Reducing cognitive complexity in a hypothetico-deductive reasoning task

The confusion/non-consequential thinking explanation proposed by Newstead, Girotto, and Legrenzi (1995) for poor performance on Wason's THOG problem (a hypothetico-deductive reasoning task) was examined in three experiments with 300 participants. In general, as the cognitive complexity of the problem and the possibility of non-consequential thinking were reduced, correct performance increased. Significant but weak facilitation (33-40% correct) was found in Experiment 1 for THOG classification instructions that did not include the indeterminate response option. Substantial facilitation (up to 75% correct) was obtained in Experiment 2 with O'Brien et al.'s (1990) one-other-THOG classification instruction. In Experiment 3, a revised version of O'Brien et al.'s pre-test problem format also led to substantial facilitation, even with the use of the standard three-choice THOG classification instruction. These findings are discussed in terms of Newstead et al.'s theoretical proposal and possible attentional factors.     

Facilitation in the abstract selection task: The effects of attentional and instructional factors

The present study examined performance on Wason's four-card abstract selection task. Baseline performance is very poor, usually less than 10% correct; and this task has a long record of resistance to facilitation. It was hypothesized that the two primary sources of difficulty are selective encoding of the problem information and the lack of satisfactory analytic processing. Three experiments were conducted to test this hypothesis. In Experiment 1, performance was improved by explicating the implication rule. The majority of subjects, however, still failed to make the correct selection. Subjects were required in Experiment 2 to provide reasons for their selection or non-selection of each of the cards. This response procedure, paired with an explicated rule, led to further improvements in performance (over 50% correct selections). In Experiment 3, the influence of the type of selection instruction (true-false vs. violation) was examined. Paired with an explicated rule and the reasons response format, violation instructions led to one of the highest correct selection rates ever observed for any version of the selection task: over 80% correct. Because of the importance of this result, it was replicated twice. The results of these three experiments are discussed in terms of Johnson-Laird and Byrne's mental models theory and Evans's two-stage model of reasoning.     

Mental representation and hypothetico-deductive reasoning: The case of the THOG problem

Summary This article reports three experiments that deal with the source of the difficulty of Wason's (1977) THOG problem. The solution of this problem demands both the postulation of hypotheses and a combinatorial analysis of their consequences. Experiment 1 showed that the generation of the hypotheses is not in itself sufficient to solve the problem. Experiment 2 showed that a version presenting a plausible context for separating the level of data from that of hypotheses produced a better performance than both the original abstract version and a thematic version lacking the plausible context separating the levels. Experiment 3 gave evidence that this context can produce facilitation even with the geometric material of the classic version. This experiment also showed that a pictorial presentation of data and a verbal presentation of hypotheses affect performance negatively. The results demonstrate the role of problem representation in problem solving, and, in particular, the role of homogeneity in representing data and hypotheses in hypothetico-deductive reasoning.     

Permission schemas and the selection task

Cheng and Holyoak's abstract permission schema version of Wason's selection task and the standard abstract version of the task were examined in two experiments, each a factorial design with type of problem (permission vs. standard), presence or absence of a checking context, explicit or implicit negatives on the not-p and not-q cards, and presence or absence of a rule clarification statement as factors. The original permission problem violation-type instruction was employed in Experiment 1, and Margolis's not-p and not-q violation instruction (Griggs & Jackson, 1990) was used in Experiment 2. Subjects were 640 university undergraduates, with each subject solving only one problem. The major findings for permission tasks were: (1) facilitation for the abstract permission version was replicated but found to be dependent upon the presence of explicit negatives on the not-p and not-q cards; and (2) this facilitation was enhanced by the Margolis not-p and not-q instruction. Per Girotto, Mazzocco, and Cherubini (1992), these findings and the observed error patterns are consistent with pragmatic schema theory. The major findings for the standard version of the task were: (1) none of the factors significantly impacted proportion correct [performance was poor, ≦10% correct in 15 of 16 conditions] and (2) the number of not-p & not-q incorrect selections was increased significantly for the not-p and not-q instruction. These results are discussed in terms of Manktelow and Over's argument that the standard abstract task and the permission schema version are actually different problems.     

De-confusing the THOG problem: the Pythagorean solution.

Sources of facilitation for Needham and Amado's (1995) Pythagoras version of Wason's THOG problem were systematically examined in three experiments with 174 participants. Although both the narrative structure and figural notation used in the Pythagoras problem independently led to significant facilitation (40-50% correct), pairing hypothesis generation with either factor or pairing the two factors together was found to be necessary to obtain substantial facilitation (> 50% correct). Needham and Amado's original finding for the complete Pythagoras problem was also replicated. These results are discussed in terms of the "confusion theory" explanation for performance on the standard THOG problem. The possible role of labelling as a de-confusing factor in other versions of the THOG problem and the implications of the present findings for human reasoning are also considered.     

