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Creative thought: structure, components, and educational implications.


Fostering creativity has been a primary goal of many programs for gifted students. To design appropriate educational programs for developing creative thinking skills, however, requires an understanding of the nature of creative thought. In this article, the author reviews recent studies on the cognitive mechanisms underlying creative thought and proposes a general model. This model holds that creative thought involves interactions among a number of distinct cognitive components. Some of the implications of this model for the design of effective educational programs are discussed.

"Practitioners are recognizing that giftedness gift·ed  
adj.
1. Endowed with great natural ability, intelligence, or talent: a gifted child; a gifted pianist.

2.
 in young people is a set of behaviors brought to bear on complex problems requiring an insightful, logical, or creative solution" (Renzulli & Purcell, 1996). This seemingly seem·ing  
adj.
Apparent; ostensible.

n.
Outward appearance; semblance.



seeming·ly adv.
 straightforward statement has several important implications. For example, this view leads us to the conclusion that giftedness should be defined in a flexible fashion, focusing on performance capabilities rather than fixed traits (Gardner, 1983; Sternberg & Clinkenbeard, 1995). It suggests, moreover, that educational programs for the gifted should seek to develop creative thinking skills-those skills needed to solve novel, complex problems.

This goal, although laudable laud·a·ble
adj.
Healthy; favorable.
, poses a problem for educators. Ideally, our understanding of creative thought should provide guidance for the design of requisite educational programs to develop or encourage creativity. Many models of creative thought have been proposed over the years (e.g., Dewey, 1910; Finke, Ward, & Smith, 1992; Isaksen & Parres, 1985; Merrifield, Guilford, Christensen, & Frick, 1962; Wallas, 1926). As a result, we are left with a situation where many developmental activities are possible, but little guidance, either empirical or theoretical, is available to help us identify those likely to make a real contribution to the development of students' creative thinking skills (Bull, Montgomery, & Baloche, 1995). Will "real world" experience really help develop students' creative thinking skills? Should we encourage students to work on self-initiated projects or should we make sure they grasp basic principles? Is exploration more important than feedback about performance errors?

We need research to answer these and a host of other questions addressing the development of students' creative thinking skills. Nonetheless, it is unlikely this research will prove to be of great value unless we have a more comprehensive, integrative framework for understanding creative thought. Accordingly, in this article, I will present a framework for understanding creative thought, noting the key cognitive capacities people apply in solving novel, complex problems. I will then examine some of the implications of this model for the development of students' creative thinking skills.

Models

Types of Models

When one considers the many models of creative thought that have been proposed over the years, the Years, The

the seven decades of Eleanor Pargiter’s life. [Br. Lit.: Benét, 1109]

See : Time
 stated goal may appear very ambitious. It should be recognized, however, that virtually all models of creative thought are based on either of two broad sets of assumptions. The first of these sees creative thought as an unconscious, uncontrollable phenomenon. This view of creative thought is evident in models that stress the importance of insight and the "aha" experience (e.g., Arieti, 1976; Dallob & Dominowski, 1992; Wallas, 1926). The second set of assumptions sees creative thought as a directed, controlled phenomenon that ultimately depends on the active manipulation of available information using mechanisms such as analogical an·a·log·i·cal  
adj.
Of, expressing, composed of, or based on an analogy: the analogical use of a metaphor.



an
 reasoning (e.g., Qin & Simon, 1990; Stemberg & Lubart, 1991).

Unconscious Associations

Models of creative thought that stress the importance of the unconscious take as their point of departure the "aha" experience where a solution suddenly emerges after a period of preparation and incubation incubation /in·cu·ba·tion/ (in?ku-ba´shun)
1. the provision of proper conditions for growth and development, as for bacterial or tissue cultures.

2.
. For example, Houtz and Frankel (1992) found that providing students with a period of incubation (Med.) the period which elapses between exposure to the causes of an infectious disease and the attack resulting from it; the time during which an infective agent must grow in the body before producing overt symptoms of disease.

See also: Incubation
 by having them work on a distraction Distraction
Divination (See OMEN.)

