Mathematics

数学
  • 文章类型: Journal Article
    背景:本研究旨在调查与算术任务中的跨文化差异相关的认知和情感因素。
    方法:从中国和意大利招募了404名三年级和四年级学生来完成精确的算术运算,算术估计和认知任务(即,短期记忆,执行功能,和流体推理)。他们的数学焦虑也被测量。
    结果:结果显示,中国儿童在算术任务和轮班任务中的表现均优于意大利儿童。意大利儿童在视觉空间更新任务中表现更好,数学焦虑水平高于中国同龄人。多组路径分析显示,认知因素之间的关系模式(即,短期记忆,抑制和移位),数学焦虑,各组的算术性能相似。唯一的例外是,视觉空间更新唯一地预测了中国人的算术估计,而不是意大利儿童的算术估计。
    结论:中国儿童在精确算术任务中的表现优于意大利同龄人,可能是由于在中国数学教育中更加强调算术流畅性,在学校和家里。在算术估计任务中,他们也比意大利同行略有优势。在中国儿童而不是意大利儿童中发现的更新和算术估计之间的独特联系表明,尽管在这两个国家的课程中都没有强调算术估计,精确算术的指导和练习可以提高中国儿童解决算术估计问题的效率。
    BACKGROUND: This study aimed to investigate the cognitive and affective factors associated with cross-cultural differences in arithmetic tasks.
    METHODS: A total of 404 third- and fourth- graders were recruited from China and Italy to complete exact arithmetic, arithmetic estimation and cognitive tasks (i.e., short-term memory, executive functions, and fluid reasoning). Their mathematical anxiety was also measured.
    RESULTS: The results showed that Chinese children performed better than Italian children in both arithmetic tasks and in shifting task. Italian children performed better in visuospatial updating task and reported higher levels of mathematical anxiety than their Chinese peers. Multi-group path analyses showed that the patterns of relations among cognitive factors (i.e., short-term memory, inhibition and shifting), mathematical anxiety, and arithmetic performance were similar across groups. The only exception was that visuospatial updating uniquely predicted arithmetic estimation for Chinese but not for Italian children.
    CONCLUSIONS: Chinese children outperformed their Italian peers in the exact arithmetic task, likely due to the greater emphasis on arithmetic fluency in Chinese mathematics education, both in schools and at home. They also had a slight advantage than Italian peers in the arithmetic estimation task. The unique link between updating and arithmetic estimation found in Chinese children but not Italian children suggests that, although arithmetic estimation is not emphasized in the curricula of either country, instruction and practice in exact arithmetic may enhance Chinese children\'s efficiency in solving arithmetic estimation problems.
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  • 文章类型: Journal Article
    基于设计的STEM学习被认为是促进儿童认知发展的有效跨学科策略。然而,它对执行职能的影响,特别是对于弱势儿童,仍然需要探索。本研究调查了基于短期强化设计的STEM学习对留守儿童执行功能的影响。从中国一所致力于留守儿童的学校抽取61名四年级学生,随机分配到实验组(10.70±0.47岁,n=30)或对照组(10.77±0.43岁,n=31)。实验组进行了为期两周的基于设计的STEM培训计划,而对照组参加了为期2周的STEM相关阅读计划。在训练前后的Stroop任务期间,使用功能近红外光谱(fNIRS)和行为措施对两组进行了4个感兴趣的大脑区域的大脑激活评估。分析显示:(i)实验组有显著的组内时间效应,在中性和单词条件下,Brodmann区10和46的测试后脑激活显着降低;(ii)在测试后显着的组间差异,实验组在Brodmann区10和Brodmann区46中的脑激活明显低于对照组;(iii)在Stroop任务的三个条件中,脑活动的任务效应显着。这些发现表明,这种STEM学习有效地增强了留守儿童的执行功能。行为表现的非显着差异与大脑激活的显着差异之间的差异暗示着大脑激活的代偿机制。这项研究丰富了当前关于科学影响的理论,技术,Engineering,和数学(STEM)学习对儿童执行功能发展的影响,为教育课程设计和评估提供生物学证据和有价值的见解。
    Design-based STEM learning is believed to be an effective cross-disciplinary strategy for promoting children\'s cognitive development. Yet, its impact on executive functions, particularly for disadvantaged children, still need to be explored. This study investigated the effects of short-term intensive design-based STEM learning on executive function among left-behind children. Sixty-one Grade 4 students from a school dedicated to the left-behind children in China were sampled and randomly assigned to an experimental group (10.70 ± 0.47 years old, n = 30) or a control group (10.77 ± 0.43 years old, n = 31). The experimental group underwent a two-week design-based STEM training program, while the control group participated in a 2-week STEM-related reading program. Both groups were assessed with the brain activation from 4 brain regions of interest using functional near-infrared spectroscopy (fNIRS) and behavioral measures during a Stroop task before and after the training. Analysis disclosed: (i) a significant within-group time effect in the experimental group, with posttest brain activation in Brodmann Area 10 and 46 being notably lower during neutral and word conditions; (ii) a significant between-group difference at posttest, with the experimental group showing considerably lower brain activation in Brodmann Area 10 and Brodmann Area 46 than the control group; and (iii) a significant task effect in brain activity among the three conditions of the Stroop task. These findings indicated that this STEM learning effectively enhanced executive function in left-behind children. The discrepancy between the non-significant differences in behavioral performance and the significant ones in brain activation implies a compensatory mechanism in brain activation. This study enriches current theories about the impact of Science, Technology, Engineering, and Mathematics (STEM) learning on children\'s executive function development, providing biological evidence and valuable insights for educational curriculum design and assessment.
