some reflections on the acquisition of knowledge
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DOI: 10.3102/0013189X013009005
1984 13: 5EDUCATIONAL RESEARCHERRICHARD C. ANDERSON
Some Reflections on the Acquisition of Knowledge
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Some Reflections on the Acquisition of Knowledge
RICHARD C. ANDERSON Center for the Study of Reading
University of Illinois
People who hold views similar to mine about the nature of knowledge and its acquisition place great stock in how communications are organized. Thus, I am especially concerned on this important occasion that my talk have a clear and predictable organization. I first thought that my ideas would fit a Problem/Solution frame, but that wasn't quite right. Then I tried Thesis/Antithesis/Synthesis. That didn't work either. Finally, I had the insight that a Presidential Address is part of a ceremony marking a rite of passage. Accordingly, a traditional organizing principle seemed appropriate. I hope you agree, because I will now tell you that the true deep structure of my remarks is Something Old/Something New/Something Borrowed.
A Schema Theory of Knowledge In the first section of my talk, I
will present a sketch of a schema theory of knowledge and summarize some evidence that illustrates its power. There are many versions of schema theory. What I am presenting is a blend of my own thinking and the thinking of others.
A schema is an abstract structure of information. It is abstract in the
This paper was a Presidential Address at the annual meeting of the American Educational Research Association, New Orleans, Louisiana, April 1984.
Richard C. Anderson is Professor and Director at the University of Illinois, Center for the Study of Reading, 51 Gerty Drive, Champaign, Illinois 61820. His area of specialization is the psychology of reading.
sense that it summarizes information about many particular cases. A schema is structured in the sense that it represents the relationships among components. The term schema is an apt one for characterizing knowledge, because the essence of knowledge is structure. Knowledge is not a "basket of facts."
A schema can be conceived as consisting of a set of expectations. Comprehension occurs when these expectations are fulfilled by the specific information that a scene, message, or happening delivers to the senses. Information that neatly satisfies expectations can be encoded into memory so as to "instantiate" the "slots" in the schema. Information that does not fit expectations may not be encoded, or it may be distorted so that the fit is better. Gaps in available information may be completed by inference in order to maintain consistency with expectations. Later, the same expectations that guided the encoding of information can be brought into play to guide retrieval and reconstruction (see Anderson & Pearson, 1984).
Without a schema to which an event can be assimilated, learning is slow and uncertain. This fact is illustrated in the now classic experiments of Bransford and Johnson (1972) that showed that learning was nil from vaguely worded passages about such matters as washing clothes, unless a title that suggested the appropriate schema was provided.
Of course, occasions on which a person will be without a schema with which to assimilate an event are rare. Closer to life is the contrast between a well-articulated and
a less well-articulated schema. Rand Spiro, Mark Anderson, and I completed a study (1976) that illustrates this contrast. We wrote two stories, one about dining at a fancy restaurant, the other a closely comparable story about shopping at a supermarket. The stories mentioned the same eighteen items of food and drink, in the same order, attributed to the same characters. The subjects read one of the two stories and then attempted to recall it.
The first prediction was that the food and drink items would be better recalled by subjects who had read the restaurant story. This prediction follows from the fact that a dining-at-a-fancy-restaurant-schema contains more structure than a supermarket schema. For instance, foods are expected that are suitable as appetizers, entrees and desserts. The items that can fit into these categories are constrained. For instance, hot dogs will not be the entree nor Koolaid the beverage. Furthermore, there are cross-category constraints. For instance, white wine is likely to be consumed during the meal if the entree is fish or poultry. On the other hand, just about any food or beverage fits a supermarket schema. The prediction that subjects who read the restaurant story would recall more items of food and drink was confirmed in two experiments.
The second prediction was that subjects would more accurately ascribe foods to characters when given the restaurant story. The reasoning was that it is important to get the specific food one orders in a restaurant, whereas in a supermarket it does not matter who puts the broccoli into the shopping cart.
