Mathematics beliefs and instructional strategies in achievement of elementary-school students in Japan: results from the TIMSS 2003 assessment

Recent findings concerning mathematics assessment indicate that students in Japan consistently score above international averages. Researchers have examined specific mathematics beliefs and instructional strategies associated with mathematics achievement for students in Japan. This study examined relationships among self-beliefs, classroom instructional strategies, and mathematics achievement for a large national sample of students (N=4,207) from the TIMSS 2003 international sample of fourth graders in Japan. Several significant relationships between mathematics beliefs and test scores were found; a number of classroom teaching strategies were also significantly associated with test scores. However, multiple regression using the complete set of five mathematics beliefs and five instructional strategies explained only 25.1% of the variance in mathematics achievement test scores.     

Mathematics beliefs and achievement of elementary school students in Japan and the United States: results from the Third International Mathematics and Science Study

Student self-beliefs are significantly related to several types of academic achievement. In addition, results from international assessments have indicated that students in Japan have typically scored above international averages (D. L. Kelly, I. V. S. Mullis, & M. O. Martin, 2000). In this study, the author examined relationships between mathematics beliefs and achievement of elementary school-aged students in the United States and Japan. The students had participated in the Third International Mathematics and Science Study (TIMSS; A. E. Beaton et al., 1996). The author examined several self-beliefs and used variance estimation techniques for complex sampling designs. The author identified a number of significant relationships between self-beliefs and mathematics achievement. Students who attributed success in mathematics to controllable factors (e.g., hard work, studying at home) showed higher test scores whereas students who attributed success in mathematics at school to external factors (e.g., good luck) tended to earn lower mathematics test scores. These results extend the findings of previous research results because the author examined large national samples of students in cross-cultural settings as part of a comprehensive international assessment.     

中小学生创造性倾向、智力及学业成绩的相关研究

本研究采用威廉斯创造性倾向量表和瑞文标准推理测验,结合中小学生语文、数学成绩,对524名中小学生进行创造性倾向、智力和学业成绩的相关研究.研究发现:(1)中小学生创造性倾向从小学到初中都处于发展阶段,高中以后基本趋于稳定,中小学生的智力一直处于发展增长趋势;(2)小学生的语文、数学成绩与创造性倾向总分有显著相关,初中生的数学成绩与创造性倾向总分以及四项行为特质都有显著相关,小学、初中和高中学生的语文、数学成绩与智力有显著相关;(3)小学中、低分段语文成绩和低分段数学成绩与其创造性倾向有显著相关,初中学生的语文成绩只有高分段与创造性倾向有显著相关,小学和高中语、数成绩三个分段学生的学业成绩跟智力显著相关.     

A preliminary study of achievement, attitudes toward success in mathematics, and mathematics anxiety with technology-based instruction in brief calculus

This study was designed to compare achievement, attitudes toward success in mathematics, and mathematics anxiety of college students taught brief calculus using a graphic calculator, with the achievement and attitudes and anxiety of students taught using the computer algebra system Maple, using a technology based text book. 50 men and 50 women, students in three classes at a large public university in the southwestern United States, participated. Students' achievement in brief calculus was measured by performance on a teacher-made achievement test given at the end of the study. Analysis of variance showed no significant difference in achievement between the groups. To measure change in attitudes and anxiety, responses to paper-and-pencil inventories indicated significant differences in favor of students using the computer.     

Cross-cultural validity of the developmental test of visual-motor integration

For 28 mildly handicapped Japanese students visual-motor integration scores were significantly correlated with both mathematics and reading scores, which substantiates the test's cross-cultural validity. Although slightly larger correlations with mathematics achievement than with reading achievement were noted in both cultures, the differences between reading and mathematics correlations were not significant for Japanese children. In contrast, in at least one American study the correlation between the visual-motor integration scores and mathematics achievement was significantly greater than that between the test and reading achievement. It is clear that further research with larger samples for both American and Japanese groups is essential.     

