachers assign less seatwork than American teachers; furthermore, they
use seatwork differently. Asian teachers tend to use short, frequent periods of seatwork, alternating between discussing problems and allowing children to work problems on their own. When seatwork is embedded within the lesson, instruction and practice are
tightly woven into a coherent whole. Teachers can gauge children's understanding of the preceding part of the lesson by observing how they solve practice problems. Interspersing seatwork with instruction in this way helps the teacher assess how rapidly she can proceed through the lesson. American teachers, on the other hand, tend to relegate seatwork to one long period at the end of the class, where it becomes little
more than a time for repetitious practice. In Chicago, 59 percent of all fifth-grade lessons ended with a period of seatwork, compared with 23 percent in Sendai and 14 percent in Taipei. American teachers often do not discuss the work or its connection to the goal of
the lesson, or publicly evaluate its accuracy. Seatwork was never evaluated or discussed during 48 percent of all American fifth-grade lessons observed, compared to
less than 3 percent of Japanese classes and 6 percent of Taiwan classes.
31

***

Since it was predominantly research into effective American classrooms that, in the small-scale studies, originally determined these criteria' of effective teaching, the first question that comes to mind is: Why do American teachers so consistently contravene the results of American research, whereas Asian teachers consistently follow its imperatives? In an important study of classroom effectiveness that reported similarly
disconcerting findings, W James Popham, an education professor at UCLA, stated the following about American teachers:

Rarely does one find a teacher who, prior to teaching, establishes clearly stated instructional objectives in terms of learner behavior and then sets out to achieve those objectives Lest this sound like an unchecked assault on the teaching profession, it should be pointed out that there is little reason to expect that [American] teachers should be skilled goal achievers. Certainly they have not been trained to be; teacher
education institutions rarely foster this kind of competence. Nor is there any premium placed on such instructional skill after the teacher concludes preservice training [author's emphasis].
32

The very thing that Horace Mann called upon teacher-training schools to do and that the American public assumes that such schools are doing-the teaching of effective pedagogy-is a domain of training that, according to both sympathetic and unsympathetic observers, gets short shrift in our education schools.33 Instead, it is mainly theory, and highly questionable theory at that, that gets more attention in education school courses. That point should be stated even more strongly: Not only do our teacher-training schools decline to put a premium on nuts-and-bolts classroom effectiveness, but they promote ideas that actually run counter to consensus research into teacher effectiveness.

This consensus among present-day reformers is well summarized by Zemelman, Daniels, and Hyde in their 1993 book, Best Practice.

In virtually every school subject, we now have recent summary reports, meta-analyses of instructional research, bulletins from pilot classrooms, and landmark sets of professional recommendations. Today there is a strong consensus definition of Best Practice, of state-of-the-art teaching in every critical field.... Whether the recommendations come from the National Council of Teachers of Mathematics, the Center for the Study of Reading, the National Writing Project, the National Council for the Social Studies, the American Association for the Advancement of Science, the National Council of Teachers of English, the National Association for the Education of Young Children, or the International Reading Association, the fundamental insights into teaching and learning are remarkably congruent. Indeed on many key issues, the recommendations from these diverse organizations are unanimous.

Zemelman, Daniels, and Hyde then list twenty-five "LESS" and "MORE" admonitions on which all these organizations agree. Among them are the following:

LESS whole-class teacher-directed instruction
LESS student passivity, sitting, listening, receiving
LESS attempts by teachers to cover large amounts of material
LESS rote memorization of facts and details
LESS stress on competition and grades
MORE experiential, inductive, hands-on learning
MORE active learning with all the attendant noise of students doing, talking, collaborating
MORE deep study of a smaller number of topics
MORE responsibility transferred to students for their work: goal-setting, record-keeping, monitoring, evaluation
MORE choice for students, e.g., picking their own books, etc.
MORE attention to affective needs and varying cognitive styles of students
MORE cooperative, collaborative activity.
34

The authors praise the current consensus on these "child-centered" principles for being "progressive, developmentally appropriate, research based, and eminently teachable." These claims are not, however, "research based" in the way the authors imply. Quite the contrary. No studies of children's learning in mainstream science support these generalizations. With respect to effective learning, the consensus in research is that their recommendations are worst practice, not "best practice."