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  • 文章类型: Journal Article
    欺诈活动,特别是在汽车保险和信用卡交易中,给企业和个人造成了巨大的经济损失。为了克服这个问题,我们提出了一种新的欺诈检测方法,将卷积神经网络(CNN)与支持向量机(SVM)相结合,k最近邻(KNN),朴素贝叶斯(NB),和决策树(DT)算法。这种方法的核心在于利用从CNN提取的深层特征作为各种机器学习模型的输入。从而大大有助于提高欺诈检测的准确性和效率。我们的研究结果表明,与以前的研究相比,我们的研究表现优异,突出了我们的模式在打击欺诈活动中被广泛采用的潜力。
    Fraudulent activities especially in auto insurance and credit card transactions impose significant financial losses on businesses and individuals. To overcome this issue, we propose a novel approach for fraud detection, combining convolutional neural networks (CNNs) with support vector machine (SVM), k nearest neighbor (KNN), naive Bayes (NB), and decision tree (DT) algorithms. The core of this methodology lies in utilizing the deep features extracted from the CNNs as inputs to various machine learning models, thus significantly contributing to the enhancement of fraud detection accuracy and efficiency. Our results demonstrate superior performance compared to previous studies, highlighting our model\'s potential for widespread adoption in combating fraudulent activities.
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  • 文章类型: Journal Article
    数学焦虑是影响个体数学学习的普遍现象。不同性别之间的MA引起了研究人员的极大兴趣。Meta分析用于检验中国儿童MA与性别之间的关系。以及影响因素。经过文献检索和筛选,83篇论文和91份独立样本符合纳入标准。随机效应模型的主效应检验结果显示,MA与性别之间存在显著水平的相关性,r=-0.131,95CI[-0.158,-0.105],Z=-9.508,且p<0.001。女孩的MA比男孩高。调节作用检验结果表明,年龄的调节作用,经济区域和测量工具中MA与性别的关系显著。但周期的调节作用不显著。具体来说,与小学相比,中学的MA性别差异更大。儿童MA与性别的相关性最大的是西部地区。不同仪器测量的MA的性别差异不同。
    Mathematics anxiety (MA) is a widespread phenomenon that affects an individual\'s learning of mathematics. MA between different genders has been of great interest to researchers. Meta-analysis was used to examine the relationship between MA and gender in Chinese children, along with the influencing factors. After literature search and screening, 83 papers and 91 independent samples met the inclusion criteria. The results of the main effect test of the random effect model revealed a correlation of significant levels between MA and gender, r = -0.131, 95%CI [-0.158, -0.105], Z = -9.508, and p < 0.001. Girls had higher MA than boys. The outcomes of the moderating effect test indicated that the moderating effect of age, economic region and measurement instrument in the relationship between MA and gender was significant. But the moderating effect of period was not significant. Specifically, gender differences in MA were greater at the middle school compared to the elementary school. And the greatest correlation between children\'s MA and gender was in the western region. The gender difference of MA measured by different instruments varied.
