The effects of superficial and structural information on online problem solving for good versus poor anagram solvers

The two experiments reported here tested two predictions concerning the sensitivity of good and poor problem solvers to superficial and structural information during online problem solving: (a) Superficial features have a greater effect on solution difficulty for poor problem solvers, whereas (b) structural features have a greater effect on solution difficulty for good problem solvers. The tests were conducted in the domain of anagram solution by manipulating or measuring several superficial and structural characteristics in this domain. The results supported both predictions. They also indicated that better problem solvers have access to structural information from the earliest stages of processing (within the first 2 s). The authors discuss the implications of their results for the types of solution strategies used by more and less competent anagram solvers.     

The effects of superficial and structural information on online problem solving for good versus poor anagram solvers

The two experiments reported here tested two predictions concerning the sensitivity of good and poor problem solvers to superficial and structural information during online problem solving: (a) Superficial features have a greater effect on solution difficulty for poor problem solvers, whereas (b) structural features have a greater effect on solution difficulty for good problem solvers. The tests were conducted in the domain of anagram solution by manipulating or measuring several superficial and structural characteristics in this domain. The results supported both predictions. They also indicated that better problem solvers have access to structural information from the earliest stages of processing (within the first 2 s). The authors discuss the implications of their results for the types of solution strategies used by more and less competent anagram solvers.     

Examining the validity of scores from an instrument designed to measure metacognition of problem solving

The authors' purpose in this study was to gather evidence on the validity of scores on an instrument designed to evaluate levels of metacognition in problem solving--Swanson's 15-item metacognition questionnaire (1990, 1993). Forty-three participants took part in this study: 21 professors and 22 graduate students from several Western and Midwestern campuses in the fields of psychology and educational psychology. A Kendall Coefficient of concordance (W) was performed to determine the consistency of ranked responses for professors, students, and both groups combined, and to determine whether their responses matched those of the scoring key for the instrument we studied. This analysis indicated problems for some of the responses to this instrument, as demonstrated through the ranking task developed in this study. Many of the professors disagreed with the ranking of the responses suggested by Swanson. There is certainly a need for more instruments to validly measure metacognition. This instrument is one that, with some modification, might be used more in research on metacognition.     

Transfer effects in a problem solving context

In recent years hypothesis theory has been applied to transfer between problems and thus used to explain a variety of transfer phenomena. A version of the theory is presented which leads to the prediction that identical variations in identical problems can lead to opposite trends in speed of solution of a critical problem depending on the nature of that problem. Using numerical tasks it was demonstrated that identical variations in preliminary problems either can transform a normally simple problem into an insoluble one or alternatively an insoluble problem into a simple one with the only alteration being in the degree of similarity between the hypotheses required for the initial problems and the critical problem. Implications for Einstellung, the sequence effect and general problem solving are discussed.     

Accessing relevant information during problem solving: Time constraints on search in the problem space

An experiment examines the effect of time constraints on the ability of subjects to utilize relevant information during problem solving. Previous studies found that potentially relevant information was not effectively utilized unless subjects were explicitly informed of the information’s relevance to the problem. The present study demonstrates that subjects who are not informed of the relation between relevant information and the problem are still able to access the information if allowed adequate time. These findings are interpreted within a model of problem solving that postulates search in a problem space as fundamental to the problem solving process.     

Creativity: A complementary relationship between information demand and success at problem solving

Creativity, intelligence, and problem-solving tasks that varied the explicitness of problem definition and the format for an acceptable solution were administered to 100 subjects. Creativity and intelligence tasks were described as different problem-solving tasks. Two hypotheses that distinguished between concepts of creative and intelligent problem solving were presented and supported. First, the syntactical hypothesis stated that the format of an acceptable solution would define the factor structure of the problem-solving tasks more parsimoniously than the explicitness of the problem definition. The factor structure was interpreted by the type of acceptable solution format. Second, the strategic hypothesis stated that information demanded to define a problem and success at problem solving would interact. Information demanded and success at problem solving did interact producing a complementary relationship with dimensions of creativity but not intelligence. Thus, syntactical and strategic distinctions between creativity and intelligence were obtained.     