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In each of the two experiments, this prediction was confirmed. The conditional probability of attributing a food or drink item to the correct character, given that the item had been recalled, was higher among subjects who received the restaurant story than among subjects who had received the supermarket story.
The third prediction was that order of recall of food and beverage items would correspond more closely to the order in which the items were mentioned in the stories when subjects had received the restaurant story. The basis for this hypothesis is that there is no particular sequence for selecting items in a supermarket, whereas in a fine restaurant it would be odd to have the chocolate mousse before the vichy-ssoise. This prediction was partially confirmed. The mean correlation between recall order and order of mention was significantly higher for subjects who read the restaurant story in the first experiment, and there was a trend in the same direction in the second experiment.
Many other studies show substantial differences in comprehension, learning, and memory when the reader is able to bring to bear a more developed schema instead of a less developed one. Especially interesting is an experiment by Spilich, Vesonder, Chiesi, and Voss (1979). They asked subjects high and low in knowledge of baseball, but equivalent in verbal ability, to read and recall a story about a half inning from a fictitious baseball game. Knowledge of baseball had both quantitative and qualitative effects.
High-knowledge subjects recalled more information than low-knowledge subjects, particularly information of tactical significance to the game. Reproduced below is a synthesized recall protocol consisting of the propositions recalled by 50% or more of the subjects in the high-knowledge group:
The Ridgeville Robins were playing the Center City Cougars. The score was 5-3. The Robins were ahead. It was the last half of the fifth inning. The sky was dark and the rain was getting heavier. The first batter came up to bat. The pitcher in the field was left-handed. The pitcher's
E.R.A. was 6.00. The batter hit the ball into center field, but it was caught and the batter was out. The next batter came up. This batter led the league in home runs. The batter hit the ball to left field and arrived safely at second with a double. The next batter came up, hit a ground ball toward the shortstop, and arrived safely at first base. The runner on second stayed on base. The runner from second advanced to third base and the runner on first went to second. The next batter came up and got a hit. The runner on third scored and the runner on second was out at the plate. The umpires called the game because of rain.
The synthesized recall protocol of the low-knowledge subjects given below is shorter. Notice that what has been left out is information that relates characteristics of players, actions, and events to the tactical goals of the game. On the other hand, the protocol includes one piece of incidental information, the name of the first batter, that is not present even in the high-knowledge protocol.
The Ridgeville Robins were playing the Center City Cougars. The score was 5-3. The sky was dark and the rain was becoming heavier. The first batter, Jones, came to bat. The pitcher was ready to pitch. Jones flew out. The next batter came up, hit the ball, and made it safely to second base. The next batter came up and made it safely to first base. A runner was out at home plate. The umpires called the game because of rain.
The restaurant versus supermarket and baseball experiments involved contrived texts read under special circumstances. This is characteristic of many of the studies that have been done under the aegis of schema theory. That the theory is, nonetheless, potentially general-izable is suggested by the success of a computer program called FRUMP (Fast Reading, Understanding, and Memory Program) developed by DeJong (1982) that skims and summarizes news articles. FRUMP uses a type of schema that DeJong calls a "sketchy script" to organize its knowledge of the world. The current version of the program contains sketchy scripts for 60 different topics ranging from earthquakes to economic or military aid given by one country to another to labor strikes. FRUMP is able to
write a summary of news articles on any of these topics. For example, consider the following article:
BY FERNANDO DEL MUNDO MANILA, PHILIPPINES (UPI)-A bomb exploded aboard a Philippine Airlines jetliner at 24,000 feet Friday but the only fatality was the bomber, who was sucked out a six-foot wide hole blasted in the wall of the plane's toilet.
The twin-engine British-built BAC-111 jet landed safely in Manila despite loss of pressurization. Three persons aboard the plane suffered minor injuries.
Officials said Rodolfo Salazar, an electrician from Cebu, 350 miles south of Manila, went into the toilet before the blast and was not among the 78 passengers and six crew members accounted for later.
"All circumstances point to the fact that he carried the bomb," an official said.
Intelligence agents said the explosive may have been a sister banaag. The passengers were held for about four hours for questioning and released.
