The link between deductive reasoning and mathematics

ABSTRACT

Recent studies have shown that deductive reasoning skills (including transitive and conditional inferences) are related to mathematical abilities. Nevertheless, so far the links between mathematical abilities and these two forms of deductive inference have not been investigated in a single study. It is also unclear whether these inference forms are related to both basic maths skills and mathematical reasoning, and whether these relationships still hold if the effects of fluid intelligence are controlled. We conducted a study with 87 adult participants. The results showed that transitive reasoning skills were related to performance on a number line task, and conditional inferences were related to arithmetic skills. Additionally, both types of deductive inference were related to mathematical reasoning skills, although transitive and conditional reasoning ability were unrelated. Our results also highlighted the important role that ordering abilities play in mathematical reasoning, extending findings regarding the role of ordering abilities in basic maths skills. These results have implications for the theories of mathematical and deductive reasoning, and they could inspire the development of novel educational interventions.     

A process model of the understanding of uncertain conditionals

To build a process model of the understanding of conditionals we extract a common core of three semantics of if-then sentences: (a) the conditional event interpretation in the coherencebased probability logic, (b) the discourse processingtheory of Hans Kamp, and (c) the game-theoretical approach of Jaakko Hintikka. The empirical part reports three experiments in which each participant assessed the probability of 52 if-then sentencesin a truth table task. Each experiment included a second task: An n-back task relating the interpretation of conditionals to working memory, a Bayesian bookbag and poker chip task relating the interpretation of conditionals to probability updating, and a probabilistic modus ponens task relating the interpretation of conditionals to a classical inference task. Data analysis shows that the way in which the conditionals are interpreted correlates with each of the supplementary tasks. The results are discussed within the process model proposed in the introduction.     

目标显著性和任务重要性对数学学业不良生和学优生前瞻记忆和前瞻干扰效应的影响

有问卷调查表明,个体的学业成绩特别是数学成绩与前瞻记忆表现有一定的相关,学业不良生报告更多的前瞻记忆失败。也有实验研究显示,学业不良生在很多情况下前瞻记忆表现劣于学优生。但是,影响学业不良生前瞻记忆表现的因素却并不是很明确。本研究从目标显著性和任务重要性这两个可以着手于改善前瞻记忆的主要因素入手,考察其对数学学业不良生和学优生事件性前瞻记忆和前瞻干扰效应的影响,以期为提高学业不良生的前瞻记忆表现提供实证依据。 采用2学业成就（学业不良生、学优生）×2前瞻记忆任务重要性（强调重要、不强调）×2目标显著性（显著、不显著）混合实验设计,目标显著性为被试内变量,其他两个因素为被试间变量,在双任务实验范式（前瞻记忆任务镶嵌于进行中任务）中,考察三个因素对前瞻记忆正确率和反应时的影响。此外,被试还需完成基线条件,在基线条件下被试只有进行中任务,没有前瞻记忆任务,通过实验条件和基线条件的正确率和反应时差异,考察前瞻记忆任务对进行中任务的干扰效应,推测前瞻记忆的加工机制。结果表明,学业不良生在所有前瞻记忆任务表现均劣于学优生;目标显著性与前瞻记忆任务重要性对前瞻记忆正确率有显著的交互作用,强调任务重要性使目标不显著条件下的前瞻记忆正确率提高,对显著条件的前瞻记忆正确率没有影响。强调任务重要性使所有实验条件的前瞻记忆反应时下降,目标显著使所有实验条件的前瞻记忆正确率提高。所有实验条件进行中任务正确率低于基线条件,反应时也慢于基线条件,表明执行前瞻记忆任务对进行中任务产生了干扰,学业不良生和学优生在本实验条件下对前瞻记忆任务均采用监控的加工方式。结果说明,学业不良生前瞻记忆成绩较差,可以通过设置显著的目标提高其前瞻记忆成绩,当目标显著时无需强调其重要性,若无法设置显著的目标,则通过强调任务重要性提高前瞻记忆表现。     

情绪的动机强度与工作记忆任务类型的协调性对自我控制任务的影响

考察趋近动机强度不同的积极情绪和回避动机强度不同的消极情绪与工作记忆的协调性对自我控制任务的影响。结果发现,与高趋近动机的积极情绪、高回避动机的消极情绪以及中性情绪相比,在低趋近动机的积极情绪下完成言语工作记忆以及在低回避动机的消极情绪下完成空间工作记忆,工作记忆成绩提高,而Stroop分数降低,这表明情绪与工作记忆的协调性受到情绪动机强度的影响。     

The impact of contextual information and a secondary task on anticipation performance: An interpretation using cognitive load theory

When performing under severe time constraints, sports performers use kinematic and contextual information to facilitate anticipation. We examined the relative importance of these two information sources and their impact on cognitive load and anticipation performance. Cognitive load theory predicts that adding more information sources to a task will increase cognitive load in less‐skilled but not skilled performers. Skilled and less‐skilled cricket batters anticipated deliveries from bowlers on a life‐size screen under 4 conditions that manipulated access to contextual information and included a secondary task. The presence of context enhanced anticipation accuracy for both skilled and less‐skilled groups, without affecting cognitive load. Skilled performers used sequencing and game‐related contextual information in addition to kinematic information to facilitate anticipation, whereas both groups reported using information pertaining to opponent positioning. Findings highlight the importance of context in anticipation and suggest that the addition of context may not necessarily negatively impact cognitive load.     

