Effects of Solution Elicitation Aids and Need for Cognition on the Generation of Solutions to Ill-Structured Problems

Numerous techniques have been proposed to assist problem solvers in the solution generation process. We empirically examined the effectiveness of a solution elicitation technique based on the presentation of problem objectives and also examined whether the technique was effective across individual differences in need for cognition (NC). We found that when two conflicting objectives were presented successively, more solutions, more categories of solutions, and more effective solutions were generated than when the same two objectives were presented simultaneously or not at all. However, the results indicated that effective solutions may be more efficiently generated by considering objectives simultaneously. Need for cognition was positively related to measures of divergent thinking, and the presentation of objectives was particularly effective as a solution elicitation aid for individuals with low NC. Implications for creative problem-solving research and practice are discussed.     

Spatial and contextual factors in human performance on the travelling salesperson problem

The travelling salesperson problem (TSP) provides a realistic and practical example of a visuo-spatial problem-solving task. In previous research, we have found that the quality of solutions produced by human participants for small TSPs compares well with solutions from a range of computer algorithms. We have proposed that the ability of participants to find solutions reflects the natural properties of human perception, solutions being found through global perceptual processing of the problem array to extract a best figure from the TSP points. In this paper, we extend the study of human performance on the task in order to understand further how human abilities are utilised in solving real-world TSPs. The results of experiment 1 show that high levels of solution quality are maintained in solving larger TSPs than had been investigated previously with human participants, and that the presence of an implied real-world context in the problems has no effect upon performance. Experiment 2 demonstrated that the presence of regularity in the point layout of a TSP can facilitate performance. This was confirmed in experiment 3, where effects of the internality of point clusters were also found. All three experiments were consistent with a global, perceptually based approach to the problem by participants. We suggest that the role of perceptual processing in spatial problem-solving is an important area for further research in both theoretical and applied domains.     

Can false memories prime alternative solutions to ambiguous problems?

Research has demonstrated that false memories are capable of priming and facilitating insight-based problem-solving tasks by increasing solution rates and decreasing solution times. The present research extended this finding by investigating whether false memories could be used to bias ambiguous insight-based problem-solving tasks in a similar manner. Compound remote associate task (CRAT) problems with two possible correct answers, a dominant and a non-dominant solution, were created and normed (Experiment 1). In Experiment 2, participants were asked to solve these CRAT problems after they were given Deese/Roediger-McDermott lists whose critical lures were also the non-dominant solution to half of the corresponding CRATs. As predicted, when false memories served as primes, solution rates were higher and solution times were faster for non-dominant than dominant CRAT solutions. This biasing effect was only found when participants falsely recalled the critical lure, and was not found when participants did not falsely recall the critical lure, or when they were not primed. Results are discussed with regard to spreading activation models of solution competition in problem-solving tasks and current theories of false memory priming effects.     

Inter-individual and age differences in exploration, neophobia and problem-solving ability in a Neotropical raptor (Milvago chimango)

Animal innovations have far-reaching ecological and evolutionary consequences. The occurrence and persistence of an innovation require several processes, including exploration, social and asocial learning, and low neophobia. In addition, the identity of the innovator may determine how these new behaviours are socially transmitted. Taking into account inter-individual and age differences, we investigated three correlates of animal innovation: object exploration, neophobia level and novel problem-solving ability in an opportunistic generalist raptor, the Chimango Caracara (Milvago chimango). Eighteen individuals (7 adults and 11 juveniles) were caught during the non-breeding period and housed in individual cages in outdoor aviaries. Each bird was given three tests: exploration, neophobia and problem-solving. Individuals differed in their response to novel situations both within and between age groups. Most of the juveniles were more explorative and had a lower neophobic response to a strange object than adult birds, but both age groups were able to solve a novel problem when given a food reward. In juveniles, neophobia level and problem-solving performance were inversely related; however, we found no relationship between these behaviours in adults. Exploration did not correlate with neophobia or problem-solving ability for either age group. This research is one of the few studies exploring the inter-individual and age differences in behavioural innovation and their correlates in a bird of prey. The explorative tendency, low neophobia and ability to innovate showed by M. chimango may be advantageous for this generalist and opportunistic raptor and might be some of the factors underlying its ecological success.     

