PUPILS' SELF-SCORED ARITHMETIC PERFORMANCE: A PRACTICAL PROCEDURE FOR MAINTAINING ACCURACY1

Scoring of student performance is often costly in teacher time. Self-rating may be a practical alternative, if ratings are accurate. Some conditions affecting self-rating accuracy were examined in two special-education classes in two experiments. The first assessed the separate effects of submitting self-ratings to the teacher and token reinforcement for those ratings. Actual and self-rated performance during daily 20-minute arithmetic assignments were observed in a class of four boys with an average age of 10 years, four months. Subjects answered assignments in pen for later detection of falsified answers. At the end of the session, correct answers were projected and papers self-scored in pencil. During class dismissal, the experimenter surreptitiously scored actual performance. Three experimental conditions were introduced in an A B C B A design. During A, subjects self-rated but submitted no report, nor received token reinforcement. During B, self-ratings were reported to the teacher on a folded slip of paper, without reinforcement. During C, points were awarded for self-reported scores based on changes in individual performance from the prior condition and later exchanged for prizes. Subjects self-rated accurately during A, with little change during B. However, awarding points for self-reported scores in C, produced highly exaggerated performance. There was little change in correct arithmetic performance throughout the experiment. The second experiment examined a low-cost procedure to produce and maintain a low level of exaggeration in a class of 17 boys with an average age of 15 years, three months. Continuous, then intermittent checks on the accuracy of self-rated arithmetic performance were assessed in a multiple-baseline design across groups of subjects. Following a condition where subjects' self-reported performance was reinforced as in the first experiment, the self-rating accuracy of all subjects was checked publicly and a penalty applied for inaccuracies or bonus points for accuracies (Maximum Checks). During Minimum Checks, the self-rating accuracy of one randomly selected subject was checked. The reduction in checking frequency was gradual for one group and abrupt for the other. When self-reports were reinforced, 13 of the 17 pupils submitted ratings discrepant with actual arithmetic performance by more than two problems per session. Maximum Checks reduced discrepancies below two problems per session for 15 of the 17 pupils. This same low level of exaggeration was maintained during Minimum Checks for 14 of the 17 pupils. Correct arithmetic performance showed no systematic change. Teachers reported that self-rating resulted in time savings over their usual methods of scoring. The results indicated that pupils exaggerate when rewarded for self-ratings. Exaggeration was reduced and maintained at low levels by infrequent accuracy checks.     

Expectations About Initial Interaction An Examination of the Effects of Global Uncertainty

This inquiry extended uncertainty reduction theory to include actors’ uncertainty about acquaintanceship in general (global uncertainty). Study 1 involved examination of the self-reports of 139 female and 85 male participants. Results of the analysis showed that participants high in global uncertainty define initial interaction in comparatively negative ways, more frequently attempt to avoid conversations with unfamiliar targets, perform less effectively when meeting others for the first time, and develop less satisfactory long-term relationships than persons low in global uncertainty. Global uncertainty also combined with participants’ sense of the self-assuredness-awkwardness of first encounters to predict initial interaction performance. Study 2 examined the conversational performance of 48 females and 28 males who had participated in the first investigation. This analysis revealed that, during the first minute of interaction, persons high in global uncertainty engaged in comparatively low levels of question asking but relatively high levels of disclosure. High globally uncertain participants were also rated less competent by their partners than were persons low in global uncertainty. Study 3 explored the relationship between global uncertainty, communication competence, and communication apprehension. Examination of the self-reports of 63 females and 49 males showed that persons high in global uncertainty are apprehensive when meeting strangers and enact acquaintanceship episodes relatively inexpertly, although the magnitude of correlations between the constructs provide strong evidence that global uncertainty is distinguishable from both competence and apprehension. The implications of these findings are discussed.     

Conceptual Knowledge,Procedural Knowledge,and Metacognition in Routine and Nonroutine Problem Solving

When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of doubt, mediate interactions between procedural and conceptual knowledge. To test these hypotheses, in two studies (Ns = 64 and 138), university students solved fraction and decimal arithmetic problems while thinking aloud; verbal protocols and written work were coded for overt uses of conceptual knowledge and displays of doubt. Consistent with the hypotheses, use of conceptual knowledge during calculation was not significantly positively associated with accuracy, but was positively associated with displays of doubt, which were negatively associated with accuracy. In Study 1, participants also explained solutions to rational arithmetic problems; using conceptual knowledge in this context was positively correlated with calculation accuracy, but only among participants who did not use conceptual knowledge during calculation, suggesting that the correlation did not reflect “online” effects of using conceptual knowledge. In Study 2, participants also completed a nonroutine problem-solving task; displays of doubt on this task were positively associated with accuracy, suggesting that metacognitive processes play different roles when solving routine and nonroutine problems. We discuss implications of the results regarding interactions between procedural knowledge, conceptual knowledge, and metacognitive processes in math problem solving.     

