An investigation of the relationships between problem solving strategies, representation and memory

There has been considerable debate in recent years about the status of “imagery” in problem solving. The present experiment attempts to show that while subjects may employ representational strategies when they first encounter a class of problems, they abandon such strategies as they gain experience with the problems. It does this by asking subjects to answer unexpected questions which are based upon the information which they have just used to solve a problem. The hypothesis, which is supported by the results, is that increasing experience with problems will be paralleled by a decreasing ability to answer unexpected questions. The experiment also shows that such effects are not attributable to a build-up in proactive interference.     

Strategic use of familiarity in display-based problem solving

The authors report 4 experiments that investigated the role of recognition memory and plausibility in a display-based problem-solving task (computer menu search). It was found that both the familiarity of options and their plausibility played a role in determining choices when the correct options could not be recollected. The use of familiarity was adaptive: Participants relied less on familiarity when it was a less valid guide to correct choices. The implications of these findings for theories of problem solving and learning are discussed.     

The use of diagrams in analogical problem solving

In four experiments, we examined the impact of perceptual properties on the effectiveness of diagrams in analogical problem solving, using variants of convergence diagrams as source analogues for the radiation problem. Static diagrams representing the initial problematic state (one large line directed at a target) and the final state for a convergence solution (multiple converging lines) were not accessed spontaneously but were often used successfully once a hint to consider the diagram had been provided. The inaccessibility of static diagrams was not alleviated by adding additional diagrams to represent intermediate states (Experiment 1), but spontaneous access was improved by augmenting static diagrams with a verbal statement of the convergence principle (Experiment 3). Spontaneous retrieval and noticing were increased markedly by animating displays representing converging forces and thereby encouraging encoding of the lines as indicating motion toward a target (Experiments 3 and 4). However, neither static nor animated diagrams were effective when the arrows were reversed to imply divergence rather than convergence (Experiment 2). The results indicate that when animation encourages the interpretation of a diagram as a helpful source analogue, it can greatly enhance analogical transfer.     

Social problem solving and strategy use in young children

In the present study, the authors investigated what prosocial-assertive, passive, and coercive strategies 6-year-olds (N=257) would propose in response to stories about 2 socially challenging situations: displacing another child in a game and obtaining a toy from another child. The scenarios also varied the gender composition of the characters. Participants' verbalizations while acting out their responses using toy props fell into 13 categories of strategies. Teachers reported antisocial behavior and social competence of the participants. Girls and boys responded similarly in their general suggestions of prosocial or assertive strategies, but girls were more likely to offer prosocial strategies with other girls than with boys. Teacher-rated competence and antisocial behavior interacted in predicting coercive responses by girls but not by boys. The results demonstrate that prosocial and antisocial behaviors need to be considered in interaction to fully understand the nature of social competence.     

An eye movement study of insight problem solving

The representational change theory of insight claims that insight problems cause impasses because they mislead problem solvers into constructing inappropriate initial representations. Insight is attained when the initial representation is changed. In the present study (N = 24), we tested three specific implications of these hypotheses against eye movements recorded while participants solved matchstick arithmetic problems. The results were consistent with the predictions, providing converging evidence with prior findings using solution rates and solution times. Alternative theories of insight can explain individual findings, but only the representational change theory accounts for both the performance data and the eye movement data. The present study also suggests that eye movement recordings provide an important new window into processes of insight problem solving.     

Last night I had the strangest dream: Varieties of rational thought processes in dream reports

From the neurophysiological perspective, thinking in dreaming and the quality of dream thought have been considered hallucinatory, bizarre, illogical, improbable, or even impossible. This empirical phenomenological research concentrates on testing whether dream thought can be defined as rational in the sense of an intervening mental process between sensory perception and the creation of meaning, leading to a conclusion or to taking action. From 10 individual dream journals of male participants aged 22–59 years and female participants aged 25–49 years, we delimited four dreams per journal and randomly selected five thought units from each dream for scoring. The units provided a base for testing a hypothesis that the thought processes of dream construction are rational. The results support the hypothesis and demonstrate that eight fundamental rational thought processes can be applied to the dreaming process.     

The strategic use of alternative representations in arithmetic word problem solving

Multiple-step arithmetic problems can be solved by diverse strategies depending on the mental representation constructed by individuals from the situation described in the text of the problem. This representation will indeed determine the organization of subgoals to be reached or in other words the order of completion of calculations. This study aims at determining the conditions under which specific strategies are set up by adults. Using a paradigm that allows us to assess when calculations are performed, we show that adults usually organize their subgoals as they are explicitly mentioned in the problem, even though a strategy that is less demanding on working memory could have been used. However, we show that increasing the difficulty of the problem leads individuals to set up more economic strategies. Moreover, these economic strategies are even more likely to be used when the cognitive cost of the construction of the representation they rely on is low.     