Porlock

a “person from Porlock” interrupted Coleridge while he was recollecting the dream on which he based “Kubla Khan”. [Br. Lit.: Poems of Coleridge in Magill IV, 756]
 task ultimately contributed to the production of more original solutions on a divergent thinking Noun 1. divergent thinking - thinking that moves away in diverging directions so as to involve a variety of aspects and which sometimes lead to novel ideas and solutions; associated with creativity
out-of-the-box thinking
 task. Associational mechanisms, mental interconnections among ideas or emotions, are commonly used to explain these sorts of effects (Seifert, Meyer, Davidson, Patalano, & Yaniv, 1995). More specifically, representations, abstractions of past performances, are held to be associated with each other and relevant situational cues. Problem solving problem solving

Process involved in finding a solution to a problem. Many animals routinely solve problems of locomotion, food finding, and shelter through trial and error.
 arises from actuating ac·tu·ate  
tr.v. ac·tu·at·ed, ac·tu·at·ing, ac·tu·ates
1. To put into motion or action; activate: electrical relays that actuate the elevator's movements.

2.
 the right representation, either directly vis-a-vis relevant cues, or through the spread of activation activation /ac·ti·va·tion/ (ak?ti-va´shun)
1. the act or process of rendering active.

2. the transformation of a proenzyme into an active enzyme by the action of a kinase or another enzyme.

3.
 on the network of associations, a phenomenon which may account for incubation. Those associations, and the rule systems limiting representation, are held to be experientially based and outside conscious awareness, in the sense that they cannot be easily anticipated (Dienes, 1992; Reber, 1989; Seger, 1994).

Other evidence is available which underscores the importance of associational mechanisms to creative thought. For example, Mednick and Mednick (1967) have shown that measures reflecting the ability to identify remote associations are related to creative achievement. Along similar lines, studies by Eysenck (in press) and Proctor A person appointed to manage the affairs of another or to represent another in a judgment.

In English Law, the name formerly given to practitioners in ecclesiastical and admiralty 
 (1993) indicate that phenomena related to a widening of associational horizons, such as over-inclusion, attending to a wide range of stimulants Stimulants
A class of drugs, including Ritalin, used to treat people with autism. They may make children calmer and better able to concentrate, but they also may limit growth or have other side effects.

Mentioned in: Autism
, or simply performing manipulations intended to force new associations, contribute to creative thought. These models can be extended to account for the role of intuition intuition, in philosophy, way of knowing directly; immediate apprehension. The Greeks understood intuition to be the grasp of universal principles by the intelligence (nous), as distinguished from the fleeting impressions of the senses.  in many creative efforts - in particular, intuition based on implicit rule systems (Policastro, 1995). In addition, these models may aid us in understanding the emotion, implicit or explicit, in many creative ventures in relation to associational links with goals and outcomes salient to the individual (Epstein, 1994).

The question that arises at this juncture junc·ture
n.
The point, line, or surface of union of two parts.
 is whether these associational systems are indeed unconscious. Some initial evidence along these lines has been provided by Metcalfe (1986), who collected "feeling of warmth" ratings ("How close are you to a solution?") from students as they worked on routine problems and novel insight problems, and found that insight problems, as opposed to more routine problems, displayed the sudden increases in warmth ratings characteristic of insight based on unconscious associational networks. In another study along the same lines, Jausovec and Bakracevik (1995) found that these sudden increases in feeling of warmth ratings were correlated cor·re·late  
v. cor·re·lat·ed, cor·re·lat·ing, cor·re·lates

v.tr.
1. To put or bring into causal, complementary, parallel, or reciprocal relation.

2.
 with increases in heart rate-a finding pointing to arousal arousal /arous·al/ (ah-rou´z'l)
1. a state of responsiveness to sensory stimulation or excitability.

2. the act or state of waking from or as if from sleep.

3.
 of unconscious affect.

Conscious Analogies

Models of creative thought that stress conscious analogical reasoning do not typically see affect as an essential aspect of creative thought. Instead, these models stress the fundamental importance of knowledge and the person's active, conscious acquisition and manipulation of knowledge. Thus, general cognitive abilities, or more specific abilities, that promote the more rapid acquisition of knowledge in certain domains or the more rapid processing of this information, are held to represent, along with expertise, crucial influences on cognitive thought (Ericsson & Charness, 1994; Snow & Swanson, 1992).

