数学成就的性别差异

数学成就的性别差异是多年来广受关注的问题。长期以来人们多关注男性、女性数学成就水平的高低, 而近年来研究结果一方面揭示出总体上男性和女性数学成就的平均水平差异很小, 呈现出相似性多于差异性的特点; 同时也显示男性内部变异比女性更大, 男性在高数学成就者中占多数。数学成就性别差异的大小和方向受到评分系统、测验组织形式、测验内容和难度的影响。数学成就性别差异的形成是心理、生物、社会文化等方面多因素综合作用的结果。近期研究探讨了年龄、遗传和进化、激素和脑、刻板印象威胁、社会性别公平和时代等因素在数学成就性别差异的形成中的作用。未来对数学成就性别差异的研究应注意开展追踪研究, 关注低数学能力者, 进一步探讨复杂数学加工机制的性别差异, 建立数学成就性别差异形成机制的综合模型, 并在更广阔的社会文化背景下开展研究。     

GENDER COMPARISONS OF MATHEMATICS ATTITUDES AND AFFECT

This article reports the complex results of meta-analyses of gender differences in attitudes and affect specific to mathematics. Overall, effect sizes were small and were similar in size to gender differences in mathematics performance. When differences exist, the pattern is for females to hold more negative attitudes. Gender differences in self-confidence and general mathematics attitudes are larger among high school and college students than among younger students. Effect sizes for mathematics anxiety differ depending upon the sample (highly selected or general). One exception to the general pattern is in stereotyping mathematics as a male domain, where males hold much more stereotyped attitudes ( d = -.90). While affect and attitudes toward mathematics are not the only influences on the development of gender differences in mathematics performance, they are important, and both male and female affect and attitudes should be considered in conjunction with other social and political influences as explanations.     

Gender and mathematics: attitudes and stereotype threat susceptibility in Italian children

Two experiments investigated the development of attitudes toward mathematics and stereotype threat susceptibility in Italian children. Experiment 1 involved 476 elementary school boys and girls and produced evidence of gender differences in self-confidence in one's own mathematical ability and in gender stereotyping of mathematics during elementary school. It also provided initial evidence for a decrement in 10-year-old girls' mathematics performance when stereotype threat was made salient by reminding participants that extraordinary achievement in mathematics is typically a male phenomenon. Experiment 2 (N=271) replicated these findings and expanded them to middle school-age participants. Its results suggest that during middle school, the patterns observed in elementary school consolidate, and the stereotypes begin to produce detrimental effects in girls.     

New trends in gender and mathematics performance: a meta-analysis

In this article, we use meta-analysis to analyze gender differences in recent studies of mathematics performance. First, we meta-analyzed data from 242 studies published between 1990 and 2007, representing the testing of 1,286,350 people. Overall, d = 0.05, indicating no gender difference, and variance ratio = 1.08, indicating nearly equal male and female variances. Second, we analyzed data from large data sets based on probability sampling of U.S. adolescents over the past 20 years: the National Longitudinal Surveys of Youth, the National Education Longitudinal Study of 1988, the Longitudinal Study of American Youth, and the National Assessment of Educational Progress. Effect sizes for the gender difference ranged between -0.15 and +0.22. Variance ratios ranged from 0.88 to 1.34. Taken together, these findings support the view that males and females perform similarly in mathematics.     

Gender and Mathematical Problem Solving

The relationship between gender and mathematical problem-solving among high ability students depends on the attributes of the problem solving questions. This was evident in the present study of 12-year-olds. The children were from predominately White families. Eighty-three males and 76 females were tested in both the fall and the spring on the Fennema-Sherman Mathematics Attitudes Scales and on the Canadian Test of Basic Skills (CTBS). In the Spring, students were also tested on the GAUSS. Both the CTBS and the GAUSS measure mathematical problem solving. Among high ability students, there were gender differences on the problem-solving scale of the CTBS but not on the GAUSS, even though the GAUSS was independently rated as the more abstract and difficult of the two tests. The present study describes the implications of this for the question of the origin of gender differences in mathematics, and also looked at the relationship between attitudes toward mathematics and mathematical problem-solving performance.     

Locus of evaluation control,task directions,and type of problem effects on creativity

Abstract:

Ninety‐one eleventh‐graders from one suburban, middle‐class high school completed one realistic and one unrealistic divergent thinking problem. Students were randomly assigned to groups directed to think of unique or common ideas, and their locus of evaluation control was assessed. Internal males and external females were most fluent on the unrealistic task, but males asked to give common ideas and females asked to give unique instructions were the most original. Results were discussed in terms of gender role stereotypes and their differential effects on males’ and females’ creative problem solving.     

