Specific Instructional Design Principles and Effects
Specific Instructional Design Principles and Effects There are a range of specific instructional design principles and eVects that flow from the considerations outlined in this chapter. Cognitive load theory, an instructional theory based on the combination of information structures and cognitive architecture described earlier, has been used to generate those instructional eVects. 1. The Goal-Free EVect This eVect occurs when learners presented a conventional, goal-specific problem in which the goal might be ‘‘calculate the value of angle ABC’’ in the case of a geometry problem or ‘‘calculate the final velocity of the vehicle’’ in the case of a kinematics problem learn less than learners presented a nonspecific or goal-free problem. Examples of nonspecific goal problems are ‘‘calculate the value of as many angles as you can’’ or ‘‘calculate the value of as many variables as you can.’’ The goal-free eVect was obtained by Sweller and Levine (1982) and has been demonstrated on many occasions (Ayres, 1993; Sweller, & Cooper, 1985; Burns & Vollmeyer, 248 John Sweller2002; Geddes & Stevenson, 1997; Miller, Lehman, & Koedinger, 1999; Owen & Sweller, 1985; Paas, Camp, & Rikers, 2001; Sweller, 1988; Sweller et al., 1983; Tarmizi & Sweller, 1988; Vollmeyer, Burns, & Holyoak, 1996). It can be explained using the cognitive matrix of continua of Fig.1. Assume a novice problem solver solving conventional problems by means-ends analysis. As a novice, he or she will be on the left side of the matrix of continua. To make moves, diVerences between the current state and the goal state will need to be established, a potential move will need to be chosen randomly (assuming prior knowledge concerning the eVects of particular moves is unavailable), and each potential move will need to be assessed to establish whether it reduces diVerences between the current problem state and the goal state. Because working memory limitations are relevant on the left side of the matrix of continua, this complex procedure may leave few or no resources available to attend to schema acquisition. When acquiring a schema, learners must engage in the quite diVerent activity of learning to classify problems and problem states according to their moves. As a consequence, learning may be inhibited. In contrast, assume a problem solver who is presented goal-free problems. The only activity that needs to be engaged in is to choose any potential moves randomly and determine whether they can be made. Working memory load is minimal. Furthermore, learning which moves can be made given a particular problem state is central to schema acquisition. Sweller (1988) suggested that this interpretation explains the goal-free eVect. Presenting learners with goal-free problems may appear unusual if the aim is to present learners with direct, fully guided instruction. Goal-free problems reduce the guidance provided by a specific goal. For this reason, the procedure is eVective, but only if all moves made under goal-free conditions are useful in the sense that they need to be learned and practiced. Not all problems have this characteristic. Some problems have a large or even infinite number of moves that could be made with most moves serving no function. For example, asking learners to make as many manipulations as possible of the equation ða þ bÞ=c ¼ d can result in an infinite number of manipulations, as one can legitimately add an infinite number of constants to each side. Goal-free problems should not be used with such material and so an alternative is required. 2. The Worked Example EVect The use of worked examples can overcome the problem of goal-free problems only being useful for a limited class of problems. There are probably no classes of problems for which worked examples are not potentially eVective. Evolution of human cognitive architecture 249The worked example eVect occurs when learners who are presented with a large number of worked examples to study learn more than learners presented an equivalent number of problems to solve. The eVect has been studied extensively (Carroll, 1994; Cooper & Sweller, 1987; Miller et al., 1999; Paas, 1992; Paas & van Merrienboer, 1994; Pillay, 1994; Quilici & Mayer, 1996; Sweller & Cooper, 1985; Trafton & Reiser, 1993). Worked examples provide problem-solving guidance that can act as a substitute for schemas that are unavailable to novices. They are the ultimate form of direct instruction. Rather than engaging in the means-ends problem-solving search process described earlier, learners can be guided by a worked example acting as a substitude schema-based central executive. The lack of such a central executive necessitates problem-solving search, with its inevitable random components and working memory load found on the left side of the matrix of continua. While psychologically the learner is on the left side of the matrix of continua, a worked example allows him or her to perform as though they are on the right side of the matrix. A good example acts as a substitute for a schema-based central executive, eliminates the problem-solving search with its random base, and reduces diYculties imposed by a limited working memory because all necessary information is incorporated within the example (see later sections on split-attention, modality, and redundancy eVects). As a consequence, learning can be facilitated by an emphasis on worked examples resulting in the worked example eVect. 