Even as they recognize the influence of abilities and expertise, these models stress the importance of what people do with the knowledge they have available. Thus, most models of this sort attempt to understand creative thought in terms of requisite processes and the operations and strategies people use as they execute these processes. Although a number of process models have been proposed, most assume that multiple interdependent in·ter·de·pen·dent  
adj.
Mutually dependent: "Today, the mission of one institution can be accomplished only by recognizing that it lives in an interdependent world with conflicts and overlapping interests" 
 processes are involved in creative problem solving Creative problem solving is the mental process of creating a solution to a problem. It is a special form of problem solving in which the solution is independently created rather than learned with assistance. Creative problem solving requires more than just knowledge and thinking. , including problem construction, information gathering, information organization, combination and reorganization, idea generation, idea evaluation, implementation planning Operational planning associated with the conduct of a continuing operation, campaign, or war to attain defined objectives. At the national level, it includes the development of strategy and the assignment of strategic tasks to the combatant commanders. , and monitoring (Finke, Ward, & Smith, 1992; Mumford, Mobley, Uhlman, Reiter-Palmon, 8,: Doares, 1991; Sternberg, 1986). However, the importance of a given process may vary with problem type, such that information gathering is very important for creative problem solving in science, while idea evaluation is more important in design and marketing.

Of these processes, the combination and reorganization process is viewed as the one most likely to be consistently important. It is only through combination and reorganization of extant ex·tant  
adj.
1. Still in existence; not destroyed, lost, or extinct: extant manuscripts.

2. Archaic Standing out; projecting.
 knowledge structures that it is possible to generate the new understandings that provide the basis for idea generation (Mumford & Gustafson, in press). Recent studies by Finke (Finke, 1995; Finke, Ward, & Smith, 1992) and Mumford (Mumford, Baughman, Maher, Costanza, & Supinski, in press) have shown that skill in combining and reorganizing concepts of knowledge is related to performance on a variety of creative problem solving tasks, including machine design problems, advertising problems, business problems, and story writing problems, yielding correlations with indices of solution quality and originality o·rig·i·nal·i·ty  
n. pl. o·rig·i·nal·i·ties
1. The quality of being original.

2. The capacity to act or think independently.

3. Something original.

Noun 1.
 in the 40's, while accounting for variance beyond that attributable to relevant abilities.

Recent work by Baughman and Mumford (1995) and Mumford, Baughman, Maher, Costanza, and Supinski (in press) examining the operations and strategies used in executing the combination and reorganization process found that when people were asked to combine similar concepts (e.g., birds and pets), instructions encouraging the identification and mapping of overlapping features (e.g., live in houses) promoted the production of the highest quality, most original solutions. However, when people were asked to combine more diverse categories (e.g., birds and vacations), instructions encouraging a focus on overlapping features were not as effective at encouraging creative production as instructions calling for the use of metaphors (e.g., birds fly and flight represents freedom). These findings underscore The underscore character (_) is often used to make file, field and variable names more readable when blank spaces are not allowed. For example, NOVEL_1A.DOC, FIRST_NAME and Start_Routine.

(character) underscore - _, ASCII 95.
 the importance of applying appropriate strategies when executing certain processes and illustrate the need for multiple strategies to be used in executing different processes. Even given this point, it should be clear that combination and reorganization, and thus creative thought, ultimately depend on analogical reasoning where one explicitly searches for relationships and uses these abstract relationships as a basis for generating new understandings (Mumford & Gustafson, in press; Reeves & Weisburg, 1994). Subsequent elaboration of these new understandings through divergent thinking in idea generation and then evaluation and implementation of those ideas makes creative thought creative problem solving.

An Integrative Model

As Keane (1991) points out, it is difficult to see how the generation of new understandings through analogical reasoning mechanisms can occur without active conscious processing. This conclusion is consistent with the findings of Heinzen, Mills, and Cameron (1993), indicating that attention span and inquisitiveness in·quis·i·tive  
adj.
1. Inclined to investigate; eager for knowledge.