An investigation of the sampling distributions of item discrimination indices

The sampling properties of four item discrimination indices (biserialr, Cook's indexB, theU–L 27 per cent index, and DeltaP) were investigated in order to ascertain their sampling properties when small samples drawn from actual test data rather than constructed data were employed. The empirical results indicated that the mean index values approximated the population values and that values of the standard deviations computed from large sample formulas were good approximations to the standard deviations of the observed distributions based on samples of size 120 or less. Goodness of fit tests comparing the observed distributions with the corresponding distribution of the product-moment correlation coefficient based upon a bivariate normal population indicated that this correlational model was inappropriate for the data. The lack of adequate mathematical models for the sampling distributions of item discrimination indices suggests that one should avoid indices whose only real reason for existence was the simplification of computational procedures.This research reported herein was performed pursuant to a contract (OE-2-10-071) with the United States Office of Education, Department of Health, Education and Welfare.     

Contraries as an effective strategy in geometrical problem solving

A focused review of the literature on reasoning suggests that mechanisms based upon contraries are of fundamental importance in various abilities. At the same time, the importance of contraries in the human perceptual experience of space has been recently demonstrated in experimental studies. Solving geometry problems represents an interesting case as both reasoning abilities and the manipulation of perceptual–figural aspects are involved.

In this study we focus on perceptual changes in geometrical problem solving processes in order to understand whether a mental manipulation in terms of opposites might help. Four conditions were studied, two of which concerned the search for contraries as an implicit or explicit strategy.

Results demonstrated that contraries, when used explicitly in solution processes, constitute an effective heuristic: The number of correct solutions increased, less time was needed to find a solution and participants were oriented towards the use of perception-based solutions—not only were perceptual solutions more frequent, but also, more specifically, the number of correct perceptual solutions increased. These last results concerning perception-based solutions were found both when participants were advised about the usefulness of the strategy and when they were not advised. Differences concerning which aspects of a problem were focused on during the solution process also emerged.     

Problem finding,problem solving,and cognitive controls: An empirical investigation of critically acclaimed productivity

In an exploration of the relationship among problem finding, problem solving, and cognitive controls, 80 adult male subjects were studied in four groups based on their domain of expertise (art or science) and their professional productivity (critically acclaimed professional producer or professionally competent). A MANOVA, followed by post hoc analyses of covariance, revealed that the critically acclaimed professional producers in art and in science differed from the professionally competent artists and scientists. The critically acclaimed professional producers devoted a larger proportion of their total response time to finding a problem in a decontextualized task and utilized a larger proportion of abstract functions on a sorting task. Chi‐square tests of homogeneity revealed group differences with respect to the types of constructions created on a problem‐finding task, the strategy used in a spatial‐visualization task, and the responses regarding attitude toward taking chances. Educational implications were drawn based on a model of problem situations involving problem formulation, method formulation, solution formulation, and the relationships among the differentiating variables.     

Evaluating family therapy: a comparison of the Milan and problem solving approaches

This paper describes a study comparing the Milan approach with problem solving family therapy. Twenty families were assigned to one of the treatments and data were collected assessing symptomatic (first order) and systemic (second order) changes. The results showed that families in both treatment groups achieved favourable changes in their presenting symptoms. Those families receiving the Milan approach showed a statistically significant improvement in second order changes compared with the problem solving group. Issues relating to treatment outcome, first and second order changes and methodology are presented.     

An investigation of the diagnostic processing of contradictory information

In three parallel experiments, subjects rated their impressions of hypothetical 20-year-old males described by means of single or combined personality trait adjectives on 36 bipolar (Semantic Differential) scales. These ratings were a) intercorrelated across the scales (Q-technique) and factor analyzed separately for each subject, and b) submitted to an analysis of variance separately for each scale. It was shown that 1) when contradictory adjectives were combined the major portion of the variance of judgments fell on dimensions independent of that which characterized the contradiction; 2) there were substantial inter-individual consistencies in the direction of the deviation from that dimension; and 3) the utility of a linear model for the prediction of judgments of combined adjectives increases with increases in the extent to which the subject experiences the combination as consistent. However, the utility of the linear model decreases considerably and consistently if the combined adjectives are experienced as non-consistent.     

Mother-blaming in family therapy: An empirical investigation

Abstract

This study tested two hypotheses derived from the feminist critique of family therapy in a sample of AAMFT members. The stimulus was a brief vignette of an initial therapy session with a family presenting a teen-aged child as the identified patient. It was hypothesized that family therapists would rate the mothers in the vignette as more dysfunctional than fathers. It was also hypothesized that mothers would be asked to bear more of the burden of change in treatment plans written by subjects. Neither hypothesis was supported. However, respondents did rate the concerned parent, regardless of sex, as more dysfunctional. Since this is a role often occupied by women, this finding may indicate some gender bias.