The neural basis of insight problem solving: an event-related potential study

The electrophysiological correlates of successful insight problem solving (Chinese logogriphs) were studied in 18 healthy subjects using high-density event-related potentials (ERPs). A new experimental paradigm (learning-testing model) was adopted in order to make subjects find a solution on their own initiative rather than receive an answer passively. Results showed that Successful guessed logogriphs elicited a more positive ERP deflection (P200-600) than did Unsuccessful guessed logogriphs in the time window from 200 to 600 ms after onset of the stimuli. Subsequently Successful logogriphs elicited a more negative ERP deflection than did Unsuccessful logogriphs in the time windows of 1500-2000 ms (N1500-2000) and 2000-2500 ms (N2000-2500). Maps of the P200-600 showed strong activity in the midline parieto-occipital scalp regions. Dipole analysis localized the generator of P200-600 in the left superior temporal gyrus and parietotemporo-occipital cortex areas. The N1500-2000 and N2000-2500 had a distinct activation over left frontal scalp regions. Dipole analysis localized the generator of the N1500-2000 in the anterior cingulate cortex (ACC) and the N2000-2500 in the posterior cingulate cortex (PCC). This result indicates that the parietotemporo-occipital cortex areas might be involved in forming rich associations in the early stage of successful logogriph solving. Then, the ACC might play an important role in the breaking mental set and the forming of novel associations. At last, "Aha" feeling might activate the PCC.     

Goal specificity effects on hypothesis testing in problem solving

Previous research has found that having a nonspecific goal (NSG) leads to better problem solving and transfer than having a specific goal (SG). To distinguish between the various explanations of this effect requires direct evidence showing how a NSG affects a participant's behaviour. Therefore we collected verbal protocols from participants learning to control a linear system consisting of 3 outputs by manipulating 3 inputs. This system was simpler than the one we had used previously, so in Exp. 1 we generalized our earlier goal specificity findings to this system. In Exp. 2 protocol analysis confirmed our prediction (based on dual-space theories of problem solving) that NSG participants focused on hypothesis testing whereas SG participants focused on the goal. However, this difference only emerged over time. We also replicated the goal specificity effect on performance and showed that giving participants a hypothesis to test improved performance.     

A comparison of information processing and dynamical systems perspectives on problem solving

Abstract

This article compares the information processing and dynamical systems perspectives on problem solving. Key theoretical constructs of the information-processing perspective include “searching” a “problem space” by using “heuristics” that produce “incremental” changes such as reaching a “subgoal” to solve a puzzle. Key theoretical constructs of the dynamical-systems perspective include “positive attractors”, “negative attractors”, and “latent attractors” that can cause large “nonincremental” changes in the possibility of a solution through the “emergence” of new ideas and beliefs that can resolve a conflict. The proposed alignment maps dynamical-system constructs to information-processing constructs: state space to problem space, negative attractor to impasse, positive attractor to productive subgoal, latent attractor to implicit cognition, and nonincremental change to insight. The purpose of the mapping is to explore similarities and differences between these constructs. Research from cognitive and social psychology illustrates how using constructs from both perspectives is helpful. The concluding section on Future Directions recommends an agenda based on three objectives: (1) create ontologies to organise current knowledge, (2) conduct research to obtain new knowledge, and (3) provide education to inform students about this knowledge.     

The effects of position in a display upon problem solving

Sixty-four subjects, aged between 15 and 72 years were told how to carry out a problem-solving task, whose difficulty could be varied by changing the position of an index card in relation to a display and control.

The outstanding feature, particularly of the older group's performance was the repetition of the same two kinds of mistake. Their failure seemed mainly due to an inability to rid themselves of their wrong “solutions,” in spite of the constant information indicating the mistake at each position. Whilst these differences between the age groups were hot pronounced at the easiest task, they were at the most difficult.

It is suggested that: Firstly, the procedure of giving a subject the solution to a problem and observing how he reconciles his information with it, though only operating in a circumscribed area of problem-solving, is a genuine example of thinking, and, particularly where certain kinds of mistake can be predicted, it enables the experimenter to gain a more exact impression of what a subject is doing. Secondly, the manipulation of spatial contiguities lends itself to flexible and fairly precise measurement, and the principle might usefully be extended to other variables such as size, time intervals, colour, etc.     

Percolating ideas: The effects of caffeine on creative thinking and problem solving

Caffeine is the most widely consumed psychotropic drug in the world, with numerous studies documenting the effects of caffeine on people’s alertness, vigilance, mood, concentration, and attentional focus. The effects of caffeine on creative thinking, however, remain unknown. In a randomized placebo-controlled between-subject double-blind design the present study investigated the effect of moderate caffeine consumption on creative problem solving (i.e., convergent thinking) and creative idea generation (i.e., divergent thinking). We found that participants who consumed 200 mg of caffeine (approximately one 12 oz cup of coffee, n = 44), compared to those in the placebo condition (n = 44), showed significantly enhanced problem-solving abilities. Caffeine had no significant effects on creative generation or on working memory. The effects remained after controlling for participants’ caffeine expectancies, whether they believed they consumed caffeine or a placebo, and changes in mood. Possible mechanisms and future directions are discussed.     