2. Unduly curious and inquiring. See Synonyms at curious.
 are among the best predictors of achievement for gifted students working in the sciences. These observations make it difficult to see how one can integrate the unconscious associational and conscious analogical models Analogical models are a method of representing a phenomenon of the world, often called the ‘target system’ by another, more understandable or analysable system. They are also called dynamical analogies.  of creative thought. One potential solution to this quandary may be found in a recent study by Sawyer (1992). Sawyer used observational techniques In marketing and the social sciences, observational research (or field research) is a social research technique that involves the direct observation of phenomena in their natural setting.  to identify the thought processes This is a list of thinking styles, methods of thinking (thinking skills), and types of thought. See also the List of thinking-related topic lists, the List of philosophies and the .  used by jazz musicians This is a list of jazz musicians on whom Wikipedia has articles. Some of the most notable jazz musicians
  • Louis Armstrong (1901–1971)
  • Ornette Coleman (born 1930)
  • John Coltrane (1926–1967)
  • Count Basie (1904–1984)
 during a performance. He found that cycles of conscious and unconscious processing occurred at different points in the performance. In his study of artists, Martindale (1990) reached a similar conclusion, arguing that both conscious and unconscious mechanisms were involved at different points in a creative effort.

These observations suggest that an integrative model might be developed which incorporates both types of creative thought. Figure 1 provides an illustration of this kind of model, indicating the major kinds of cognitive components likely to be involved. The model outlines the processes that contribute to creative problem solutions, from the activation of mental representations by external cues, through the allocation of attentional resources and construction of the problem, to the manipulation of mental models and base concepts and the generation of potential problem solutions.

[Figure 1 ILLUSTRATION OMITTED]

This model holds that creative thought begins with unconscious associational mechanisms as cues in the stimulus situation and spreading activation Spreading activation is a method for searching associative networks, neural networks or semantic networks. The search process is initiated by labeling a set of source nodes (e.g. concepts in a semantic network) with weights or "activation" and then iteratively propagating or "spreading"  of certain representations. Activation of salient representatives results in affect and allocation of attention to certain representations. These activated activated

a state of being more than usually active. In biological systems this is usually brought about by chemical or electrical means. Commonly said of pharmaceutical and chemical products.
 representations in turn provide the basis for initiating conscious processing during problem construction, where the goals, diagnostics, procedures, and restrictions embedded Inserted into. See embedded system.  in activated representations are screened, and the common elements appearing in these representations are used to define or structure the nature of the problem (Holyoak & Spellman, 1993; Mumford, Reiter-Palmon, & Redmond, 1994). Once conscious processing has been initiated, processes such as information gathering, and combination and reorganization, along with the associated strategies, are used to manipulate knowledge structures and provide the new understandings that serve as the basis for idea generation and translation of these new ideas "New Ideas" is the debut single by Scottish New Wave/Indie Rock act The Dykeenies. It was first released as a Double A-side with "Will It Happen Tonight?" on July 17, 2006. The band also recorded a video for the track.  into action.

With regard to this model, two somewhat subtle points are worthy of mention. First, knowledge within this model may be manipulated through the use of base concepts, or relatively simple, but important ideas. However, these base concepts may be organized into more complex structures: mental models reflecting systems involving a number of concepts. Second, conscious processes may also be applied in the manipulation of these more complex structures (Goldschmidt, 1991). For example, Carlson and Gorman (1992) have shown that Alexander Graham Bell's success in developing the telephone may be attributed to the use of a more appropriate model-the ear rather than the telegraph. In fact, reorganization of knowledge structures to create new mental models may represent an aspect of creative thought of equal importance to the creation of new base concepts (Mumford & Connelly, 1993).

The model presented in Figure 1 not only stresses the importance of knowledge, it also assumes that creative thought, once conscious processing has been initiated, is a highly-directed activity. Combination and reorganization depends on the acquisition of relevant information, appropriate procedures, and the availability of viable concepts for organizing and understanding this information. In this sense, critical thought and careful, extensive information searches lay a foundation for the creation of the new understandings that are the hallmark hallmark, mark impressed on silverwork or goldwork to signify official approval of the standard of purity of the metal, also called plate mark. The hallmark was introduced by statute in England in 1300 and enforced by the Goldsmiths' Hall, London.  of creative thought (Mumford, Baughman, & Sager, in press). Divergent thinking in subsequent idea generation occurs relatively late in the cycle, followed by an evaluation of the ideas for originality and workability, as well as an evaluation of the ideas' acceptability (Runco & Chand, 1994).

