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CONTEMPORARY EDUCATIONAL Piaget’s Theory PSYCHOLOGY 7, 204-216 (1982) and Instruction: Are They? How Compatible BARRYJ. ZIMMERMAN The Gruduate School, City University of New York Three views of the compatibility of Piaget’s theory and educational practice are considered: (a) it is a useful framework to guide instruction; (b) it is antithetical or unrelated to the goals of instruction; and (c) there are some instructional features of the theory that can be operationalized and studied empirically. The findings of such studies are briefly discussed, and in general, more research is deemed needed to establish the validity of Piaget’s most educationally relevant constructs. Some general features of Piaget’s theory that have attracted teachers are described, and the implications of Piaget’s more recent theoretical emphasis on social factors such as conflict are considered. When the history of psychology during the 20th century is written, it is clear that Jean Piaget will be accorded a major role. His impact on the field of developmental psychology has been profound, and his work has also been very attractive to a generation of educators. However, the compatibility between his theory and educational practice is an issue that continues to be debated after his death. As one reads the invited papers to this special issue, one finds relatively little agreement about the usefulness of Piaget’s theory to the field of education even among experts. Depending on what parts of Piaget’s writings are cited and what part of his theory are stressed, experts can make three highly discrepant cases: (a) that Piaget’s theory is useful as a theory of instruction; (b) that his developmental stage theory is antithetical or unrelated to instruction; or(c) that there are some educational features of Piaget’s theory that can be operationalized and examined empirically. Let us consider each of these viewpoints. The Compatibility Argument Many early childhood educators have attempted to translate Piagetian constructs into curricular experiences. Johnson and Hooper (1982) summarized the results of many of these efforts in their review of Piagetian early childhood programs. Program sponsors found support in Piaget’s theory for such practices as (a) qualitative assessment of children’s cognitive readiness for instruction, (b) use of discovery or conflict teaching procedures, (c) organizing the classroom environment to promote in204 0361-476X/82/030204-13$02.00/O Copyright AU rights @ 1982 by Academic Press, Inc. of reproduction in any form reserved. PIAGET’S THEORY AND INSTRUCTION 205 creasing conceptual differentiation, (d) providing opportunities for the children to interact motorically with instructional material, and (e) the use of play as educational experience. Children’s developmental stage is assumed by Piaget (197Oa)to be the prime factor determining their responsiveness to experience. Instruction is viewed as a socially organized form of experience, and thus cognitive stage measures are assumed to be predictive of instructional outcomes for a particular child. Children who are not yet “in transition” to the next stage are not assumed to be amenable to instruction geared toward logical functioning at a higher stage level. The instructional implications of this hypothesis seemed clear: Withhold instruction in such areas as mathematics until the child showed “cognitive readiness” according to Piagetian measures (e.g., some ability to conserve, make transitive judgments, or seriate). Kuhn (1979) described a slightly different instructional approach, termed an “optimal mismatch,” for using mental stage measures of children. The teacher is asked to diagnose children’s level of development and to promote activities that are challenging for them. The optimal mismatch is an educational experience that is just slightly advanced for a particular child. Although Kuhn’s version does not deal with the issue of transition, it is appealing because it suggests that instruction need not be withheld and that every child is teachable at one developmental level or another. However, Kuhn readily acknowledges that “the optimal mismatch formulation fails to explain how higher-stage environmental models produce developmental change” (p. 353), and thus the cognitive readiness issue remains. A second feature of Piaget’s theory with relevance to instruction stemmed from his description of development as a result of an underlying equilibration process (Piaget, 1977). Cognitive advances were suggested to result from a child’s efforts to resolve conceptual conflicts, and thus instructional procedures which created conflicts such as discovery learning or debates were assumed to be particularly effective (e.g., Sigel, 1969). A widely mentioned example of a conflict teaching method was Bruner’s (Bruner, Olver, & Greenfield, 1966) perceptual screening during pouring