Constraints on access in a problem solving context

The effects of previously acquired information on a later problem solving task were explored. Prior research has shown that the acquisition of potentially relevant information is not effective for cuing solutions in a later problem solving task unless subjects are informed of the connection. The present research extends these results and demonstrates that the problem solving failure is not due to subjects’ rejecting the potentially relevant information following retrieval. Rather, the apparent failure to appropriately use previous information is a result of uninformed subjects’ inability to spontaneously access such information. Furthermore, the observed access failure is not reversible by simply informing the subjects of the task connection prior to a second trial. Finally, the results indicate that problem solving failure on a later informed trial is a problem-specific phenomenon that does not generalize to new problems. The implications for contemporary episodic memory paradigms and the role of access in learning theory are discussed.     

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.     

Integration of information during problem solving due to a meaningful context of learning

Ninety-seven subjects memorized nine associations among six interlocking elements that were presented as links among nonsense letters, connections among spies with word code names (after Hayes, 1966), or airline flights among major US cities. On tests of problem solving and true-false judgments, the letters group and the words group performed nearly identically; however, relative to these two groups, the cities group performed worse or about the same on short recall problems and much better on longer problems requiring chunking of learned information. The conditions and effects of a meaningful learning context for problem solving were discussed.     

Transfer effects in isomorphic problem situations

The results of a recent experiment to assess the relationship between human problem solving behaviour and the structural properties of certain problems are presented. The results suggest that human performance in a problem-solving task is significantly influenced by immediately prior experience on a different but structurally identical problem. Specifically, transfer effects are demonstrated across two problems of isomorphic structure.     

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.     

The effects of a short-term social problem solving programme with children

This study examined the effectiveness of a short-term training programme for improving children's interpersonal cognitive problem solving ability and social status. Subjects were twenty primary school children aged seven-to eight-years old. Children in the training condition participated in a four week programme aimed at improving their ability to think of alternative strategies to problematic social situations and recognize the consequences of interpersonal actions. Children in the intervention condition showed significant improvements in their levels of alternative solutions thinking (p <0.005) and consequential thinking (p < 0.05) but not sociometric status (p > 0.05).     

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.     

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.     

Control mechanisms in problem solving

Hypothesis-testing theories and information processing theories have both been used to explain the results of problem solving experiments. The theories have, in general, been applied to different classes of problems, resulting in little overlap or interaction between them. Information processing theories have tended to emphasize problems in which the problem solver’s primary source of information concerning the correctness of his moves is the problem goal and, as a result, the goal plays a major role in the control mechanisms determining moves. Hypothesis theories have emphasized problems in which direct feedback is the primary control mechanism available. It is suggested that altering a problem solver’s major source of information from a goal to feedback or vice versa will have important implications for the course of problem solving and what is learned during the solution process. Specifically, changes in the information feedback and/or goal-specificity characteristics of a problem should, in a predictable fashion, alter problem solving strategies, which should, in tum, through the presence or absence of information compression devices such as rule induction, strongly affect transfer. Experiments using the Tower of Hanoi and visual maze-tracing problems indicated that altering the density of subgoals resulted in alterations in subsequent transfer performance.     

Apperception in primed problem solving

Mental representation is a central theoretical concept in modern cognitive psychology. However, its investigation has been predominantly based on inapt perceptualist concepts, which presume that information contents in them, i.e., mental contents, solely arise from stimulus. This is in spite of the evidence that much in human thought does not have any sensory equivalence. Consequently, we make a difference between perception and apperception, as e.g., Kant and Wundt did, and argue in favor of a detailed analysis of this mental process that is responsible for the construction of representations. We present here five primed problem solving experiments. The basic idea was to demonstrate that depending on priming information people represent perceptually identical stimuli very differently, i.e., they ascribe different uses and meanings to objects and they integrate them differently to compose distinct solutions. In this vein, we demonstrate that people regularly rely on information, which is not or cannot be perceived in principle. On the ground of our empirical findings, we resurrect the issue on why the difference between perception and apperception is theoretically adequate and introduce some central concepts for the theoretical analysis of apperception such as "seeing as" and functional binding.     

Schema induction in problem solving: a multidimensional analysis

The present research examined the processes of schema formation in problem solving. In 4 experiments, participants experienced a series of tasks analogous to A. S. Luchins' (1942) water jar problems before attempting to solve isomorphic target problems. Juxtaposing illustrative source instances varying in procedural features along multiple dimensions promoted the construction of a general schema that facilitated solving an isomorphic problem requiring a novel procedure. Exposure to less variant problems led to faster initial learning, but narrower and fixed schemas (mental set), whereas exposure to variant procedures led to slower initial learning, but broader and more flexible schemas. The findings support the dimensional specificity hypothesis: Generalization along 1 dimension facilitates transfer to a target problem differing from the source problems in that dimension.     

Decomposing intuitive components in a conceptual problem solving task

Research into intuitive problem solving has shown that objective closeness of participants' hypotheses were closer to the accurate solution than their subjective ratings of closeness. After separating conceptually intuitive problem solving from the solutions of rational incremental tasks and of sudden insight tasks, we replicated this finding by using more precise measures in a conceptual problem-solving task. In a second study, we distinguished performance level, processing style, implicit knowledge and subjective feeling of closeness to the solution within the problem-solving task and examined the relationships of these different components with measures of intelligence and personality. Verbal intelligence correlated with performance level in problem solving, but not with processing style and implicit knowledge. Faith in intuition, openness to experience, and conscientiousness correlated with processing style, but not with implicit knowledge. These findings suggest that one needs to decompose processing style and intuitive components in problem solving to make predictions on effects of intelligence and personality measures.     

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.