In executing all these processes, however, multiple operations will be called for that might be executed in a number of different ways. The usefulness of these strategies, like the importance of particular processes, will vary with the nature of the problem at hand. This flexible use of strategies, especially systematic strategies which avoid trial and error, may be essential for creative thought (Kaizer & Shore, 1995; Carr CARR Carrier
CARR Customer Acceptance Readiness Review
CARR Carrollton Railroad
CARR Corrective Action Request and Report
CARR City Area Rural Rides (Texas)
CARR Configuration Audit Readiness Review
CARR Customer Acceptance Requirements Review
, Alexander, & Schwanenflugel, 1996). Furthermore, individuals may differ in preferred strategies, preferred processes, and preferred mechanisms, leading to the possibility that multiple cognitive styles Cognitive style is a term used in cognitive psychology to describe the way individuals think, perceive and remember information, or their preferred approach to using such information to solve problems.  may influence creative thought. In fact, recent studies of the cognitive styles linked to creative thought suggest that two major styles are commonly observed, one reflecting a preference for the use of unconscious associations, often characteristic of artists, and one reflecting a preference for conscious analogical reasoning, often characteristic of scientists (Martinsen, 1993; Mumford, Costanza, Threlfall, Baughman, & Reiter-Palmon, 1993; Stocki, 1991).

Supporting Evidence

This model is attractive in part because it seems consistent with a number of somewhat anomalous a·nom·a·lous  
adj.
1. Deviating from the normal or common order, form, or rule.

2. Equivocal, as in classification or nature.
 observations that have emerged in recent studies of creative thought. For example, this model assumes that unconscious associational processes precede conscious analogical reasoning, solving a recognition and structuring function. Some support for this proposition has been provided in studies by Davidson (1995), who found that the sudden emergence of solutions was more likely to occur on problems emphasizing initial definition of the situation than problems calling for the combination of knowledge structures. Along similar lines, Gentner, Ratterman, and Forbus (1993) found that degree of similarity Similarity is some degree of symmetry in either analogy and resemblance between two or more concepts or objects. The notion of similarity rests either on exact or approximate repetitions of patterns in the compared items.  in the superficial superficial /su·per·fi·cial/ (-fish´al) pertaining to or situated near the surface.

su·per·fi·cial
adj.
1. Of, affecting, or being on or near the surface.

2.
 attributes of the problem was associated with problem recognition, while the use of underlying analogies was relevant when knowledge needed to be transferred to novel problems.

Another implication of this model pertains to the conditions under which incubation is observed in creative thought. Specifically, incubation effects are contingent on Adj. 1. contingent on - determined by conditions or circumstances that follow; "arms sales contingent on the approval of congress"
contingent upon, dependant on, dependant upon, dependent on, dependent upon, depending on, contingent
 whether the problem can be solved easily, once one looks at it in the right way, and whether the relevant representations are available. Individuals, however, are likely to have a range of representations available only when they have substantial experience in a domain. Thus, this model appears consistent with the finding that incubation seems more characteristic of experts' than novices' creative efforts (Ericsson & Chamess, 1994).

A third and final implication of this model pertains to the allocation of attentional resources. Mumford, Reiter-Palmon, and Redmond (1994) have shown that active processing can be induced by having students restate re·state  
tr.v. re·stat·ed, re·stat·ing, re·states
To state again or in a new form. See Synonyms at repeat.



re·state
 problems before starting work. Active processing during problem construction was shown to contribute to solution quality and originality on an advertising task. However, when students were asked to solve "real life" leadership, school, and counseling problems, this manipulation did not have significant effects on solution quality and originality (Reiter-Palmon, Mumford, Boes, & Runco, 1995). Presumably pre·sum·a·ble  
adj.
That can be presumed or taken for granted; reasonable as a supposition: presumable causes of the disaster.
, the students' perceptions of the goals associated with these latter tasks as being relevant resulted in attention and active processing, making the instructional manipulation unnecessary.

Educational Implications

The model of creative thought presented above is still in its initial stages of development. Nonetheless, I believe that this model, and the supporting research, even at this early juncture have some noteworthy implications for the development of creative thinking skills. In the following sections, I discuss the implications of the model with regard to the content that might be provided and the processes that might be taught in a program to develop creativity. I also discuss implications of the model for the structure of such programs and for the assessment of students' creative thinking skills.