The effects of collaborative practice on statistical problem solving: Benefits and boundaries

In recent years, understanding the effects of collaboration on learning and memory has emerged as a major topic of investigation. Findings from applied educational research and from basic cognitive research demonstrate a complex view of how collaboration affects learning. The present laboratory study bridged these two domains of research to address the question of how collaborative learning affects statistical problem solving. After viewing a lecture, participants completed two statistics tests. They either completed the tests collaboratively and then individually, or completed both tests individually. Results showed an immediate benefit of collaboration, but this benefit did not persist on a subsequent individual test. Repeated practice by those who worked individually increased performance to the level of those who had previously collaborated. These results were qualified by gender as females showed a consistent benefit from prior collaboration on the post-collaborative test, particularly on conceptual problems. Implications for education are discussed.     

Social problem solving training: A follow-up study of cognitive and behavioral effects

The long term effects of Spivack and Shures' social problem-solving training were assessed and compared to an attention-placebo control. Thirty-seven preschool age children were involved in this year's long intervention project and six month follow-up. All subjects received 46 sessions of intervention by specially trained assistants. Support was found for the cognitive effectiveness of social problem-solving training with aberrant children at post test in that they gained significantly in their ability to generate alternative solutions to interpersonal problems. This differential effect was not sustained at follow-up. Blind teacher ratings of behavioral adjustment and independent observers' ratings of behavior (using a naturalistic observation scale developed for this study) revealed no significant behavioral training effects at post test or at follow-up. Findings are discussed with the suggestion that behavior change in young children may not be mediated through a strictly cognitive intervention, and may more logically require an integration of behavioral and cognitve techniques.     

Global vs. local information processing in visual/spatial problem solving: The case of traveling salesman problem

Human visual/spatial problem solving often requires both global and local information to be processed. But the relationship between those two kinds of information and the way in which they interact with one another during problem solving has not been thoroughly discussed. In the particular setting of solving the traveling salesman problem (TSP), we investigated into the relative roles of global and local information processing. An experiment was conducted to measure the importance of global information and the possible constraints of global information processing on search. A model was built to simulate human TSP performance and was used to investigate further the relationship between global information processing and local information processing. Our model was compared with the human data we collected and with other models of human TSP solving.     

The effects of expected reward on creative problem solving

Creative problem solving involves search processes, and it is known to be hard to motivate. Reward cues have been found to enhance performance across a range of tasks, even when cues are presented subliminally, without being consciously detected. It is uncertain whether motivational processes, such as reward, can influence problem solving. We tested the effect of supraliminal and subliminal reward on participant performance on problem solving that can be solved by deliberate analysis or by insight. Forty-one participants attempted to solve 100 compound remote associate problems. At the beginning of each problem, a potential reward cue (1 or 25 cents) was displayed, either subliminally (17 ms) or supraliminally (100 ms). Participants earned the displayed reward if they solved the problem correctly. Results showed that the higher subliminal reward increased the percentage of problems solved correctly overall. Second, we explored if subliminal rewards preferentially influenced solutions that were achieved via a sudden insight (mostly processed below awareness) or via a deliberate analysis. Participants solved more problems via insight following high subliminal reward when compared with low subliminal reward, and compared with high supraliminal reward, with no corresponding effect on analytic solving. Striatal dopamine (DA) is thought to influence motivation, reinforce behavior, and facilitate cognition. We speculate that subliminal rewards activate the striatal DA system, enhancing the kinds of automatic integrative processes that lead to more creative strategies for problem solving, without increasing the selectivity of attention, which could impede insight.     

The effects of cumulative practice on mathematics problem solving

This study compared three different methods of teaching five basic algebra rules to college students. All methods used the same procedures to teach the rules and included four 50-question review sessions interspersed among the training of the individual rules. The differences among methods involved the kinds of practice provided during the four review sessions. Participants who received cumulative practice answered 50 questions covering a mix of the rules learned prior to each review session. Participants who received a simple review answered 50 questions on one previously trained rule. Participants who received extra practice answered 50 extra questions on the rule they had just learned. Tests administered after each review included new questions for applying each rule (application items) and problems that required novel combinations of the rules (problem-solving items). On the final test, the cumulative group outscored the other groups on application and problem-solving items. In addition, the cumulative group solved the problem-solving items significantly faster than the other groups. These results suggest that cumulative practice of component skills is an effective method of training problem solving.