领悟社会支持性别差异的元分析

研究采用元分析技术, 对采用Zimet“多维度领悟社会支持量表”调查中国人群领悟社会支持的58篇文献进行了元分析, 涉及样本总量为31286人(男性15279), 调查的时间跨度为2002~2014年。研究结果显示:(1)领悟社会支持有显著的性别差异, 女性在领悟社会支持总分、家庭内(外)支持、朋友支持及重要他人支持的得分均显著高于男性, 效果量d的取值范围为[-0.266,-0.183];(2)大学生领悟社会支持总分和领悟家庭支持的性别差异显著大于中学生。本研究结果对于探明中国人群中领悟社会支持的性别差异及其发展趋势具有一定的理论意义。     

Predicting academic self‐handicapping in different age groups: The role of personal achievement goals and social goals

Background. Academic self‐handicapping refers to the use of impediments to successful performance on academic tasks. Previous studies have shown that it is related to personal achievement goals. A performance goal orientation is a positive predictor of self‐handicapping, whereas a task goal orientation is unrelated to self‐handicapping. Aims. The aim of this study was to examine the relationship between academic self‐handicapping, goal orientations (task, performance‐approach, performance‐avoidance), social goals, future consequences and achievement in mathematics. An additional aim was to investigate grade‐level and gender differences in relation to academic self‐handicapping. Sample. Participants were 702 upper elementary, junior and senior high school students with approximately equal numbers of girls and boys. Results. There were no grade‐level or gender differences as regards the use of self‐handicapping. The correlations among the variables revealed that, when the whole sample was considered, self‐handicapping was positively related to performance goal orientations and pleasing significant others and negatively to achievement in mathematics. The results of hierarchical regression analysis showed that, in upper elementary and junior high schools, the association between achievement in mathematics and self‐handicapping was mediated by performance‐avoidance goals. In senior high school, only task goal orientation was a negative predictor of self‐handicapping.     

Early predictors of middle school fraction knowledge

Recent findings that earlier fraction knowledge predicts later mathematics achievement raise the question of what predicts later fraction knowledge. Analyses of longitudinal data indicated that whole number magnitude knowledge in first grade predicted knowledge of fraction magnitudes in middle school, controlling for whole number arithmetic proficiency, domain general cognitive abilities, parental income and education, race, and gender. Similarly, knowledge of whole number arithmetic in first grade predicted knowledge of fraction arithmetic in middle school, controlling for whole number magnitude knowledge in first grade and the other control variables. In contrast, neither type of early whole number knowledge uniquely predicted middle school reading achievement. We discuss the implications of these findings for theories of numerical development and for improving mathematics learning.     

Gender differences in object location memory: A meta-analysis

The goal of the present study was to quantify the magnitude of gender differences in object location memory tasks. A total of 123 effect sizes (d) drawn from 36 studies were included in a meta-analysis using a hierarchical approach. Object identity memory (37 effect sizes) and object location memory (86 effect sizes) tasks were analyzed separately. Object identity memory task showed significant gender differences that were homogeneous and in favor of women. For the object location memory tasks, effect sizes had to be partitioned by age (younger than 13, between 13 and 18, older than 18), object type (common, uncommon, gender neutral, geometric, masculine, feminine), scoring method (accuracy, time, distance), and type of measure (recall, recognition) to achieve homogeneity. Significant gender differences in favor of females were obtained in all clusters above the age of 13, with the exception of feminine, uncommon, and gender-neutral objects. Masculine objects and measures of distance produced significant effects in favor of males. Implications of these results for future work and for theoretical interpretations are discussed.     

Mindful Learning: A Moderator of Gender Differences in Mathematics Performance

Past research has demonstrated that males outperform females in mathematics (Hyde, J. S., Fennema, E., & Lamon, S. J., Psychol Bull 107:139–155, 1990a). Research has also shown that encouraging mindful learning–learning information in a conditional rather than an absolute way–can increase mathematics performance in females (Ritchhart, R., & Perkins, D. N., J Social Issues 56:27–47, 2000). This paper examines the moderating role of mindful learning for gender differences, by manipulating mindful learning for females’ and males’ performance on a novel math task. The results from this study show that males performed better than females when mindful learning was not encouraged (absolute instruction), but males and females performed equally well when mindful learning was encouraged (conditional instruction). Thus we find that mindful learning moderates gender differences in math performance.     