The influence of personality and anxiety on the oral performance of Japanese speakers of English

This study investigated the relationship between personality and anxiety characteristics of Japanese students and their oral performance in English. The participants were 73 native‐speakers of Japanese who were studying English at various language schools in New Zealand. They were administered the Maudsley Personality Inventory, the Spielberger State Anxiety Inventory, and a story‐retelling task which was scored in terms of oral fluency, accuracy, complexity, and global impression. Significant correlations were found between extraversion and global impression scores, and state anxiety and clause accuracy scores. These findings suggest that participants who were more extraverted produced better global impressions during their oral performance, and those who were experiencing higher levels of state anxiety made more errors in their spoken use of clauses. Copyright © 2004 John Wiley & Sons, Ltd.     

A Preliminary Investigation of the Relationship Between Fluency and Application for Multiplication

Research suggests component skill performance has a strong positive relationship with composite skill performance. This study examined the association between accuracy and fluency for the component-composite relationship within multiplication. One hundred and fifty-seven fifth-graders did one-minute assessments for single-digit, and multi-digit multiplication problems. The results demonstrated the students achieved high levels of accuracy but low levels of fluency. Strong correlations between the component-composite skill fluency suggest that fluent component skills may have a significant role in composite skill performance. Moderate/low correlations between component and composite skill accuracy indicate that more than one skill component may contribute to composite skill acquisition.     

Mathematics anxiety and mental arithmetic performance: An exploratory investigation

Abstract

Two exploratory studies were conducted to determine if mathematics anxiety, as assessed by the Mathematics Anxiety Rating Scale (MARS), is related to the underlying mental processes of arithmetic performance. MARS scores were higher when the test was administered by computer, vs. the standard paper-and-pencil format, and were higher for female than male college students. Small but significant processing differences in simple addition and multiplication were found when subjects were divided by quartiles into anxiety groups. Much larger differences in processing speed and accuracy were found with complex addition problems and a set of difficult problems (e.g. 9 × 16 = 134, true or false) that tested all four arithmetic operations. Overall, the low anxiety group was consistently the most rapid and accurate, the medium high was consistently the slowest, and the high anxiety group the most prone to errors. The results suggest that genuine performance differences exist among the several levels of mathematics anxiety, and that chronometric, reaction time-based studies of such performance will be useful in revealing those differences.     

Recognition instructions and recognition practice can alter the confidence--response time relationship

Three face-recognition experiments examined how instructions for a recognition test (e.g., emphasize speed or emphasize accuracy) can impact the confidence-response time relationship for episodic memory reports. In all 3 experiments, the confidence-response time correlation was smaller when participants were told to speed up their responding rate, which suggests that participants in these conditions relied less on the artificially compressed response times in forming their confidence judgments than they would under "normal" circumstances. Also, recognition practice before the final memory test eliminated the effect of the recognition instruction manipulation. These results support J. S. Shaw's (1996) suggestion that witnesses rely in part on the fluency of their memory reports when generating confidence judgments, and these findings have important implications for understanding the relationships among witness confidence, accuracy, and response time.     

Unconscious reward cues increase invested effort,but do not change speed–accuracy tradeoffs

While both conscious and unconscious reward cues enhance effort to work on a task, previous research also suggests that conscious rewards may additionally affect speed–accuracy tradeoffs. Based on this idea, two experiments explored whether reward cues that are presented above (supraliminal) or below (subliminal) the threshold of conscious awareness affect such tradeoffs differently. In a speed–accuracy paradigm, participants had to solve an arithmetic problem to attain a supraliminally or subliminally presented high-value or low-value coin. Subliminal high (vs. low) rewards made participants more eager (i.e., faster, but equally accurate). In contrast, supraliminal high (vs. low) rewards caused participants to become more cautious (i.e., slower, but more accurate). However, the effects of supraliminal rewards mimicked those of subliminal rewards when the tendency to make speed–accuracy tradeoffs was reduced. These findings suggest that reward cues initially boost effort regardless of whether or not people are aware of them, but affect speed–accuracy tradeoffs only when the reward information is accessible to consciousness.     