Content

Processes and strategies used to generate new ideas operate on knowledge. In fact, it is through the acquisition and application of implicit, associational structures and explicit, analogical structures that creative thought becomes possible. Thus, creative thinking skills are contextualized. Effective skill development will therefore require application of skills within various content domains (Campbell, McCloy, Oppler, & Sager, 1993).

As skills are acquired within content domains, a number of steps might be taken that are likely to promote later creativity. With respect to the formal knowledge structures used in conscious processing, two points should be borne in mind. First, it is advisable ad·vis·a·ble  
adj.
Worthy of being recommended or suggested; prudent.



ad·visa·bil
 to develop base concepts in such a way that principles, or features, are clearly articulated and students are provided with multiple instantiations of those concepts. Of course, efforts along these lines are most likely to prove successful if students are asked to actively work with and apply those concepts (Chi, Bassock, Lewis, Reimann, & Glaser, 1989). Second, it should be recognized that creative thought may often involve more complex knowledge structures, such as mental models, as well as base concepts. Accordingly, once students have developed the requisite base concepts, exercises will prove useful that illustrate: major models for understanding different phenomena; the principles involved in constructing coherent models, and the potential applications of alternative models (Mumford & Gustafson, in press).

Formal knowledge is not the only kind of knowledge that influences creative thought. Clearly, the representations derived from past experience and the associational rules linking these representations are a form of knowledge that structures initial problem definitions and directs self-initiated creative problem solving. Educators can also seek to develop creative thought by influencing these implicit associational structures. For example, one might try to provide students with real world problem solving experiences consistent with the students' goals and interests. In fact, this experiential ex·pe·ri·en·tial  
adj.
Relating to or derived from experience.



ex·peri·en
 approach has become a noteworthy new component of many innovative programs for the gifted (Renzulli, 1994). Experiences of this sort, however, are most likely to prove useful in developing creative thinking skills if they are structured to provide multiple, diverse representations. One way this might be accomplished is by asking students to list and discuss relationships they see among current events.

With regard to experiential learning, however, an important caveat should be noted. Experiential learning is inherently somewhat unstructured, and effective use of experience in creative thought requires the availability of multiple, interrelated in·ter·re·late  
tr. & intr.v. in·ter·re·lat·ed, in·ter·re·lat·ing, in·ter·re·lates
To place in or come into mutual relationship.



in
 representations. As a result, educational experiences of this sort typically represent a late cycle learning activity, proving most beneficial after students have acquired some formal expertise working within a domain. This conclusion is consistent with the observations of Ericsson and Charness (1994), indicating that effective use of representational systems representational systems,
n.pl a neurolinguistic programming term for the senses (visual, auditory, olfactory, kinesthetic, and gustatory).
 in insight problems is only consistently observed after people have some experience working with certain types of problems.

Procedures

The model presented above specifies that creative thought also involves the processes, operations, and strategies needed to work with information. Our observations with regard to the nature and structure of these knowledge manipulation procedures also have some important implications for how we seek to develop creative thinking skills. First, although attempts to develop creative thinking skills have traditionally focused primarily on divergence divergence

In mathematics, a differential operator applied to a three-dimensional vector-valued function. The result is a function that describes a rate of change. The divergence of a vector v is given by
 in the exploration of alternatives, the model of creative thought at hand suggests that critical thinking skills may provide a necessary foundation for creative thought. One cannot create viable new understandings through combination and reorganization, unless one has first gathered pertinent information and structured this information appropriately (Mumford, Baughman, & Sager, in press). Accordingly, educational activities that provide students with procedures for identifying key factual information and anomalous observations, while helping them learn to separate the wheat from the chaff chaff

1. chaffed hay; called also chop.

2. the winnowings from a threshing, consisting of awns, husks, glumes and other relatively indigestible materials.
, may provide a necessary skill for the generation of viable new ideas.