in conservation of liquid tasks. When the screen was in place, the distracting water level cues were eliminated and conservation judgments were more readily made. When the screen was removed, the child was confronted with conflicting evidence of differing water levels in vessels of two different shapes. Most of the preschool programs discussed by Johnson and Hooper (1982) have made discovery learning a central feature of their instructional approach. A third educational implication of Piaget’s theory stemmed from his description of within-stage development as involving progressive differentiation of knowledge (Furth, 1969). Piaget envisioned children’s knowl- 206 BARRY J. ZIMMERMAN edge as becoming more specialized in much the same way that a fetus develops increasingly distinctive anatomical structures out of initially undifferentiated cells. Weikart’s (1971) high scope program for teaching Head Start and Follow Through children organizes the classroom according to Piaget’s principle of progressive differentiation. At the outset, children are exposed to an environment that provides relatively few places for storing classroom articles such as toys, books, and games. With time and experience, the youngsters are required to store classroom articles in an increasing number of categorically specific places. Thus, the classroom environment demands of the children a progressively more complex cognitive structure for organizing stimuli. A fourth hypothesis of Piaget’s (1977) that has intrigued a number of educational psychologists was his suggestion that conflicts in viewpoints between children could provoke cognitive development. Murray (1982) discussed the educational implications of this hypothesis in his article. His research indicates that pairing conserving and nonconserving children together to solve conservation problems consistently leads the nonconserving child to adopt a conservation rule. He speculates that peer teaching may be a particularly effective method for organizing classroom instruction. To date, none of the Piaget educational programs that Johnson and Hooper reviewed has incorporated peer conflict teaching as an explicit feature of its curriculum. Undoubtedly, this pedagogical process will be explored in the 1980s. A fourth feature of Piaget’s theory that many early childhood educators (e.g., Kamii & DeVries, 1978) have adopted in some way is the use of motoric experiences to facilitate young children’s acquisition of knowledge. This hypothesis (Wolff & Levin, 1972) stems from Piaget’s contention that sensory-motor concepts derive from children’s motoric explorations of their environment. The implication that many early childhood educators have drawn from Piagent’s description is that preschoolers will be best taught by a curriculum emphasizing “hands-on” experiences. Often Montessori’s (1912/1964) tasks have been used due to that educator’s similar emphasis on the importance of motoric experience. Johnson and Hooper (1982) caution, however, that this motoric experience implication is now being challenged within Piagetian circles. Many of the early childhood programs reviewed by Johnson and Hooper (1982) have emphasized the use of the chidren’s play as an important instructional experience. Rubin and Pepler (1982) reviewed Piaget’s theorizing on the role of play in children’s development, and they discussed some common misinterpretations of Piaget’s notions by early childhood educators. In addition to its virtue in promoting motoric involvement, play is assumed to foster social interactions among children vis-a-vis learning materials. PIAGET’S The Incompatibility THEORY AND INSTRUCTION 207 Argument Other educators and psychologists feel that Piaget’s theory conflicts with or is unrelated to instruction. They present contrasting arguments such as (a) Piaget philosophically embraces “natural development” at the expense of organized educational experience; (b) “learning” is viewed as distinct from “development” and is degraded in importance to the latter construct; (c) direct instruction by adults is discouraged by Piaget in favor of indirect motoric discovery experiences with peers; (d) Piagetian educators tend to rule out the use of extrinsic rewards to motivate children and presume intrinsic motivation by all chidren; and (e) descriptive approaches to cognitive functioning such as Piaget’s cannot afford a basis for instruction because this enterprise is inherently prescriptive in nature. Let us consider each of these pedagogical criticisms. In his influential book, Brainerd (1978) has traced Piaget’s statements concerning the importance of natural development to Rousseauian philosophic origins. It will be recalled that Rousseau expressed the conviction that a child will develop best if left to his own inclinations. He believed that adults can only interfere with a child’s efforts to develop. While Piaget’s posture on the “natural