Facilitation and transfer with narrative thematic versions of the THOG task

This article reports two experiments investigating the use of narrative form in the presentation of thematic versions of Wason's (1977) THOG problem. Experiment 1 demonstrated that narrative thematic versions that use actions of characters to present the elements of the problem are easier to solve than the classic version. This result was found both for a problem that used thematic examples and for a problem that used the same geometric figures as the classic THOG. Results also suggested that the presence of a character who creates the comparison properties to be used in applying the disjunction rule was useful in separating those properties from the properties of the positive example. Experiment 2 demonstrated that the solution of a narrative thematic version of the THOG could lead to improved performance on the classic abstract THOG, but only when the examples in the narrative version were the geometric figures. Issues of transfer with the THOG problem are discussed.     

Unpriming: the deactivation of thoughts through expression

Unpriming is a decrease in the influence of primed knowledge following a behavior expressing that knowledge. The authors investigated strategies for unpriming the knowledge of an answer that is activated when people are asked to consider a simple question. Experiment 1 found that prior correct answering eliminated the bias people normally show toward correct responding when asked to answer yes-no questions randomly. Experiment 2 revealed that prior answering intended to be random did not unprime knowledge on subsequent attempts to answer randomly. Experiment 3 found that exposure to the correct answer did not influence the knowledge bias but that exposure to the incorrect answer increased bias. Experiment 4 revealed that merely expressing the answer for oneself was sufficient to unprime knowledge. Experiment 5 found that each item of activated knowledge needs to be unprimed specifically, in that correctly answering 1 question does not reduce the knowledge bias in randomly answering another.     

Verification of multiplication facts: an investigation using retrospective protocols

Retrospective verbal protocols collected throughout participants' performance of a multiplication verification task (e.g., "7 x 3 = 28, true or false?") documented a number of different strategies and changes in strategy use across different problem categories used for this common experimental task. Correct answer retrieval and comparison to the candidate answer was the modal but not the only strategy reported. Experiment 1 results supported the use of a calculation algorithm on some trials and the use of the difference between the candidate and correct answers (i.e., split) on others. Experiment 2 clearly demonstrated that participants sometimes bypassed retrieval by relying on the split information. Implications for mental arithmetic theories and the general efficacy of retrospective protocols are discussed.     

Elementary, my dear Wason: The role of problem representation in the THOG task

The present study was concerned with Wason's THOG problem, a hypothetico-deductive reasoning task for which performance over the past 20 years has typically been very poor (<20% correct). We examined the hypothesis that incorporating a quasi-visual context into the problem statement would make both the binary, symmetric tree structure and solution principle of the THOG task clearer and thus facilitate performance. A version of O'Brien et al.'s (Q J Exp Psychol 42A:329–351) Blackboard THOG problem, that specifies each branch of the tree by describing a specific location for each possible color-shape combination, was used to test this hypothesis. Substantial facilitation was both observed (68% correct) and replicated (73% correct), and it was also shown that it is necessary to provide a representation of both sides of the tree to obtain this level of facilitation. The implications of these results for human deductive reasoning are considered. Received: 1 November 2000 / Accepted: 4 May 2001     

Naming the parents of the THOG: Mental representation and reasoning

It was hypothesized that subjects misrepresent the THOG problem by confusing data and hypotheses. An abstract version of the problem in which the given exemplars and the hypothetical ones were designated by two different labels was used in three experiments. Experiment 1 showed that this version elicits a better performance than the standard version of the problem. Experiments 2 and 3 confirmed these results, by ruling out a possible alternative account of the facilitatory effect obtained in Experiment 1. The present results are discussed in relationship to the general issues of content effects and non-consequentialism in reasoning.     

Intuitive reasoning about abstract and familiar physics problems

Previous research has demonstrated that many people have misconceptions about basic properties of motion. In two experiments, we examined whether people are more likely to produce dynamically correct predictions about basic motion problems involving situations with which they are familiar, and whether solving such problems enhances performance on a subsequent abstract problem. In Experiment 1, college students were asked to predict the trajectories of objects exiting a curved tube. Subjects were more accurate on the familiar version of the problem, and there was no evidence of transfer to the abstract problem. In Experiment 2, two familiar problems were provided in an attempt to enhance subjects' tendency to extract the general structure of the problems. Once again, they gave more correct responses to the familiar problems but failed to generalize to the abstract problem. Formal physics training was associated with correct predictions for the abstract problem but was unrelated to performance on the familiar problems.     