The summary of this article that FRUMP produced was, "A bomb explosion in a Philippines Airlines jet has killed the person who planted the bomb and injured three people." In order to demonstrate that the program develops a conceptual representation, rather than relying on tricks with surface features of language, FRUMP produces summaries in French, Spanish, and Chinese as well as English.
FRUMP is noteworthy because it is able to analyze news articles never seen before by the program or the programmer. In a test of the system, it was run with 120 unselected, unedited United Press International stories. An evaluation indicated that FRUMP produced a satisfactory summary of 37% of the stories and a nearly satisfactory summary of an additional 18%. Many of the failures could be traced to the lack of vocabulary and certain low level inference rules. When these we're added and the system tested again with the same 120 stories, it produced 54% satisfactory and 24% nearly satisfactory summaries. It should be stressed that FRUMP produces very stereotyped summaries. Its summaries of stories on any one topic all contain the same categories of information.
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Thus far, I have tried to make the case that schema theory affords a promising approach to the analysis of knowledge. In many circles, this conclusion is already taken for granted, and the issues are detailed ones of structure and process. It is to a selected few of these issues that I now turn.
Problems with Current Realizations of Schema Theory
The major problem that I will address is whether schema theory can give an adequate account of the large amount of detail that people get into their mental representations during most acts of comprehension. In a 1977 paper I stated unequivocally that the answer is yes. I wrote then that, "Abstract schemata program people to generate concrete scenarios" (p. 423). I must have thought these words were profound because I repeated them exactly when I was summing up. Insofar as I can reconstruct what I meant, I was endorsing what I will in a few moments call the strong form of schema theory.
Consider the following phrases (from Anderson & Ortony, 1975):
eat steak eat soup eat an apple
Notice that information that is in no sense part of the dictionary definitions of the words in these phrases springs readily to mind, for instance, information about the utensils that would be used in eating. Eating a steak requires a knife and fork. Soup is sipped with a spoon. Ordinarily an apple is eaten without a utensil. Notice also that when one ponders the phrases one easily determines that these cases of eating involve different actions of the lips, teeth, and tongue. Other details are immediately available when one considers different possible agents. Contrast,
The executive ate the steak. The baby ate the steak. The dog ate the steak.
Both the act of eating and the steak are different in these cases. The executive is relishing a charcoal broiled strip sirloin. • The baby's steak has been pulverized into a gruel and his mother is feeding it to him from a teaspoon. The dog is
gnawing on scraps, or his steak is raw, pilfered from the table beside the grill.
There is evidence that particularized, or "instantiated," representations are the rule rather than the exception in language comprehension, even in circumstances that would not seem to demand details beyond those that are explicitly given (Anderson & McGaw, 1973). Often a particularized representation is integral to comprehension. In the sentence, The boy earned a merit badge, the reader has not understood the sentence unless he or she sees that the boy is a Scout (Anderson, Pichert, Goetz, Schal-lert, Stevens, & Trollip, 1976). Thus, any complete theory of comprehension must explain the rich particularity of all ordinary instances of comprehension. Where is this detail to come from?
A first point is that traditional theories of language comprehension fail miserably to provide an answer. Basically, a traditional theory says that the meaning of a sentence consists of the core meanings of the individual words concatenated according to rules of grammar. Returning to my principal example, the core meaning of "to eat" is something like: to put food in one's mouth, chew, and swallow. There is nothing here about which utensils to use to get the food to the mouth. The obvious conclusion is that forming a rich representation requires the application of rich knowledge.
I will outline two positions on the nature of this rich knowledge. I will deliberately draw these positions in extreme form so that the difference between them can be appreciated. The first position is a strong version of schema theory. It presumes that people operate on the basis of general principles abstracted from experience. With respect to eating, the position is that over the course of a lifetime people construct a general theory or "mental model" (Gentner & Stevens, 1983) of eating. Selecting the right utensil to eat a given food is one of the issues handled within the theory of eating.