development” issue was often unclear, he (Piaget, 1970a)repeatedly expressed his displeasure with what he believed to be a preoccupation by American psychologists with precocious teaching of children to function at developmentally advanced levels. He saw this “American question” as an unproductive pursuit at best and as potentially counterproductive. Piaget cautioned, “It’s probably possible to accelerate, but maximal acceleration is not desirable” (Jennings, 1967, p. 82). Perhaps he felt such experiences might be confusing or frustrating because they were developmentally advanced for the children. This leads to a closely related point. Piaget (1964) repeatedly distinguished between “development” and “learning.” Development was viewed as structural and fundamental to cognitive functioning, whereas learning was treated as superficial and transitory. Piagetians such as Smedslund (1961a, 1961b) conducted the first studies of this hypothesis. Preoperational children in these early studies failed to change their nonconservation judgments despite training, and Smedslund concluded that children’s developmental stage set limits on their degree of learning. Later, when other researchers (e.g., Beilin, 1965; Bruner, Olver, & Greenfield, 1966, Kingsley & Hall, 1967) began to report success in teaching children to conserve, Piagetian scholars demanded further evidence to clearly establish that conservation training outcomes were structurally “real” such as (a) rule statements or reasons for conserving, (b) resistance to countersuggestion, (c) transfer, (d) retention overtime, and (e) continued growth after training. The underlying premise for requiring increasingly rigorous 208 BARRY J. ZIMMERMAN criteria was Piaget’s assumption that learning outcomes were inherently inferior (i.e., not truly structural) to developmental outcomes. To critics of Piagetian theory, this distinction between learning and development implied that significant cognitive outcomes could not emerge directly from instruction. They felt that such an a priori theoretical posture tends to discourage systematic educational interventions with young children and tends to denigrate the importance of obtained instructional outcomes. A third implication of Piaget’s theory that bothers many educational psychologists is his discouragement of organized instruction, particularly direct, adult-initiated forms of instruction for children. Kamii and DeVries (1977) expressed this conclusion in the following way: “In general, we derive from Piaget’s theory the moral that it is fruitless to try specifically to organize content for children. Whatever we tell children or show them is bound to be assimilated in ways that are different from adult notions” (p. 406). The sort of instruction that Piaget (1970b) favored involved discovery learning: “it is clear that an education which is an active discovery of reality is superior to one that consists merely of providing the young with ready-made wills to will with and ready-made truths to know with” (pp. 26-27). While most educators would agree that discovery learning may be desirable at times for certain educational outcomes (e.g., teaching problem solving), it is generally considered to be a highly inefficient method of conveying information (Wittrock, 1966). The benefits of specific instructional objectives (Melton, 1978) and direct teacher instruction (Rosenshine & Berliner, 1978) is now well documented, and Piaget’s emphasis on indirect forms of instruction is difficult to accept in the absence of compelling data. A fourth criticism of Piaget’s (1977) theory involves his assumption of intrinsic motivation by all learners (Birns & Golden, 1973). Elkind (1974) described Piaget’s view as follows: “Education need not, then, concern itself with installing a zest for knowledge with the child since the desire to know is part of his makeup” (p. 109). The equilibration notion implies that children’s motivation for learning must emerge from within the children themselves. Many proponents of Piagetian instructional procedures have objected to the use of any sort of environmental task restructuring by teachers to improve children’s motivation (Elkind, 1974). They refer to all types of task manipulations including the use of incentives (Maccoby & Zellner, 1968). However, the positive effects of incentives on children’s learning has been extensively documented (e.g., O’Leary & O’Leary, 1972). Even those concerns about some possible drawbacks to certain forms of reinforcers (e.g., Deci, 1971; Lepper, Green, & Nisbett, 1973) have, under careful scrutiny, been found to be inapplicable to typical classroom reinforcement procedures (Bates, 1979, p. 572; Horn & Horn, 1980, p. 96). Almy (1964) concluded that Piaget’s theory applies best in PIAGET’S THEORY AND INSTRUCTION 209 those instances in which the developing child’s needs are being adequately met. Maccoby (1968) cautioned that “disadvantaged” children