How is anxiety related to math performance in young students? A longitudinal study of Grade 2 to Grade 3 children

Both general and math-specific anxiety are related to proficiency in mathematics. However, it is not clear when math anxiety arises in young children, nor how it relates to early math performance. This study therefore investigated the early association between math anxiety and math performance in Grades 2 and 3, by accounting for general anxiety and by further inspecting the prevalent directionality of the anxiety–performance link. Results revealed that this link was significant in Grade 3, with a prevalent direction from math anxiety to performance, rather than the reverse. Longitudinal analyses also showed an indirect effect of math anxiety in Grade 2 on subsequent math performance in Grade 3. Overall, these findings highlight the importance of monitoring anxiety from the early stages of schooling in order to promote proficient academic performance.     

小学低年级儿童的计算流畅性与数学焦虑:基于变量为中心与个体为中心的分析

为考察计算流畅性对小学低年级儿童数学焦虑的影响及作用机制,对592名小学二年级儿童的计算流畅性、数学学习兴趣、教师支持和数学焦虑进行测查。结果发现:(1)计算流畅性不仅通过数学学习兴趣间接影响数学焦虑,也可通过数学学习兴趣进而通过教师支持间接影响数学焦虑;(2)对计算流畅性和数学学习兴趣得分进行潜剖面分析,可将儿童区分为三种类型:低能力-低兴趣型、高能力-高兴趣型和低能力-高兴趣型;(3)低能力-低兴趣型儿童的数学焦虑得分显著高于其他两类,而低能力-高兴趣型和高能力-高兴趣型儿童的数学焦虑得分则无显著差异。上述结果表明计算流畅性、数学学习兴趣和教师支持在预防和干预小学低年级儿童的数学焦虑中具有重要作用。     

小学低年级儿童的计算流畅性与数学焦虑:基于变量为中心与个体为中心的分析

为考察计算流畅性对小学低年级儿童数学焦虑的影响及作用机制,对592名小学二年级儿童的计算流畅性、数学学习兴趣、教师支持和数学焦虑进行测查。结果发现:(1)计算流畅性不仅通过数学学习兴趣间接影响数学焦虑,也可通过数学学习兴趣进而通过教师支持间接影响数学焦虑;(2)对计算流畅性和数学学习兴趣得分进行潜剖面分析,可将儿童区分为三种类型:低能力-低兴趣型、高能力-高兴趣型和低能力-高兴趣型;(3)低能力-低兴趣型儿童的数学焦虑得分显著高于其他两类,而低能力-高兴趣型和高能力-高兴趣型儿童的数学焦虑得分则无显著差异。上述结果表明计算流畅性、数学学习兴趣和教师支持在预防和干预小学低年级儿童的数学焦虑中具有重要作用。     

乡镇小学生的数学焦虑与数学成绩:数学自我效能感和数学元认知的链式中介作用

采用儿童数学焦虑量表、小学生数学学习自我效能感量表和小学生数学元认知问卷,对508名乡镇中、高年级小学生进行测量,并运用结构方程模型探讨数学焦虑影响数学成绩的内在作用机制。结果发现：（1）数学焦虑显著负向预测数学自我效能感、数学元认知和数学成绩,数学自我效能感显著正向预测数学元认知和数学成绩,数学元认知显著正向预测数学成绩;（2）在数学焦虑对数学成绩的预测中,数学自我效能感和数学元认知均发挥了部分中介作用;（3）数学自我效能感和数学元认知在数学焦虑和数学成绩之间起链式多重中介的作用。因此,数学焦虑除了直接作用于小学生的数学成绩,还可通过数学自我效能感或数学元认知间接影响数学成绩,而且可通过数学自我效能感进而通过数学元认知间接影响数学成绩。文章讨论了上述发现的理论及教育实践含义。     

初中生数学焦虑的调查及其调控研究

数学焦虑既是心理科学研究的对象,又与教育、教学,特别是学科教学密切相关。本文调查发现:部分初中生存在过度的数学焦虑,并且在年级、性别等维度上具有明显差异;教师的评价方式、课堂气氛、数学考试是形成数学焦虑的主要原因。运用三条教学策略的实验研究表明,数学焦虑是可以调控的,而且数学焦虑的缓解对学生数学成绩的提高有一定的促进作用。     

Sex differences in the association of math achievement with visual-spatial and verbal working memory: Does the type of math test matter?

Previous research on sex differences in mathematical achievement shows mixed findings, which have been argued to depend on types of math tests used and the type of solution strategies (i.e., verbal versus visual-spatial) these tests evoke. The current study evaluated sex differences in (a) performance (development) on two types of math tests in primary schools and (b) the predictive value of verbal and visual-spatial working memory on math achievement. Children (N = 3175) from grades 2 through five participated. Visual-spatial and verbal working memory were assessed using online computerized tasks. Math performance was assessed five times during two school years using a speeded arithmetic test (math fluency) and a word problem test (math problem solving). Results from Multilevel Multigroup Latent Growth Modeling, showed that sex differences in level and growth of math performance were mixed and very small. Sex differences in the predictive value of verbal and visual-spatial working memory for math performance suggested that boys seemed to rely more on verbal strategies than girls. Explanations focus on cognitive and emotional factors and how these may interact to possibly amplify sex differences as children grow older.     