小学生数学问题解决中视觉空间表征的研究

本研究区分了两类数学应用题:非视觉化题目与视觉化题目,采用数学测验与个别访谈相结合的方法,考察了54名小学四、五、六年级不同学业水平学生的视觉空间表征。结果表明:图式表征在非视觉化题目与视觉化题目上都极大地促进了问题解决,图像表征妨碍非视觉化题目的解决但与视觉化题目的解决无关,并提出图式表征和图像表征在两类题目上有不同的含义。六年级学生的解题成绩及图式表征有显著的提高,但图像表征与年级因素无关。差生的图式表征能力很差,而在视觉化题目上使用图像表征显著地多于优生及中等生。在非视觉化题目的非视觉空间表征与图式表征之间的转换灵活性上,优生表现了明显的优势。     

Transcoding abilities in typical and atypical mathematics achievers: The role of working memory and procedural and lexical competencies

Transcoding between numerical systems is one of the most basic abilities acquired by children during their early school years. One important topic that requires further exploration is how mathematics proficiency can affect number transcoding. The aim of the current study was to investigate transcoding abilities (i.e., reading Arabic numerals and writing dictation) in Brazilian children with and without mathematics difficulties, focusing on different school grades. We observed that children with learning difficulties in mathematics demonstrated lower achievement in number transcoding in both early and middle elementary school. In early elementary school, difficulties were observed in both the basic numerical lexicon and the management of numerical syntax. In middle elementary school, difficulties appeared mainly in the transcoding of more complex numbers. An error analysis revealed that the children with mathematics difficulties struggled mainly with the acquisition of transcoding rules. Although we confirmed the previous evidence on the impact of working memory capacity on number transcoding, we found that it did not fully account for the observed group differences. The results are discussed in the context of a maturational lag in number transcoding ability in children with mathematics difficulties.     

Attitudes toward suicide in Japanese and American medical students.

The Suicide Opinion Questionnaire (SOQ) was administered to two samples of medical school students, from Japan (n = 80 males and 20 females) and the United States (n = 80 males and 20 females). A MANOVA followed by univariate tests indicated significant differences on the Right to die, Normality, and Aggression scales between Japanese and United States students, and significant gender differences on the Religion and Impulsivity scales. No gender by nationality interaction was obtained. An analysis of the individual SOQ items revealed substantial differences between Japanese and United States medical students in their views on suicide.     

Classroom Interactions: Gender of Teacher,Gender of Student,and Classroom Subject

An observational study investigated the effects of gender of teacher, gender of student, and classroom subject (mathematics vs. English literature/language) on teacher–student interactions. A total of 597 high school students (294 males and 303 females) and 36 teachers (28 males and 8 females) were observed in either 18 mathematics classes or 18 literature/language classes. Students and teachers were predominately Caucasian, with the majority of students from a lower- or middle-class background. Observations were coded using the interactions for sex equity in classroom teaching (INTERSECT) observational instrument. It was found that female mathematics teachers, male literature/language teachers, and female literature/language teachers tended to interact somewhat more with male students than with female students. This tendency was not the result of male students having initiated more direct verbal interactions with teachers.     

Gender Differences in Illusion Response: The Influence of Spatial Strategy and Sex Ratio

Two experiments explored factors related to gender differences in Ponzo illusion susceptibility. In Experiment 1, 54 male and 54 female (predominantly white, middle class) undergraduates were administered Witkin's Embedded Figures Test (EFT) and, on 2 separate occasions, a form of the Ponzo illusion. Results showed the Ponzo to be quite reliable over several days. Females were significantly more field dependent (as shown by slower responses to the EFT), and significantly more susceptible to the Ponzo illusion, than males. Furthermore, EFT performance correlated significantly with Ponzo susceptibility for females, but not for males, suggesting that the difference between males and females in Ponzo response may be due not to differences in field independence per se, but rather to differences in the strategies used to solve the illusion task. In Experiment 2, 111 male and 148 female (predominantly white, middle class) undergraduates were administered the Ponzo illusion twice, the 2 administrations separated by about 90 min. Again, the illusion task showed good reliability, and females were significantly more susceptible to the illusion. Furthermore, the magnitude of the difference between males and females was systematically related to the sex ratio (the ratio of the number of males to the number of females) of the particular session in which each subject happened to be participating. It is suggested that social factors such as sex ratio might affect the strategies participants use when doing illusion tasks, and perhaps other spatial skills tasks as well.     

