The use of verbal protocols as data: An analysis of insight in the candle problem

In the present study, we examined the use of verbal protocols as data in the study of the cognitive processes underlying insight. Fifty-eight Temple University undergraduates attempted to solve Duncker's (1945) candle problem either silently or while thinking aloud. Solution rates, solving times, and solution types were comparable between conditions, suggesting that verbal overshadowing (Schooler, Ohlsson, & Brooks, 1993) did not occur when the participants attempted to solve the candle problem. Subsequent analysis of verbal protocols provided a catalogue of solutions generated by the participants, as well as empirical support for the occurrence of impasse and restructuring. Although restructuring was present in the majority of protocols, including those of the participants who later produced the box solution, the presence of impasse occurred with less frequency and was not associated with production of the box solution. These results provide information concerning how the candle problem is solved and suggest that verbalization can be used to examine how individuals solve insight problems and to evaluate existing theories of insight.     

Insight versus analysis: Evidence for diverse methods in problem solving

Since the Gestalt psychologists made the distinction approximately 100 years ago, psychologists have differentiated between solving problems through analysis versus insight. The present paper presents evidence to support the idea that, rather than conceptualising insight versus analysis as distinct modes of solving problems, it is more useful to conceive of insight and analysis as two approaches within a set of possible solving methods. In the present research, 60 participants solved insight problems while thinking aloud, which provided evidence concerning the processes underlying problem solution. Comparison with performance of a nonverbalisation control group (n = 35) indicated no negative effects of thinking aloud on insight in problem solving. The results supported the idea that various methods are utilised in solving insight problems. The “classic” impasse–restructuring–insight sequence occurred in only a small minority of solutions. A number of other solution methods were found, ranging from relatively direct applications of knowledge, to various heuristic methods, to restructuring arising from new information gleaned from a failed solution. It is concluded that there is not a sharp distinction between solving a problem through analysis versus insight, and implications of that conclusion are discussed.     

两步火柴棍算术问题解决中的顿悟认知成分分析*

选取68名大学生,随机分为口语报告组和非口语报告组,解决数值型、混合型、分解型、符号型和连等型等五种类型在内的8个两步火柴棍算术问题,以探讨不同难度的两步火柴棍算术问题解决过程中的顿悟认知成分。研究结果:(1)在两步火柴棍算术问题解决过程中,口语报告不存在口语遮蔽效应;(2)两步火柴棍算术问题的难度水平不完全取决于不正确表征;(3)五种题型中都存在失败、僵局和重构三种顿悟认知成分,且都存在自下而上和自上而下两种重构类型。本研究验证了难度水平不同的两步火柴棍算术问题解决过程是一个从分析到顿悟的连续体,即难度较大的连等型和符号型包含的顿悟认知成分较多,更接近顿悟性问题一端,分解型居中,难度较小的混合型、数值型包含的顿悟认知成分较少,更接近分析性问题一端;且自下而上的重构更多存在于顿悟性问题一端。     

工作记忆对顿悟和分析型问题解决的影响

摘要 采用顿悟-分析自我报告范式,以远距离联想任务为实验材料,从工作记忆容量和工作记忆负荷两个角度考察了工作记忆对顿悟和分析型问题解决的影响。结果表明,高工作记忆容量个体分析型问题解决的表现优于低工作记忆容量者,但在顿悟表现上无显著差异;工作记忆负荷较小时个体分析型问题解决表现更佳,但对顿悟表现没有影响。说明通过分析解决创造性问题的表现依赖于工作记忆的支持,而通过顿悟解决问题的表现与工作记忆无关。     

Mental models and problem solving: Three challenges to a theory of restructuring and insight

The Gestalt psychologists' view of restructuring and the associated phenomenon of insight is discussed and related to findings in modern cognitive psychology. In line with Ohlsson (1984b) it is assumed that search in semantic memory is an indispensable part of restructuring. However, in contrast to Ohlsson's (1984b) information processing theory of restructuring and insight the present paper focuses on the role of mental models. It is asserted that the Gestalt approach to problem solving is compatible with the idea that a mental model is manipulated. The paper discusses three assumptions of restructuring and insight, all of which are related to mental models: (a) restructuring involves manipulating a mental model; (b) the experience of insight is based on "seeing" something in a mental model; (c) restructuring aims at realizing structural balance in a mental model. To assess the validity of these three assumptions is seen as a challenge to future research on human problem solving.     

