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A multidimensional scaling approach to mental multiplication   总被引:5,自引:0,他引:5  
Adults consistently make errors in solving simple multiplication problems. These errors have been explained with reference to the interference between similar problems. In this paper, we apply multidimensional scaling (MDS) to the domain of multiplication problems, to uncover their underlying similarity structure. A tree-sorting task was used to obtain perceived dissimilarity ratings. The derived representation shows greater similarity between problems containing larger operands and suggests that tie problems (e.g., 7 x 7) hold special status. A version of the generalized context model (Nosofsky, 1986) was used to explore the derived MDS solution. The similarity of multiplication problems made an important contribution to producing a model consistent with human performance, as did the frequency with which such problems arise in textbooks, suggesting that both factors may be involved in the explanation of errors.  相似文献   

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The present study assessed the application of a multidimensional model of motivation and engagement (the Motivation and Engagement Wheel) and its accompanying instrumentation (the Motivation and Engagement Scale) to the music and sport domains. Participants were 463 young classical musicians (N=224) and sportspeople (N=239). In both music and sport samples, the data confirmed the good fit of the four hypothesized higher-order dimensions and their 11 first-order dimensions: adaptive cognitions (self-efficacy, valuing, mastery orientation), adaptive behaviors (planning, task management, persistence), impeding/maladaptive cognitions (uncertain control, anxiety, failure avoidance), and maladaptive behaviors (self-handicapping, disengagement). Multigroup tests of factor invariance showed that in terms of underlying motivational constructs and the composition of and relationships among these constructs, key subsamples are not substantially different. Moreover-and of particular relevance to issues around the generalizability of the framework-the factor structure for music and sport samples was predominantly invariant.  相似文献   

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The perceptual-cognitive information used to support pattern-recognition skill in soccer was examined. In experiment 1, skilled players were quicker and more accurate than less-skilled players at recognising familiar and unfamiliar soccer action sequences presented on film. In experiment 2, these action sequences were converted into point-light displays, with superficial display features removed and the positions of players and the relational information between them made more salient. Skilled players were more accurate than less-skilled players in recognising sequences presented in point-light form, implying that each pattern of play can be defined by the unique relations between players. In experiment 3, various offensive and defensive players were occluded for the duration of each trial in an attempt to identify the most important sources of information underpinning successful performance. A decrease in response accuracy was observed under occluded compared with non-occluded conditions and the expertise effect was no longer observed. The relational information between certain key players, team-mates and their defensive counterparts may provide the essential information for effective pattern-recognition skill in soccer. Structural feature analysis, temporal phase relations, and knowledge-based information are effectively integrated to facilitate pattern recognition in dynamic sport tasks.  相似文献   

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Experiments in golf putting and darts demonstrated that skilled performance is streaky. The tendency for outcome sequences to form streaks was greatest when the task difficulty was such that about half the trials were successful. Mixtures of the two activities were also streaky, even when periodic interruption made the individual components resemble a random Bernoulli process. Formal models of sequence structure revealed that waves in hit rate are associated with the appearance of streaks.  相似文献   

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Abstract

Two studies were conducted to examine the relation between catastrophizing and pain in sport participants. Study 1 compared the factor structure of the Pain Catastrophizing Scale (PCS; Sullivan et al., 1995) in a sample of 97 individuals who reported engaging in regular sporting activity and 140 sedentary individuals. Confirmatory factor analysis revealed that, in both sport and sedentary samples, a three factor solution, comprising rumination, magnification, and helplessness provided the best fit to the data. Study 2 examined differences in pain perception in 54 (28 women, 26 men) varsity athletes and 54 (27 women, 27 men) sedentary controls who participated in an experimental pain procedure. Participants completed the PCS prior to immersing one arm in ice water for one minute. Athletes reported less pain than sedentary individuals, and men reported less pain than women. For both athlete and sedentary groups, catastrophizing was a significant predictor of pain experience. Regression analyses revealed that although catastrophizing accounted for differences in pain perception between men and women  相似文献   

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The issue of irreversible decrements versus developmental plasticity with aging was explored for skilled language users. Fifteen English teachers (22 to 31 years of age) and 15 retired English teachers (50 to 83 years of age) were tested for language memory, using a 2 X 2 X 2 (Recall vs. Recognition X Meaningful vs. Nonmeaningful X Incidental vs. Intentional) design, and for overall grammar-skill memory, using speed and error measures. On the language-memory test, experimental variables (but not the age variable) were related to performance. On the grammar-skill test, the older subjects showed longer completion times but no decrements in accuracy. The results provided support for developmental plasticity in language memory and suggested an optimistic view of memory for skilled content areas.  相似文献   