3. The Problem Completion EVect Most demonstrations of the worked example eVect involve presenting worked examples paired with very similar problems. Learners are presented a worked example and are then immediately presented a very similar problem to solve. This procedure ensures that learners are motivated to study the worked example in order to ensure that they can solve the following problem. The extent to which they can solve the following problem also provides them with some feedback concerning their ability to solve problems of that type. Completion problems were invented as an alternative to this procedure. Rather than presenting learners with full worked examples followed by similar problems, they are presented with partial worked examples that require completion. The partial worked example provides suYcient guidance to reduce the problem-solving search and cognitive load, whereas problem completion ensures that learners are motivated and receive feedback concerning their knowledge of relevant problem types. Paas (1992), Paas and van Merrienboer (1994), van Merrienboer (1990), van Merrienboer and 250 John Swellerde Croock (1992), van Merrienboer and Krammer (1987), and van Merrienboer, Schuurman, de Croock, and Paas (2002) provided evidence that completion problems have a positive eVect similar to that of worked examples when compared to full problems. It is reasonable to assume that the theoretical reasons for the problem completion eVect are identical to those used to explain the worked example eVect. 4. The Split-Attention EVect Not all worked examples are eVective. A worked example that is structured in a manner that ignores working memory limitations may be no more or even less eVective than solving the equivalent problem. Some worked examples in some areas are conventionally structured in a manner that requires learners to split their attention between multiple sources of mutually referring information before mentally integrating those sources of information. A conventional geometry worked example consisting of a diagram and statements provides an instance. The diagram in isolation provides no instruction. The associated statements, such as angle ABC ¼ angle XYZ, are unintelligible without a diagram. Meaning can only be derived from the worked example by mentally integrating the diagram and the statements. Mental integration requires working memory resources because learners must search for referents. When a geometry statement refers to angle ABC, learners must search the diagram for angle ABC in order to understand the statement. In eVect, the learner is not only on the left side of the matrix of continua for geometry, but is on the left side of the matrix for the particular example being studied. An act of problem solving must be engaged in simply to locate appropriate referents. Locating referents requires working memory resources that are unavailable for learning geometry. Because we do not normally have schemas for the labeling of particular geometry diagrams, providing guidance in locating referents can be just as beneficial as guidance in the more general terms discussed previously. Such guidance can be provided by physically integrating diagrams and statements. Rather than placing the statement angle ABC ¼ Angle XYZ below or next to the diagram as normally occurs, the relevant statements can be incorporated within the diagram so that a search for referents is eliminated. If conventionally structured worked examples are compared with physically integrated examples, results normally demonstrate an advantage for the integrated versions, resulting in the split-attention eVect. Various versions of the eVect have been demonstrated using a wide variety of materials under a wide variety of conditions. Furthermore, as might be expected, it is not restricted to worked examples but applies to any Evolution of human cognitive architecture 251instructional material (Bobis et al., 1993; Cerpa, Chandler, & Sweller, 1996; Chandler & Sweller, 1992, 1996; Mayer & Anderson, 1991,1992; Mwangi & Sweller, 1998; Sweller et al., 1990; Tarmizi & Sweller, 1988; Ward & Sweller, 1990). 5. The Modality EVect While physical integration of multiple sources of information can be highly eVective, there is an alternative that is equally eVective and, under some circumstances, may be preferable. The split-attention eVect relies on visual modality with visual search being reduced by the use of physical integration. Visual search means that the visual channel only (the visuospatial sketch pad of Baddeley, 1992; Baddeley & Hitch, 1974) is being used and overloaded under split-attention conditions. Considerable evidence, shows that eVective working memory can be increased by using dual rather than a single modality (e.g., Penney, 1989). While the visual and auditory processors of working memory are not fully separate in the sense that one does not obtain a simple additive increase in processing capacity by presenting some material visually and some in auditory mode, there is considerable empirical evidence of a measurable increase in working memory capacity when using both modalities (Allport, Antonis, & Reynolds, 1972; Brooks, 1967; Frick, 