Motivation of men and women in mathematics and language

Based on the multiple goal perspective it is argued that mastery and performance goals contribute to different motivational variables-mastery goals to self-efficacy and performance goals to social comparison-that contribute through affect to achievement. The first aim of this study was to determine whether this model is applicable irrespective of sex and subject. The expected relationships occurred for female students studying Dutch and mathematics, and for male students studying Dutch. The second aim was to test a model in which the perceived gender appropriateness of the subject affects the pursued achievement goal. We expected that subjects perceived as gender-appropriate--Dutch for female and mathematics for male students--would result in strong relationships between mastery goals, self-efficacy, affect, and achievement, and that less gender-appropriate subjects--mathematics for women and Dutch for men--would result in strong relationships between performance goals, social comparison, affect, and achievement. Several of the expected relationships occurred for female and males students studying Dutch and mathematics. Furthermore, female students obtained higher course grades in Dutch than male students, while male students studying mathematics scored higher on self-efficacy and affect than female students.     

Relations among competence beliefs,utility value,achievement goals,and effort in mathematics

Background. Research has shown that motivation is a key factor in the learning process as well as in school achievement. In essence, a number of researchers have highlighted the close link between motivation and achievement‐related behaviours such as effort. Aims. The present study aims to acquire more specific information concerning the relations between competence beliefs, utility value and achievement goals in mathematics among secondary school students, to further document the influence of social agents, and to better understand the relationships between these variables, as well as to effort. Sample. Participants were 759 Grade 7 to Grade 11 students (389 males, 370 females). Method. Structural equation modelling techniques were used to test a model of achievement‐related behaviours (effort) in mathematics based on support from social agents, competence beliefs, utility value and achievement goals. Several self‐reported scales were administered. Results. Results indicate that effort in mathematics is mainly explained by mastery goals and competence beliefs. As for the role of social agents, results demonstrated that the perception of parental support chiefly explained variables associated with the valuing of mathematics while teachers' support acted most on competence beliefs. Conclusions. Two main conclusions stem from our results. First, mastery goals have an important and significant impact on students' effort in the learning of mathematics. Second, the nature and the strength of the relationships between competence beliefs, utility value, achievement goals and effort are not significantly influenced by age and gender, at least in mathematics.     

Gender and racial differences in mathematical performance

The authors examined gender and racial differences in mathematics performance among 5th- and 8th-grade students in the United States. Math performance was assessed by scores on the math-concepts and math-computation sections of the California Achievement Test (CTB/McGraw-Hill, 1986) given at the end of the previous year. There were no significant gender differences, but in both grades, the White students scored significantly higher than the Black students. The racial differences were more pronounced in the scores for concepts than in the scores for computation. Responses to a parent questionnaire showed significant relationships between parents' self-reported math anxiety, parents' most advanced math course, and parents' education level in relation to the child's math performance. Differences in these relationships suggest that, although parents' beliefs and attitudes about math influence their child's math performance, the relationship is complex and may vary with race.     

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。     

教师课堂教学行为对学生学业成绩的影响:一个跨文化研究

教师一向被认为是影响学生学业成绩的重要因素。本研究采用第三次国际数学和科学研究TIMSS2003中的数据,以学生数学成绩为因变量,教师课堂教学行为为自变量,使用多层线性回归的方法,比较了美国、瑞典、日本和香港这四个国家(地区)教师课堂教学行为对学生学业成绩的影响。研究结果发现,教师特定的行为因素,教学的准备、对作业的重视、对考试的重视、对推理和问题解决的重视、电脑的使用确实能有效影响美国和瑞典的学生成绩,但对两个亚洲国家(地区)没有影响;教师的性别、教龄、教育水平、所学专业和教师资格再次被证实对学生成绩没有显著影响;学生的家庭和自身的因素(如学生年龄、性别、完成作业的时间,对数学的自信和对数学的评价)能够对学生成绩产生重要影响。     

Family and ability correlates of academic achievement

Relationships were examined among family social status, family learning environments, intellectual ability, and the mathematics and word achievement of boys and girls. Data were collected from 516 (250 boys, 266 girls) 11-yr.-old Australian children and their parents. Analysis indicated that the relationships between the predictor and achievement variables varied for boys and girls and differed depending on the achievement measure being examined. Generally, the family and ability measures combined to have large associations with word scores, while intellectual ability was the only significant predictor of mathematics achievement.     