Problem-solving strategies on a partial reinforcement task: Effects of socioeconomic status and cognitive level

Differences in performance between lower- and middle-class children on partial reinforcement tasks have often been attributed to motivational differences between the groups. An alternate hypothesis suggests that different environmental experiences have resulted in differences in familiarity with problem-solving tasks. Both of these hypotheses have generated research; neither has received clear-cut support. A third hypothesis is that there is a developmental lag in the lower class so that equating the two groups on chronological age confounds the social class by cognitive-level interaction. In the present study, children were matched on cognitive abilities (preoperational, transitional, and concrete operational) and administered a partial reinforcement task. The main hypotheses that social-class differences would not be found but that cognitive level differences in success on the task and in problem-solving strategies would be found were supported. Implications were made concerning a developmental learning model that includes both qualitative and quantitative changes in abilities.     

Depression and social problem solving.

Twenty depressed patients with major depressive disorder, 20 nondepressed matched control subjects, and 17 patients with anxiety disorders were compared in different measures of social problem solving. Problem solving was assessed with the Means-Ends Problem-Solving Test (Study 1), the solution of personal problems, and a problem-solving questionnaire (Study 2). Results showed that, as predicted, depressed subjects suffered from a deficit in problem solving in all three measures. The majority of these deficits were also displayed by the clinical control group rather than being specific to a diagnosis of depression. However, depressed subjects produced less effective solutions than did normal and clinical control subjects. The results suggest that depressed and anxious patients may have difficulties at different stages of the problem-solving process.     

Errors in Creative Problem-Solving: Identify,Deliberate, and Remediate

It is often assumed creative performance is error free. Even a cursory inspection of eminent, creative, individuals indicates errors permeate creative efforts. In the present effort, the impact of error management on creative problem-solving is examined. Undergraduates, 136 in all, were asked to work through 10 potential problem solutions where half the solutions evidenced errors and half did not. Participants were asked to identify potential errors, deliberate on these errors, and remediate, or fix, errors prior to providing solutions to a problem calling for creative thought. It was found the number of errors correctly identified, and the quality of error remediation was positively related to the quality, originality, and elegance of problem solutions. More extensive deliberation, however, was found to be especially important for the production of original problem solutions. The implications of these observations for understanding the importance of error management in creative problem-solving are discussed.     

The wisdom of the crowd in combinatorial problems

The "wisdom of the crowd" phenomenon refers to the finding that the aggregate of a set of proposed solutions from a group of individuals performs better than the majority of individual solutions. Most often, wisdom of the crowd effects have been investigated for problems that require single numerical estimates. We investigate whether the effect can also be observed for problems where the answer requires the coordination of multiple pieces of information. We focus on combinatorial problems such as the planar Euclidean traveling salesperson problem, minimum spanning tree problem, and a spanning tree memory task. We develop aggregation methods that combine common solution fragments into a global solution and demonstrate that these aggregate solutions outperform the majority of individual solutions. These case studies suggest that the wisdom of the crowd phenomenon might be broadly applicable to problem-solving and decision-making situations that go beyond the estimation of single numbers.     

Creative Failure: Why Can't People Solve Creative Problems

Although people attempt many creative problem solutions, in general, most creative problem-solving efforts, at least real-world efforts, fail. In the present effort, we examine the reasons creative problem-solving efforts typically fail. We argue that creative problem-solving efforts fail, in part, due to the fundamental nature of the kinds of problems that call for creative thought. However, the nature of people's creative problem-solving skills and the context in which they attempt to develop and implement creative problem solutions also results in failed attempts to solve creative problems. Based on these observations, we discuss how one might seek to develop people to encourage more success in creative problem-solving efforts.     

Interpersonal problem solving in preschool and first grade: developmental change and ecological validity

Examined problem-solving strategies, their correlation with multiple-informant ratings of behavior problems and social competence, and developmental change over a 2-year period. Shure's (1999) model targets children's production of alternative solutions to interpersonal problems. Others have found that solution quality correlates more highly with adjustment. Children (N = 208, M age = 60 months) completed the Preschool Interpersonal Problem Solving (PIPS) task in Head Start and again 2 years later. Many children achieved substantial gains in problem-solving skill as measured by PIPS. The prosocial or forceful quality of children's responses correlated with observational, caregiver, and teacher ratings of behavior problems and social competence. Quality of response appeared more important than solution quantity in predicting ecologically valid behaviors, implying that interventions should concentrate on response content more than quantity.     