1984; Levin & Divine-Hawkins, 1974). From a theoretical perspective, capacity should increase to the extent that visual and auditory processors can function autonomously without sharing other cognitive structures that limit capacity. Some empirical evidence of an increase in working memory capacity when using both modalities also provides evidence for partial autonomy of the auditory and visual channels. The possibility of increasing working memory capacity using dual rather than a single modality should have instructional consequences. For example, under split-attention conditions, rather than presenting a diagram and written text that should be integrated physically, it may be possible to present a diagram and spoken text. Because the diagram uses visual modality while speech uses auditory modality, the total available working memory capacity should be increased, resulting in enhanced learning. The instructional modality eVect occurs when learners, faced with two sources of information that refer to each other and are unintelligible in isolation, learn more when presented with one source in visual mode and the other in auditory mode rather than both in visual mode. This eVect has been demonstrated on a number of occasions (Jeung, Chandler, & Sweller, 1997; Mayer & Moreno, 1998; Moreno & Mayer, 1999; Mousavi, Low, & Sweller, 1995; Tindall-Ford et al., 1997). 252 John Sweller6. The Redundancy EVect Both split-attention and modality eVects occur under very specific conditions. They are only obtainable when multiple sources of information refer to each other and are unintelligible in isolation. For example, a diagram and text will not yield either split-attention or modality eVects if the diagram is fully intelligible and fully provides the information needed, with the text merely recapitulating the information contained in the diagram in a diVerent form. Under such circumstances, the text is redundant. The redundancy eVect occurs when additional information, rather than having a positive or neutral eVect, interferes with learning. For example, instead of integrating a diagram with redundant text or presenting the text in auditory form, learning is enhanced by eliminating the text. There are many diVerent forms of redundancy. The previous diagram/text redundancy occurs when a self-explanatory diagram has additional text redescribing the diagram (Chandler & Sweller, 1991). Mental activity/ physical activity redundancy occurs when, for example, learning how to use a computer application by reading a text has the added physical activity of using the computer (Cerpa et al., 1996; Chandler & Sweller, 1996; Sweller & Chandler, 1994). Either reading the text in a manual or, surprisingly, physically using a computer can be redundant and interfere with learning. Summary/detailed exposition redundancy occurs when a summary alone results in enhanced learning compared to a full exposition (Mayer, Bove, Bryman, Mars, & Tapangco, 1996; Reder & Anderson, 1980, 1982) Finally, auditory/visual redundancy occurs when the same material, presented simultaneously in written and spoken form, results in a learning decrement compared to the material presented in written or auditory form alone (Craig, Gholson, & Driscoll, 2002; Kalyuga, Chandler, & Sweller, 1999, 2000; Mayer, Heiser, & Lonn, 2001). The redundancy eVect is one of the more surprising cognitive load eVects, with many people finding it quite counterintuitive. Most of us feel that even if additional explanatory material is not beneficial, at the very least it should be neutral. In fact, the addition of redundant information can have strong, negative consequences. The eVect can be understood in cognitive load theory terms. If one form of instruction is intelligible and adequate, providing the same information in a diVerent form will impose an extraneous cognitive load. Working memory resources will need to be used to process the additional material and possibly relate it to the initial information. It is likely to be only after the learner has processed the additional information that he or she will be aware that the activity was unnecessary. At that point, the damage may have been done. Evolution of human cognitive architecture 2537. The Element Interactivity EVect Split-attention, modality, and redundancy eVects all occur as a consequence of instructional procedures designed to reduce working memory load. It might be expected that the instructional procedures would only be eVective where the material being learned imposed an intrinsically high cognitive load. If material does not impose a high cognitive load, the additional load due to inadequate instructional procedures may not matter a great deal because working memory capacity may not be exceeded. An extraneous cognitive load due to inadequate instructional procedures may be irrelevant if the intrinsic cognitive load imposed by the structure of the information is low. Because low element interactivity material has a low intrinsic cognitive load, we can predict that cognitive load eVects may disappear when learning such material. The eVects may only be obtainable using high element interactivity material. Chandler and Sweller (1996) and Sweller and Chandler (1994) demonstrated that split-attention and redundancy eVects could be demonstrated readily using high element interactivity