should not be assumed to be intrinsically motivated: “In the history of the culturally deprived child, intrinsic reward for learning has often not been sufficient enough to overcome the elements in his experience that would lead him to avoid, or be afraid of, learning situations. External rewards may be both necessary and desirable to get the child started in the learning process” (p. 198). The fifth criticism is more general. Rosenthal and Zimmerman (1978) have argued that Piaget’s theory is an essentially descriptive approach. Piaget studied age-related changes in children’s cognitive functioning but did little to examine the role of the environment. Some inferences about environmental influences were made during Piaget’s research on infants and toddlers (first 2 years of life). Such data allow few conclusions about how a teacher can best instruct a child. Studying the outcomes of teaching of children requires an experimental methodology. From experimental research, prescriptive rules for instruction can be drawn. Piaget’s genetic epistemological account affords relatively few prescriptive rules, as he acknowledged shortly before his death (Sinclair-DeZwart, 1977). The “Define and Conquer” Approach Many educational psychologists, even those who side with either the compatibility or incompatibility arguments, have decided to ignore the more general philosophical aspects of Piaget’s theory and to concentrate on empirically examining specific Piagetian constructs that relate directly to instructional concerns. Some general features of Piaget’s theory can be redefined in operational terms; others cannot. The following topics have been defined and studied to some extent: (a) Do stage measures predict learning? (b) Is conflict necessary for learning to occur? (c) Do stage measures predict performance on non-Piagetian cognitive tasks? and (d) Is motoric involvement necessary for learning? The issue of the utility of stage measures in predicting learning was one of the first to be studied by Piagetians. There were a series of studies (Beilin, 1965; Strauss & Langer, 1970; Brainerd, 1972; Langer & Strauss, 1972; Inhelder, Sinclair, & Bovet, 1974) that examined this issue by correlating pretest scores on Piagetian tasks with posttest outcomes after instruction. Positive correlations emerged in these studies, and they were interpreted as indicating the predictive utility of stages as constructs. Brainerd’s (1977) analysis of these studies, however, revealed a flaw: Posttest scores were composed of both pretest differences and learning outcomes. These two effects needed to be separated in order to answer the stage question. Brainerd (1982) argued that efforts to answer this question must involve the use of a different type of research paradigm 210 BARRY J. ZIMMERMAN than has been used in the past, and he proposed an AT1 (Aptitude or Stage Treatment Interaction) model to provide definitive answers to this question. Thus, the question of the usefulness of stage measures in predicting learning remains open. A second issue involves the claim by Piaget that cognitive conflict is a necessary condition for development. Murray (1982) summarized research on use of social conflict in teaching children to conserve and found consistent evidence of the successfulness of this procedure. However, social conflict research is not definitive on this issue since social conflict is different from cognitive conflict (disequilibrium) as Sigel (1979) has noted, and no study of social conflict, to my knowledge, has yet examined whether cognitive conflict was in fact produced. An operational definition of disequilibrium that is separate from social conflict (and learning outcomes) is necessary before such research can be undertaken. A third issue that has attracted considerable recent attention by researchers is the usefulness of stage measures in predicting children’s performance on non-Piagetian tasks. This issue has been termed “operativity” research, and correlations between performance on a wide variety of Piagetian tasks and performance on mathematics, reading, memory tasks, language tests, and discrimination learning tasks have been reported. In general, results have been unimpressive (Liben, 1980; Zimmerman, 1980). The correlations have typically been quite low, and the use of correlational designs have been challenged (Zimmerman, 1980). Performance on Piagetian tasks is known to be correlated to some degree with children’s age. Similarly, performance on the non-Piagetian task is known to be correlated with age. The fact that a child’s performance on both tasks is correlated to some degree says nothing about a causal relationship between stage measures and performance on non-Piagetian task. The best research on the operativity issue has been carried out by Gholson and Beilin (1979). Controlling for children’s age, they found that concrete operational youngsters (conservers) could