This Alice in Wonderland reversal of reality has been accomplished largely by virtue of the rhetorical device that I have called "premature polarization." Discovery learning is labeled "progressive," and whole-class instruction "traditional." Under such descriptors, one mode is assumed to be active and engaging, the other passive and boring; one holistic and indirect, the other step-by-step and direct. As a result of such terminological polarization, the term "direct instruction," which is the mode advocated by a number of teachers and educational specialists, has come in for some heavy criticism from anti-traditionalists: The distinction, however, between direct and indirect instruction is an unfortunate simplification of some complex issues. It overlooks, for instance, the different pedagogical requirements for procedural learning and content learning and thus neglects the different pedagogical emphases needed at the different ages and stages of learning. Effective procedural learning requires "overlearning," and hence plenty of practice. Content learning is amenable to a diversity of methods that accommodate themselves to students' prior knowledge, habits, and interests.

What the international data show very clearly is that both procedural and content learning are best achieved in a focused environment that preponderantly emphasizes whole-class instruction but that is punctuated by small-group or individualized work.
Within that focused context, however, there are many good roads to Rome. The classroom observations of Stevenson and his colleagues bring home the ancient
wisdom of integrating both direct and indirect methods, including inquiry learning, which encourages students to think for themselves, and direct informing, which is sometimes the most effective and efficient mode of securing knowledge and skill. A combination
of show and tell, omitting neither, is generally the most effective approach in teaching, as it is in writing and speaking.

The only truly general principle that seems to emerge from process-outcome research on pedagogy is that focused and guided instruction is far more effective than naturalistic, discovery, learn-at-your-own-pace instruction. But within the context of focused and guided instruction, almost anything goes, and what works best with one group of students may not work best with another group with similar backgrounds in
the very same building. Methods must vary a good deal with different age groups. Within the general context of focused and guided instruction, my own general
preference, and one followed by good teachers in many lands, is for what might be called "dramatized instruction." The class period can be formed into a little drama with a beginning, middle, and end, well directed but not rigidly scripted by the teacher. The beginning sets up the question to be answered, the knowledge to be mastered, or the skill to be gained; the middle consists of a lot of back-and-forth between student and student, student and teacher; and the end consists of a feeling of closure and accomplishment.

The idea of teaching as drama or as storytelling gains a great deal of credence from its agreement with demonstrably effective classroom teaching and with an ancient and highly effective tradition, particularly in that subtle domain of teaching consensus values and virtues. How do we teach and model such values as independent thinking, toleration, respect, aspiration, civility; resistance to the mob, and at the same time
teach subject matters and skills like history and science, reading and writing? From Plato to Sir Philip Sidney to Robert Coles to Kieran Egan, there is general agreement that dramatizing, telling, or implicitly enacting stories, both fictional and factual, is a sound and sure teaching method.35 In early grades especially, no opportunity should be lost to combine skill instruction, which can itself be dramatized, with virtue-and-
knowledge-enhancing stories.

The focused narrative or drama lies midway between narrow drill and practice (which has its place) and the unguided activity of the project method (which may also occasionally have a place). Sir Philip Sidney argued (in 1583!) that stories are better teachers than philosophy or history, because philosophy teaches by dull precept (guided instruction) and history teaches by uncertain example (the project method). The story, however, joins precept and example together, thus teaching and delighting at the same time. Thus Sidney in the sixteenth century:

The philosopher therefore and the historian are they which would win the goal, the one by precept, the other by example. But both, not having both, do both halt. For the philosopher [sets] down with thorny argument the bare rule The historian, wanting the precept, his example draweth no necessary consequence Now doth the peerless poet perform both With a tale forsooth he cometh unto you, with a tale which holdeth children from play, and old men from the chimney comer. And pretending no more, doth intend the winning of the wind from wickedness to virtue.36

Elsewhere in his essay, Sidney makes it clear that good history can also be a good story that combines precept and example. Excellent classroom teaching has a narrative and dramatic feel even when there is a lot of interaction between the students and the teacher-it has a definite theme, and a beginning, middle, and end. This teaching principle holds even for mathematics and science. When every lesson has a
well-developed plot in which the children themselves are participants, teaching is both focused and absorbing. The available research is consistent with this scheme, though it by no means says that thoughtful sequencing, plotting, and dramatizing of learning activities are the exclusive or whole key to good pedagogy. For many elementary learnings, repeated practice has to be an integral part of the plot.

That recent psychological research should yield insights that confirm what Plato and Sidney said about stories should probably make us more, not less, confident in the results of this recent research. Education is as old as humanity. The breathless claim that technology and the information age have radically changed the nature of the education of young children turns out to be, like most breathless claims in education, unsupported by scholarship. Nor should current studies surprise us when they show that a naturalistic approach, lacking a definite story line and a sharp focus, has the defect Sidney saw in history as a teacher of humankind: it "draweth no necessary consequence." There is a modest place for discovery learning, just as there is for drill and practice. But research indicates that, most of the time, clearly focused, well-plotted
teaching is the best means for" [holding] children from play and old men from the chimney corner."