Categories of insight and their correlates: An exploration of relationships among classic‐type insight problems,rebus puzzles,remote associates and esoteric analogies

A central question in creativity concerns how insightful ideas emerge. Anecdotal examples of insightful scientific and technical discoveries include Goodyear's discovery of the vulcanization of rubber, and Mendeleev's realization that there may be gaps as he tried to arrange the elements into the Periodic Table. Although most people would regard these discoveries as insightful, cognitive psychologists have had difficulty in agreeing on whether such ideas resulted from insights or from conventional problem solving processes. One area of wide agreement among psychologists is that insight involves a process of restructuring. If this view is correct, then understanding insight and its role in problem solving will depend on a better understanding of restructuring and the characteristics that describe it. This article proposes and tests a preliminary classification of insight problems based on several restructuring characteristics: the need to redefine spatial assumptions, the need to change defined forms, the degree of misdirection involved, the difficulty in visualizing a possible solution, the number of restructuring sequences in the problem, and the requirement for figure‐ground type reversals. A second purpose of the study was to compare performance on classic spatial insight problems with two types of verbal tests that may be related to insight, the Remote Associates Test (RAT), and rebus puzzles. In doing so, we report on the results of a survey of 172 business students at the University of Waikato in New Zealand who completed classic‐type insight, RAT and rebus problems.     

No Role of Initial Problem Representation in Insight Problem Solving

The literature on insight problems—problems that supposedly can only be solved by rejection of an initial faulty problem representation and sudden comprehension of another, nonobvious representation (restructuring)—suggests that the size of initial representations affects the very process of problem solving. Large initial representations impose systematic, analytical search, whereas only small representations promote intuitive, associative processes assumed by some theorists to underpin insight. In a group of 353 young healthy participants, 6 previously validated insight problems were applied in either a small or large initial representation variant. Results demonstrated no reliable difference in performance between the problem variants with regard to (a) solution accuracy, (b) self-reported insight accompanying solutions, (c) effects of fatigue, (d) correlations with another 6 small representation-size problems, and (e) correlations with working memory capacity (which were notable). This outcome suggests that the size of initial faulty representation plays no role in insight problem solving process, supporting the account assuming its strong similarity to systematic, analytical problem solving.     

Metaphors and creative thinking

This study examined how working memory plays different roles in open-ended versus closed-ended creative problem-solving processes, as represented by divergent thinking tests and insight problem-solving tasks. With respect to the analysis of different task demands and the framework of dual-process theories, the hypothesis was that the idea generation in a divergent thinking test relies more on associative, effortless system 1 processing, but insight problem solving requires rule-based, resource-limited system 2 processing, in addition to system 1 processing. Since system 1 was suggested to be more active in resource deprivation conditions, Experiment 1 adopted the dual-task paradigm, which increased participants' working memory load. The results showed that divergent thinking performance was enhanced and insight problem-solving performance was hindered. Experiment 2 using the individual differences approach found that individuals' working memory capacity correlated with insight problem solving but not with divergent thinking performance, indicating a possible involvement of system 2 processing in insight problem solving. These findings suggested that open-ended and closed-ended creative problem solving involve different processes and helped to clarify some past inconsistencies when considering the relationship of factors with creativity.     

顿悟问题解决中抑制功能的作用

探讨了抑制功能在顿悟问题解决过程中的作用。在实验1中,以148名大学生为被试,使用Stroop任务、潜伏抑制任务、提取抑制任务等多种抑制功能任务和若干初始搜索空间不同的言语类顿悟问题,探讨了抑制功能在言语顿悟问题解决中的作用;在实验2中,以159名大学生为被试,使用Stroop任务等抑制功能任务和初始搜索空间不同的空间类顿悟问题,探讨了抑制功能在空间顿悟问题解决中的作用。研究结果表明：（1）自发性侧抑制功能和主动性抑制功能对于顿悟问题解决均有不利影响;（2）抑制功能主要作用于顿悟问题解决的重构阶段。这些结果表明抑制功能对于顿悟问题解决的重构过程具有重要影响。     

Problem restructuring processes for ill-structured verbal analogies

The processes involved in analogy solving have been an important investigative area in cognitive psychology. Although problem restructuring has been a central construct in problem solving theory, no restructuring processes have been proposed for analogical reasoning. Yet, the stimulus terms for analogies, as they appear on ability tests, are often ill-structured. That is, they are ordered in a way that does not permit direct problem comprehension. In the current study, both perceptual and semantic problem restructuring processes were hypothesized for analogy solving. The independence, stage of execution, and susceptibility to strategic control of the two processes were examined. The results from two experiments indicated that (1) ill-structured analogies are restructured during problem solving, (2) perceptual and semantic restructuring processes are independent and executed at different stages of analogy solving, and (3) both processes exhibited automaticity since repetition of analogy solution attenuated but did not eliminate either restructuring process. A model of analogical reasoning that incorporated both restructuring processes and their execution sequences was proposed. The nature and automaticity of perceptual and semantic analogy restructuring processes were disscussed.     

