Solving Classical Insight Problems Without Aha! Experience: 9 Dot, 8 Coin, and Matchstick Arithmetic Problems

Insightful problem solving is a vital part of human thinking, yet very difficult to grasp. Traditionally, insight has been investigated by using a set of established "insight tasks," assuming that insight has taken place if these problems are solved. Instead of assuming that insight takes place during every solution of the 9 Dot, 8 Coin, and Matchstick Arithmetic Problems, this study explored the likelihood that solutions evoked the "Aha! experience," which is often regarded as the defining characteristic of insight. It was predicted that the rates of self-reported Aha! experiences might vary based on the necessary degree of constraint relaxation. The main assumption was that the likelihood of experiencing an Aha! would decrease with increasing numbers of constraints that must be relaxed, because several steps are needed to achieve a representational change and solve the problem, and thus, the main feature of suddenness of a solution might be lacking. The results supported this prediction, and demonstrated that in many cases participants do solve these classical insight problems without any Aha! experience. These results show the importance of obtaining insight ratings from participants to determine whether any given problem is solved with insight or not.

[1]  J. Metcalfe,et al.  Intuition in insight and noninsight problem solving , 1987, Memory & cognition.

[2]  Matthew I. Isaak,et al.  Constraints on thinking in insight and invention. , 1995 .

[3]  George Katona,et al.  Organizing and Memorizing: Studies in the Psychology of Learning and Teaching , 1967 .

[4]  Amory H. Danek,et al.  Aha! experiences leave a mark: facilitated recall of insight solutions , 2012, Psychological Research.

[5]  Eörs Szathmáry,et al.  Problem solving stages in the five square problem , 2015, Front. Psychol..

[6]  Jennifer Wiley,et al.  Hindsight bias in insight and mathematical problem solving: Evidence of different reconstruction mechanisms for metacognitive versus situational judgments , 2008, Memory & cognition.

[7]  Jason M Chein,et al.  Working memory and insight in the nine-dot problem , 2010, Memory & cognition.

[8]  S. Ohlsson.  Information-processing explanations of insight and related phenomena , 1992 .

[9]  Amory H. Danek,et al.  It's a kind of magic—what self-reports can reveal about the phenomenology of insight problem solving , 2014, Front. Psychol..

[10]  Michael Öllinger,et al.  Psychological Research on Insight Problem Solving , 2009 .

[11]  Amory H. Danek,et al.  Working Wonders? Investigating insight with magic tricks , 2014, Cognition.

[12]  Benjamin D. Jee,et al.  Investigating Insight as Sudden Learning , 2012, J. Probl. Solving.

[13]  Susan L. Garber,et al.  The Prepared Mind. , 2016, American journal of public health and the nation's health.

[14]  John Kounios,et al.  The Aha! Moment , 2009, Annual review of psychology.

[15]  A. Dietrich,et al.  A review of EEG, ERP, and neuroimaging studies of creativity and insight. , 2010, Psychological bulletin.

[16]  Günther Knoblich,et al.  Investigating the effect of mental set on insight problem solving. , 2008, Experimental psychology.

[17]  K. Bühler,et al.  Tatsachen und Probleme zu einer Psychologie der Denkvorgänge: I Über Gedanken , 1907 .

[18]  R. Weisberg.  Prolegomena to theories of insight in problem solving: A taxonomy of problems , 1995 .

[19]  Edward M. Bowden,et al.  The Prepared Mind , 2006, Psychological science.

[20]  R. Weisberg.  Metacognition and insight during problem solving : comment on metcalfe , 1992 .

[21]  N. Maier.  Reasoning in humans. I. On direction. , 1930 .

[22]  Craig A. Kaplan,et al.  In search of insight , 1990, Cognitive Psychology.

[23]  K. Duncker,et al.  On problem-solving , 1945 .

[24]  Edward M. Bowden,et al.  The origins of insight in resting-state brain activity , 2008, Neuropsychologia.

