问题结构因素对伦敦塔问题解决的影响

以121名2,4,6年级小学生为被试,采用计算机呈现的方式,探讨了子目标和次佳路径这两个问题结构因素对伦敦塔问题解决表现的影响。结果发现：子目标和次佳路径两个因素存在交互作用,解决有子目标－无次佳路径问题时的计划指标要高于其他类型问题。根据被试在伦敦塔任务上的表现,划分为三大类7种表现类型。当存在不同的问题结构因素时,问题解决表现类型体现出差异性。     

Using another's gaze as an explicit aid to insight problem solving

Research has shown that implicitly guiding attention via visual cues or unrelated tasks can increase the likelihood of solving insight problems. We examined whether following another person making specific skin-crossing saccades could induce similar attentional shifts and increase solution rates for Duncker's ((1945) Duncker, K. 1945. On problem solving. Psychological Monographs, 58 (5, Whole No. 270)[Crossref] , [Google Scholar]) radiation problem. We presented 150 participants with one of three 30-s eye movement patterns from another problem solver: (a) focusing solely on the central tumour; (b) naturally making skin-crossing saccades between the outside area and the tumour from multiple angles; or (c) making deliberate skin-crossing saccades between the outside area and the tumour from multiple angles. Following another person making skin-crossing saccades increased the likelihood of solving the radiation problem. Our results demonstrate that another person's eye movements can promote attentional shifts that trigger insight problem solving.     

Causality and the categorisation of objects and events

The “Tower of London” puzzle was adapted to tablet PCs to be used as a clinical bedside test. “Iso-problems”, a specific class of problems, require identical moves but ball colours are permuted. Thus difficulty is the same even if the appearance is different. We wanted to determine the impact of these as yet little-studied tasks and hypothesised that there may be a learning effect specific to them (the “iso-effect”). We interspersed a set of six iso-problems within one selection of 22 tasks and analysed problem solving by 81 healthy adults (mean age 41.6 years). Participants showed learning across iso-problems (less time, fewer moves, increasingly efficient solutions). This effect was distinct from general learning, as was obvious from comparison with a series of non-isomorphic tasks. However, participants seem not to be aware of solving such problems. This “iso-effect” may be related to implicit memory, a domain that so far has not been assessed using the Tower of London.     

Multiple paths to transfer and constraint relaxation in insight problem solving

In two experiments participants received various training methods designed to relax constraints present in the Four-Tree problem (deBono, 1967 deBono, E. 1967. The use of lateral thinking, London: Jonathan Cape.  [Google Scholar]), a difficult insight problem. Geometry misconceptions were corrected via direct instruction. Participants’ difficulty with developing three-dimensional representations was addressed via spontaneous analogical transfer (Experiment 1) or via cued analogical transfer (Experiment 2). We found that, while both training methods were effective, alleviating multiple constraints was more effective than the alleviation of single constraints via training programmes (c.f. Kershaw & Ohlsson, 2004 Kershaw, T. C. and Ohlsson, S. 2004. Multiple causes of difficulty in insight: The case of the nine-dot problem. Journal of Experimental Psychology: Learning Memory and Cognition, 30: 3–13. doi: 10.1037/0278-7393.30.1.3[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Providing single difficulty hints was ineffective in promoting solution. Implications for multiple paths to transfer (Nokes, 2009 Nokes, T. J. 2009. Mechanisms of knowledge transfer. Thinking & Reasoning, 15: 1–36. doi: 10.1080/13546780802490186[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]; Nokes & Ohlsson, 2005 Nokes, T. J. and Ohlsson, S. 2005. Comparing multiple paths to mastery: What is learned?. Cognitive Science, 29: 769–796. doi: 10.1207/s15516709cog0000_32[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) and multiple constraints are discussed.     

Metacognition and low achievement in mathematics: The effect of training in the use of metacognitive skills to solve mathematical word problems

The central question underlying this study was whether metacognition training could enhance the two metacognition components—knowledge and skills—and the mathematical problem-solving capacities of normal children in grade 3. We also investigated whether metacognitive training had a differential effect according to the children's mathematics level. A total of 48 participants took part in this study, divided into an experimental and a control group, each subdivided into a lower and a normal achievers group. The training programme took an interactive approach in accordance with Schraw's (1998 Schraw, G. 1998. Promoting general metacognitive awareness. Instructional Science, 26: 113–125. [Crossref], [Web of Science ®] , [Google Scholar]) recommendation and was carried out over five training sessions. Results indicated that children in the training group had significantly higher post-test metacognitive knowledge, metacognitive skills, and mathematical problem-solving scores. In addition, metacognitive training was particularly beneficial to the low achievers. Thus metacognitive training enabled the low achievers to make progress and solve the same number of problems on the post-test as the normal achievers solved on the pre-test.     