Are there gender differences in cognitive reflection? Invariance and differences related to mathematics

ABSTRACT

Cognitive reflection is recognized as an important skill, which is necessary for making advantageous decisions. Even though gender differences in the Cognitive Reflection test (CRT) appear to be robust across multiple studies, little research has examined the source of the gender gap in performance. In Study 1, we tested the invariance of the scale across genders. In Study 2, we investigated the role of math anxiety, mathematical reasoning, and gender in CRT performance. The results attested the measurement equivalence of the Cognitive Reflection Test – Long (CRT- L), when administered to male and female students. Additionally, the results of the mediation analysis showed an indirect effect of gender on CRT-L performance through mathematical reasoning and math anxiety. The direct effect of gender was no longer statistically significant after accounting for the other variables. The current findings suggest that cognitive reflection is affected by numerical skills and related feelings.     

Communication and social skills in socially anxious and nonanxious individuals in the context of romantic relationships

This study examined differences between socially anxious and nonanxious individuals' ability to use effective communication skills and social skills in the context of romantic relationships. Socially anxious (n = 13) and nonanxious (n = 14) individuals and their romantic partners were videotaped while participating in 10-minute neutral, negative, and pleasant conversations. Regardless of the type of conversation in which they were involved, socially anxious individuals demonstrated impairment in 10 of the 11 social skill variables assessed. In negative conversations, socially anxious individuals displayed more "very negative" behaviors than nonanxious individuals, and across all conversations they displayed fewer "positive" behaviors than nonanxious individuals. Partners of socially anxious and nonanxious individuals did not differ in their communication quality. The results suggest that social anxiety is associated with deficits in relationship maintenance behavior and call for the completion of a larger study examining the interpersonal consequences of social anxiety.     

小学低年级汉语儿童语言能力的发展轨迹:认知能力的预测作用

对177名小学一年级学生进行了长达一年的三次追踪,通过多层线性模型探索了儿童汉字识别、口语词汇和限时阅读理解能力的发展轨迹及复合语素意识、正字法意识和快速命名能力对三者的预测作用,结果发现：（1）三种语言能力均随时间呈现显著的线性增长趋势,汉字识别的个体差异逐渐缩小,口语词汇的个体差异相对稳定,而限时阅读理解成绩的差异逐渐扩大;（2）三种认知能力对汉字识别和限时阅读理解的初始成绩均有显著的正向预测作用,复合语素意识不仅能预测口语词汇的初始成绩,还能正向预测限时阅读理解的发展速度。     

中小学数学教师数感内隐观的调查研究

该研究以131名中小学数学教师为被试,采用调查分析的方法,编制了数感结构选项表,考察了中小学数学教师的数感结构内隐观。结果显示：中小学数学教师的数感结构内隐观所涉及的范围广泛,经因素分析可以把它概括为6个因素。它们分别是：数学运算、数学认知因素、非书面计算能力、理解数与运算的意义、对数的认识与直觉、数符号表征能力。     

Gender and mathematics anxiety: The role of math-related experiences and opinions

Abstract

Research has indicated that women may be particularly prone to experiencing mathematics anxiety and, to account for this, the sex-role socialization hypothesis posits that women are more math anxious because they have had less experience with mathematics and have more negative opinions regarding mathematics. In contrast, the math experiences hypothesis suggests that math anxiety is not truly a gender-related phenomenon, but rather is due to poor mathematical preparation, regardless of gender. The present study pitted the “sex-role” hypothesis against the “math experience” hypothesis in an examination of the relation between gender and math anxiety. One hundred and seventy-one university students completed a measure of math anxiety and a series of questions regarding their math marks, opinions, and experiences throughout their educational history. The findings clearly supported the math experience hypothesis of math anxiety, for differences in math marks, opinions, and experiences were found between non-math-anxious, moderately math-anxious, and highly math-anxious students. The few gender differences that were found indicated that the female students frequently reported higher math marks than those reported by male students. We suggest that the relation between gender and mathematics anxiety may be accounted for by gender-linked reporting biases. The limitations of the study are addressed and suggestions for future research are made.     

数学能力与问句位置对小学生数学结构不良应用题表征的影响

对小学四年级高低数学能力学生各40名,呈现问句前置和问句后置两种形式的结构不良应用题,探讨两种被试在问句前置时对应用题的内在表征形式倾向.结果发现,两种被试在问句前置时阅读条件句的总时间比问句后置时显著降低,解题时间显著降低,但高能力被试阅读有关条件句的时间在总阅读时间中的比例显著增高,解答成绩显著提高,而低能力被试相关时间比反而显著下降、解答成绩没有显著提高.这表明,高能力被试建构问题模型与情境模型,而低能力被试只建构问题模型.     

小学儿童数学态度与数学成就的纵向联系：学业拖延和数学元认知的作用

为深入探讨小学儿童的数学态度、学业拖延、数学元认知与数学成就之间的纵向联系及内在作用机制,对515名三、五年级小学生进行为期半年的追踪研究。结果表明:(1)学业拖延在儿童的数学态度与数学成就之间发挥着即时和纵向中介作用;(2)不同水平数学元认知个体在纵向中介模型中“数学态度→数学成就”这一路径上存在差异。这意味着较积极的数学态度有利于减少小学儿童的学业拖延行为,进而提高其数学成就,而高数学元认知则能够监控和调节个体的数学态度,使其发挥积极作用,从而提高数学成就。该发现为有效促进儿童的数学学习提供了重要实践启示。