learn a complex type of discrimination learning requiring hypothesis formation and testing, whereas nonconserving children could not learn. They interpreted their results as supporting an operativity hypothesis. However, Spiker and Cantor (1977; Cantor & Spiker, 1978) challenged this conclusion and showed in their research that preoperational children could profit from discrimination learning if a less confusing experimental methodology was used to determine the youngsters’ hypotheses. Zimmerman (1980) argued, however, that definitive evidence supporting an operativity hypothesis can come only from a research paradigm in which operativity (e.g., the ability to conserve) is taught specifically. If discrimination learning occurred after operativity training but not before, then an operativity assumption appears justified. Such research has not been conducted to date. PIAGET’S THEORY AND INSTRUCTION 211 A final issue that has attracted the attention of several researchers is the role of motoric involvement in preoperational stage children’s learning. Wolff and Levin (1972) have demonstrated that motoric contact with toys improved the children’s recall. Such a finding does not establish motoric involvement as a necessary condition for learning, only as a facilitative one. Nor does it indicate why motoric involvement was facilitory. In fact, evidence was available in the Wolff and Levin study that indicated that memory was improved by viewing interactions among the stimuli whether they were carried out by the children themselves or by the experimenter. This finding is in accordance with rather extensive evidence in the memory literature showing that embedding stimuli in an event sequence greatly improves recall (e.g., Jensen & Rohwer, 1965; Jenkins, 1974). Wolff, Levin, and Longobardi (1974) studied the relative effects of vicarious and personal motoric experience using a yoking design. One child could manipulate toys in a paired-associate study and a second child was instructed to watch. While no differences were found on an immediate posttest, toy manipulators displayed greater recall than observers after a day’s delay. These authors concluded that motoric involvement was necessary for learning in addition to exposure to interaction experiences with the stimuli. However, Brody, Mattison, and Zukerwise (1978) conducted a study in which an adult model’s manipulations and child manipulations of toys were factorially controlled, and they found significantly greater adult manipulation effects compared to child manipulations. When viewed together, these studies indicate that the quality of the manipulations of toys in the most important determinant of recall (Zimmerman, 1981). Motoric involvement can assist children to form stable representations, but it does not appear to be a requisite condition for learning by kindergarten-age children. Attractive Features of Piaget’s Approach for Teacher It is possible to consider Piaget’s contributions to teaching in a less explicit by nonetheless useful sense. Perhaps ultimately these will be his most enduring contribution to the field of education: (a) his description of children as constructing coherence from reality based on their experience to date and his conclusion that their cognitive framework differs from that of an adult in important ways; (b) his concern for interrelations among units of children’s knowledge; (c) his suggestion to look at children’s errors to deduce the nature of that personal construction; and (d) his advocacy of research involving careful observation of a single child’s activity in naturalistic contexts. Many teachers are attracted by Piaget’s description of children as fundamentally rational beings who from the earliest moments of life strive to make sense out of the world as they encounter it. To Piaget, thinking is 212 BARRY J. ZIMMERMAN never fragmented to the child even though it is usually inaccurate by adult standards. Therefore, children are never creatures that enter the learning setting with a “blank mental state” or “tabula rasa.” Rather, they apply to each learning encounter the most relevant concepts they have available, and these concepts will constitute the initial basis for subsequent cognitive constructions. This viewpoint demands that teachers treat students as active individuals who have a “vested interest” in a unique point of view. Knowledge cannot be “force-fed” in an adult form to children, but instead must be adapted to the youngsters’ current mode of understanding. A second feature of Piaget’s theory that appeals to many teachers is his emphasis on the interrelationship among units of knowledge. All too often, non-Piagetian psychologists have studied children’s acquisition of a concept (such as choosing the odd stimulus in an array) without much concern for previously held, related concepts, such as the meaning of terms like “same” or “different.” Unlike most