Verbalization and problem solving: Insight and spatial factors

Two groups of participants attempted eight examples of each of four different problem types formed by combining insight versus non‐insight and verbal versus spatial factors. The groups were given different verbalization instructions viz., Silent (N = 40) or Direct Concurrent (N = 40). There were significant differences between insight and non‐insight tasks and between spatial and verbal tasks in terms of solution rates and latencies. Significant interactions between the verbal versus spatial factor and verbalization condition on solution rates and latencies reflected a greater (negative) effect of verbalizing on spatial as against verbal problems. However, no significant interactions of the insight versus non‐insight factor with verbalization condition on solution rates or latencies were found. These results favoured the ‘business as usual’ view of insight problem solving as against the ‘special process’ view which predicted larger effects of verbalization for insight problems as against non‐insight problems.     

Verbalization of discovered principles for solving match-stick problems

Abstract.— Problem solving performance of subjects who were taught part of a principle was studied under three experimental conditions, differing with respect to the amount of hints given as to the nature of the missing part of the principle, and compared with performance of suhjects who were taught the full principle. After practice, those who were taught the principle partially were asked to state the missing part of the principle, or any other general method found for solving the problems. Subjects who were taught the full principle solved most problems, while performance under experimental conditions varied with the preciseness with which the stated principle specified relevant parts of the problems to be solved. The hints failed to influence performance with respect to both problem solving and ability to state principles.     

Self-appraised social problem solving abilities, emotional reactions and actual problem solving performance

Self-report measures of social problem solving abilities have yet to be associated with objective problem solving performance in any consistent manner. In the present study, we investigated the relation of social problem solving abilities--as measured by the Social Problem Solving Skills Inventory--Revised (SPSI-R [Maydeu-Olivares, A. & D'Zurilla, T. J. (1996). A factor analytic study of the Social Problem Solving Inventory: an integration of theory and data. Cognitive Therapy and Research, 20, 115-133])--to performance on a structured problem solving task. Unlike previous studies, we examined the relation of problem solving skills to performance curves observed in repeated trials, while controlling for affective reactions to each trial. Using hierarchical modeling techniques, a negative problem orientation was significantly predictive of performance and this effect was not mediated by negative affectivity. Results are discussed as they pertain to contemporary models of social problem solving.     

Act first, think later: The presence and absence of inferential planning in problem solving

Planning is fundamental to successful problem solving, yet individuals sometimes fail to plan even one step ahead when it lies within their competence to do so. In this article, we report two experiments in which we explored variants of a ball-weighing puzzle, a problem that has only two steps, yet nonetheless yields performance consistent with a failure to plan. The results fit a computational model in which a solver’s attempts are determined by two heuristics: maximization of the apparent progress made toward the problem goal and minimization of the problem space in which attempts are sought. The effectiveness of these heuristics was determined by lookahead, defined operationally as the number of steps evaluated in a planned move. Where move outcomes cannot be visualized but must be inferred, planning is constrained to the point where some individuals apply zero lookahead, which with n-ball problems yields seemingly irrational unequal weighs. Applying general-purpose heuristics with or without lookahead accounts for a range of rational and irrational phenomena found with insight and noninsight problems.     

Analogical problem solving

The use of an analogy from a semantically distant domain to guide the problemsolving process was investigated. The representation of analogy in memory and processes involved in the use of analogies were discussed theoretically and explored in five experiments. In Experiment I oral protocols were used to examine the processes involved in solving a problem by analogy. In all experiments subjects who first read a story about a military problem and its solution tended to generate analogous solutions to a medical problem (Duncker's “radiation problem”), provided they were given a hint to use the story to help solve the problem. Transfer frequency was reduced when the problem presented in the military story was substantially disanalogous to the radiation problem, even though the solution illustrated in the story corresponded to an effective radiation solution (Experiment II). Subjects in Experiment III tended to generate analogous solutions to the radiation problem after providing their own solutions to the military problem. Subjects were able to retrieve the story from memory and use it to generate an analogous solution, even when the critical story had been memorized in the context of two distractor stories (Experiment IV). However, when no hint to consider the story was given, frequency of analogous solutions decreased markedly. This decrease in transfer occurred when the story analogy was presented in a recall task along with distractor stories (Experiment IV), when it was presented alone, and when it was presented in between two attempts to solve the problem (Experiment V). Component processes and strategic variations in analogical problem solving were discussed. Issues related to noticing analogies and accessing them in memory were also examined, as was the relationship of analogical reasoning to other cognitive tasks.     