material but disappeared when low element interactivity material was used. Tindall-Ford et al. (1997) similarly found that the modality eVect could only be obtained using high element interactivity material. Marcus et al. (1996) found that diagrams for which we have schemas facilitated understanding when compared to text but only under conditions of high element interactivity. The finding that cognitive load eVects can only be obtained using high element interactivity material demonstrates the element interactivity eVect. It consists of an interaction between the split-attention, redundancy, and modality eVects and the complexity (as measured by element interactivity) of the material being learned. While it has not been tested using other cognitive load eVects, there is every reason to suppose that it could be obtained with all other eVects based on a limited working memory. It has been suggested in this chapter that the particular interaction between a limited working memory and a very large long-term memory had to evolve in order to handle high element interactivity material. High element interactivity material must be imbedded in schemas before it can be handled by a limited working memory. The element interactivity eVect indicates that when instruction deals with high element interactivity material, then the characteristics of human cognitive architecture, such as a limited working memory, become critical. 8. The Isolated Interacting Elements EVect Consider a learner faced with new material. That learner is on the left side of the cognitive matrix of continua. Consider further that element interactivity of the information that must be assimilated is suYciently high to 254 John Swellersubstantially exceed working memory capacity. Understanding cannot occur because understanding requires all interacting elements to be processed simultaneously in working memory. All the interacting elements cannot be processed simultaneously in working memory until schemas have been formed, but schemas will not be formed until the learner has moved toward the right of the matrix of continua. Because the learner cannot possibly understand the material until those schemas have been formed, understanding and learning may appear impossible at first sight. When the material is presented with all of its interacting elements, as it needs to be if understanding is to occur, it cannot be processed in working memory because it vastly exceeds working memory capacity. How does learning occur under such circumstances? One possibility (perhaps the only possibility) is that initially the elements must be learned as though they are isolated, noninteracting elements. Once suYciently sophisticated schemas have been constructed, understanding will occur because the interacting elements can now be processed in working memory. On this analysis, learning must precede understanding. If this analysis is valid, it is reasonable to hypothesize that learning might be facilitated by initially presenting very complex information to students in isolated elements form without emphasizing or even indicating the interactions between elements. Understanding of such instruction will be limited, but once it has been learned, presentation of the full information may permit understanding to occur. In contrast, presentation of the complete information that potentially could be understood during initial instruction may result in very little learning or understanding. Pollock et al. (2002) obtained precisely this eVect. Learners presented isolated elements to learn followed by the full set of interacting elements learned more than learners presented the full set of interacting elements twice, demonstrating the isolated interacting elements eVect. 9. The Imagination EVect Assume a novice on the left of the cognitive matrix of continua has acquired some schemas and is beginning to move toward the right of the continua. To attain relatively high levels of expertise, further learning will need to include automation of the previously acquired schemas that normally includes continuing to study the material until desired levels of performance have been attained. An alternative is to attempt to imagine the procedures that have been learned. Imagining requires the learner to mentally ‘‘run through’’ the procedures in working memory. For high element interactivity material, processing information in working memory is impossible until schemas have been acquired. Once they have been Evolution of human cognitive architecture 255acquired and the learner has moved toward the right of the matrix of continua, imagination techniques should be feasible and practice through imagination should assist in automation. Continuing to study the material should be unnecessary because studying high element interactivity material is designed to provide the guidance necessary to reduce search while acquiring schemas, as occurs on the left side of the matrix of continua. If schemas have already been acquired, there is no longer any need to provide instructional guidance to reduce search because, on the right of the matrix of continua, the central executive function of schemas is now able to operate. Using those schemas to imagine the procedures learned should facilitate further learning through automation in a manner that studying the instructions may