researchers, teachers are responsible for instructing children in many concepts, so the interrelationships of units of knowledge is a very relevant issue in their instructional decision making. While Piaget was not very interested in determining potential functional relationships among concepts (e.g., can conservation of number be taught before counting), he was interested in naturally occurring sequential relationships among concepts. Obviously, sequential relationships among concepts may eventually prove to be functional ones. Such information about the relatedness of concepts is valuable in making instructional decisions. A third attractive feature of Piaget’s approach is his interest in examining children’s errors to determine their understanding of their environment. In retrospect this seems like an obvious approach to understanding children’s thinking, but in fact it has been infrequently used by developmental psychologists before Piaget. For example, most tests designed to assess children’s mental development, such as the Wechsler intelligence test, give little attention to the nature of incorrect responses. Piaget’s fascination with these errors began when he worked for a time in Binet’s laboratory in Paris. Siegler’s (1982) article is a compelling account of how children’s errors can be used to infer the underlying rules a child is using. Many psychologists, and I suspect many teachers, will find Siegler’s rule notion to be even more useful than Piaget’s stage construct for instructional decision making because a great deal is known about how to teach rules to children (e.g., Gag&, 1968; Zimmerman & Rosenthal, 1974), and thus misunderstandings of children that can be defined in rule terms can be directly corrected. A final useful feature of Piaget’s approach to studying children for teachers is his demonstration of how careful observation of a single child PIAGET’S THEORY AND INSTRUCTION 213 in a naturalistic setting can yield useful knowledge about children in general. Piaget’s descriptions of his own children’s learning during the sensory motor period was, in the opinion of many developmental psychologists, his best work. In his research, he described his children’s reactions to naturally occurring events such as their foot striking the side of their crib. These accounts provided some evidence about which experiences led to cognitive development, unlike his work with older children which was primarily concerned with establishing developmental milestones. Piaget’s descriptions of circular reactions between infants and their environment were particularly vivid portrayals of learning experiences. Many psychologists were initially skeptical about the reliability and generalizability of data emerging from Piaget’s intensive study of a single child; however, his results have been widely replicated with children from throughout the world. Piagetians, along with psycholinguists, ethologists, and operant psychologists have demonstrated the scientific value of intensive research on relatively few children in naturalistic contexts. Because teachers must ultimately deal with individual children if a student fails to learn, they are attracted to the findings of individual child studies. Summary Piaget’s contributions to developmental psychology have been enormous. The scope of his theory and his compelling research studies did much to define the parameters of developmental psychology for over 2 decades. While his interpretations of his findings have been widely challenged, even his severest critics will readily acknowledge the heuristic value of his theory. During this period of time, Piaget’s theory has changed substantially in its emphasis, if not in its precept. Piaget’s initial picture of children as solitary constructors of their own concepts from motoric experiences and as persons who are relatively impervious to the forces of social experience has slowly changed. For example, Piaget’s (1946/1962) early arguments with Guillauime (1926/1971) about children’s capacity to adopt or “internalize” knowledge from social models (see Furth, 1969, pp. 75-76) have taken a “back seat” to his more recent discussions (Piaget, 1977) on how social conflict, particularly among peers, might lead to cognitive development. In my judgment, recent research from across the entire spectrum of developmental psychology, particularly in the area of language learning (e.g., Fillmore, 1971; MacNamara, 1972; Cohen, 1973; Nelson, 1974) is making constructivist conceptions of cognitive development that treat the child as a solitary determiner of his or her own cognitive organization increasingly untenable. The role of social agents in influencing a child’s constructive activity is becoming increasingly well documented (Jenkins, 1974; Labouvie-Vief & Chandler, 1978; Rosenthal & Zimmerman, 1978). The importance of cul- 214 BARRY J. ZIMMERMAN ture, social group, and early childhood filial