E.D. Hirsch, Jr., a professor at the University of Virginia, Charlottesville, is president and founder of the Core Knowledge Foundation and author of Cultural Literacy and The Dictionary of Cultural Literacy.  This article is excerpted from his new book, The Schools We Need and Why We Don't Have Them. Copyright 1996 by E.D. Hirsch, Jr. Published by arrangement with Doubleday, a division of Bantam Doubleday Dell Publishing Group, Inc.


Endnotes
1 For comments on Gentile's views and for basic insights into Gramsci's ideas about education, 1 am grateful to Entwistle, Antonio Gramsci. Additional commentary may be found in Broccoli, Antonio Gramsci e l'educazione come egemonia; Scuderi, Antonio Gramsci e il problema pedagogico,. and De Robbio, Antonio Gramsci e la pedagogia dell'impegno. For modem data showing that Gramsci is right in holding that traditional schooling greatly improves the academic competencies of low achievers, see K. R. ]ohns8n, and Layng, "Breaking the Structuralist Barrier," 1475-90.

2 Gramsci, "Education."

3 Larkin et al., "Models of Competence in SolVing Physics Problems," 317-48. Schoenfeld and Hermann, "Problem Perception and Knowledge Structure in Expert and Novice Mathematical Problem Solvers, 484-94.

4 Some work in this tradition: Tversky and Kahneman, "Availability," 207-32; Collins, Human Plausible Reasoning; and Fischoff, "Judgment and Decision Making," 153-87.

5 Larkin and Chabay, "Research on Teaching Scientific Thinking," 158.

6 Ibid., 150-72.

7 Johnson-Larid, Mental Models.

8 Kunda and Nisbett, "The Psychometrics of Everyday life," 195-224.

9 Brown and Siegler, "Metrics and Mappings," 531.

10 Brown and Siegler, "Metrics and Mappings," 531. But see also Scardamalia and Bereiter, "Computer Support for Knowledge-Building Communities," 265-83; and Scardamalia, Bereiter, and Lamon, "CSILE: Trying To Bring Students into World 3," 201-28.

11 Bishop, Expertise and Excellence.

12 Pais, "Subtle Is the Lord," 95.

13 The data from the New Zealand study and most other studies cited here are taken from the excellent review by Brophy and Good, who conducted some of the most significant research into effective teaching methods. See Brophy and Good, "Teacher Behavior and Student Achievement," 328-75. Some of the New Zealand work is described in Nuthall and Church, "Experimental Studies of Teaching Behaviour." The
importance of this kind of research was well argued by Gilbert T. Sewall in his Necessary Lessons, especially pages 131-33. Sewall cites highly similar findings from the British researcher Neville Bennett in N. Bennett, Teaching Styles and Pupil Progress. For an explanation why progressive methods like discovery learning have not worked well in teaching science, see Walberg, "Improving School Science in Advanced and Developing Countries," 625-99.

14 Stallings and Kasowitz, Follow Through Classroom Evaluation, 1972-1973.

15 Brophy and Evertson, Learning from Teaching. Anderson, Evertson, and Brophy, Principles of Small-Group Instruction in Elementary Reading.

16 Good and Grouws, "Teacher Effects," 49-54.

17 Gage, The Scientific Basts of the Art of Teaching.

18 Rosenshine and Stevens, "Teaching Functions," 376-91.

19 Brophy and Good, "Teacher Behavior and Student Achievement," 338.

20 Beck, "Improving Practice through Understanding Reading," 40-58.

21 Bahrick, "Extending the life Span of Knowledge," 61-82.

22 Spiro, "Cognitive Processes in Prose Comprehension and Recall"; and Anderson and Shifrin, "The Meaning of Words in Context."

23 Bransford and Johnson, "Contextual Prerequisites for Understanding," 717-26. Spiro, "Cognitive Processes in Prose Comprehension and Recall."

24 Rosenshine and Stevens, "Teaching Functions," 379.

25 Stevenson and Stigler, The Learning Gap, 196-98.

26 Ibid., 191.

27 Ibid., 174.

28 Ibid., 194.

29 Ibid., 179, 181-82.

30 Ibid., 190.

31 Ibid., 183.

32 Popham, "Performance Tests of Teaching Proficiency,"105-17.

33 Clifford and Guthrie, Ed School. Kramer, Ed School Follies.

34 Zemelrnan, Daniels, and Hyde, Best Practice, 4-5.

35 Egan, Teaching as Story Telling.

36 Sidney, An Apology for Poetry.

 


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