{"title":"Rewarding Multitasking: Negative Effects of an Incentive on Problem Solving under Divided Attention","authors":"Mareike Wieth, B. Burns","doi":"10.7771/1932-6246.1163","DOIUrl":"https://doi.org/10.7771/1932-6246.1163","url":null,"abstract":"Research has consistently shown negative effects of multitasking on tasks such as problem solving. This study was designed to investigate the impact of an incentive when solving problems in a multitasking situation. Incentives have generally been shown to increase problem solving (e.g., Wieth and Burns, 2006), however, it is unclear whether an incentive can increase problem solving while attentional resources are divided. Participants were either given an incentive or not and asked to complete incremental and insight problems while either in a dual-task or single task condition. After solving the problems participants were given a surprise memory test. Results showed that the incentive only led to increases in problem solving in the single task condition but not the dual-task condition. Furthermore, results showed that an incentive in the dual-task condition led to an increase in recall of irrelevant information. These findings indicate that an incentive cannot ameliorate the detrimental effects of multitasking when problem solving and may even lead to an increase in irrelevant information processing.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86275476","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":"Activation of Operational Thinking During Arithmetic Practice Hinders Learning And Transfer","authors":"Dana L. Chesney, Nicole M. McNeil","doi":"10.7771/1932-6246.1165","DOIUrl":"https://doi.org/10.7771/1932-6246.1165","url":null,"abstract":"Many children in the U.S. initially come to understand the equal sign operationally, as a symbol meaning “add up the numbers” rather than relationally, as an indication that the two sides of an equation share a common value. According to a change-resistance account (McNeil & Alibali, 2005), children's operational ways of thinking are never erased, and when activated, can interfere with mathematics learning and performance, even in educated adults. To test this theory, undergraduates practiced unfamiliar multiplication facts (e.g., 17-times table) in one of three conditions that differed in terms of how the equal sign was represented in the problems. In the operational words condition, the equal sign was replaced by operational words (e.g., \"multiplies to\"). In the relational words condition, the equal sign was replaced by relational words (e.g., \"is equivalent to\"). In the control condition, the equal sign was used in all problems. The hypothesis was that undergraduates' fluency with practiced facts and transfer problems would be hindered in the operational words condition compared to the other conditions. Results supported this hypothesis, indicating that the activation of operational thinking is indeed detrimental to learning and transfer, even in educated adults.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91134128","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":"Effects of Cover Stories on Problem Solving in a Statistics Course","authors":"T. R. Ricks, J. Wiley","doi":"10.7771/1932-6246.1162","DOIUrl":"https://doi.org/10.7771/1932-6246.1162","url":null,"abstract":"Does having more knowledge or interest in the topics used in example problems facilitate or hinder learning in statistics? Undergraduates enrolled in Introductory Psychology received a lesson on central tendency. Following the lesson, half of the students completed a worksheet with a baseball cover story while the other half received a weather cover story. Learning was assessed using a quiz that contained two kinds of items: computation and explanation. Measures of baseball knowledge and interest in baseball were collected. The results indicated that overall the students performed better on computation items than explanation items. The weather example led to better performance on the explanation items than the baseball example. No differences were seen in performance on the quiz as a function of gender, prior knowledge, or interest. If anything, the results indicated that interest in baseball seemed to hinder learning in the baseball condition. Possible reasons for differences in performance due to the cover story are discussed. Corresponding Author: Travis Rex Ricks, Bemidji State University. Email: travisr.ricks@gmail.com","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88955645","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 Are the Odds? A Practical Guide to Computing and Reporting Bayes Factors","authors":"A. Jarosz, J. Wiley","doi":"10.7771/1932-6246.1167","DOIUrl":"https://doi.org/10.7771/1932-6246.1167","url":null,"abstract":"The purpose of this paper is to provide an easy template for the inclusion of the Bayes factor in reporting experimental results, particularly as a recommendation for articles in the Journal of Problem Solving. The Bayes factor provides information with a similar purpose to the p-value – to allow the researcher to make statistical inferences from data provided by experiments. While the p-value is widely used, the Bayes factor provides several advantages, particularly in that it allows the researcher to make a statement about the alternative hypothesis, rather than just the null hypothesis. In addition, it provides a clearer estimate of the amount of evidence present in the data. Building on previous work by authors such as Wagenmakers (2007), Rouder et al. (2009), and Masson (2011), this article provides a short introduction to Bayes factors, before providing a practical guide to their computation using examples from published work on problem solving.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86036993","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}
Abbey M Loehr, Emily R. Fyfe, Bethany Rittle-Johnson
{"title":"Wait for it . . . Delaying Instruction Improves Mathematics Problem Solving: A Classroom Study","authors":"Abbey M Loehr, Emily R. Fyfe, Bethany Rittle-Johnson","doi":"10.7771/1932-6246.1166","DOIUrl":"https://doi.org/10.7771/1932-6246.1166","url":null,"abstract":"Engaging learners in exploratory problem-solving activities prior to receiving instruction (i.e., explore-instruct approach) has been endorsed as an effective learning approach. However, it remains unclear whether this approach is feasible for elementary-school children in a classroom context. In two experiments, second-graders solved mathematical equivalence problems either before or after receiving brief conceptual instruction. In Experiment 1 (n = 41), the explore-instruct approach was less effective at supporting learning than an instruct-solve approach. However, it did not include a common, but often overlooked feature of an explore-instruct approach, which is provision of a knowledge-application activity after instruction. In Experiment 2 (n = 47), we included a knowledge-application activity by having all children check their answers on previously solved problems. The explore-instruct approach in this experiment led to superior learning than an instruct-solve approach. Findings suggest promise for an