experiences on cognitive development are now widely recognized as issues in need of further study. These issues have been historically important to educational psychologists, and as Piagetian scholars move to address them more fully in their research, Piaget’s theory will undoubtedly become more useful to educators. Although some critics may question how flexible or specific Piaget’s theory will be in guiding socially oriented research on cognition during the 198Os, Piagetian scholars remain convinced of its heuristic value. The continued existence of such controversy would, as Johnson and Hooper (1982) have noted, disappoint Piaget if he were alive today because it indicates his ideas have not yet been fully assimilated into the field of developmental psychology. Ironically, however, such conflict reflects the continuing relevance of his theory to developmental psychologists and educators. REFERENCES ALMY, M. New views on intellectual development in early childhood education. In A. H. Passon & R. Leeper (Eds.), Intellectual development. Washington, D.C.: Association for Supervision and Curriculum Development, 1964. BATES, J. A. Extrinsic reward and intrinsic motivation: A review with implications for the classroom. Review of Educational Research, 1979, 49, 557-576. BEILIN, H. Learning and operational convergence in logical thought development. Journal of Experimental Child Psychology, 1965, 2, 317-322. BIRNS, B., & GOLDEN, M. The implications of Piaget’s theories for contemporary infancy research and education. In M. Schwebel & J. Raph (Eds.), Piaget in the classroom. New York: Basic Books, 1973. BRAINERD, C. J. The age-stage issue in conservation acquisition. Psychonomic Science, 1972, 29, 115-117. BRAINERD, C. J. Cognitive development and concept learning: An interpretive review. Psychological Bulletin, 1977, 84, 919-939. C. J. Piaget’s theory. Englewood Cliffs, N.J.: Prentice-Hall, 1978. BRAINERD,C. J. The stage learning hypothesis: Strategies for instructional design. Contemporary Educational Psychology, 1982, in press. BRODY, G. H., MATTISON, S. L., & ZUKERWISE, B. L. Imagery induction in preschool children: An examination of subject and experimenter generated interactions. Journal of Genetic Psychology, 1978, 132, 307-311. BRUNER, J. S., OLVER, R. R., & GREENFIELD, P. M. Studies in cognitive growth. New York: Wiley, 1966. CANTOR, J. H., & SPIKER, C. C. The problem-solving strategies of kindergarten and first grade children during discrimination learning. Journal of Experimental Child Psychology, 1978, 26, 341-358. COHEN, D. Deictic reference in children’s speech. Paper presented at Linguistics Society of American Meetings, Winter, 1973. DECI, E. L. Effects of externally mediated rewards on intrinsic motivation. Journal of Personality and Social Psychology, 1971, 18, 105- 115. ELKIND, D. Children and adolescents. New York: Oxford Univ. Press, 1974. FILLMORE, C. J. Some problems for case grammar. Report of the State University and The Center for Advanced Study in the Behavioral Sciences, 1971. BRAINERD, PIAGET’S THEORY AND INSTRUCTION 215 and knowledge: Theoretical foundations. Englewood Cliffs, N.J.: Prentice-Hall, 1969. GAGN~, R. M. Contributions of learning to human development. Psychological Review, 1968, 75, 177- 191. GHOLSON,B., & BEILIN, H. A developmental model of human learning. In H. W. Reese & New York: L. P. Lipsett (Eds.), Advances in child hehalsior and development. Academic Press, 1979. Vol. 13. GUILLAUIME, P. Imitation in children. Chicago: Univ. of Chicago Press, 1971. (Originally published in French, 1926.) HOM, H. L., & HOM, S. L. Research and the child: The use of modeling of reinforcement/ incentives, and punishment. In D. G. Range, J. R. Layton, & D. L. Roubinek (Eds.), Aspects of early education. New York: Academic Press, 1980. INHELDER, B., SINCLAIR, H., & BOVET, M. Learning and the development of cognition. Cambridge, Mass.: Harvard Univ. Press, 1974. JENNINGS,F. G. Jean Piaget: Notes on learning. Saturday Review, May 20, 1967. JENKINS,J. Remember that old theory of memory? Well, forget it. American Psychologist, 1974, 29, 789-795. JENSEN,A. R., & ROHWER,W. D., JR. Syntactical mediation of serial and paired associate learning as a function of age. Child Development, 1965, 36, 601-608. JOHNSON,J. E., & HOOPER,F. H. Piagetian structuralism and learning: Reflections on two decades of educational application. Contemporary Educational Psychology, 1982, in press. KAMII, C., & DEVRIES, R. Piaget for early education. In M. C. Day & R. Parker (Eds.), The preschool in action. Boston: Allyn & Bacon, 1977. 