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  • 文章类型: Journal Article
    背景:最近的研究表明,流利的处理可以解释为什么数字意义有助于简单的算术任务-“流利度假设”。
    目的:当前的研究调查了当控制其他认知因素(包括调节链接的因素)时,数字感是否有助于这种算术任务;以及这种贡献是否随参与者的个体数学流利程度而变化。
    方法:4137名中国学童(186名女性;法师=83.49个月)在一年级(没有以前的课堂培训)和二年级(一年后)完成了一系列的认知测量。
    方法:数字感应,算术(加法和减法),空间能力,视觉空间工作记忆,感知,反应时间,测量了性格阅读和一般智力。
    结果:我们的数据表明,与2级(.23-.28)相比,1级(加法为Beta=.15,减法为.06(ns))的数字意义和算术之间的联系较弱,但仍然坚持孩子没有以前的数学训练。Further,1年级的数学表现并不影响数字感和2年级的数学表现之间的联系。
    结论:我们的数据扩展了以前的发现,表明即使在控制了多个认知因素之后,数字感也与简单的数学任务表现有关。我们的结果带来了一些证据,表明数义算术联系对以前的正规数学教育有些敏感。需要进一步的研究,由于年级之间的效果差异很小,一年级的算术并没有缓和二年级问题的联系。
    BACKGROUND: Recent research suggested fluent processing as an explanation on why number sense contributes to simple arithmetic tasks-\'Fluency hypothesis\'.
    OBJECTIVE: The current study investigates whether number sense contributes to such arithmetic tasks when other cognitive factors are controlled for (including those that mediate the link); and whether this contribution varies as a function of participants\' individual maths fluency levels.
    METHODS: Four hundred and thirty-seven Chinese schoolchildren (186 females; Mage = 83.49 months) completed a range of cognitive measures in Grade 1 (no previous classroom training) and in Grade 2 (a year later).
    METHODS: Number sense, arithmetic (addition and subtraction), spatial ability, visuo-spatial working memory, perception, reaction time, character reading and general intelligence were measured.
    RESULTS: Our data showed that the link between number sense and arithmetic was weaker in Grade 1 (Beta = .15 for addition and .06 (ns) for subtraction) compared to Grade 2 (.23-.28), but still persisted in children with no previous maths training. Further, math\'s performance in Grade 1 did not affect the link between number sense and maths performance in Grade 2.
    CONCLUSIONS: Our data extended previous findings by showing that number sense is linked with simple maths task performance even after controlling for multiple cognitive factors. Our results brought some evidence that number sense-arithmetic link is somewhat sensitive to previous formal maths education. Further research is needed, as the differences in effects between grades were quite small, and arithmetic in Grade 1 did not moderate the link at question in Grade 2.
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  • 文章类型: Journal Article
    背景:过去的研究阐明了教学维度与成就情绪之间的关系。然而,需要更多的信息来了解具有不同数学能力的学生之间这种关系背后的潜在过程。
    目的:本研究考察了中国数学课堂中学生感知教学质量与成就情绪之间的关系。关注不同数学成绩的学生。
    方法:本研究共有1045名中学生(占女生的49.1%;Mage=13.90,SD=.84)来自中国数学教室。
    方法:采用多组结构方程模型,检验了低成就和高成就学生之间教学质量与成就情绪的关系。
    结果:在两个学生群体中,控制价值评估都介导了教师支持和成就情绪。同时,控制价值评估未能调解低成就学生的认知激活和成就情绪,而控制价值评估的中介效应是在成绩优异的学生中确定的。此外,课堂管理仅在低成就学生中通过学术价值与成就情绪有关。相比之下,通过对高成就学生的控制价值评估,这与成就情绪有关。
    结论:结果阐明了控制价值评估在低成就和高成就学生的教学质量和成就情绪中的中介作用。在两个学生群体之间也发现了异同。教师支持有利于学生的积极情绪,而课堂管理有助于减轻学生的消极情绪。与低成就学生相比,高成就学生从激活教学中受益更多。
    BACKGROUND: Past studies clarified the relationship between dimensions of teaching and achievement emotions. However, more information is needed about the underlying process behind this relationship among students with different mathematical abilities.
    OBJECTIVE: This study examined the association between students\' perceived teaching quality and achievement emotions in Chinese mathematics classrooms, focusing on students with different mathematics achievements.
    METHODS: There are 1045 secondary school students (49.1% girls; Mage = 13.90, SD = .84) from Chinese mathematics classrooms in the present study.
    METHODS: A multi-group structural equation model was adopted to test the relationship between teaching quality and achievement emotions between low- and high-achieving students.
    RESULTS: Control-value appraisals mediated in teacher support and achievement emotions in both student groups. At the same time, control-value appraisals failed to mediate cognitive activation and achievement emotions in low-achieving students, while the mediating effect of control-value appraisals was identified in high-achieving students. Besides, classroom management was related to achievement emotions via academic value only in low-achieving students. In contrast, it was related to achievement emotions via control-value appraisals in high-achieving students.