As an intellectual exercise, consider some of the major elements in such a theory of eating. It will have to have the overall form of a theory of goal-directed actions. In par
ticular, it will have to embody the knowledge that a major subgoal in eating is delivering bite-sized quantities of food to the mouth. It will have to embody the knowledge that the first step in achieving this subgoal is separating a small mass of food from a large mass. It will have to embody the knowledge that this can be accomplished by cutting, sawing, stabbing, grasping, scooping, or shoveling. The theory will need to incorporate the knowledge that relates these functions to the physical structure of available utensils. Based on this knowledge and principles about the physical properties of foods, the theory will have to enable the selection of appropriate utensils. A person using the theory should be able to deduce, for instance, that juicy foods ought to be scooped with a spoon while foods with a loose, particulate structure are to be separated and shoveled with a fork.
The theory, or eating schema, will have to embody knowledge of the important social goals that eating may serve. Manner of eating may reveal that one has social pretensions or lacks pretensions, that one is a conformist or a rebel, that one is tense or at ease. Probably the maxim that most of us follow most of the time is, "Be couth when eating, but no more couth than necessary."
Implementing this maxim requires the schema to contain principles for evaluating social situations. Thus, the schema ought to provide for a different interpretation of the sentence, The woman ate the chicken wing, depending upon the context. If she's at a picnic or in a college-town bar, the woman can eat with her fingers. Any barbecue sauce she gets on her fingers she can wipe off on her blue jeans. On the other hand, if she's at a formal dinner, she had better eat with her knife and fork; if she gets gravy on her fingers, she will wipe it off on her napkin.
The important property of the strong version of schema theory is that actions and interpretations of others' actions are deduced from first principles. That is to say, for instance, no matter how many times you have eaten a steak, seen others eat a steak, or heard about
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the eating of a steak, on each occasion you solve anew the problem of which utensils to use. Previous experience affects the schema, but the schema alone determines how you behave.
Another noteworthy feature of the strong version of the theory is that it makes possible well-motivated explanations. Producing an explanation for why soup is eaten with a spoon is simply a matter of putting a frequently made deduction into words.
Now for the bad news. Although the strong theory of the eating schema is elegant, it won't work very well, precisely because it is too elegant. It is plain that there is only a loose connection between the physical properties of foods and the utensils that are customarily used to eat them in this society. Ice cream could be eaten with a fork, but in fact it is done with a spoon. Wine or ice water could be sipped with a spoon, but instead the glass is raised to the mouth with one's fingers. On formal occasions, using utensils is favored over using one's fingers, but even on these occasions seal-lions and carrot strips are not eaten with a knife and fork.
A weaker theory of the schema for eating accommodates these arbitrary realities. Assume a table of correspondences: On one side, foods are listed, and on the other side the utensils used to eat them. A theory with this form will work, but notice that it does not enable deep explanations of behavior. When asked why one eats mashed potatoes and gravy with a fork, a person operating solely on the basis of this schema would only be able to say, "That's just how you do it." To be sure, this person might know that eating soup with a fork is impossible, not merely uncouth, but this would be an ancillary inference.
The epitome of the strong version of a schema is a scientific theory. A schema of this sort includes general principles that relate form and function, motive and action, and cause and effect. Strong schemas assume idealized worlds of perfect vaccums and frictionless surfaces. Weak schemas bring some order to messy worlds in which the sense and reference of terms is indefinite, categories are fuzzy, and the relation
ships among entities may be arbitrary.
The concept of a weak schema enables a simple but compelling explanation for the fact that people develop rich representations during language comprehension: Words and phrases are treated as instructions to locate specific cases in memory. These are just the cases at the intersection signified by the words. For instance, the phrase eating an apple is a direction to remember cases involving the eating of apples. The sense and reference of the terms are then refined, instantiated, and elaborated on the basis of these cases. The implication of this simple hypothesis is that much that passes for general knowledge is actually produced as needed by retrieving specific cases and making calculations based on them.
Evidence in support of this theory was obtained in an experiment by Henry Halff, Andrew Ortony, and myself (1976). Subjects compared the degree of redness of red objects mentioned in a series of 20 sentences. Here are several of the sentences:
The boy with the red hair stood out in the crowd.