2nd ed. KAMII, C., & DEVRIES, R. Physical knowledge in preschool education: Implications of Piaget’s theory. Englewood Cliffs, N.J.: Prentice-Hall, 1978. KINGSLEY, R. C., & HALL, V. C. Training conservation through the use of learning sets. Child Development, 1967, 38, llll- 1126. KUHN, D. The application of Piaget’s theory of cognitive development to education. Harvard Educational Review, 1979, 49, 340-360. LABOLJVIE-VIEF, G., & CHANDLER, M. J. Cognitive development: Idealism vs. contextualism. In P. B. Baltes (Ed.), Life span development and behavior. New York: Academic Press, 1978. Pp. 181-210. LANCER, J., & STRAUSS,S. Appearance, reality and identity. Cognition, 1972, 1, 105-128. LEPPER,M. R., GREEN,D. R., & NISBETT, R. E. Understanding children’s intrinsic interest with extrinsic rewards. Journal of Personality and Social Psychology, 1973, 28, 129- 137. LIBEN, L. The effect ofoperativity on memory. Paper presented at the Southeastern Conference on Human Development, Alexandria, Va., April 1980. MACCOBY,E. E. Early learning and personality. In R. D. Hess & R. M. Bear (Eds.), Early education. Chicago: Aldine, 1968. MACCOBY,E. E., & ZELLNER, M. Experiments in primary education. New York: Harcourt Brace Jovanovich, 1970. MACNAMARA, J. Cognitive basis of language learning in children. Psychological Review, 1972, 7, 195-203. MELTON, R. F. Resolution of conflicting claims concerning the effect of behavioral objectives on student learning. Review of Educational Research, 1978, 48, 291-302. MONTESSORI,M. The Montessori method. New York: Schocken, 1964. (Originally published in English, 1912.) MURRAY, F. B. Teaching through social conflict. Contemporary Educational Psychology, 1982, in press. NELSON, K. Concept, word, and sentence: Intercorrelations in acquisition and development. Psychological Review, 1974, 81, 267-285. FURTH, H. G. Piaget 216 BARRY J. ZIMMERMAN O’LEARY, K. D., & O’LEARY, S. G. (Eds.) Classroom management: The successful use of behavior modification. New York: Pergamon, 1972. PIAGET, J. Language and thought of the child. London: Routledge & Kegan-Paul, 1959. PIAGET, J. Play, dreams and imitation. New York: Norton, 1962. (Originally published as La Formation du Symbole Chez t’Enfant. Neuchatel: Delachaux & Niestle, 1946.) PIAGET, J. Developmental and learning. In R. E. Ripple & V. N. Rockcastle (Eds.), Piaget rediscovered. Ithaca, N.Y.: School of Education, Cornell University, 1964. PIAGET, J. A conversation with Jean Piaget. Psychology Today, 1970, 3, 25-32. (a) PIAGET, J. The science of education and the psychology of the child. New York: Viking, 1970. (b) PIAGET, J. The development of thought: Equilibration of cognitive structures. New York: Viking, 1977. ROSENSHINE,B., & BERLINER, P. Academic engaged time. British Journal of Teacher Education, 1978, 4, 3-16. ROSENTHAL, T. L., & ZIMMERMAN, B. J. Social learning and cognition. New York: Academic Press, 1978. RUBIN, K. H., & PEPLER,P. J. Children’s play: Piaget’s views reconsidered. Contemporary Educational Psychology, 1982, in press. SIGEL, I. E. The Piagetian system and the world of education. In D. Elkind & J. H. Flavell (Eds.), Studies in cognitive development: Essays in honor of Jean Piaget. New York: Oxford Univ. Press, 1969. SIGEL, I. E. On becoming a thinker: A psycho-educational model. Educational Psychologist, 1979, 14, 70-78. Educational SIEGLER, R. S. The rule assessment approach and education. Contemporary Psychology, 1982, in press. SINCLAIR-DEZWART, H. Recent developments in genetic epistemology. Genetic Epistemologist, 1977, 6, l-4. SMEDSLUND,J. The acquisition of conservation of substance and weight in children II. External reinforcement of conservation of weight and the operations of addition and Journal of Psychotogy, 1961, 2, 71-84. (a) subtraction. Scandinavian SMEDSLUND, J. The acquisition of conservation of substance and weight in children IV. An attempt at extinction of the visual components of the weight concept. Scandinavian of Psychology, 1961, 2, 153- 155. (b) Journal SPIKER, C. C., & CANTOR, J. H. Factors affecting hypothesis testing in kindergarten children. Journal of Experimental Child Psychology, 1977, 28, 230-248. 1970, 41, STRAUSS,S., & LANGER, J. Operational thought inducement. Child Development, 163- 175. WEIKART, D. The cognitively oriented curriculum. Urbana, Ill.: ERIC NAEYC, 1971. WITTROCK, M. C. The learning by discovery hypothesis. In L. S. Shulman & E. R. Keisler (Eds.), Learning by discovery. Chicago: Rand McNally, 1966. WOLFF, P., & LEVIN, J. R. The role of overt activity in children’s imagery production. Child Development, 1972, 43, 537-543. WOLFF, P., LEVIN, J. R., & LONGOBARDI, E. T. Activity and children’s learning. Child Development, 1974, 45, 221-223. ZIMMERMAN, B. J. Operativity: A critic’s view of the construct and related research. Paper presented at the Southeastern Association for research on human development, Alexandria, Va., April 1980. ZIMMERMAN, B. J., & ROSENTHAL, T. L. Observational rule learning by children. Psychological Bulletin, 1974, 81, 29-42. ZIMMERMAN, B. J. Social learning theory and cognitive constructivism. In I. E. Siegel, D. M. Brodzinsky, & R. M. Golinkoff (Eds.), New directions in Piagetian theory and practice. Hillsdale, N.J.: Erlbaum, 1981. Pp. 39-49.