Spatial problem solving by rats: Exploration and cognitive maps

Two experiments were performed in an attempt to examine the contribution of the exploratory experience to performance on Maier's 3-table spatial problem-solving task. In the first experiment, the runway configurations were altered between exploration and testing. It was found that following an initial impairment animals exposed to the altered runway configurations could perform as well as animals not confronted with an altered runway configuration on the test trial. In the second experiment, animals were allowed to explore only elements of the problem space. Exploration of either the runways only or the tables only led to unsuccessful performance on the 3-table task. The results of both experiments were related to current theory of cognitive mapping.     

Spatial problem solving and functional relations

Three experiments investigated the role of object knowledge on participants' ability to solve a spatial arrangement problem. The task was to rearrange six real-world three-dimensional objects so that their relative locations agreed with a given set of rules. The aim of the experiments was to tease out the relative extent to which object association, orientation, and object-specific functional relations affect performance on arrangement tasks. When the problem was presented vertically (objects arranged in piles), participants solved functional canonical versions of the problem significantly quicker than functional non-canonical versions both between (Experiments 1a and 2), and within subjects (Experiment 3). When the arrangement problem was presented horizontally (objects arranged flat in two rows), no significant differences in solution times were found between conditions (Experiments 1b and 2). Overall the results provide evidence for the importance of object-specific functional relations as a predictor of the solution time of spatial arrangement problems, although some differences were noted between single and multiple presentation of problems when specific rules within problems were rotated. The importance of functional information in memory as a constraint on the building of mental models and problem spaces is discussed.     

Spatial visualization in physics problem solving

Three studies were conducted to examine the relation of spatial visualization to solving kinematics problems that involved either predicting the two-dimensional motion of an object, translating from one frame of reference to another, or interpreting kinematics graphs. In Study 1, 60 physics-naíve students were administered kinematics problems and spatial visualization ability tests. In Study 2, 17 (8 high- and 9 low-spatial ability) additional students completed think-aloud protocols while they solved the kinematics problems. In Study 3, the eye movements of fifteen (9 high- and 6 low-spatial ability) students were recorded while the students solved kinematics problems. In contrast to high-spatial students, most low-spatial students did not combine two motion vectors, were unable to switch frames of reference, and tended to interpret graphs literally. The results of the study suggest an important relationship between spatial visualization ability and solving kinematics problems with multiple spatial parameters.     

Perseverance in solving Sudoku: role of grit and cognitive flexibility in problem solving

Problem solving is a higher order cognitive capacity with implications for everyday functioning. Although Grit predicts academic outcomes, the relation between facets of Grit, Consistency and Perseverance, and problem solving remain unknown. We report the results of two studies conducted to examine the impact of facets of grit on problem solving within the context of solving Sudoku puzzles. In Study 1, Grit-Perseverance predicted performance on the hard versus easy puzzle. In Study 2, we increased the difficulty level of the puzzles and assessed cognitive flexibility using the Wisconsin Card Sort Test. Grit-Perseverance was associated with effort on both the hard and very hard puzzles. Further, mediation analyses revealed that Grit-Perseverance indirectly predicted increased effort on the very hard puzzle through decreased cognitive flexibility. Overall our results demonstrate that Grit-Perseverance, not Consistency, impacts problem solving and highly gritty individuals may be most successful in solving challenging problems that are moderately constrained.     

Insight problems revisited: The influence of cognitive styles and experience on creative problem solving

The joint influence of cognitive style and prior experience on creative problem solving was examined using the Two‐String and the Hatrack insight problems. The study involved 44 male and 43 female Norwegian students aged 17 to 21 years. In three out of four cases the results supported the hypothesis that there is a joint effect between assimilative and explorative strategy preferences and degree of experience in their influence on performance. Explorers mainly performed better when prior experience was low (high task novelty) and assimilators mainly performed better when prior experience was high (low novelty). However, this pattern was reversed for females on the Hatrack problem. There was also a significant curvilinear relationship between experience and the composite problem‐solving score. Implications for theories on the role of experience in creative problem solving as well as limitations of this study are discussed.     