    CONCLUSIONS: The results clarified the mediation roles of control-value appraisals in teaching quality and achievement emotions in students with low- and high-achieving achievements. Similarities and differences were also identified between the two student groups. Teacher support was beneficial to students\' positive emotions while classroom management helped to lessen students\' negative emotions. High-achieving students benefited more from activating teaching compared with low-achieving students.
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  • 文章类型: Journal Article
    背景:父母经常参与孩子的家庭作业,目的是提高孩子的学业成绩。然而,关于父母参与家庭作业在塑造学生学习成果方面的作用,我们观察到了不同的发现。
    目的:本研究通过考虑社会集体主义-个人主义的程度,研究了父母参与家庭作业对学生在科学和数学方面的表现的影响是否以及如何在不同的社会文化背景下变化。
    方法:本研究使用大规模数据集,由来自43个国家/地区的与会者组成,测试社会集体主义-个人主义是否会缓和三种类型的父母参与之间的关系(询问,帮助和检查)作业和小学生在数学和科学方面的学习成绩。
    结果:多层次分析揭示了不同的父母参与行为对家庭作业的不同影响。帮助和检查行为通常与小学生的学业成绩呈负相关,但是询问行为与他们的学业成绩呈正相关。重要的是,询问行为的积极作用更强,而帮助行为的负面影响在集体主义社会中比在个人主义社会中弱。
    结论:本研究强调了在评估父母在小学生数学和科学学习中的作用时,考虑父母家庭作业参与的多面性和集体主义-个人主义不同的社会文化背景的重要性。
    BACKGROUND: Parents are often involved in their child\'s homework with the goal of improving their child\'s academic achievement. However, mixed findings were observed for the role of parental involvement in homework in shaping students\' learning outcomes.
    OBJECTIVE: The present study examined whether and how the effect of parental involvement in homework on students\' performance in science and math varies across sociocultural contexts by considering the degrees of societal collectivism-individualism.
    METHODS: The present study used a large-scale dataset, consisting of participants from 43 countries/regions, to test whether societal collectivism-individualism would moderate the relationship between three types of parental involvement (asking, helping and checking) in homework and elementary school students\' academic performance in math and science.
    RESULTS: The multi-level analyses revealed diverse effects of different parental involvement behaviours for homework. Helping and checking behaviours were generally negatively associated with elementary school students\' academic achievement, but asking behaviours were positively associated with their academic achievement. Importantly, the positive effect of asking behaviours was stronger, while the negative effect of helping behaviours was weaker in collectivistic societies than in individualistic societies.
    CONCLUSIONS: The present study highlights the importance of considering the multifaceted nature of parental homework involvement and the sociocultural contexts that vary in collectivism-individualism when evaluating the role of parents in elementary school students\' learning in math and science.
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  • 文章类型: Journal Article
    对学术动机的社会经济差异的兴趣由来已久。然而,以前的研究经常将低SES和高SES学生视为同质群体。本研究旨在通过调查青春期早期数学动机的发展轨迹来解决这一差距,重点关注SES组内和跨SES组的变化。从4年级到6年级的2年中,对中国3718名早期青少年(最初的Mage为9.40±0.52岁;48.0%的女孩)的样本进行了多组潜在班级增长分析。分析确定了每个SES组中三个不同的自我确定的数学动机轨迹配置文件:高质量的配置文件(即,最初高自主但低控制),高数量的轮廓(即,最初的自主和受控都很高),和低数量的轮廓(即,最初较低的自主和受控)。在低数量的情况下,观察到的低SES学生比例高于高质量的情况。研究发现,失败是增强观点是针对两个相对不适应的动机轨迹轮廓的保护因素(即,高数量轮廓和低数量轮廓),无论社会经济背景如何。这些发现强调了对早期青少年实施动机干预措施的重要性,这些措施既考虑了结构性因素(例如,社会经济背景)和心理因素(例如,失败信念),促进学生的学术发展。
    Interest in socioeconomic differences in academic motivation has been longstanding. However, previous research has often treated both low- and high-SES students as homogenous groups. This study aims to address this gap by investigating the developmental trajectory profiles of mathematics motivation during early adolescence, with a focus on variations within and across SES groups. Multigroup latent class growth analysis was used on a sample of 3718 early adolescents in China (initial Mage was 9.40 ± 0.52 years; 48.0% girls) across 2 years from grades 4 through 6. The analysis identified three distinct self-determined mathematics motivation trajectory profiles within each SES group: a good-quality profile (i.e., initially high autonomous but low controlled), a high-quantity profile (i.e., initially high both autonomous and controlled), and a low-quantity profile (i.e., initially low both autonomous and controlled). A greater proportion of low-SES students were observed within the low-quantity profile than within the good-quality profile. The study found that the failure-is-enhancing view was a protective factor against two relatively maladaptive motivational trajectory profiles (i.e., high-quantity profile and low-quantity profile), irrespective of socioeconomic background. These findings emphasize the importance of implementing motivational interventions for early adolescents that consider both structural factors (e.g., socioeconomic backgrounds) and psychological factors (e.g., failure beliefs), to foster students\' academic development.