Metacognition for strategy selection during arithmetic problem-solving in young and older adults

We examined participants’ strategy choices and metacognitive judgments during arithmetic problem-solving. Metacognitive judgments were collected either prospectively or retrospectively. We tested whether metacognitive judgments are related to strategy choices on the current problems and on the immediately following problems, and age-related differences in relations between metacognition and strategy choices. Data showed that both young and older adults were able to make accurate retrospective, but not prospective, judgments. Moreover, the accuracy of retrospective judgments was comparable in young and older adults when participants had to select and execute the better strategy. Metacognitive accuracy was even higher in older adults when participants had to only select the better strategy. Finally, low-confidence judgments on current items were more frequently followed by better strategy selection on immediately succeeding items than high-confidence judgments in both young and older adults. Implications of these findings to further our understanding of age-related differences and similarities in adults’ metacognitive monitoring and metacognitive regulation for strategy selection in the context of arithmetic problem solving are discussed.     

Effects of processing fluency on comparative performance judgments

Research has shown that performance predictions are biased by the impact of processing fluency. However, existing data are inconclusive with regard to comparative judgments of performance. In five experiments, participants in an easy condition gave more favorable comparative judgments than participants in a difficult condition. Participants judged their performance more favorably if they named colors of non-color words rather than non-matching color words (Experiment 1), if they had to generate six words of a category rather than 12 words (Experiment 2), if they had to run in place for 15 s rather than 2 min (Experiment 3), but the latter result holds only true if participants were not active in sports (Experiment 4). When 67% of the items in a recognition test were old words, participants thought that their recognition performance was better than when 33% of the items were old words, although recognition performance did not differ between groups (Experiment 5). We discuss this result in the light of recent theories about effects of processing fluency on judgments.     

Prototypes are attractive because they are easy on the mind

People tend to prefer highly prototypical stimuli--a phenomenon referred to as the beauty-in-averageness effect. A common explanation of this effect proposes that prototypicality signals mate value. Here we present three experiments testing whether prototypicality preference results from more general mechanisms-fluent processing of prototypes and preference for fluently processed stimuli. In two experiments, participants categorized and rated the attractiveness of random-dot patterns (Experiment 1) or common geometric patterns (Experiment 2) that varied in levels of prototypicality. In both experiments, prototypicality was a predictor of both fluency (categorization speed) and attractiveness. Critically, fluency mediated the effect of prototypicality on attractiveness, although some effect of prototypicality remained when fluency was controlled. The findings were the same whether or not participants explicitly considered the pattern's categorical membership, and whether or not categorization fluency was salient when they rated attractiveness. Experiment 3, using the psychophysiological technique of facial electromyography, confirmed that viewing abstract prototypes elicits quick positive affective reactions.     

Speed/accuracy decisions in task performance: Built-in trade-off or separate strategic concerns?

In four studies we show that participants’ regulatory focus influences speed/accuracy decisions in different tasks. According to regulatory focus theory (Higgins, 1997), promotion focus concerns with accomplishments and aspirations produce strategic eagerness whereas prevention focus concerns with safety and responsibilities produce strategic vigilance. Studies 1–3 show faster performance and less accuracy in simple drawing tasks for participants with a chronic or situationally induced promotion focus compared to participants with a prevention focus. These studies also show that as participants move closer to the goal of completing the task, speed increases and accuracy decreases for participants with a promotion focus, whereas speed decreases and accuracy increases for participants with a prevention focus. Study 4 basically replicates these results for situationally induced regulatory focus with a more complex proofreading task. The study found that a promotion focus led to faster proofreading compared to a prevention focus, whereas a prevention focus led to higher accuracy in finding more difficult errors than a promotion focus. Through speed and searching for easy errors, promotion focus participants maximized their proofreading performance. In all four studies, the speed effects were independent of the accuracy effects and vice versa. These results show that speed/accuracy (or quantity/quality) decisions are influenced by the strategic inclinations of participants varying in regulatory focus rather than by a built-in trade-off.     

语音回路和视空间模板对音位流畅性和语义流畅性的影响

采用双任务范式,通过四种次任务考察了工作记忆两个子系统－语音回路和视空间模板对音位流畅性和语义流畅性的影响。实验1表明,主动产生系列发音和被动聆听声音判断对音位流畅性影响更大,表明音位流畅性更依赖于语音回路。实验2表明,字形匹配和字形旋转判断对语义流畅性影响更大,表明语义流畅性更依赖于视空间模板。研究还表明,被试完成音位流畅性任务的策略更易受语言的特点影响,完成语义流畅性任务的策略更易受概念系统的特性影响     

Verbal self-reports about matching to sample: effects of the number of elements in a compound sample stimulus.