[26]  Robert S. Lockhart,et al.  Cognitive and affective components of insight. , 1995 .

[27]  T. Ormerod,et al.  Information processing and insight: a process model of performance on the nine-dot and related problems. , 2001 .

[28]  Rolf Reber,et al.  Gaining Insight Into the “Aha” Experience , 2010 .

[29]  Mark Jung-Beeman,et al.  Normative data for 144 compound remote associate problems , 2003, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[30]  Marcia Grabowecky,et al.  Visual Attention Modulates Insight Versus Analytic Solving of Verbal Problems , 2012, J. Probl. Solving.

[31]  Patrick J. Cushen,et al.  Cues to solution, restructuring patterns, and reports of insight in creative problem solving , 2012, Consciousness and Cognition.

[32]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[33]  Michael Öllinger,et al.  The dynamics of search, impasse, and representational change provide a coherent explanation of difficulty in the nine-dot problem , 2013, Psychological Research.

[34]  Jennifer Wiley,et al.  Obstacles in Investigating the Role of Restructuring in Insightful Problem Solving , 2009, J. Probl. Solving.

[35]  T. Ormerod,et al.  Dynamics and constraints in insight problem solving. , 2002, Journal of experimental psychology. Learning, memory, and cognition.

[36]  Trina C. Kershaw,et al.  Multiple causes of difficulty in insight: the case of the nine-dot problem. , 2004, Journal of experimental psychology. Learning, memory, and cognition.

[37]  Edward M Bowden,et al.  Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm , 2022 .

[38]  Todd B. Parrish,et al.  A Brain Mechanism for Facilitation of Insight by Positive Affect , 2009, Journal of Cognitive Neuroscience.

[39]  Gary E. Raney,et al.  An eye movement study of insight problem solving , 2001, Memory & cognition.

[40]  Michael Öllinger,et al.  Cognitive mechanisms of insight: the role of heuristics and representational change in solving the eight-coin problem. , 2013, Journal of experimental psychology. Learning, memory, and cognition.

[41]  S. Ohlsson,et al.  Constraint relaxation and chunk decomposition in insight problem solving , 1999 .

[42]  J. Bhattacharya,et al.  Deconstructing Insight: EEG Correlates of Insightful Problem Solving , 2008, PloS one.

[43]  Jarrod Moss,et al.  Is Insight Always the Same? A Protocol Analysis of Insight in Compound Remote Associate Problems , 2012, J. Probl. Solving.

[44]  Edward M. Bowden,et al.  Neural Activity When People Solve Verbal Problems with Insight , 2004, PLoS biology.

[45]  S. Ohlsson.  Restructuring revisited: II. An information processing theory of restructuring and insight. , 1984 .

[46]  Edward M. Bowden,et al.  New approaches to demystifying insight , 2005, Trends in Cognitive Sciences.

[47]  B. Karl,et al.  Tatsachen und Probleme zu einer Psychologie der Denkvorgänge, III. , 1908 .

[48]  J. MacGregor,et al.  Rebus puzzles as insight problems , 2008, Behavior research methods.

[49]  J. Fleck,et al.  The use of verbal protocols as data: An analysis of insight in the candle problem , 2004, Memory & cognition.

[50]  Janet E. Davidson,et al.  The suddenness of insight. , 1995 .

[51]  T C Ormerod,et al.  When Insight Just Won't Come: The Failure of Visual Cues in the Nine-Dot Problem , 2001, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[52]  Eyal M. Reingold,et al.  Eye movements reveal solution knowledge prior to insight , 2011, Consciousness and Cognition.

[53]  M. Iacoboni,et al.  “Aha!”: The neural correlates of verbal insight solutions , 2009, Human brain mapping.

[54]  Harald Atmanspacher,et al.  Recasting reality : Wolfgang Pauli's philosophical ideas and contemporary science , 2010 .