National Differences in Work Attitudes Between the UK and Germany

Abstract

In a comparative study involving approximately 900 UK and German adults, an attempt was made to explore the strength of the relationships between diverse but related work attitudes and to examine national differences in work attitudes, which may be related to economic growth. The UK sample preferred business-oriented occupations, rather than the professions—medicine, social work and teaching—(jobs in which Germans expressed higher interest) and was characterized by higher scores on work ethic, achievement motivation, competitiveness, and achievement/conformity, but lower scores on positive attitudes to savings. No significant difference was observed in terms of financial beliefs (valuation of money) or mastery. Work attitude and occupational interest were intimately interrelated, although the relationship was significantly moderated by gender. Socio-historical economic and political origins of these similarities and differences are discussed, along with the theoretical and methodological implications of these findings.     

初中生数学成绩、数学学业能力自我概念与数学学业情绪的关系

采用学业情绪问卷、数学学业自我概念问卷调查了370名初中学生,以探讨初中生数学学业情绪特点及其与数学成绩、数学学业能力自我概念间的关系。结果发现：（1）除积极高唤醒情绪外的其它数学学业情绪在性别上差异显著,除消极高唤醒外的其它情绪在年级上差异显著。（2）数学成绩通过数学学业能力自我概念间接预测四类数学学业情绪。结论是,初中男生数学积极情绪多于女生,女生数学消极情绪多于男生,积极情绪随年级下降,消极情绪随年级上升;初中生数学学业能力自我概念在数学成绩和数学学业情绪间起完全中介作用。     

Ethnicity,school attitudes,intelligence and academic achievement

Regression surface analysis was used to examine relations between school-related attitudes and measures of academic achievement at different levels of intellectual ability, for children from different Australian ethnic groups. The sample included 660 eleven-year-old children from lower social status families, with 250 Anglo Australian children, 170 Greek, 120 Southern Italian, and 120 English children. Regression surfaces were constructed from models that examined possible linear, interaction, and curvilinear relations between the variables. The findings suggest the propositions that: (a) at each level of intelligence, increases in the affective component of school attitudes are not associated with changes in academic achievement, (b) at each level of the affective component of school attitudes, increments in intelligence test scores are related to increases in academic achievement scores, and (c) the relations between academic achievement, intelligence, and the cognitive-behavioral component of school attitudes vary for children from different ethnic groups. The results suggest that the manipulation of the cognitive-behavioral aspects of school attitudes may influence the academic performance of low social status children from different ethnic groups but educational programs that focus on the affective components of school attitudes may not be effective in changing children's academic achievement.     

Scholastic achievement and family marital structure: Bedouin-Arab adolescents from monogamous and polygamous families in Israel

In a sample of Bedouin-Arab adolescents from monogamous and polygamous families in the Negev region of Israel, the authors examined scholastic achievement levels in the subjects of Arabic, English, Hebrew, and mathematics. There were no significant differences in the scholastic achievement levels in those 4 disciplines between adolescents from monogamous families and those from polygamous families. There was, however, a significant interaction between gender and family marital structure for Hebrew scores: Polygamous family structures tended to engender higher Hebrew scores for the male participants, whereas monogamous family structures tended to engender higher Hebrew scores for the female participants. However, the major overall finding was that polygamous family marital structures did not affect deleteriously the scholastic achievement levels of the Bedouin-Arab participants.     

Preference for numerical information and academic achievement of African-American students

Viswanathan's Preference for Numerical Information scale was used to investigate the attitudes of 236 African-American college students toward using numerical information in their thinking and problem solving. The results showed that the participants expressed a positive preference for numerical information, statistically similar in size to the preferences reported in prior research for other groups of students. Also, participants' scores correlated positively (r=.27) with their academic achievement (fraction answered correctly) on examination questions requiring the use of numerical information but were nonsignificantly related to their academic achievement on questions not requiring the use of numerical information. This pattern of correlations persisted, at reduced levels, when the effects of variations in SAT scores were partialled out. Moreover, for the men correlations between Preference for Numerical Information scores and achievement on examination questions involving numerical information significantly exceeded the correlations between the test scores and academic achievement on questions not involving numerical information. This contrasted with results obtained for women. For them, the correlations did not vary significantly by question type. Thus, for reasons yet to be uncovered, Preference for Numerical Information scores of the African-American men appear to reflect an aspect of cognitive style related to proficiency in using and manipulating numerical information.     

