{"title":"Editor's Introduction","authors":"I.J.E.I. van Rooij","doi":"10.7771/1932-6246.1139","DOIUrl":"https://doi.org/10.7771/1932-6246.1139","url":null,"abstract":"","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73260816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Clustering, Randomness, and Regularity: Spatial Distributions and Human Performance on the Traveling Salesperson Problem and Minimum Spanning Tree Problem","authors":"M. Dry, Kym Preiss, J. Wagemans","doi":"10.7771/1932-6246.1117","DOIUrl":"https://doi.org/10.7771/1932-6246.1117","url":null,"abstract":"We investigated human performance on the Euclidean Traveling Salesperson Problem (TSP) and Euclidean Minimum Spanning Tree Problem (MST-P) in regards to a factor that has previously received little attention within the literature: the spatial distributions of TSP and MST-P stimuli. First, we describe a method for quantifying the relative degree of clustering, randomness or regularity within point distributions. We then review evidence suggesting this factor might influence human performance on the two problem types. Following this we report an experiment in which the participants were asked to solve TSP and MST-P test stimuli that had been generated to be either highly clustered, random, or highly regular. The results indicate that for both the TSP and MST-P the participants tended to produce better quality solutions when the stimuli were highly clustered compared to random, and similarly, better quality solutions for random compared to highly regular stimuli. It is suggested that these results provide support for the ideas that human solv- ers attend to salient clusters of nodes when solving these problems, and that a similar process (or series of processes) may underlie human performance on these two tasks.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"152 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79584251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ezra Wegbreit, Satoru Suzuki, Marcia Grabowecky, John Kounios, Mark Beeman
{"title":"Visual Attention Modulates Insight Versus Analytic Solving of Verbal Problems.","authors":"Ezra Wegbreit, Satoru Suzuki, Marcia Grabowecky, John Kounios, Mark Beeman","doi":"10.7771/1932-6246.1127","DOIUrl":"10.7771/1932-6246.1127","url":null,"abstract":"<p><p>Behavioral and neuroimaging findings indicate that distinct cognitive and neural processes underlie solving problems with sudden insight. Moreover, people with less focused attention sometimes perform better on tests of insight and creative problem solving. However, it remains unclear whether different states of attention, within individuals, influence the likelihood of solving problems with insight or with analysis. In this experiment, participants (N = 40) performed a baseline block of verbal problems, then performed one of two visual tasks, each emphasizing a distinct aspect of visual attention, followed by a second block of verbal problems to assess change in performance. After participants engaged in a center-focused flanker task requiring relatively focused visual attention, they reported solving more verbal problems with analytic processing. In contrast, after participants engaged in a rapid object identification task requiring attention to broad space and weak associations, they reported solving more verbal problems with insight. These results suggest that general attention mechanisms influence both visual attention task performance and verbal problem solving.</p>","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"4 2","pages":"94-115"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3897204/pdf/nihms-503985.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"32057300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Optimal Stopping Problems: The Seller’s Perspective","authors":"Mehdi Hemmati, J. C. Smith","doi":"10.7771/1932-6246.1092","DOIUrl":"https://doi.org/10.7771/1932-6246.1092","url":null,"abstract":"We consider a version of an optimal stopping problem, in which a customer is presented with a finite set of items, one by one. The customer is aware of the number of items in the finite set and the minimum and maximum possible value of each item, and must purchase exactly one item. When an item is presented to the customer, she or he observes its value, and determines whether to purchase the item or to permanently dismiss the item. The customer’s objective is to maximize the value of the purchased item. In this paper, we consider the problem from the perspective of the seller, who wishes to maximize profit associated with the sold item. Hence, the seller seeks an optimal sequence of items to sell, given that the customer acts according to some near-optimal decision-making rules. Our paper takes the perspective that the customer may not act optimally due to imperfect decision-making strategies and/or to the seller’s uncertainty in the items’ values to the customer. We consider max-min and max-expectation objectives when customer behavior is not completely predictable, and discuss the problem tractability in these cases.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84444467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Human Performance on Insight Problem Solving: A Review","authors":"Yun Chu, J. MacGregor","doi":"10.7771/1932-6246.1094","DOIUrl":"https://doi.org/10.7771/1932-6246.1094","url":null,"abstract":"The article provides a review of recent research on insight problem-solving performance. We discuss what insight problems are, the different types of classic and newer insight problems, and how we can classify them. We also explain some of the other aspects that affect insight performance, such as hints, analogs, training, thinking aloud, and individual differences. In addition, we describe some of the main theoretical explanations that have been offered. Finally, we present some measures of insight and relevant neuroscience contributions to the area over the last decade.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82514669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Human Performance on the Traveling Salesman and Related Problems: A Review","authors":"J. MacGregor, Yun Chu","doi":"10.7771/1932-6246.1090","DOIUrl":"https://doi.org/10.7771/1932-6246.1090","url":null,"abstract":"The article provides a review of recent research on human performance on the traveling salesman problem (TSP) and related combinatorial optimization problems. We discuss what combinatorial optimization problems are, why they are important, and why they may be of interest to cognitive scientists. We next describe the main characteristics of human performance on the TSP and related problems, and discuss the main theoreti- cal explanations that have been offered. We then review some related developments in animal studies, spatial cognition, and neuropsychology. The article closes with a brief look at possible future directions.