Working memory demands in insight versus analytic problem solving

Working memory is one of the cognitive processes thought to differentiate insight and analytic forms of problem solving. The present research examined memory involvement in the solution of insight versus analytic problems. Participants completed verbal and spatial working memory and short-term memory measures and a series of analytic and insight problems. Results demonstrated a relationship between working-memory capacity and the solution of analytic problems and between verbal short-term memory capacity and the solution of insight problems. This distinction was generally though not universally supported when memory was examined in relation to individual problems. Memory involvement in insight problem solving was further examined to clarify whether restructuring in insight is the end result of active memory search or spontaneous processes. The present research supports the theory that differences exist in the cognitive processes underlying insight versus analytic problem solving, and provides support for the spontaneous theory of restructuring in insight.     

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.     

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.     

The contributions of convergent thinking,divergent thinking,and schizotypy to solving insight and non-insight problems

The ability to generate diverse ideas (divergent thinking) is valuable in solving creative problems (e.g., insight problems); yet, however advantageous, this ability is insufficient to solve the problem alone and requires the ability to logically deduce an assessment of correctness of each solution (convergent thinking). Positive schizotypy may help isolate the aspects of divergent thinking prevalent in insight problem solving. Participants were presented with a measure of schizotypy (Oxford-Liverpool Inventory of Feelings and Experiences), divergent and convergent thinking tasks, insight problems, and non-insight problems. We found no evidence for a relationship between schizotypy and insight problem solving. Relationships between divergent thinking and insight problem solving were also surprisingly weak; however, measures of convergent thinking had a stronger relationship with problem solving. These results suggest that convergent thinking is more important than divergent thinking in problem solving.     

Flexible strategy use: A characteristic of gifted problem solving

The aim of the study was to investigate the relationship between flexible strategic thinking and problem solving performance. In the first experiment, gifted, average, and poor problem solvers performed a number of tasks which were designed to provoke rigidity. The results indicated that the average and poor performance groups did not differ in the number of answers indicating response and perceptual set. On the other hand, creative and intelligent students showed fewer rigid answers than the other two groups. In the second experiment, gifted and average students were asked to think aloud while solving different problems with open and closed solution situations. The thinking aloud protocols were analyzed by classifying the statements into different strategy types. Gifted students used a variety of strategies when solving problems, as well as different strategies for different problem types. No such differences were observed with the average problem solvers. The results of both experiments demonstrated consistent evidence for the role of flexible strategic thinking in gifted problem solving, as well as less direct evidence of the importance of metacognitive knowledge.     

When the Solution Is on the Doorstep: Better Solving Performance,but Diminished Aha! Experience for Chess Experts on the Mutilated Checkerboard Problem

Insight problems are difficult because the initially activated knowledge hinders successful solving. The crucial information needed for a solution is often so far removed that gaining access to it through restructuring leads to the subjective experience of “Aha!”. Although this assumption is shared by most insight theories, there is little empirical evidence for the connection between the necessity of restructuring an incorrect problem representation and the Aha! experience. Here, we demonstrate a rare case where previous knowledge facilitates the solving of insight problems but reduces the accompanying Aha! experience. Chess players were more successful than non‐chess players at solving the mutilated checkerboard insight problem, which requires retrieval of chess‐related information about the color of the squares. Their success came at a price, since they reported a diminished Aha! experience compared to controls. Chess players’ problem‐solving ability was confined to that particular problem, since they struggled to a similar degree to non‐chess players to solve another insight problem (the eight‐coin problem), which does not require chess‐related information for a solution. Here, chess players and non‐chess players experienced the same degree of insight.     

Productive and Re‐productive Thinking in Solving Insight Problems

Many innovations in organizations result when people discover insightful solutions to problems. Insightful problem‐solving was considered by Gestalt psychologists to be associated with productive, as opposed to re‐productive, thinking. Productive thinking is characterized by shifts in perspective which allow the problem solver to consider new, sometimes transformational, approaches. Re‐productive thinking, on the other hand, involves the application of familiar, routine, procedures. This article reports a study which investigated how self‐reported productive and re‐productive thinking are related to an individual's ability to solve insight problems. Our measures were tested against the Kirton Adaption‐Innovation Inventory (KAI), and a battery of spatial insight problems. The results indicated that productive and re‐productive thinking and the KAI were successful in predicting performance on spatial insight problems. Furthermore, the measures of productive and re‐productive thinking accounted for spatial insight performance independently of scores on the KAI. In addition, the results suggested that re‐productive thinking consists of two different components—one based on group conventions and the other on personal experience. Each contributed differently to solving insight problems.     

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.     

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.     

Restructuring revisited

The Gestalt psychologists proposed that restructuring ( Umstrukturierung ) is an essential process in thinking. This concept has not been integrated into the information processing theory of problem solving. As a preparation for such an integration, the Gestalt writings about restructuring in problem solving are summarized in a set of principles. Critical scrutiny shows that some Gestalt principles are overstated; others have very weak empirical support. But the psychological reality of restructuring is not in doubt, in spite of the recent criticism by Weisberg and Alba (1982 a ). A unified theory of thinking should interpret restructuring in information processing terms, and explain the relation between restructuring and search.     

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.     

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.     

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.     

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。     

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.     

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。     

Restructuring revisited

The central concept of the information processing theory of problem solving is search. In contrast, the central concept of the Gestalt theory of problem solving is restructuring. Both concepts express important aspects of human thinking. A theory is presented which interprets restructuring and the related concept of insight in information processing terms. It is hypothesised that restructuring is a change in mental representation which affects the applicability of problem solving operators. Insight is hypothesized to occur when restructuring of the search space brings the goal state within the horizon of mental look-ahead.     

The Zen Doctrine of “No-Method”

The case is made for a spectrum of methods in Western psychology transcending the normal dichotomy between the categories of quantitative versus qualitative methodology. Although the quantitative–qualitative continuum may be a sufficient representation of methods in the discussion of methodology within the reductionistic sciences, it fails to account for the phenomenology of the science-making process, itself, as a problem of consciousness within the developing human sciences, and also has little relevance for the way non-Western cultures view the problem of the relation of method to theory. A case in point is the problem of method as discussed in Zen Psychology. The act of freeing attention from its attachment to objective thought through the cultivation of wu, or no-thing-ness, is considered in Zen meditation and then applied to an analysis of the method of the koan, or nonrational riddle, which is designed to shock consciousness into a state of release through immediate intuitive insight. The conclusion is that possibly through such means psychologists in the West could free themselves from the overly rigid and narcissistic focus on methods of reductionistic empiricism as the only alleged standard for defining reality.     

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.     

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.