English learners' achievement in mathematics and science: Examining the role of self-efficacy

The goals of the current study were twofold. The first goal was to describe levels of mathematics and science self-efficacy and achievement among a sample of students with varying levels of English language proficiency. The second goal was to examine the extent to which students' self-efficacy explains the relation between their English proficiency level and mathematics and science achievement. The sample consisted of 332 fifth graders (mean age = 10.46 years, SD = 0.38) and their 63 teachers in 20 schools. The student sample was linguistically diverse with parents reporting 22 different home languages. Based on district classification procedures, each student was coded into one of three English language proficiency level categories: English proficient-speaking students (English proficient), English Learner (EL) students who are reaching proficiency, yet are still being monitored (reaching proficiency), and EL students who are receiving English for Speakers of Other Languages services (ESOL; limited English proficient). Regression analyses indicated that students identified as limited English proficient consistently demonstrated lower achievement and self-efficacy across the content areas of mathematics and science as compared to their peers who were English proficient and reaching proficiency. In addition, students' self-efficacy partially explained the relation between limited English proficiency level and achievement for science, but not for mathematics. Results indicate that educators should consider variability in students' English proficiency levels as they select supports to promote both science achievement and self-efficacy. Findings also suggest promise for practices and programs that foster self-efficacy in addition to language and content skills.     

Scholastic Achievement and Family Marital Structure: Bedouin-Arab Adolescents From Monogamous and Polygamous Families in Israel

Abstract

In a sample of Bedouin-Arab adolescents from monogamous and polygamous families in the Negev region of Israel, the authors examined scholastic achievement levels in the subjects of Arabic, English, Hebrew, and mathematics. There were no significant differences in the scholastic achievement levels in those 4 disciplines between adolescents from monogamous families and those from polygamous families. There was, however, a significant interaction between gender and family marital structure for Hebrew scores: Polygamous family structures tended to engender higher Hebrew scores for the male participants, whereas monogamous family structures tended to engender higher Hebrew scores for the female participants. However, the major overall finding was that polygamous family marital structures did not affect deleteriously the scholastic achievement levels of the Bedouin-Arab participants.     

Validity of the Woodcock-Johnson tests of cognitive ability: A comparison with the WISC-R in LD and normal elementary students

The study addresses the external validity of the Woodcock-Johnson Tests of Cognitive Ability (WJTCA) in learning disabled (LD) elementary school children by controlling for two methodological errors Woodcock identified in previous studies: (a) Intellectual ability range was restricted for both normal and LD samples to counteract an artificial inflation of mean WISC-R scores without concomitant effect on WJTCA scores, and (b) the WISC-R was readministered during data collection. In addition, normals were used as controls for LD students. WJTCA scores were correlated and compared with WISC-R scores and reading achievement test scores in 20 normal, 20 mild-to-moderate LD, and 20 severe LD third-, fourth-, and fifth-grade students. Results indicate comparability of mean WISC-R and WJTCA Full Scale scores in the normal sample, but manifest a significantly lower WJTCA Full Scale scores in the LD samples, despite a strong degree of correlation between the two tests in each sample. The significant linear trend of increasing mean WISC-R/WJTCA discrepancy across the severity of LD strongly suggests that the lower WJTCA scores in the LD samples is a function of the instrument's achievement emphasis and refutes the possibility of systematic error in the WJTCA norms. Results suggest that the WJTCA's achievement emphasis jeopardizes its validity for assessing and classifying LD students within the currently accepted and mandated ability-achievement discrepancy model of specific learning disabilities.     

小学生学业负担与数学成绩的关系研究:基于潜在剖面分析

应用潜在剖面分析方法对广州市58所学校的六年级学生数学成绩进行潜在分类,并分析不同类别学生的学业负担状况。结果表明,学生样本按数学成绩可以分为三个类别:数学成绩良好组、数学成绩中等组、数学成绩较差组。此外,学业负担的轻重对不同数学成绩层次的学生会产生不同程度的影响。