Context,visual salience,and inductive reasoning

An important debate in the reasoning literature concerns the extent to which inference processes are domain-free or domain-specific. Typically, evidence in support of the domain-specific position comprises the facilitation observed when abstract reasoning tasks are set in realistic context. Three experiments are reported here in which the sources of facilitation were investigated for contextualised versions of Raven's Progressive Matrices (Richardson, 1991) and non-verbal analogies from the AH4 test (Richardson & Webster, 1996). Experiment 1 confirmed that the facilitation observed for the contextualised matrices was in part due to extraneous aspects of commentaries originally intended to activate domainspecific processes. Experiments 2 and 3 indicated that the remainder of the facilitation for the matrices, and all of the facilitation for the analogies, could be explained by visual salience: Converting the item elements into realistic objects had enabled them and their transitions to be identified more easily. Hence, performance at simplified abstract items was as good as, or better than, at contextualised items. It is concluded that facilitation effects cannot be interpreted as showing that domain-specific processes constitute a self-contained system separate from domain-free processes. In turn, this means that domain-free processes cannot be dismissed as being unimportant for reasoning.     

Cross-modal and intra-modal binding between identity and location in spatial working memory: The identity of objects does not help recalling their locations

In this study we tested incidental feature-to-location binding in a spatial task, both in unimodal and cross-modal conditions. In Experiment 1 we administered a computerised version of the Corsi Block-Tapping Task (CBTT) in three different conditions: the first one analogous to the original CBTT test; the second one in which locations were associated with unfamiliar images; the third one in which locations were associated with non-verbal sounds. Results showed no effect on performance by the addition of identity information. In Experiment 2, locations on the screen were associated with pitched sounds in two different conditions: one in which different pitches were randomly associated with locations and the other in which pitches were assigned to match the vertical position of the CBTT squares congruently with their frequencies. In Experiment 2 we found marginal evidence of a pitch facilitation effect in the spatial memory task. We ran a third experiment to test the same conditions of Experiment 2 with a within-subject design. Results of Experiment 3 did not confirm the pitch–location facilitation effect. We concluded that the identity of objects does not affect recalling their locations. We discuss our results within the framework of the debate about the mechanisms of “what” and “where” feature binding in working memory.     

Creativity Under Concurrent and Sequential Task Conditions

Two experiments were conducted to investigate creativity for realistic divergent thinking problems, under concurrent and sequential task conditions (CTC and STC, respectively). Creativity was judged on divergence, novelty, appropriateness, and fluency of solutions. Results of Experiment I revealed that creativity was significantly higher under CTC than under STC. Embedded Figures Test was employed to rule out a possible alternative explanation that better performance under CTC is due to difference in creative potential between individuals participating under the two task conditions. Experiment II employed a control group to investigate whether difference in creative performance under the two conditions is due to a facilitation effect or a distraction effect, as compared to the control condition. Results showed a significant distraction effect under STC, and indicated, though not significant, a facilitation effect under CTC. Findings are understood in light of the associative theories of creativity, which highlight the role of attentional mechanisms in the creative process. Some indexes for measuring creative performance on realistic divergent thinking tasks are validated against conventional measures.     

Coming to terms with stress: Effects of stress location in sentence processing

The purpose of this research was to determine the role of syllabic stress in language processing during the early on-line processing of speech and later in the representation of a sentence in memory. Experiment 1 used a syllable monitoring task while Experiment 3 used a probe task in which subjects heard a sentence and then were asked to determine whether a probe syllable had occurred in the sentence. In the monitoring task, stressed syllables were detected more rapidly in word-initial position, but unstressed syllables were detected more rapidly in word-final position. Stress facilitation in initial syllables was strongly related to high relative F0, but not to changes in perceived vowel quality as assessed in Experiment 2. This pattern is interpreted as evidence that lexical stress is used on-line to guide lexical access and/or lexical segmentation. The probe task of Experiment 3 showed stress facilitation in both positions, indicating that stress is independently retained in the postperceptual representation of a sentence.The research reported in this paper was supported by grant 80-0416 to Harvard University (Peter C. Gordon, Principal Investigator) from the Air Force Office of Scientific Research Life Sciences Directorate. We thank Chris Thurber for his extensive and competent assistance in testing subjects and making acoustic measurements, and Jay Rueckl for comments on an earlier version of this paper     

Component processes of an overt rehearsal strategy in young children

The locus of facilitation due to rehearsal was investigated in three experiments with first-grade children. Several different overt acquisition strategies in a four-item sequential memory task were compared, including ordered repetition, item repetition, item labeling, and free strategy conditions. Experiment 1 showed that ordered repetition yields most of the facilitation due to rehearsal, and Experiment 2 demonstrated that the facilitation cannot be attributed to spaced practice. Experiment 3 showed that retrieval practice during study may improve memory performance but that the facilitation due to ordered repetition and retrieval practice is relatively short term. Mere repetition and labeling were not found to be significant component processes of rehearsal in any of the experiments. These results were discussed in terms of their relevance to rehearsal training studies and a differentiation between maintenance and elaborative rehearsal.     