The knife blade was red with the blood of the victim.
His skin was red due to sunburn.
The red fire engine raced down the street.
Subjects were asked, for example, if the red of a sunburn was definitely redder than, definitely less red than, or possibly equally red as the red of a fire engine. It was assumed that a subject would choose the first alternative if all of the cases he remembered or generated of sunburn red were redder than any of the cases of fire engine red. He would choose the second alternative if all of his fire engine reds were redder than any sunburn reds. Whereas if some sunburn reds were as red as some fire engine reds, he would indicate this by selecting the third alternative.
A formal, mathematical model gave a good account of the data from the study. The model requires the assumption, first, that the various red objects are represented as having different degrees of redness.
Second, the degree of redness of an object cannot be represented as a point, or precise shade of red. Rather, it has to be represented as an interval, or range of redness. Third, the width of the interval varies, depending on the object.
The foregoing results fit nicely with the hypothesis that people treat the words that comprise phrases as instructions to locate specific cases in memory. But the results would be difficult to accommodate within a theory that says that the meaning of a phrase is a product of the fixed, general meanings of the constituent words. Put more broadly, the results are consistent with the weak version of schema, inconsistent with the strong version.
In summary, if one has a strong schema, comprehension is principle-driven and predictions can be thought of as being derived. With a weak schema, comprehension is precedent-driven. Predictions are not so much derived as looked up; generalizations are local in scope and treated with caution. My hypothesis is that the notion of a weak schema gives the best account of the thinking of ordinary people in ordinary circumstances dealing with ordinary matters of knowledge.
An Implication for the Acquisition of Knowledge
The knowledge a person already possesses is the principal determiner of what a person can come to know. Knowledge, in turn, is conditioned by culture. Therefore, a person's culture is a principal determiner of what he or she can come to know.
It is easy to demonstrate that the foregoing proposition is true. The classic demonstration was Sir Frederic Bartlett's (1932) study of the attempts of educated Englishmen to recall the North American Indian tale, The War of the Ghosts. More recently, Margaret Steffensen, Chitra Joag-dev, and I (1979) asked natives of India and the United States to read and recall letters about an Indian wedding and an American wedding. As expected on the basis of schema theory, subjects read what for them was the native
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text more quickly than they read the foreign text; they recalled more propositions from the native text, particularly propositions rated as important by fellow natives, than they did from the foreign text; and they introduced more culturally appropriate elaborations of the native text but more culturally inappropriate distortions of the foreign text.
The foregoing illustrates specific effects of culture. There may also be nonspecific effects. I am not the first to propose that culture influences metaknowledge, or beliefs and knowledge about knowledge, in certain predictable ways.
In the preceding section I developed the thesis that a weak form of schema theory gives the best account of the knowledge that most people have about ordinary matters. Weak schemas include generalizations that are limited in scope, entail low standards for internal consistency, and provide an uncertain basis for a priori reasoning. It follows that these characteristics ought to have been acknowledged by folk philosophers who have tried to articulate knowledge about ordinary knowledge.
To test this hypothesis, I searched all the entries referenced in the indexes of three large books of proverbs (Champion, 1938; Smith, 1948; Taylor & Whiting, 1958) under words of knowing such as truth, experience, knowledge, learn, and wisdom. Eighty-one proverbs were located that expressed an attitude about the nature of knowledge. Of these, 58 were judged to endorse a sentiment consistent with the weak schema position, whereas only three expressed a sentiment consistent with the strong schema position and 20 were indeterminate. The proverbs
"here illustrate the predominant view:
There is an exception to every rule.
That which proves too much proves nothing.
You cannot know wine by the barrel.
He who knows the most believes the least.
The proof of pudding is in the eating.
One should not judge the ship before it has experienced the sea.
Knowledge and timber shouldn't be used until they are seasoned.