not. Cooper, Tindall-Ford, Chandler, and Sweller (2001) tested this hypothesis and found that learners given instructions to ‘‘imagine’’ a set of procedures that needed to be learned performed better than learners given conventional ‘‘study’’ instructions. This imagination eVect was only obtained using learners with suYcient knowledge to be able to process all of the required information in working memory. For complete novices who were unable to process the high element interactivity material in working memory, a reverse imagination or ‘‘study’’ eVect was obtained with ‘‘study’’ instructions proving superior to ‘‘imagination’’ instructions. In other words, the eVect obtained depended on the levels of expertise of the learners. Higher levels of expertise could reverse the eVect obtained. The ideal form of instruction depended on the expertise of the learners. This reversal eVect with expertise, as it happens, is general. As described in the next section, most, perhaps all, of the cognitive load eVects described earlier depend on the use of novices. 10. The Expertise Reversal EVect With the exception of the imagination eVect, all of the previously described eVects were intended to provide new instructional procedures for novices who were on the far left of the cognitive matrix of continua. Learners, of course, continue to learn and may require instructional procedures after they have moved beyond the left of the matrix of continua. It turns out that frequently, once learners have acquired some knowledge, many of the eVects described previously reverse. With increased experience, conventional instructional procedures, such as practice at solving problems, are better than cognitive load procedures, such as studying worked examples. The imagination eVect diVers from the other eVects discussed in that the imagination technique is intended for more knowledgeable learners rather than complete novices and so reverses when the imagination technique is 256 John Swellerpresented to novices rather than the more experienced learners. In all other cases, the eVects shown using novices are reversed when using more experienced learners. The reversal is due to the redundancy eVect and is called the expertise reversal eVect. It is due to an interaction between simpler cognitive load eVects and levels of expertise and can be contrasted with the element interactivity eVect, discussed earlier, which consists of an interaction between simpler cognitive load eVects and task complexity. Using diagrams and text, Kalyuga, Chandler, and Sweller (1998) obtained the normal split-attention eVect with integrated diagrams and text proving superior to a split-attention format. A group presented the diagrams alone performed poorly because the text was essential in helping understand the diagram, a necessary condition for the split-attention eVect. The learners used were novices on the left side of the cognitive matrix of continua. Over several months training in the relevant, engineering area, they moved toward the right of the matrix of continua. The necessary guidance provided by the text became less and less essential as schemas were acquired to take over from the text. The superiority of the integrated format decreased with increased expertise. A point was reached where there was no diVerence between groups. Eventually, with additional training, the text became redundant. Learners could understand and learn from a diagram alone. Having to process unnecessary text increased the cognitive load. The presence of redundant text, especially in integrated form where it is diYcult to ignore, interfered with rather than facilitated learning. A redundancy eVect was obtained with the diagram-alone condition providing the best learning environment. Yeung, Jin, and Sweller (1998) obtained a similar eVect using textual materials. Learners with low levels of language competence were assisted by explanatory notes integrated into the primary text. Integrated notes retarded learning for learners with higher levels of language competence because the notes were redundant but were diYcult to ignore when integrated into the primary text. Other cognitive load eVects also disappear and then reverse with increased expertise. A modality eVect obtained with novices disappeared and then reversed (Kalyuga, Chandler,&Sweller, 2000) as expertise increased.Novices required textual material to assist them understand visually presented material; that textual material was best presented in spoken rather than written form, demonstrating the modality eVect. As expertise increased, that modality eVect disappeared and eventually, presenting the visual material alonewas superior to an audiovisual presentation or, indeed, any presentation that included the text. Guidance provided by textual material, essential to students on the left of the cognitive matrix of continua, was provided by the schemas nowavailable after students hadmoved to the right side of thematrix. Evolution of human cognitive architecture 257Similarly, Kalyuga, Chandler, Tuovinen, and Sweller (2001) found that the worked example eVect reversed with increased expertise. Novices require worked examples to provide them with guidance. Schemas, once they have been acquired, provide guidance, and worked examples become redundant. Kalyuga, Chandler, and Sweller (2001) and