任务图式对文章修改的影响研究

本研究探讨任务图式对文章修改的影响。高低水平的作者先完成一个写作任务,再修改文章的初稿。修改时,实验组学生先接受关于正确修改的任务图式指导,控制组学生则直接进行修改。实验结果表明,任务图式指导有明显的主效应,高低水平作者均提高了对字面错误与意义错误的正确修改,而水平间的差异主要表现在意义错误的修改上。本研究还分析了任务图式指导对修改的字数(包括改变意义与保留意义的字数)、修改的句法水平(包括字、词和句子)以及修改的方式(包括插入、替换、删除和移动句子)的影响。     

Emergence of representational activity during the early drawing stage: process analysis

This study analyzed the process underlying the emergence of representational drawing. Eighty-seven children aged 1–3 years were asked to color or draw either a simple picture (P) or a contour for an object (DC) in a shared task. After that, they were asked to draw their mother on a blank sheet of paper in a no drawn contour task (NC). Whereas 1½- and 2-year-olds were more successful in the P task than in the DC task, the 2½- and 3-year-olds were successful in both. The 2-year-olds were better in the DC than the NC task. The results show that 1½- and 2-year-olds can extract the component parts of a drawing even though they cannot produce them and children over 2½ years old can organize these components into a drawing by themselves. These findings indicate that representational drawing is based on the extraction of the component parts and the acquisition of the drawing ability to combine the parts into a drawing and that the beginnings of representational drawing are found in 1½- and 2-year-old children.     

个人自立对注意偏向影响的眼动研究

通过使用基于眼动的罗夏墨迹测验图观察任务与新异/自我观点观察任务来探究个人自立对注意偏向的影响。结果发现:(1)除了第四张图片以外,个人自立高分组在观察其他9张罗夏墨迹测验图时的眨眼率都显著或边缘显著的高于低分组;(2)个人自立高分组在观察两张新异/自我语句图片时进行新异/自我观点回视的次数都要显著多于低分组;(3)在观察第1张新异/自我语句图时,个人自立低分组对自我观点的注意明显多于新异观点。     

The effect of priming a thin ideal on the subsequent perception of conceptually related body image words

Our research examined the effects of thin ideal priming on the perception of body image words in participants without an eating disorder. Half of the participants were primed by viewing thin models, and half were primed with gender-neutral shoes. Subsequently, all participants (N = 56) completed a Stroop task for three categories of words: neutral (BOOKS), shoe (CLOGS), and body (THIGHS). Lastly, all participants completed a body dissatisfaction questionnaire. We predicted that body dissatisfaction scores would be correlated with the Stroop effect. We found a significant correlation between body dissatisfaction and the body effect of slower color naming times for the body related words compared to the neutral words. Our study demonstrates that body dissatisfaction and a brief priming with thin models results in subsequent differences in performing a Stroop task in a non clinical population of female participants.     

Latent growth curve analysis of fear during a speech task before and after treatment for social phobia

Models of social phobia highlight the importance of anticipatory anxiety in the experience of fear during a social situation. Anticipatory anxiety has been shown to be highly correlated with performance anxiety for a variety of social situations. A few studies show that average ratings of anxiety during the anticipation and performance phases of a social situation decline following treatment. Evidence also suggests that the point of confrontation with the feared stimulus is the peak level of fear. No study to date has evaluated the pattern of anxious responding across the anticipation, confrontation, and performance phases before and after treatment, which is the focus of the current study. Socially phobic individuals (N = 51) completed a behavioral avoidance task before and after two types of manualized cognitive behavioral therapy, and gave ratings of fear during the anticipation and performance phases.Results from latent growth curve analysis were the same for the two treatments and suggested that before treatment, anxiety sharply increased during the anticipation phase, was highly elevated at the confrontation, and gradually increased during the performance phase. After treatment, anxiety increased during the anticipation phase, although at a much slower rate than at pretreatment, peaked at confrontation, and declined during the performance phase. The findings suggest that anticipatory experiences are critical to the experience of fear for public speaking and should be incorporated into exposures.