explore-instruct approach, provided learners have the opportunity to apply knowledge from instruction. Correspondence: Abbey Marie Loehr, 230 Appleton Place, Peabody #552, Vanderbilt University, Nashville, TN 37203; Phone: (615) 343-7149. Email: abbey.loehr@vanderbilt.edu","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"12 4-5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.7771/1932-6246.1166","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72494428","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":"Enclothed Cognition and Controlled Attention during Insight Problem-Solving","authors":"C. V. Stockum, Marci S. DeCaro","doi":"10.7771/1932-6246.1164","DOIUrl":"https://doi.org/10.7771/1932-6246.1164","url":null,"abstract":"Individual differences in working memory capacity (WMC) increase the ability, and tendency, to devote greater attentional control to a task—improving performance on a wide range of skills. In addition, recent research on enclothed cognition demonstrates that the situational influence of wearing a white lab coat increases controlled attention, due to the symbolic meaning and physical experience of wearing the coat. We examined whether these positive influences on attentional control lead to negative performance outcomes on insight problem-solving, a task thought to rely on associative processes that operate largely outside of explicit attentional control. Participants completed matchstick arithmetic problems while either wearing a white lab coat or in a no-coat control condition. Higher WMC was associated with lower insight problem-solving accuracy in the no-coat condition. In the coat condition, the insight problem-solving accuracy of lower WMC individuals dropped to the level of those higher in WMC. These results indicate that wearing a white lab coat led individuals to increase attentional control towards problem solving, hindering even lower WMC individuals from engaging in more diffuse, associative problem-solving processes, at which they otherwise excel. Trait and state factors known to increase controlled attention and improve performance on more attention-demanding tasks interact to hinder insight problem-solving.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86612831","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":"Fast and Efficient Discrimination of Traveling Salesperson Problem Stimulus Difficulty","authors":"M. Dry, E. L. Fontaine","doi":"10.7771/1932-6246.1160","DOIUrl":"https://doi.org/10.7771/1932-6246.1160","url":null,"abstract":"The Traveling Salesperson Problem (TSP) is a computationally difficult combinatorial optimization problem. In spite of its relative difficulty, human solvers are able to generate close-to-optimal solutions in a close-to-linear time frame, and it has been suggested that this is due to the visual system’s inherent sensitivity to certain geometric properties of TSP stimuli. In the current study we employed a novel experimental paradigm in which we presented participants with sets of four TSP stimuli that varied in terms of their relative solution difficulty and asked them to indicate which of the four stimuli they would prefer to solve. The results indicated that the participants’ choice frequencies followed the same ordering as the stimuli’s empirical solution difficulty; that is, easy-to-solve stimuli were chosen with a higher frequency than hard-to-solve stimuli. It is suggested that these results provide further evidence of the speed and efficiency of human processing of TSPs, and provide further evidence implicating the role of rapid visuo-perceptual organization in generating TSP solutions. An analysis of the geometric properties of the stimuli uncovered a number of factors that may have influenced the choice preferences of participants in the current experiment, and the performance quality of participants in previous experiments. Correspondence: Matthew J. Dry. Phone: +618 8313 3856; E-mail: matthew.dry@adelaide.edu.au","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88453060","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}
Julie L. Booth, C. Barbieri, Francie Eyer, E. Paré-Blagoev
{"title":"Persistent and Pernicious Errors in Algebraic Problem Solving","authors":"Julie L. Booth, C. Barbieri, Francie Eyer, E. Paré-Blagoev","doi":"10.7771/1932-6246.1161","DOIUrl":"https://doi.org/10.7771/1932-6246.1161","url":null,"abstract":"Students hold many misconceptions as they transition from arithmetic to algebraic thinking, and these misconceptions can hinder their performance and learning in the subject. To identify the errors in Algebra I which are most persistent and pernicious in terms of predicting student difficulty on standardized test items, the present study assessed algebraic misconceptions using an in-depth error analysis on algebra students’ problem solving efforts at different points in the school year. Results indicate that different types of errors become more prominent with different content at different points in the year, and that there are certain types of errors that, when made during different levels of content are indicative of math achievement difficulties. Recommendations for the necessity and timing of intervention on particular errors are discussed.","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87200722","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":"Editor's Introduction","authors":"J. Wiley","doi":"10.7771/1932-6246.1171","DOIUrl":"https://doi.org/10.7771/1932-6246.1171","url":null,"abstract":"","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"137 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80264547","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":"Solving Large Problems with a Small Working Memory","authors":"Z. Pizlo, Emil Stefanov","doi":"10.7771/1932-6246.1155","DOIUrl":"https://doi.org/10.7771/1932-6246.1155","url":null,"abstract":"We describe an important elaboration of our multiscale/multiresolution model for solving the Traveling Salesman Problem (TSP). Our previous model emulated the non-uniform distribution of receptors on the human retina and the shifts of visual attention. This model produced nearoptimal solutions of TSP in linear time by performing hierarchical clustering followed by a sequence of coarse-to-fine approximations of the tour. Linear time complexity was related to the minimal amount of search performed by the model, which posed minimal requirements on the size of the working memory. The new model implements the small working memory requirement. The model only stores information about as few as 2–5 clusters at any one time in the solution process. This requirement matches the known capacity of human working memory. We conclude by speculating that this model provides a possible explanation of how the human mind can effectively deal with very large search spaces. Correspondence: Zygmunt Pizlo, Department of Psychological Sciences, Purdue University, West Lafayette, IN 47907-2081; Phone: (765) 494-6930. Email: pizlo@psych.purdue.edu","PeriodicalId":90070,"journal":{"name":"The journal of problem solving","volume":"68 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89489124","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}