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  • 文章类型: Journal Article
    该项目涉及研究人员和幼儿园教师的共同设计过程,以开展整合基本运动技能(FMS)和数学的学习活动。我们试行了共同设计的活动(即,运动数学课程)在当地幼儿园,并检查了对FMS熟练程度的影响,数学技能,和应计体力活动(PA)。参与者包括来自两个匹配的幼儿园班级的学生(N=39),在其中,我们将运动数学程序与典型的数学课进行了比较。所有参与者都戴着计步器来测量他们在课堂上的步数,每周一天。FMS熟练程度(即,运动,对象控制)和数学技能(算术,几何图形,数学问题解决)在实施之前和之后进行测量。仅在飞行员组中发现了运动和物体控制技能的显着改善(p<0.001);飞行员和对照组之间的数学技能变化没有差异。在执行日,试验组参与者的步数显著高于对照组(p<0.001).参加运动数学课程似乎对改善FMS熟练程度和应计PA时间有好处,建议将综合活动作为在幼儿园环境中推广PA的一种手段。研究运动与数学整合的影响的未来工作应该考虑随机化,更大的样本量,和更长的干预期。
    This project involved a co-design process involving researchers and kindergarten teachers to produce learning activities that integrated fundamental movement skills (FMS) and mathematics. We piloted the co-designed activities (i.e., motor-math program) in a local kindergarten and examined the effects on FMS proficiency, mathematics skills, and accrued physical activity (PA). The participants comprised pupils (N = 39) from two matched kindergarten classes, in which we compared the motor-math program with typical mathematics lessons. All participants wore pedometers to measure their number of steps during class, one day per week. FMS proficiency (i.e., locomotor, object control) and mathematics skills (numeracy, geometry, math problem solving) were measured before and after implementation. Significant improvements in locomotor and object control skills were found only in the pilot group (p < 0.001); there were no differences in the changes in mathematics skills between the pilot and comparison groups. During implementation days, the participants in the pilot group accrued significantly greater step counts (p < 0.001) than those in the comparison group. Participating in the motor-math program appears to have benefits associated with improvements in FMS proficiency and accrued PA time, suggesting a promising potential for integrated activities as a means of PA promotion in kindergarten settings. Future work that examines the effects of the integration of movement with mathematics should consider randomization, greater sample size, and a longer intervention period.
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  • 文章类型: Journal Article
    熟练运用心算可以显著提高学生的数学计算能力。然而,据观察,小学生在心算过程中经常会在脑海中重申书面算术的过程,不利于其数值能力的提高。本文设计了一套基于心算策略的小学生心算改进图形教具,图式理论,和工作记忆。为了验证图式教学在提高小学生心算能力方面的有效性,对京山市某小学随机抽取的两组三年级学生进行对照实验。结果,通过描述性统计分析和多性状多方法(MTMM)获得,表明实验组(n=52)在速度上有显著提高,准确度,在图式教学中,经过14天的指导后,心理加减法的稳定性。本研究为初等数学教育提供了一种有效的心算教学策略,这可以导致全面增强学生的心理计算能力。它还有望在未来的中小学数学教育中激发创新的教学方法。
    Skillful utilization of mental arithmetic can significantly improve students\' mathematical computation ability. However, it was observed that primary school students often resort to reiterating the process of written arithmetic in their minds during mental arithmetic, which is not conducive to their numerical ability improvement. This paper devises a set of graphic teaching aids for primary school students\' mental arithmetic improvement based on mental arithmetic strategies, schema theory, and working memory. To validate the effectiveness of schema teaching in enhancing mental arithmetic ability among primary school students, a controlled experiment was conducted with two groups of third-grade students randomly selected from a primary school in Jingshan City. The results, obtained through descriptive statistical analysis and the multitrait-multimethod approach (MTMM), indicated that the experimental group (n = 52) demonstrated significant improvements in speed, accuracy, and stability in mental addition and subtraction after a 14-day instruction period in schema teaching. This study offers a potent mental arithmetic teaching strategy for elementary mathematics education, which can lead to a comprehensive enhancement of students\' mental calculation abilities. It also holds promise for inspiring innovative teaching methodologies in primary and secondary mathematics education in the future.
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