The effect of semantics on problem solving is to reduce relational complexity

This article reports a study carried out in order to measure how semantic factors affect reductions in the difficulty of the Chinese Ring Puzzle (CRP) that involves removing five objects according to a recursive rule. We hypothesised that semantics would guide inferences about action decision making. The study involved a comparison of problem solving for two semantic isomorphic variants of the CRP ( fish and fleas ) with problem solving for the puzzle's classic variant (the Balls and Boxes problem; Kotovsky & Simon, 1990 Kotovsky, K. and Simon, H. A. 1990. What makes some problems really hard: Exploration in the problem space difficulty. Cognitive Psychology, 22: 143–183. [Crossref], [Web of Science ®] , [Google Scholar]). Our results showed that the number of moves was reduced by 47% in the fish version and by 51% in the flea version. We discuss these results in terms of semantic inferences and reductions in relational complexity. During the exploratory stage of problem solving participants discover the dependent relations between elements in the puzzle. Initially these relations are processed separately; learning involves generalising the relations within a coherent, interconnected whole that makes up the puzzle's rules. It seems that semantics make it easier for the puzzle's elements to be grouped together within coherent, meaningful wholes, which reduces relational complexity and facilitates problem solving.     

Goals and Everyday Problem Solving: Examining the Link between Age-Related Goals and Problem-Solving Strategy Use

ABSTRACT

Qualitative interviews on family and financial problems from 332 adolescents, young, middle-aged, and older adults, demonstrated that developmentally relevant goals predicted problem-solving strategy use over and above problem domain. Four focal goals concerned autonomy, generativity, maintaining good relationships with others, and changing another person. We examined both self- and other-focused problem-solving strategies. Autonomy goals were associated with self-focused instrumental problem solving and generative goals were related to other-focused instrumental problem solving in family and financial problems. Goals of changing another person were related to other-focused instrumental problem solving in the family domain only. The match between goals and strategies, an indicator of problem-solving adaptiveness, showed that young individuals displayed the greatest match between autonomy goals and self-focused problem solving, whereas older adults showed a greater match between generative goals and other-focused problem solving. Findings speak to the importance of considering goals in investigations of age-related differences in everyday problem solving.     

Cognitive determinants of the success of inventors: Complex problem solving and deliberate use of divergent and convergent thinking

With reference to Henderson's (2004) assumption that inventors are “expert problem solvers”, we studied the ability of inventors to solve complex problems (CPS) using a sample of 46 German inventors. The participants had to use FSYS 2.0, a computer-simulated microworld. Additionally, we assessed metacognition, in particular the participants' ability to make deliberate use of divergent and convergent thinking. This ability was expected to be an important skill involved in solving complex problems (Dörner, Kreuzig, Reither, & Stäudel, 1983). We assumed a positive correlation between the individual success of inventors (number of granted and marketed patents) and CPS abilities. Controllability of divergent and convergent thinking turned out to be a predictor of the success of inventors and allowed us to identify the top 10% performers. Oddly however, the best problem solvers were inventors with exactly one granted patent. Data from a posteriori conducted interviews help explaining the results.     

Escaping mental fixation: Incubation and inhibition in creative problem solving

The inhibition underlying retrieval-induced forgetting has been argued to play a crucial role in the ability to overcome interference in memory and cognition. Supporting this conjecture, recent research has found that participants who exhibit greater levels of retrieval-induced forgetting are better at overcoming fixation on the Remote Associates Test (RAT) than are participants who exhibit reduced levels of retrieval-induced forgetting. If the ability to inhibit inappropriate responses improves the ability to solve fixated RAT problems, then reducing the fixation caused by inappropriate responses should reduce the correlation between retrieval-induced forgetting and problem solving. We tested this hypothesis by inserting an incubation period between two 30-second problem-solving attempts: half of the participants were given an incubation period (distributed condition), half were not (continuous condition). In the continuous condition retrieval-induced forgetting correlated positively with problem-solving performance during both the initial and final 30 seconds of problem solving. In the distributed condition retrieval-induced forgetting only correlated with problem-solving performance during the first 30 seconds of problem solving. This finding suggests that incubation reduces the need for inhibition by reducing the extent to which problem solvers suffer fixation.     

Cognitive reserve as a moderator of responsiveness to an online problem-solving intervention for adolescents with complicated mild-to-severe traumatic brain injury

Children and adolescents with traumatic brain injury (TBI) often experience behavior difficulties that may arise from problem-solving deficits and impaired self-regulation. However, little is known about the relationship of neurocognitive ability to post-TBI behavioral recovery. To address this question, we examined whether verbal intelligence, as estimated by Vocabulary scores from the Wechsler Abbreviated Scale of Intelligence, predicted improvements in behavior and executive functioning following a problem-solving intervention for adolescents with TBI. One hundred and thirty-two adolescents with complicated mild-to-severe TBI were randomly assigned to a six-month Web-based problem-solving intervention (CAPS; n = 65) or to an Internet resource comparison (IRC; n = 67) group. Vocabulary moderated the association between treatment group and improvements in metacognitive abilities. Examination of the mean estimates indicated that for those with lower Vocabulary scores, pre-intervention Metacognition Index scores from the Behavior Rating Inventory of Executive Function (BRIEF) did not differ between the groups, but post-intervention scores were significantly lower (more improved) for those in the CAPS group. These findings suggest that low verbal intelligence was associated with greater improvements in executive functioning following the CAPS intervention and that verbal intelligence may have an important role in response to intervention for TBI. Understanding predictors of responsiveness to interventions allows clinicians to tailor treatments to individuals, thus improving efficacy.