Strategy Shifts and Expertise in Solving Transformation Rule Problems

The acquisition of expertise in formal problem solving has been assumed to involve either a shift from backwards to forwards inference, or a shift from unguided to guided forwards inference. In a longitudinal study, the acquisition of formal problem-solving expertise was investigated. Participants were tested as novices before undertaking controlled practice in the problem domain which involved transformation rule problems, and were finally tested as experts. The direction of inference in problem solutions was found to be inadequate to describe the strategic differences between novices and experts. Therefore, a new solution coding system was applied, based on atomic components of problem solution. Analysis of novice and expert solutions revealed no systematic strategy in the novice stage—solutions were confused and contained unproductive steps and backtracking. Several strategies were found in the expert solutions, but they did not agree with previously reported results. It was therefore proposed that the acquisition of expertise does not involve a change from one specific solution strategy to another, but rather the development of an efficient strategy, which can differ between participants.     

Styles of problem solving in suicidal individuals

This study compared qualitative aspects of problem solving among suicide attempters, suicide ideators, and nonsuicidal patients. The subjects completed a suicidal intent scale and a problem-solving task involving three dilemmas. Problem solving was analyzed along eight qualitative categories: versatility of the various solutions, reliance on self versus others, activity versus passivity, confrontation versus avoidance, relevance of the solution to the problem, positive versus negative affect, reference to the future, and extremity of the solution. The statistical analysis yielded differences among the three groups. In general, the solutions of suicidal patients showed less versatility, more avoidance, less relevance, more negative affect, and less reference to the future than the solutions of the nonsuicidal patients. The suicide attempters and nonsuicidal patients offered more active solutions than did the suicide ideators. Our findings emphasize the importance of general coping styles, as well as energetic/motivational aspects and affective aspects of the problem-solving process. Some applications to therapy are discussed.     

Getting to Best: Efficiency versus Optimality in Negotiation

Negotiation between two individuals is a common task that typically involves two goals: maximize individual outcomes and obtain an agreement. However, research on the simplest negotiation tasks demonstrates that although naive subjects can be induced to improve their performance, they are often no more likely to achieve fully optimal solutions. The present study tested the prediction that a decrease in a particular type of argumentative behavior, substantiation, would result in an increase in optimal agreements. As substantiation behaviors depend primarily on supplied content of the negotiation task, it was also predicted that substantiation behavior would be reduced by curtailing the content. A 2 × 2 experimental design was employed, where both negotiation tactics (list of tactics present versus absent) and negotiation task content (high versus low) were varied to determine the processes leading beyond solution improvement to solution optimality. Sixty‐one dyads engaged in a two‐party, four‐issue negotiation task. All negotiations were videotaped and analyzed. Although the list of negotiation tactics resulted in improved performance, only the content manipulation resulted in a significant increase in dyads achieving optimal solutions. Analyses of the coded protocols indicated that the key difference in achieving optimality was a reduction in persistent substantiation‐related operators (substantiation, along with single‐issue preferences and procedures) and an increase in a complex macro‐operator, multi‐issue offers that reduced the problem space, facilitating the search for optimality.     

Testing problem-solving capacities: differences between individual testing and social group setting

Testing animals individually in problem-solving tasks limits distractions of the subjects during the test, so that they can fully concentrate on the problem. However, such individual performance may not indicate the problem-solving capacity that is commonly employed in the wild when individuals are faced with a novel problem in their social groups, where the presence of a conspecific influences an individual’s behaviour. To assess the validity of data gathered from parrots when tested individually, we compared the performance on patterned-string tasks among parrots tested singly and parrots tested in social context. We tested two captive groups of orange-winged amazons (Amazona amazonica) with several patterned-string tasks. Despite the differences in the testing environment (singly vs. social context), parrots from both groups performed similarly. However, we found that the willingness to participate in the tasks was significantly higher for the individuals tested in social context. The study provides further evidence for the crucial influence of social context on individual’s response to a challenging situation such as a problem-solving test.     