Adults' self-reports about their choices in a delayed matching-to-sample task were studied as a function of the number of elements (one, two, or three) in a compound sample stimulus. Signal-detection analyses were used to examine control of self-reports by the number of sample elements, by the speed and accuracy of choices reported about, and by several events contingent on self-reports. On each matching-to-sample trial, a sample element appeared as one of two comparison stimuli. Choice of the matching element, if made within 500 ms of the onset of the comparison stimuli, produced points worth money or chances in a drawing for money, depending on the subject. After each choice, subjects pressed either a "yes" or "no" button to answer a computer-generated query about whether the choice met the point contingency. The number of sample elements in the matching-to-sample task varied across trials, and events contingent on self-reports varied across experimental conditions. In Experiment 1, the conditions were defined by different combinations of feedback messages and point consequences contingent on self-reports, but self-reports were systematically influenced only by the sample-stimulus manipulation. Self-report errors increased with the number of sample elements. False alarms (inaccurate reports of success) were far more common than misses (inaccurate reports of failure), and false alarms were especially likely after choices that were correct but too slow to meet the point contingency. Sensitivity (A') of self-reports decreases as the number of sample elements increased. In addition, self-reports were more sensitive to choice accuracy than to choice speed. All subjects showed a pronounced bias (B'H) for reporting successful responses, although the bias was reduced as the number of sample elements increased and successful choices became less frequent. Experiment 2 demonstrated that the failure of point contingencies to influence self-reports in the first experiment was not due to a general ineffectiveness of the point consequences. Rates of inaccurate self-reports decreased when they resulted in point losses and increased when they resulted in point gains.     

Phonological and visual working memory in mental addition

The goal of the present research was to examine the role of working memory in mental arithmetic. Adults (n = 96) solved multidigit arithmetic problems (e.g., 52 + 3; 3 + 52) alone and in combination with either a phonological memory load (i.e., nonwords, such as gup) or a visual memory load (i.e., random pattern of asterisks). The participants solved problems presented in a vertical format significantly faster than problems presented in a horizontal format. They also solved double digit first problems (e.g., 52 + 3) more quickly than the reverse (e.g., 3 + 52), but only when the problems were presented horizontally. Performance was worse in the phonological load condition than in the visual load condition for the participants who solved problems presented horizontally, whereas performance was worse in the visual load condition than in the phonological load condition when problems were presented vertically. The present research provides evidence that both phonological and visual aspects of working memory are involved in mental arithmetic but that the role of each working memory component will depend on such factors as presentation format.     

词频和运动流畅性对学习判断的影响：多线索整合的视角

本研究探讨基于经验的运动流畅性和基于理论的词频对学习判断的影响以及二者可能存在的相互作用,探讨非分析性加工和分析性加工在元认知监测中的作用模式。结果显示：（1）运动流畅性和词频均会影响JOL;（2）运动流畅性对JOL的影响会因为词频的变化而改变,而在认知负荷条件下,词频对JOL的影响还会因为运动流畅性的变化而不同。研究结果支持JOL中的运动流畅性效应与词频效应,也表明分析性和非分析性加工在JOL中会共同发挥作用。     

词频和运动流畅性对学习判断的影响：多线索整合的视角

本研究探讨基于经验的运动流畅性和基于理论的词频对学习判断的影响以及二者可能存在的相互作用,探讨非分析性加工和分析性加工在元认知监测中的作用模式。结果显示：（1）运动流畅性和词频均会影响JOL;（2）运动流畅性对JOL的影响会因为词频的变化而改变,而在认知负荷条件下,词频对JOL的影响还会因为运动流畅性的变化而不同。研究结果支持JOL中的运动流畅性效应与词频效应,也表明分析性和非分析性加工在JOL中会共同发挥作用。     

个体关于加工流畅性的信念对字体大小效应的影响

本研究考察个体关于加工流畅性的信念对学习判断(Judgment of learning, 简称JOL)的影响, 探讨字体大小效应的产生机制。研究通过两个实验分别考察个体关于“字体大小影响加工流畅性” (实验1)以及“加工流畅性影响记忆效果” (实验2)等信念对字体大小效应的影响。结果发现: 1)当人们相信大字体更流畅(实验1)或者越流畅越好记(实验2)时, 他们在大字体项目上的JOL值显著高于小字体项目上的JOL值; 2)当人们相信小字体更流畅(实验1)或者流畅性与记忆无关(实验2)时, 他们在大字体和小字体项目上的JOL值无显著差异, 字体大小效应消失。上述结果表明, 个体关于加工流畅性的信念是字体大小效应产生的重要原因, 是人们进行学习判断的重要线索。