Achievement motivation and problem solving

Abstract.— The relationships between achievement motivation and problem solving were discussed. It was suggested that problem solving may be differentially related to achievement motivation in high and low ability groups. In a group of 46 male students, scoring high on a test of intellectual flexibility, a positive relationship was found between a projective measure of fear of failure and solution of the Hatrack Problem. In a group of 49 male subjects with low flexibility scores, fear of failure was negatively related to problem solving. The results were taken to indicate that the ability measure represented general self confidence and expectancy. Thus subjects with high self confidence might attempt to avoid failure by trying hard to succeed, while a more probable strategy for subjects with low expectancy would be to exert little effort. A test of this hypothesis was made by analyzing a measure of overt activity in the Hatrack situation across high/low motivational and ability groups. Whereas in the high ability group subjects with high fear of failure showed a high level of activity, high fear of failure subjects in the low ability group showed a low level of activity, thus supporting the hypothesis.     

Pupil size and problem solving

Pupil size changes were monitored during the solution of various types of problems. A number of solution and response strategies were required of the subject. There was strong confirmation of the theory that this autonomic index can provide a sensitive measure of the fluctuating levels of attention and arousal, which are associated with the various aspects of information processing and response.     

Interactive insight problem solving

Insight problem solving was investigated with the matchstick algebra problems developed by Knoblich, Ohlsson, Haider, and Rhenius (1999 Knoblich, G., Ohlsson, S., Haider, H. and Rhenius, D. 1999. Constraint relaxation and chunk decomposition in insight problem solving. Journal of Experimental Psychology: Learning, Memory and Cognition, 25: 1534–1555. [Crossref], [Web of Science ®] , [Google Scholar]). These problems are false equations expressed with Roman numerals that can be made true bymoving one matchstick. In a first group participants examined a static two-dimensional representation of the false algebraic expression and told the experimenter which matchstick should be moved. In a second group, participants interacted with a three-dimensional representation of the false equation. Success rates in the static group for different problem types replicated the pattern of data reported in Knoblich et al. (1999 Knoblich, G., Ohlsson, S., Haider, H. and Rhenius, D. 1999. Constraint relaxation and chunk decomposition in insight problem solving. Journal of Experimental Psychology: Learning, Memory and Cognition, 25: 1534–1555. [Crossref], [Web of Science ®] , [Google Scholar]). However, participants in the interactive group were significantly more likely to achieve insight. Problem-solving success in the static group was best predicted by performance on a test of numeracy, whereas in the interactive group it was best predicted by performance on a test of visuo-spatial reasoning. Implications for process models of problem solving are discussed.     

Giving up problem solving

How do people decide to abandon a problem? Participants were presented with unsolvable water jar problems, having been accurately informed of the prior probability of solvability. Across three experiments, we discovered effects of prior probability of solvability and of problem size (number of distinct problem states) on measures of effort and confidence. If a problem is more likely to be solvable and allows more problem states, a problem solver spends longer trying to solve the problem. Giving-up decisions are informed by the same judgments of probability of success and costs of solution that inform move-choice in a rational model of problem solving.     

Effects of experimenter and mother presence on the attentional performance and activity of hyperactive boys

The attentional performance, activity, and off-task behavior of hyperactive boys with and without conduct problems and normal boys were compared on a cancellation task under three conditions: when performing the task alone, with mother present, and with experimenter present. Results indicated that both the hyperactive groups achieved poorer attentional scores than normal subjects in the alone and mother present conditions, but improved in the experimenter present condition. The performance of the hyperactive boys with conduct problems was particularly affected by this condition. The activity and off-task behavior scores of both the hyperactive groups were higher than controls in all conditions, although the hyperactive boys with conduct problems decreased in off-task behavior when the experimenter was present. Attention and behavior scores were not significantly correlated. The implications of these findings for assessment of hyperactivity, and the role of noncompliance in the attentional behavior of hyperactive children, are discussed.This study is based in part on the first author's Ph.D. thesis in the Department of Psychology, University of Melbourne.