An investigation of the validity of the SPSI and SPSI-R in differentiating high-suicidal from depressed,low-suicidal college students

The present study examined the validity of the Social Problem-Solving Inventory (SPSI) and SPSI—Revised in differentiating 65 high-suicidal from 63 depressed, low-suicidal college students. Results from multivariate analyses indicated overall differences in problem-solving between these two groups as measured by the SPSI but not by the SPSI-R. Further examination of these differences revealed the high-suicidal group was different in problem-solving orientation, rather than problem-solving skills, compared to the depressed, low-suicidal group. However, when depression was statistically controlled in hierarchical regression analyses, none of the problem-solving measures predicted group membership. The superiority of the SPSI to the SPSI-R in differentiating these two groups appears to be accounted for by the elimination of 28 items in the revised version, many of which measure orientation to problem-solving. Also explored was the possibility that objective measures of problem-solving provide a better prediction of adjustment than do self-report measures.     

Converging evidence for the functional significance of imagery in problem solving

Two kinds of explanations have been offered for the process by which three-term series problems are solved, one in terms of linguistic principles and the other in terms of visual-spatial imagery. Two experiments are reported in which three different classes of operations are brought to bear on the problem: (1) Manipulation of stimulus attributes (characteristics of problems), (2) manipulation of variables that selectively encourage or inhibit the use of imagery (facilitating instructions; the suppression of visualization by reading), and (3) measurement of relevant individual differences (spatial-reasoning ability). All of the results indicate that imagery plays a functional but not a necessary role in the solution of three-term series problems; it is suggested that imaginal representation is functional because it reduces the load on memory. An adequate explanation of problem-solving will have to address certain general issues, such as the diversity of forms of cognitive representation and differences within and between individuals in the choice of problem-solving strategies.     

Preschool Children's Collaborative Problem-Solving Interactions: The Role of Gender,Pair Type,and Task

The purpose of this study was to investigate gender differences in problem-solving and conflict-resolution skills in preschool children. Children between 4 and 5 years of age completed 3 problem-solving tasks with either a same-sex or a different-sex peer. Children's verbal and nonverbal interactions were analyzed. Girls used mitigation more often than did boys. Mixed-sex dyads engaged in controlling verbal interactions more often than same-sex dyads. There were relationships between verbal and nonverbal behaviors and task success; these relationships also differed across pair types. The results of the study demonstrate that the gender differences in types of verbal interactions previously observed in preschool children's free play are also present in their problem-solving interactions and that children are able to alter the types of behaviors they use depending upon both partner gender and the type of task involved.     

From poor performance to success under stress: working memory, strategy selection, and mathematical problem solving under pressure

Two experiments demonstrate how individual differences in working memory (WM) impact the strategies used to solve complex math problems and how consequential testing situations alter strategy use. In Experiment 1, individuals performed multistep math problems under low- or high-pressure conditions and reported their problem-solving strategies. Under low-pressure conditions, the higher individuals' WM, the more likely they were to use computationally demanding algorithms (vs. simpler shortcuts) to solve the problems, and the more accurate their math performance. Under high-pressure conditions, higher WM individuals used simpler (and less efficacious) problem-solving strategies, and their performance accuracy suffered. Experiment 2 turned the tables by using a math task for which a simpler strategy was optimal (produced accurate performance in few problem steps). Now, under low-pressure conditions, the lower individuals' WM, the better their performance (the more likely they relied on a simple, but accurate, problem strategy). And, under pressure, higher WM individuals performed optimally by using the simpler strategies lower WM individuals employed. WM availability influences how individuals approach math problems, with the nature of the task performed and the performance environment dictating skill success or failure.     

Children's Interpretations of Marital Conflict

An experimental study was devised to investigate the proposition that among children of latency age a process evolves of developing conceptual structures for interpreting and resolving interpersonal conflicts. The study was designed within a cognitive-developmental frame of reference drawn heavily from the theory of Jean Piaget. It was hypothesized that there would be developmental differences in the number of factors the children could consider simultaneously and the levels of abstraction they would utilize in conceptualizing and solving problems involving interpersonal conflicts of interest and in explaining their choices of preferred solutions. The three parts of the problem-solving process analyzed were the children's role-taking skills, solutions to the problem, and general reasoning. Implications for practice are discussed.