Sex differences and the factor of time in solving Vandenberg and Kuse mental rotation problems

In accounting for the well-established sex differences on mental rotation tasks that involve cube stimuli of the Shepard and Metzler (Shepard & Metzler, 1971) kind, performance factors are frequently invoked. Three studies are presented that examine performance factors. In Study 1, analyses of the performance of a large number of subjects (n=1765) that performed the Vandenberg and Kuse (1976) mental rotation test (MRT) under standard conditions showed that the magnitude of the sex differences increases as subjects proceed through the sequence of problems, and that fewer females than males reach the last problems in a problem set. This supports the role of time constraints in sex differences on the MRT. Study 2 compared the magnitude of sex differences for subjects (n=212) who did the MRT under standard conditions (T1), and with double the time (T2) allowed for the test. No significant reduction in the magnitude of sex differences was observed-even though the overall scores under T2 increased markedly for both sexes. Study 3 examined the suggestion by that mental rotation differences arise because females spend more time than males in assuring that stimuli that do not match do indeed not match, with no sex differences for matching stimuli. This hypothesis was not supported for a sample of 20 males and 26 females. We conclude that performance factors may play a role in sex difference on mental rotation tasks, but do not account for all of the differences.     

Motivation for Reading and Middle School Students' Performance on Standardized Testing in Reading

This study examined middle school students' reading motivation and its relations to their performance on a standardized test (ISTEP+) in reading. Participants included 388 sixth- and eighth-grade students from two public middle schools. There were 229 females and 159 males. Participants responded to the Reading Motivation Questionnaire after they had completed the ISTEP+ test. Results showed that students who had high self-efficacy in their reading, read challenging material, and read for aesthetic enjoyment did better on the ISTEP+ test. Students who read mostly for social reasons did poorly on the ISTEP+ test. Grade, gender, and racial differences were found.     

The prevalence of specific learning disorder in mathematics and comorbidity with other developmental disorders in primary school-age children

Mathematics difficulties are common in both children and adults, and they can have a great impact on people's lives. A specific learning disorder in mathematics (SLDM or developmental dyscalculia) is a special case of persistent mathematics difficulties, where the problems with maths cannot be attributed to environmental factors, intellectual disability, or mental, neurological or physical disorders. The aim of the current study was to estimate the prevalence rate of SLDM, any gender differences in SLDM, and the most common comorbid conditions. The DSM-5 provides details regarding these only for specific learning disorders in general, but not specifically for SLDM. We also compared the prevalence rates obtained on the basis of the DSM-IV and DSM-5 criteria. We investigated the performance of 2,421 primary school children on standardized tests of mathematics, English, and IQ, and several demographic factors over the primary school years. We applied the DSM-5 diagnostic criteria to identify children with a potential diagnosis of SLDM. Six per cent of our sample had persistent, severe difficulties with mathematics, and, after applying the exclusion criteria, 5.7% were identified as having an SLDM profile. Both persistent maths difficulties and consistently exceptionally high performance in maths were equally common in males and females. About half of the children with an SLDM profile had some form of language or communication difficulty. Some of these children also had a diagnosis of autism, social, emotional, and behavioural difficulties or attention deficit and hyperactivity disorder. Our findings have important implications for research and intervention purposes, which we discuss in the study.     

The interest gap: how gender stereotype endorsement about abilities predicts differences in academic interests

This study used a novel approach to examine the link between gender ability stereotype endorsement and academic interests by examining not only stereotypes people hold within the domains of mathematics and language arts, but also between them. Grade 6 and 8 students (285 males, 363 females) reported their degree of stereotype endorsement and interest in these two academic domains. Results of path analyses revealed that stereotype endorsement within and between domains accounted for gender differences in interest. In language arts, endorsing a stereotype that females are more competent than males predicted subsequent interest in the domain and accounted for the greater language arts interest among females. In mathematics, however, the perception that males are more competent in mathematics relative to language arts was linked to students’ interest in this domain and accounted for the interest gap between genders. These results suggest that students’ interests relate to endorsed stereotypes that are either driven by a perceived gender superiority within one domain—when females are viewed as more competent than males in language arts—or a gender superiority between two domains—when males are viewed as more competent in mathematics relative to language arts. Considering not only stereotypes favoring a gender within one domain, but also between domains, provides a more accurate portrait of students’ actual stereotypes and can be useful to better understanding how the interest gap emerges.