Second, the need for controlled, critical thought prior to the creation of new understandings and subsequent idea generation is not the only point where evaluative activities influence creative thought; indeed, new ideas must be evaluated and plans for implementing viable ideas must be generated. These observations suggest that we might improve creative thought by providing students with standards for evaluating new ideas and identifying restrictions on, or potential downstream problems associated with, plans for implementing new ideas. It may, however, prove difficult to translate these principles into classroom settings where we now get "the one right answer." One way we might address this issue is to provide students with additional standards for evaluating new ideas-for example, coherence coherence, constant phase difference in two or more Waves over time. Two waves are said to be in phase if their crests and troughs meet at the same place at the same time, and the waves are out of phase if the crests of one meet the troughs of another. , comprehensiveness, usefulness, and originality (Runco & Chand, 1994; Thagard, 1989). Also, exercises that encourage students to see problems and solutions as dynamic entities they can redefine Verb 1. redefine - give a new or different definition to; "She redefined his duties"
define, delimit, delimitate, delineate, specify - determine the essential quality of

2.
 or revise as they identify restrictions might prove useful, particularly when accompanied by appropriate feedback from peers and teachers (Mumford, Zaccaro, Harding, & Fleishman, in press).

Third, although critical, creative thought both precedes and proceeds the creation of new understandings and generation of ideas, these divergent di·ver·gent  
adj.
1. Drawing apart from a common point; diverging.

2. Departing from convention.

3. Differing from another: a divergent opinion.

4.
 processes represent a crucial component of creative thought. Typically, creativity is greatest when people use understandings they have developed to generate new ideas (Finke, Ward, & Smith, 1992). Although this suggests that the independent creation of new understandings should be encouraged in students, it should be recognized that the identification of relationships and construction of concepts is a difficult and time consuming activity. As a result, problems calling for the generation of new concepts should be carefully graded to the student's level of development. Moreover, early in a developmental sequence, where expertise is lacking, it may prove useful to encourage students to generate ideas around given concepts or hypothetical Hypothetical is an adjective, meaning of or pertaining to a hypothesis. See:
  • Hypothesis
  • Hypothetical
  • Hypothetical (album)
 models that have a number of implications. For example, students might be asked to "brain storm" about possible uses for a paper clip or ways to find information about another country's national holidays. Such extended search exercises where students look for the implications of a concept may do much to facilitate idea generation while discouraging dis·cour·age  
tr.v. dis·cour·aged, dis·cour·ag·ing, dis·cour·ag·es
1. To deprive of confidence, hope, or spirit.

2. To hamper by discouraging; deter.

3.
 the belief that new concepts and new ideas emerge in full power requiring little elaboration and refinement.

Finally, the model of creative thought presented above also suggests some concrete ways we can help students learn to create new understandings and new ideas. For example, combination and reorganization depends on the identification of relationships. Thus, students might benefit from instruction that demonstrates linkages or relationships among different concepts. Another potentially useful procedure is to teach students about the various types of relationships (e.g., temporal Having to do with time. Contrast with "spatial," which deals with space. ) within a domain and to illustrate the kind of strategies (e.g., feature mapping, use of metaphors) that might be used to construct relationships (Baughman & Mumford, 1995).

In showing students how to apply the strategies involved in the combination and reorganization process or other relevant processes, such as information gathering, two points should be borne in mind. First, curricula should be designed both to illustrate strategies and to provide practice in strategy application (Kay KAY Kick Ass Year
KAY Kansas Association of Youth
, 1994), because both the understanding of approaches and practice applying strategies contribute to creative thought (Mumford, Baughman, & Sager, in press). Second, allowing students to try to discover strategies on their own, at least initially, may prove problematic, as they may default to a simple trial and error approach or try to apply inappropriate, inefficient strategies that interfere with learning (Ward, 1991).

Structure

The model described here also has implications for the structure of instruction in creative thinking. In particular, the exercises used will depend on the domain at hand and the kind of processes and strategies under consideration. For example, given the differences observed between unconscious associational mechanisms and conscious analogical mechanisms, one would not expect the same exercises to prove useful in developing these different creative thinking skills. This point is nicely illustrated in a series of studies by Houtz and Frankel (1992) and Suler and Rizziello (1987). Their studies of imagery exercises, a technique intended to facilitate associational search, indicate that this type of developmental activity has little effect on creative problem solving when conscious, directed thought is required. On the other hand, it seems reasonable to hypothesize hy·poth·e·size  
v. hy·poth·e·sized, hy·poth·e·siz·ing, hy·poth·e·siz·es

v.tr.
To assert as a hypothesis.

v.intr.
To form a hypothesis.
 that exercises intended to encourage effective information gathering through a search for key facts and observations that are inconsistent with these facts would prove of limited value in facilitating the application of unconscious associational mechanisms in creative thought.