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87593267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quality, Conformity, and Conflict: Questioning the Assumptions of Osborn’s Brainstorming Technique","authors":"Olga Goldenberg, J. Wiley","doi":"10.7771/1932-6246.1093","DOIUrl":"https://doi.org/10.7771/1932-6246.1093","url":null,"abstract":"Divergent thinking tasks are a popular basis for research on group creative problem solving, or brainstorming. The brainstorming literature has been dominated by research that investigates group performance by measuring the total number of generated ideas using the original rules put forth by Osborn (1953). This review of empirical literature on brainstorming suggests that Osborn was right about many but not all of his intuitions. It discusses the potential advantages of cognitive stimulation, and potential disadvantages of conformity or fixation, due to exposure to others’ ideas. Further, although Osborn recommended “withholding criticism,” the potential advantages of conflict in interacting problem-solving groups are also discussed. In addition, this review suggests that incorporating performance measures of idea quality, in addition to the ubiquitous measures of idea quantity, can provide useful and unique insights into group brainstorming.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82551253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"What Does (and Doesn’t) Make Analogical Problem Solving Easy? A Complexity-Theoretic Perspective","authors":"T. Wareham, Patricia A. Evans, I. Rooij","doi":"10.7771/1932-6246.1091","DOIUrl":"https://doi.org/10.7771/1932-6246.1091","url":null,"abstract":"Solving new problems can be made easier if one can build on experiences with other\u0000problems one has already successfully solved. The ability to exploit earlier problem-solving\u0000experiences in solving new problems seems to require several cognitive sub-abilities.\u0000Minimally, one needs to be able to retrieve relevant knowledge of earlier solved problems\u0000and their solutions (solved-exemplar retrieval), to determine whether or not a retrieved\u0000problem is sufficient analogous to the problem at hand (analogy derivation), and to infer how the solution-method used for the old problem can be used for the new problem (candidate inference projection). All three processes have successfully been modeled under the framework of Structure-Mapping Theory (SMT). It has long been known that analogy derivation under SMT is computationally intractable, meaning that all (exact) algorithms implementing this ability run impractically long. In this paper we show that the same holds for the other two sub-processes. In sharp contrast to this theoretical intractability, empirical research reveals that in certain situations humans can quickly\u0000retrieve appropriate problem-exemplars and quickly make goal-relevant candidate inference\u0000projections. How can this speed of processing be explained within the framework of SMT? We consider several possible explanations, both existing and new, and assess their explanatory validity by performing computational-level complexity analyses. Our analyses not only reveal that explanations that have been conjectured to date are incomplete but also identify a set of complete explanations that can guide future empirical research on analogical problem solving.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"229 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79693027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Y. Haxhimusa, Edward K. Carpenter, J. Catrambone, David Foldes, Emil Stefanov, Laura L. Arns, Z. Pizlo
{"title":"2D and 3D Traveling Salesman Problem","authors":"Y. Haxhimusa, Edward K. Carpenter, J. Catrambone, David Foldes, Emil Stefanov, Laura L. Arns, Z. Pizlo","doi":"10.7771/1932-6246.1096","DOIUrl":"https://doi.org/10.7771/1932-6246.1096","url":null,"abstract":"When a two-dimensional (2D) traveling salesman problem (TSP) is presented on a com- puter screen, human subjects can produce near-optimal tours in linear time. In this study we tested human performance on a real and virtual floor, as well as in a three- dimensional (3D) virtual space. Human performance on the real floor is as good as that on a computer screen. Performance on a virtual floor is very similar, while that in a 3D space is slightly but systematically worse. We modeled these results by a graph pyramid algorithm. The same algorithm can account for the results with 2D and 3D problems, which suggests that deterioration of performance in the 3D space can be attributed to geometrical relations between hierarchical clustering in a 3D space and coarse-to-fine production of a tour.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2011-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78238070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sharlene D. Newman, B. Pruce, Akash Rusia, Thomas Burns
{"title":"The Effect of Strategy on Problem Solving: An fMRI Study","authors":"Sharlene D. Newman, B. Pruce, Akash Rusia, Thomas Burns","doi":"10.7771/1932-6246.1076","DOIUrl":"https://doi.org/10.7771/1932-6246.1076","url":null,"abstract":"fMRI was used to examine the differential effect of two problem-solving strategies. Par- ticipants were trained to use both a pictorial/spatial and a symbolic/algebraic strategy to solve word problems. While these two strategies activated similar cortical regions, a number of differences were noted in the level of activation. These differences indicate that the algebraic strategy is more demanding than the spatial strategy, which was particularly true for the anterior insula and the parietal cortices. In addition, an exploratory analysis was performed that examined effects of strategy preference. These results revealed that participants who preferred the algebraic strategy, while having a similar mathematics background, elicited less activation and had higher working memory capacity (as mea- sured by the reading span task) than those participants who preferred the spatial strat- egy. These data have implications for fMRI, as well as behavioral studies of higher-order cognition—the use of different strategies by participants within one study could alter the final results and, therefore, the conclusions drawn.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2010-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85817860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}