Task characteristics and performance in interpersonal cognitive problem solving

The authors examined the extent to which performance on interpersonal cognitive problem-solving (ICPS) tasks is affected by whether the goals within the dilemmas to be addressed are sex typed. Fifty children, aged 7-8 years old, were tested for the core ICPS skills of Alternative Solutions Thinking (AST) and Consequential Thinking (CT) on a series of 8 social problem-solving tasks, 4 having goals characteristically more attractive to boys and 4 with goals more attractive to girls. A 2 x 2 MANOVA was used to compare the performances of boys and girls on each set of sex-typed tasks with the 3 dependent variables of liking for the tasks, number of alternative solutions suggested, and the number of consequences anticipated. As expected, liking for the tasks was higher if the activities were characteristically associated with the participant's own gender (p < .001), although the different tasks did not produce any significant gender differences in the numbers of AST or CT suggestions they prompted. Gender differences in children's peer relationships were considered, and the implications of these results for the format of ICPS interventions are noted.     

The effect of conscious controlled verbalization cognitive strategy on transfer in problem solving

The effect of controlled verbalization on learning to solve complex problems was investigated. Fifty participants individually solved the six-disk Tower of Hanoi problem as a criterion task, following one of the five treatments represented in a 2 × 2 factorial design with an appended control group. One factor was the presence or absence of a practice series which required participants to provide verbal rationales for their moves. The other was the presence or absence of verbalization on the six-disk criterion task. The control participants performed the practice tasks and the criterion task without verbalization. Although practice tended to be more effective than no practice for improving performance, its strongest effect occurred when it was coupled with controlled verbalization. Controlled verbalization during the criterion task facilitated performance, but only for subjects who received no prior practice. It was concluded that verbalization was most helpful during the initial flexible stages of learning to solve problems before the skill had become organized. The discussion indicated that performance is facilitated by the quality and timing of the use of verbalizations rather than by the mere activity of verbalizing.     

The learned interpretation of cognitive fluency

The fluency of cognitive processes influences many judgments: Fluently processed statements are judged to be true, fluently processed instances are judged to be frequent, and fluently processed names are judged to be famous. According to a cue-learning approach, these effects of experienced fluency arise because the fluency cue is interpreted differentially in accordance with its learned validity. Two experiments tested this account by manipulating the fluency cue's validity. Fluency was manipulated by color contrast (Experiment 1) and by required mental rotation (Experiment 2). If low fluency was correlated with a required affirmative or "old" response (and high fluency with a negative or "new" response) in a training phase, participants showed a reversal of the classic pattern in the recognition phase: Low-fluency stimuli had a higher probability than high-fluency stimuli to be classified as old. Thus, the interpretation and therefore the impact of fluency depended on the cue's learned validity.     

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.     

Involvement and outcomes in short-term interpersonal cognitive problem solving groups

This study examined the extent to which patterns of involvement in interpersonal cognitive problem solving (ICPS) groups were predictive of improvements in ICPS skills. Thirty-one 7–8-year-old children were assigned to experimental or control groups. Participants in the experimental group participated in six sessions of ICPS group work. All participants were tested for the ICPS skills of alternative solutions thinking (AST) and consequential thinking (CT) immediately before and after the group work period. As predicted, the experimental group showed significantly greater improvements in AST and CT skills than the control group. Means-end thinking was significantly correlated with improvements in AST and CT, level of involvement and positive behaviour within the groups were predictive of improvements in AST but not CT. Findings indicated the importance of group dynamics for ICPS outcomes and are discussed in relation to their theoretical and practical implications.     