Tuovinen and Sweller (1999), using novices, found that direct instruction is superior to discovery learning. That diVerence disappeared if learners with more experience in the domain were used. These results can be used to explain other findings. McNamara, Kintsch, Songer, and Kintsch (1996) found that when learners were presented a textual passage to read and assimilate, those who were relatively expert in the area learned more from reduced passages that had segments omitted than the full passage. Learners with less experience in the area learned most using the full passage. On the present interpretation, novices required the full passage to allow understanding and so the full passage condition was superior. With increased experience, the added material was redundant and merely served to obscure critical points. Working memory resources were required to extract those critical points from the surrounding, redundant material, reducing learning and resulting in the superiority of the reduced passage. 11. The Guidance Fading EVect From an instructional perspective, the expertise reversal eVect suggests that as learners move from the left of the cognitive matrix of continua to the right, schemas increasingly provide guidance and so the guidance provided by instruction should be faded out. Unnecessary guidance has negative, not simply neutral eVects. Renkl and associates (Renkl, 1997; Renkl, Atkinson, & Maier, 2000) obtained precisely this result using combinations of worked examples, completion problems, and full problems. Using novices, they found that guidance provided by worked examples was the best form of instruction. With increasing expertise, it was desirable for those worked examples to be replaced with completion problems and, ultimately, with full unguided problems. It was indicated earlier that for novices, instruction should replace the missing central executive but that with increased levels of expertise, schemas play the role of a central executive. A guidance fading technique accords closely with this suggestion. Initially, with no central executive available, worked examples indicate relations between elements of information. As rudimentary schemas begin to form, they can take over some of the central executive function from worked examples and so complete worked examples are no longer necessary. Completion problems can be used as a substitute 258 John Swellerfor worked examples. Once full schemas have been constructed, they can act as a central executive and so full problem solving with no other guidance can be instituted. Additional learning through schema automation should occur during problem-solving practice. Renkl, Atkinson, Maier, and Staley (2002) found guidance fading as levels of expertise increase to be demonstrably superior to using a single instructional procedure. They compared the presentation of conventional worked examples with guidance fading. The worked example procedure incorporated the presentation of several pairs consisting of a worked example followed by a very similar problem to solve. This pairing of a worked example followed by a problem was used throughout the learning period, irrespective of changing levels of expertise. Results indicated that the guidance fading procedure was superior. The superiority of fading over a single design procedure (e.g., worked examples alone or problems alone) as expertise increases constitutes the guidance fading eVect. The guidance fading eVect, along with the expertise reversal eVect, indicates that individual diVerences, specifically diVerences in levels of expertise, are a critical consideration when choosing an instructional design. A design that is ideal for a person located toward the left of the cognitive matrix of continua may be quite inappropriate for someone further to the right of the matrix. Ignoring levels of expertise can result in the use of quite inappropriate instructional procedures. The instructional designs described in this section diVer from most instructional designs in that they are very closely tied to our knowledge of information structures and human cognitive architecture. Indeed, they were generated directly from that knowledge. It can be argued that they provide a degree of validity to the cognitive theories discussed. In any scientific area, it is diYcult or impossible to generate applications from substantially faulty theories. IV. Conclusions Human cognitive architecture has evolved to permit humans to engage in activities that range from prosaic to awe inspiring. There are logical structures that determine the way in which cognitive architecture deals with information. Those logical structures, along with the structure of infor- mation itself, must have determined the course of the evolution of human cognitive architecture. The basic information structures that underlie human cognitive architecture consist of a very large information store with limitations to ensure that any changes to that store do not destroy its functionality. The end result is an architecture designed to store immeasurable Evolution of human cognitive architecture 259amounts of information in a long-term memory but a very limited ability to deal with novel information in working memory. Information held in long- term memory guides most of our activities. Novel information in working memory can