This observation is of some importance because it points to a broader conclusion. Creative thought involves multiple systems and a number of different cognitive elements. As a result, we cannot expect that a single type of educational program will provide a "magic bullet (jargon) magic bullet - (Or "silver bullet" from vampire legends) A term widely used in software engineering for a supposed quick, simple cure for some problem. E.g. "There's no silver bullet for this problem". ." Instead, what is needed are packages of educational activities intended to develop different components of creative thought. These packages of activities, moreover, might be structured so that the capacities being developed occur in a sequence facilitating the acquisition of progressively more complex creative thinking skills. Thus, the development of base concepts and initial models, along with information gathering and evaluation skills, should generally precede exercises intended to encourage the independent development of new understandings.

In developing educational packages such as those called for above, it is important to consider that the cognitive capacities that have the greatest impact on creative thought vary somewhat from domain to domain, depending on the nature of the problems confronting students. For example, problem construction appears to represent a particularly important influence on creative problem solving for artists (Dudeck & Cote, 1994; Kay, 1994), while idea generation is particularly important for creative problem solving in business settings (Mumford, Zaccaro, Harding, & Fleishman, in press). Thus, the amount of time invested in developing certain capacities should vary somewhat from one domain to another.

Assessment

The domain dependence of creative thought is of particular concern when we want to identify students who would benefit from programs for the gifted and talented (Baer, 1994; Callahan, 1991; Sternberg & Lubart, 1995). In fact, the model of creative thought at hand suggests a potential compromise between general assessments of creative potential and more tailored performance-based assessments. When predictions about potential must be made across a number of domains, measures of intelligence, divergent thinking, and associational abilities may have some value. The model proposed here, however, suggests the usefulness of measures of potential based on other key processes, such as problem construction and combination and reorganization, which play a general role across domains of creative thought. In fact, Mumford, Baughman, Supinski, Costanza, and Threlfall (in press) have shown that measures intended to assess effective application of these processes can be developed to predict performance on a variety of creative problem solving tasks, while accounting for variance above and beyond that attributable to traditional ability measures.

When it is not possible to assess creative potential within a given performance domain, however, this model suggests some alternatives. For example, one might assess potential by examining the quality of the mental models students construct from a set of base categories. Alternatively, one might examine the efficiency and flexibility with which students apply various processing strategies representing important influences on performance. Thus, by understanding creative thought and applying new, more sophisticated cognitive models The term cognitive model can have basically two meanings. In cognitive psychology, a model is a simplified representation of reality. The essential quality of such a model is to help deciding the appropriate actions, i.e.  it may prove possible to formulate formulate /for·mu·late/ (for´mu-lat)
1. to state in the form of a formula.

2. to prepare in accordance with a prescribed or specified method.
 a new approach to talent identification.

Conclusion

Some of these new assessment techniques and many of the educational activities recommended above have yet to be applied in programs for the gifted and talented. Programmatic pro·gram·mat·ic  
adj.
1. Of, relating to, or having a program.

2. Following an overall plan or schedule: a step-by-step, programmatic approach to problem solving.

3.
 efforts along these lines, however, may do much to enhance gifted education Gifted education is a broad term for special practices, procedures and theories used in the education of children who have been identified as gifted or talented. Programs providing such education are sometimes called Gifted and Talented Education (GATE) or  by developing the creative thinking skills students will need in the future, while providing students of creativity with an understanding of what really makes a difference in the development of creative thinking skills (Davis, 1991; Sternberg & Lubart, 1995; Treffinger, Sortore, & Cross, 1993; Walberg, & Herbig, 1991). Hopefully, the present effort will serve as an impetus for the systematic, theory-based development and evaluation efforts needed to make continuous progress in serving the needs of gifted students as we seek to develop their creative potential.

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Linda Kreger Silverman is a licensed psychologist and Director of the Institute for the Study of Advanced Development and its subsidiary, the Gifted Development Center, in Denver, Colorado. Editor of Advanced Development Journal, she also edited the popular textbook textbook Informatics A treatise on a particular subject. See Bible. , Counseling the Gifted and Talented.

Manuscript submitted January, 1997. Revision accepted June, 1997.
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