The effect of social observation on children's inhibitory control

This study examined the effects of social observation on young children's performance during an inhibitory control task. In Experiment 1, children were randomly assigned to either a neutral, facilitation, or interference condition. In the neutral condition, children were presented with a standard black/white task. In the facilitation and interference conditions, children were asked to observe the task performance of another person, who gave either correct (facilitation) or incorrect (interference) responses, and then complete the task themselves. The results revealed that the performance of children in the interference condition was worse than in the other two conditions, but the difference between the two other conditions was not significant. The results of Experiment 2 show that social observation did not facilitate inhibitory control in children. These results suggest that social observation interferes with but does not facilitate inhibitory control in children. Therefore, social observation may interfere with certain aspects of executive function.     

Developing the Receptive and Productive Use of Pronouns in an Autistic Child:

In Experiment I, a preschooler with language delays and unable to answer “my-your” questions was successfully trained to answer “my-your” questions when reinforced for modeling an adult's answers to questions about possessive pronouns. Despite acquisition of the expressive use of the possessive case, generalization probes under conditions of nonmodeling and nonreinforcement showed no transfer at the receptive and expressive levels. Modeling and reinforcement training procedures in Experiment II improved the receptive use of “my-your” performance, but generalization probes revealed no receptive transfer. These same procedures in Experiment III improved the expressive use of “his-her” answers and, this time, immediate generalization of training for “his-her” occurred at the expressive and receptive levels. To facilitate generalization from the expressive to the receptive level, special programming-for-generalization procedures were used, involving reduced rated of reinforcement during training (Experiment I) and intermixing training trails with generalization probe trails (Experiment II).     

The Effects of Feedback on Perseverative Errors in Preschool Aged Children

Research using the Dimensional Change Card Sort (DCCS) showed that young children are usually able to sort accurately by an initial rule but are unable to switch to a new rule when the two rules conflict. In 2 experiments, the DCCS was modified to study the effects of feedback on 3- to 5-year-old children in a problem-solving task. In Experiment 1, half of the children in each of two age groups (36 to 44 months and 52 to 60 months) were administered the DCCS task using the standard (no feedback) procedure and the other half received feedback on their post-switch responses. Children who received feedback were able to categorize according to the new (correct) rule, whereas the children in the younger age group who did not receive feedback continued to perseverate. Experiment 2 with 3-year-olds replicated the results from Experiment 1 but found that children's successful performance with feedback on the card-sorting task did not lead to improved performance on the post-switch phase of a subsequent DCCS task. Successful performance under conditions of feedback in both studies implies that 3-year-olds are capable of shifting their response mode from one rule to an alternate rule under conditions that offer clear guidance. Poor performance on the standard version is interpreted to be a reflection of the inability to monitor their own task performance in the absence of clear contextual cues.     

Counting on working memory in arithmetic problem solving

Mental calculation is an important everyday skill involving access to well-learned procedures, problem solving, and working memory. Although there is an active literature on acquiring concepts and procedures for mental arithmetic, relatively little is known about the role of working memory in this task. This paper reports two experiments in which dual-task methodology is used to study the role of components of working memory in mental addition. In Experiment 1, mental addition of auditorily presented two-digit numbers was significantly disrupted by concurrent random letter generation and, to a lesser extent, by concurrent articulatory suppression, but was unimpaired by concurrent hand movement or by presentation of irrelevant pictures. Although the number of errors increased with two of the dual tasks, the incorrect responses tended to be quite close to the correct answer. In Experiment 2, the numbers for addition were presented visually. Here again, random generation produced the largest disruption of mental arithmetic performance, while a smaller amount of disruption was observed for articulatory suppression, hand movement, and unattended auditorily presented two-digit numbers. The overall levels of performance were better and the absolute size of the disruptive effects shown with visual presentation was very small compared with those found for auditory presentation. This pattern of results is consistent with a role for a central executive component of working memory in performing the calculations required for mental addition and in producing approximately correct answers. Visuospatial resources in working memory may also be involved in approximations. The data support the view that the subvocal rehearsal component of working memory provides a means of maintaining accuracy in mental arithmetic, and this matches a similar conclusion derived from previous work on counting. The general implications for the role of working memory in arithmetic problem solving will be discussed.