There is striking evidence that unschooled members of traditional societies are, by the standards of developed societies, extraordinarily guarded about entertaining generalizations or engaging in a priori reasoning. Scribner (1977) presented members of the Kpelle tribe in West Africa with syllogisms, including,
All Kpelle men are rice farmers. Mr. Smith is not a rice farmer. Is he a Kpelle man?
The following protocol was obtained from a nonliterate Kpelle farmer in response to this syllogism:
S: I don't know this man in person. I have not laid eyes on the man himself. E: Just think about the statement. S: If I know him in person, I can answer that question, but since I do not know him in person I cannot answer that question. E: Try and answer from your Kpelle sense. S: If you know a person, if a question comes up about him you are able to answer. But if you do not know this person, if a question comes up about him, it's hard for you to answer it.
This man rejected even the possibility of coming to a conclusion on the basis of propositions about which he has no personal information. At the same time, Scribner points out, the protocol illustrates that the man's failure to accept this reasoning task should not be confused with a failure to adopt a hypothetical attitude. Scribner says, "One might say he was reasoning hypothetically about the actual while denying the possibility of reasoning hypothetically about the postulated."
High forms of knowing are the province of learned fields of study—and perhaps to a lesser extent of commerce and industry—to which the Kpelle tribesman had not been exposed. There is evidence
that when people from traditional societies go to school or engage in trade they begin to approach syllogisms in the same fashion as people from developed societies (Cole & Scribner, 1974).
Children's early, out-of-school experience is with mundane matters of physical and social reality. Accordingly, to accommodate this experience, they could be expected to acquire weak, low-inference schemas. Moreover, children not only acquire experience, they acquire interpretations of experience. In the first instance, these interpretations are mediated by parents and other caretakers. It stands to reason that the beliefs about knowledge that a child develops will be influenced by those of his parents.
Parents' beliefs about knowledge will be conditioned by educational and occupational status. There is a tradition of research that attempts to explain ethnic and social class differences in terms of "restricted" and "elaborated" linguistic codes (Bernstein, 1964; Hess & Shipman, 1965). This research was based on the assumption, which I do not accept, that there are inherent differences in cognitive capacity. Furthermore, from the perspective I am trying to develop here, the level of analysis was not sufficiently deep. The issue goes beyond discourse style. It is a question of assumptions about knowledge. Presumably parents vary in the extent to which they model reasoned explanations and justifications and the extent to which they expect them from their children. At one extreme is the parent, who when the child asks, "Why?" always responds, "Because I told you so."
Later, teachers become mediators of experience. There is not research, of which I am aware, on teacher-conveyed beliefs about knowledge. There is, however, research that bears indirectly on the issue. Durkin (1978-79) observed nearly 18,000 minutes in elementary school classrooms during reading and social studies periods. She judged that less than 1% of this time was devoted to "comprehension instruction," which she defined as the teacher doing or saying something that would help a child figure out the meaning of a unit of
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language larger than a word. Although apparently few elemen
tary school children are getting much instruction on larger meanings, there is evidence that the instruction given to children evaluated as low in ability is particularly restricted in this respect. According to a recent review (Hiebert, 1983), when compared to children in high-ability groups, children in low-ability reading groups receive more word-list drill but read less connected text; they are asked more simple, factual questions and fewer questions that require inference or synthesis; they spend more time reading aloud and less time reading silently; and when they do read aloud, they have a higher percentage of their pronunciation errors corrected by the teacher.
Nothing about this school regimen would be expected to disturb "weak" views of knowledge; indeed, it is likely to reinforce them. It is known that poor students are unlikely to make the inferences required to weave the information in a text into a coherent overall mental model (see Bradsford, Stein, Vye, Franks, Auble, Mezynski, & Perfetto, 1982, and accompanying papers). My conjecture is that one reason this is so is that poor students' beliefs about knowledge do not lead them to suppose that consistent interpretations of events are generally possible, or even desirable. For the poor student, knowledge is a basket of facts.
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Taylor, A., & Whiting, B.J. (1958). Dictionary of American proverbs and proverbial phrases. Cambridge, MA: Harvard University Press.
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