Verbalization and problem solving: Insight and spatial factors

Two groups of participants attempted eight examples of each of four different problem types formed by combining insight versus non‐insight and verbal versus spatial factors. The groups were given different verbalization instructions viz., Silent (N = 40) or Direct Concurrent (N = 40). There were significant differences between insight and non‐insight tasks and between spatial and verbal tasks in terms of solution rates and latencies. Significant interactions between the verbal versus spatial factor and verbalization condition on solution rates and latencies reflected a greater (negative) effect of verbalizing on spatial as against verbal problems. However, no significant interactions of the insight versus non‐insight factor with verbalization condition on solution rates or latencies were found. These results favoured the ‘business as usual’ view of insight problem solving as against the ‘special process’ view which predicted larger effects of verbalization for insight problems as against non‐insight problems.     

Cognitive Abilities Involved in Insight Problem Solving: An Individual Differences Model

This study investigated individual differences in cognitive abilities that contribute to solving insight problems. A model is proposed describing three types of cognitive ability that contribute independently to insight: convergent thinking, divergent thinking, and breaking frame. The model was tested in a large sample (N = 108) by regressing insight problem solving performance on measures of these three abilities. This analysis demonstrated that all three abilities predicted insight independently. Convergent thinking was further broken down into verbal intelligence and working memory, which also predicted insight independently of each other and of divergent thinking and breaking frame. Finally, when pitted against noninsight problem solving as a predictor in regression, only insight problem solving was uniquely associated with divergent thinking and breaking frame. The model is suggested as a potentially useful taxonomy for the study of ill-defined problems and cognitive abilities.     

Working memory and insight in the nine-dot problem

In the present article, we examine the contribution of working memory (WM) to solution of the nine-dot problem, a classic insight problem. Prior research has generally demonstrated a limited role for WM in the solution of insight problems, which are typically assumed to be solved without conscious planning. However, MacGregor, Ormerod, and Chronicle (2001) proposed an information-processing model that solves the nine-dot problem by relying on a visual WM mechanism, which they term lookahead. In the present research, we examine whether performance on the nine-dot problem is indeed predicted by WM capacity. The results indicated that spatial WM capacity predicted the tendency to draw lines outside the configuration of dots and predicted the solution on a hint-aided version of the problem. Furthermore, within those solving the problem, higher spatial WM capacity was also related to faster solutions. The results support the information-processing model and suggest a more essential role for WM and planning in insight problem solving than has previously been acknowledged.     

Promoting Insightful Problem Solving

This work assessed whether insightful problem solving could be trained. Specifically, we tested whether solutions to a heterogeneous set of verbal insight problems could be promoted. A training scheme was developed to promote the application of mechanisms that underlie the process of restructuring. Training across the five experiments consisted of different combinations of the following training techniques: advance strategic instructions, varying amounts of practice, practice with different types of feedback, and problem comparison. Results from all five experiments showed that training can promote solutions to verbal insight problems. Facilitation effects ranged from a 14%–24% gain in overall solution rates relative to no‐treatment controls. This work demonstrated that insightful problem solving could be trained at a relatively high level of generality.     

顿悟:是进程监控还是表征转换

当前解释顿悟问题解决机制的理论主要有表征转换理论和进程监控理论。进程监控理论主要解释了顿悟问题为什么困难,但事实上它并没有说明顿悟问题为什么会解决,只回答了在什么情况下被试才会寻求其他的方法,而且它把顿悟问题解决的一般过程看成是同常规问题解决方法相同的过程。而表征转换理论主要解释了顿悟是如何获得的——顿悟的获得是由于问题解决者对问题的表征实现了正确的转变,但它并没有解释表征什么时候、怎么样才能转变?顿悟问题的解决经历了三个认知加工阶段,顿悟问题的解决需要在消除定势情况下激活正确的启发信息(线索),并验证了顿悟问题的原型激活和关键启发信息理论假说。     

Insight problem solving in individuals with high versus low schizotypy

Insight problem solving requires restructuring of a problem space by stepping out of the framework provided by the commonly activated cognitive schemas and acquiring a new perspective on the problem. Schizotypy has been linked with loosened associative and overinclusive thinking that may be advantageous for this process. The present study tested this hypothesis and found that individuals with a high degree of schizotypy show better performance on a set of insight problems relative to individuals with low schizotypy, but not on a set of incremental problems that required focused goal-related thinking. Results support the notion that schizotypy is associated not only with enhanced abilities in creative processes involved in divergent thinking but also in creative operations during analytical problem solving.     