feed information into long-term memory and so alter long-term memory, but the logic of the governing information systems ensures that the alterations are relatively small to circumvent the unavoidable random components. As might be expected, this system logic is universal. It not only applies to the manner in which human cognitive architecture has evolved, it applies to the manner in which information is handled by the processes of evolution themselves. Evolution by natural selection can be characterized as an eVective and eYcient system for managing and adapting very complex, natural information to changing circumstances. Human cognitive architec- ture must also manage complex information. Accordingly, it would not be surprising if human cognitive architecture evolved to handle information in the same way as evolution by natural selection. Similarities in the way that the two systems function suggest that human cognitive architecture, by the processes of evolution by natural selection, has itself evolved to duplicate the manner in which evolution by natural selection deals with information. The logic of these systems places both restrictions on and generates opportunities for the manner in which information is presented and the activities in which learners should engage. Our cognitive architecture is structured with schemas providing an executive function guiding our mental activities. Instruction is required when those schemas are unavailable and must be acquired. Ideally, that instruction should provide an executive function that mimics the missing schemas as closely as possible in order to avoid random activities and reduce working memory load. Many instructional procedures that meet these requirements have now been devised. The successful generation of instructional procedures from theoretical principles provides a degree of validity for those principles. While the logic of the information systems discussed in this chapter places immense barriers to their alteration, their adaptability to new circumstances, even if slow and frequently ineVective, is their crowning glory. Evolution may occur over eons but its whole point is change and adaptability, resulting in the creation of new functions, processes, and entities. Similarly, learning is the adaptive engine of human cognitive architecture. It may take many years, especially if creativity is required because instruction from and imitation of other humans is unavailable, but it is the foundation function of human cognitive architecture. Only through learning does the ability to eYciently process high element interactivity material become possible, and processing high element interactivity material is characteristic of humans. Prior to learning, such material can be dealt with but only in an unguided, 260 John Swellerpartially random manner with all complex interactions ignored. Further- more, there is an inevitability about this limitation. There can be no mechanism to coordinate the very large number of possible combinations that can occur when dealing with even a relatively small number of elements that have not been learned. Because knowledge acquired through learning provides the only coordinating function, it is essential that our cognitive architecture evolved to ensure that only a limited amount of uncoordinated information is considered at any given time prior to learning. This limitation creates an immediate tension when dealing with high element interactivity information that cannot be limited or reduced in size without compromising understanding. Because high element interactivity material must be coordinated, a mechanism for coordinating such information had to evolve if it was to be processed. Schematic knowledge acquired through learning is that mechanism. There are very wide or perhaps no limits to the amount of previously learned information that humans can process. On this analysis, long-term memory is the source of human intellectual skill because long-term memory holds learned material. It may be this structure that took millions of years to evolve, and at least on earth, is unique to humans in terms of size. Our huge knowledge base is shared neither by other living creatures nor, to this point, by artificial devices created by humans. It may only be shared by the mechanisms that permit life itself to reproduce and evolve. Other cognitive structures, including ones not considered in this chapter, such as sensory systems, are both ubiquitous and frequently superior to their human equivalent. In contrast, our immense long-term memory, with its close connections to learning, has no cognitive equivalent on earth. That structure is quintessentially human. Acknowledgments The author thanks Paul Ayres, Brett Hayes, Paul Ginns, Slava Kalyuga, and Nadine Marcus for providing comments on earlier versions of this chapter. This work was supported by grants from the Australian Research Council. References Allport, D., Antonis, B., & Reynolds, P. (1972). On the division of attention: A disproof of the single channel hypothesis. Quarterly Journal of Experimental Psychology, 24, 225–235. Anderson, J. R., & Lebiere, C. (1998). The atomic components of thought. Hillsdale, NJ: Erlbaum. Aparicio, S. (2000). How to count human genes. Nature Genetics, 25, 129–130
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