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ObjectivesSerial performance evaluations show calibration effects: Judges avoid extreme categories in the beginning (e.g. best or worst) because they need to calibrate an internal judgment scale (Unkelbach et al., 2012). Successful calibration is therefore important for fair and unbiased evaluations. A central prerequisite for successful calibration is knowledge about the performance range. The present study tests whether advance knowledge about the range (best and worst) of performances in a series reduces calibration effects.DesignA 2 × 2 × 2 design was developed with two between subject factors: the knowledge about the performance range (with vs. without) and two different talent tests (specific vs. unspecific). As within subject factor the position of the performances in the series (position 1–10 vs. 11–20) was integrated. The combination of the between subject factors resulted in four experimental conditions.MethodHandball coaches were randomly assigned to one of the conditions. Afterwards twenty performances were evaluated in a randomized order by the coaches.ResultsWithout knowledge about the range, they showed the expected avoidance of extreme categories in the beginning independent of the presented talent test. However, observing the best and worst performance in advance prevented the biases. Range-presentation is therefore a viable theory-based intervention to improve fairness in serial judgments.  相似文献   

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ObjectivesTo test a performance-attainment model derived from the Dualistic Model of Passion [Vallerand et al. (2003). Les passions de l’âme: On obsessive and harmonious passion. Journal of Personality and Social Psychology, 85, 756–767] that posits that both harmonious and obsessive passions are positive predictors of deliberate practice that, in turn, is a positive predictor of performance.DesignA prospective design was used in the present study.Methods and resultsThe basic model was tested in two studies using structural equation modeling. Results from Study 1 with 184 high school basketball players indicated that both harmonious and obsessive passions were positive predictors of deliberate practice, which, in turn, was a positive predictor of objective performance. The results of Study 2, conducted with 67 synchronized swimming and water-polo athletes conceptually replicated those from Study 1. Furthermore, results differentially linked the two passions to achievement goals and subjective well-being (SWB). Specifically, harmonious passion was a positive predictor of mastery goal pursuit and SWB, whereas obsessive passion was a positive predictor of mastery, performance-approach, and performance-avoidance goal pursuit and was unrelated to SWB. Mastery goals were positive predictors of deliberate practice, which was a direct positive predictor of performance, whereas performance-avoidance goals were direct negative predictors of performance.ConclusionsIt appears that there are two paths to high-level performance attainment in sport, depending if harmonious or obsessive passion underlies sport engagement. While the path from harmonious passion is conducive to high levels of performance and living a happy life, that from obsessive passion is less reliably related to performance attainment and is unrelated to happiness.  相似文献   

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The effects of deletion of certain components of a dotted triangle are studied, using a masking technique. Masking interference is achieved by varying the density of randomly placed dots within which stimulus triangles must be detected. The results of the study indicate that deletion of the dots composing the corners of the triangles decreases performance no more than deletion of an equivalent number of randomly chosen dots. However, the detectability of the line of dots composing the sides is functionally related to the recognition of the orientation of the triangle. The results suggest that the relationship of the parts of such a stimulus figure may be more important than the specific parts themselves.  相似文献   

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Psychonomic Bulletin & Review - The ear and brain interact in an orchestrated manner to create sensations of phantom tones that are audible to listeners despite lacking physical presence in...  相似文献   

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ObjectivesThe present paper examined the roles of achievement orientation, perception of the motivational climate, and perceived ability on performance trait anxiety in a sample of national level elite athletes. Gender differences in these relationships were also examined.DesignCross-sectional.MethodsOne hundred and ninety national elite athletes (male, n=101 and female, n=89) from individual sport completed Norwegian measures of goal orientation, perceived motivational climate, perceived ability, and multidimensional performance anxiety.ResultsFemale and male national elite athletes were similar in achievement orientations and had similar perceptions of the motivational climate. Females reported higher levels of performance worry, concentration disruption and somatic anxiety than males. Orientations did not predict performance anxiety for either gender, however perceptions of a performance climate predicted performance worry for both genders, and concentration disruption for females. Perceived ability predicted less performance worry for females and males. Perceived ability did not moderate the effects of the perceived motivational climate on performance anxiety, and neither did the results meet the criteria for testing mediation.ConclusionsThe extant motivational climate has an effect on performance anxiety, and coaches would be well advised to consider this when working with national elite athletes.  相似文献   

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This article examines decision processes in the perception and categorization of stimuli constructed from one or more components. First, a general perceptual theory is used to formally characterize large classes of existing decision models according to the type of decision boundary they predict in a multidimensional perceptual space. A new experimental paradigm is developed that makes it possible to accurately estimate a subject's decision boundary in a categorization task. Three experiments using this paradigm are reported. Three conclusions stand out: (a) Subjects adopted deterministic decision rules, that is, for a given location in the perceptual space, most subjects always gave the same response; (b) subjects used decision rules that were nearly optimal; and (c) the only constraint on the type of decision bound that subjects used was the amount of cognitive capacity it required to implement. Subjects were not constrained to make independent decisions on each component or to attend to the distance to each prototype.  相似文献   

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