Relationship of arithmetic problem solving and reflective-impulsive cognitive styles in third-grade students

Different individuals approach mathematical problems in a variety of ways, with these different approaches also reflected in over-all cognitive styles. This investigation had two purposes, first, to determine whether good and poor arithmetic problem solvers differ substantially in cognitive style, and second, to determine whether the students, after training in techniques of solving arithmetic problems, improve their performance with no significant change in cognitive style. A total of 98 third graders participated (mean age 8.1 yr.; 50 boys, 48 girls). The Matching Familiar Figure Test was used to classify the students by cognitive style as either Reflective or Impulsive. Students also were given training with different problem-solving exercises for different arithmetic problems. The training program in problem-solving strategies did not improve performance on arithmetic problems for Reflective students; however, Impulsive students' performance did improve after training.     

An integration of process and decision scheme explanations of group problem solving performance

This article develops a model of group problem solving in which performance is a function of group resources and strategies for their use. Resources are defined as the joint task knowledge of a group's two most expert members. Decision scheme is essentially defined as the degree of influence of these two experts and is shown, for certain composition conditions, to be related to group process, specifically, effective conflict management. Similarities between the model and other social influence theories are examined, and implications for organizational problem solving are explored. The task is the “Moon Survival” problem, and the subjects are 102 managers and graduate management students, working in 21 groups.     

Beyond subgoaling: A dynamic knowledge generation framework for creative problem solving in cognitive architectures

In this paper we propose a computational framework aimed at extending the problem solving capabilities of cognitive artificial agents through the introduction of a novel, goal-directed, dynamic knowledge generation mechanism obtained via a non monotonic reasoning procedure. In particular, the proposed framework relies on the assumption that certain classes of problems cannot be solved by simply learning or injecting new external knowledge in the declarative memory of a cognitive artificial agent but, on the other hand, require a mechanism for the automatic and creative re-framing, or re-formulation, of the available knowledge. We show how such mechanism can be obtained trough a framework of dynamic knowledge generation that is able to tackle the problem of commonsense concept combination. In addition, we show how such a framework can be employed in the field of cognitive architectures in order to overcome situations like the impasse in SOAR by extending the possible options of its subgoaling procedures.     

知识经验与顿悟：来自认知神经科学的证据

知识经验对于顿悟问题解决是一把双刃剑,强势知识会阻碍顿悟问题解决,弱势知识才是顿悟问题解决的关键。强势知识引导的组块效应、约束效应和固着效应等心理定势现象,“帮助”问题解决者以惯用方案来理解、思考和解决问题。之所以会这样,可能是因为大脑内存在一套具有优先级差的层级加工系统,赋予惯用方案的优先级最高。不过,惯用方案不仅不能够解决顿悟问题,而且还会通过注意竞争和注意失灵方式来阻碍新异方案的探索和执行,所以,问题解决者往往都会进入思维僵局。僵局的打破和顿悟的实现,需要抑制住强势知识及其相关的惯用方案、激活弱势知识和新异方案,这违反了大脑的认知加工惯性,是很难以自发发生的。但是,可以通过激活扩散来增强弱势知识的激活水平,或者是拓宽注意范围、提高注意灵活性来增加弱势知识激活的可能性,从而促进顿悟问题解决。     

The functional equivalence of problem solving skills

The tower of Hanoi problem is used to show that, even in simple problem environments, numerous distinct solution strategies are available, and different subjects may learn different strategies. Four major classes of solution strategies are described for the problem. Different strategies have different degrees of transferability, place different burdens on short-term memory and on perception, and require different learning processes for their acquisition. The analysis underscores the importance of subject-by-subject analysis of “what is learned” in understanding human behavior in problem-solving situations, and provides a technique for describing subjects' task performance programs in detail.     

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.     

The effect of problem size on representation in deductive problem solving

Adult Ss attempted to solve logical deductive reasoning problems that varied systematically in amount of information presented. Methods Ss employed in representing the problem were classified into five main types or modes. The proportion of Ss using a matrix mode of problem representation increased moderately with problems containing large amounts of information. The performance of Ss using a matrix mode of representation suggested that this advantage is related to ease of applying and/or storing the results of logical operations in such a problem space rather than to any facilitative effects of encoding processes. Specific limits to normal processing are hypothesized.