The Aha! moment: Is insight a different form of problem solving?

In everyday life, we mainly solve problems with a conscious solution search (non-insight). However, sometimes a perplexing problem is resolved by a quantum leap in understanding. This phenomenon is known as the Aha! experience (insight). Although insight has a distinct phenomenological and behavioral signature, its driving mechanism remains debated. Weisberg (2015) proposed an integrated theory of insight arguing that insight, like non-insight, mainly depends on conscious, cognitive operations with restructuring as a distinguishing feature of insight. However, only if those operations lead to an impasse, insight is achieved through unconscious processes. We assessed some of the premises of this theory by asking participants (N = 42) to solve 70 word puzzles (CRAT) that can either be solved with insight or non-insight. For each puzzle, participants indicated word puzzle difficulty, solution confidence, solution suddenness, and the experiences of impasse and restructuring. As expected, participants reported higher suddenness of and confidence in insight solutions than non-insightful ones. Surprisingly, we could not corroborate the otherwise consistently reported higher solution accuracy and faster solution speed for insight. Crucially, as suggested by the integrated theory of insight, impasse was not a prerequisite for insight to occur. Although restructuring, indeed, preceded insight solutions more often, it seemed a more general problem-solving skill also applied for non-insight solutions. Moreover, early on, participants reported an increased experience of problem difficulty for puzzles later solved with insight. This ability to report on the solution search of insight demonstrates that, as proposed by the theory, insight involves conscious, cognitive operations.     

执行功能对言语顿悟问题解决的影响:基于行为与ERPs的研究

执行功能是否影响顿悟问题解决,顿悟问题解决中的表征重组阶段是否涉及执行功能仍存在争议。基于此,通过2个研究探讨执行功能对顿悟问题解决的影响。研究1初步探讨执行功能与个体顿悟能力之间的关系,结果发现个体的执行功能与其顿悟问题解决成绩之间存在显著正相关,刷新功能可以显著预测顿悟成绩;研究2使用汉字字谜任务,通过行为与ERPs技术探讨执行功能对言语顿悟问题解决的影响,其中研究2a,行为实验发现高工作记忆刷新能力的个体反应时显著小于低工作记忆刷新能力的个体,说明执行功能中工作记忆刷新亚成分影响顿悟问题解决。研究2b脑电结果发现,"顿悟"条件较之"无顿悟"条件诱发了一个更强的早期成分P2和N2,以及中晚期P3。P2可能主要反映人脑对思维僵局的早期觉察,受到执行功能高低的影响。280~500 ms内,中晚期P3则主要体现以新旧思路交替为特征的僵局打破过程,不受执行功能高低的影响,结果表明汉字字谜顿悟问题的表征重组阶段并未受到执行功能的影响,更倾向认为该阶段为一个突进的过程。综合2个研究说明,执行功能影响顿悟问题解决,其主要作用于顿悟问题解决过程的问题空间搜索阶段,而表征重组阶段是一个突进式的过程。     

Cues to solution, restructuring patterns, and reports of insight in creative problem solving

While the subjective experience of insight during problem solving is a common occurrence, an understanding of the processes leading to solution remains relatively uncertain. The goal of this study was to investigate the restructuring patterns underlying solution of a creative problem, and how providing cues to solution may alter the process. Results show that both providing cues to solution and analyzing problem solving performance on an aggregate level may result in restructuring patterns that appear incremental. Analysis of performance on an individual level provides evidence for insight-like solution patterns. However, no evidence is found for a relationship between an individual's restructuring pattern and their subjective experience of insight during problem solving.     

Time of day effects on problem solving: When the non-optimal is optimal

In a study examining the effects of time of day on problem solving, participants solved insight and analytic problems at their optimal or non-optimal time of day. Given the presumed differences in the cognitive processes involved in solving these two types of problems, it was expected that the reduced inhibitory control associated with non-optimal times of the day would differentially impact performance on the two types of problems. In accordance with this expectation, results showed consistently greater insight problem solving performance during non-optimal times of day compared to optimal times of day but no consistent time of day effects on analytic problem solving. The findings indicate that tasks involving creativity might benefit from a non-optimal time of day.