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1.
We examined to what extent children’s development of arithmetic fluency and mathematical problem-solving was influenced by their math self-concept, math self-efficacy, and math anxiety but also teacher competence, specifically: actual teaching behavior, self-efficacy, and mathematical teaching knowledge. Participants were 610 children and 31 teachers of grade four. Multi-level analyses showed children’s math self-concept to be a positive predictor of arithmetic fluency and actual teaching behavior to be a negative predictor. The development of mathematical problem-solving was predicted: positively by mathematical teaching knowledge; negatively by actual teaching behavior and teachers’ self-efficacy; and not at all by the child factors of math self-concept, math self-efficacy, or math anxiety. Promoting the self-confidence of young children is essential for their mathematical development. More research into the relationship between teaching behaviors and children’s math development is needed.  相似文献   

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The present study explored the direct and indirect (serial multiple mediation of math self-efficacy and math enjoyment) effects of perceived parental math support on middle school students’ math engagement. A total of 374 middle school students ranging the age of 11 to 15 years completed a set of questionnaires assessing perceived parental math support, math self-efficacy, math enjoyment, and math engagement. In the analysis of structural model, a multiple-step multiple mediation analysis was employed. The findings indicated that perceived parental math support was directly and positively associated with math engagement. Additionally, math self-efficacy and math enjoyment sequentially mediated the relationship between parental math support and math engagement. The limitations and implications of the results are discussed and suggestions for future research are proposed.

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This study investigated to what extent primary school teachers’ perceptions of their students’ ability and effort predict developmental changes in children’s self-concepts of ability in math and reading after controlling for students’ academic performance and general intelligence. Three cohorts (N?=?849) of elementary school children and their teachers were followed for four years. Children’s self-concepts and performance ability in math and reading were measured annually during Waves 2–4. Teachers rated the children’s ability and effort at each of the four waves. Domain-specific differences and developmental changes could be identified in the associations between teachers’ perceptions and children’s ability self-concepts. Teachers’ ability perceptions predicted children’s concurrent and subsequent ability self-concepts in math and reading, whereas teachers’ effort perceptions predicted children’s math ability self-concept only at Wave 4. Analyses with multi-sample procedure showed that these models were similar for boys and girls and for children in different cohort groups.  相似文献   

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The present longitudinal study examined the cross-lagged relations between parental causal attributions of children’s math success to children’s ability, parental help, children’s math performance and task persistence. A total of 735 children, their mothers, fathers and teachers were assessed twice – at the end of the second and the third grades. Children were tested in math and parents filled out questionnaires measuring causal attributions. Children’s task persistence was reported both by parents and by class teachers. The results of path analyses indicated mutual negative effects between mothers’ and fathers’ help attributions and children’s math performance, and a positive effect of mothers’ ability attributions on children’s math performance. Cross-lagged relations were also found for children’s math performance and task persistence. However, relations between parental attributions and children’s task persistence were evident only for fathers’ ability attributions. The findings emphasise the importance of examining both mothers and fathers, home and school context.  相似文献   

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As careers in science, technology, engineering, and math (STEM) continue to grow, so has attention to Algebra 1 enrollment timing that serves as a critical predictor of STEM success. The present study adds to the literature by examining if Algebra 1 enrollment timing from 8th to 9th grade is related to sense of belonging in math, and whether this association changes as a function of the students’ perceived school and math race/ethnic context. To capture the dynamic nature of these contexts, we examined racial/ethnic incongruence, or the difference in the perceived number of same-race/ethnic peers in math class and the school of Black, White, Latino, and Asian students. Mixed effects linear modeling analyses were conducted on a sample of 2,938 participants (46% males; 54% females) who attended 26 racially/ethnically diverse middle schools and who transitioned to 142 public high schools in California. The results showed that enrolling and successfully passing 8th Algebra was protective for sense of belonging but this association depended on students’ race/ethnicity and the racial/ethnic incongruence between the math class and school context. Findings have important implications for math education, teaching, and policy.  相似文献   

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A large number of children are today receiving special education in Norway. The high cost to society and possible long-term consequences for the students make it important to understand the interrelationship of the causes and effects related to receiving special education services. Unfortunately, at present there are only few rigorous studies of the effects of receiving special education services. This study examined the interrelationship between receiving special education services and students’ math and language skills in upper secondary school in Norway. Data from 2756 students in the large population-based special education study (SPEED) was used that included information from questionnaires on students’ development, learning environment and family background. Results showed that students receiving special education services had slightly lower scores on their language test but similar scores on their math test compared to the group of students not receiving special education services, when conservative methodological approaches were used to control for possible covariate bias.  相似文献   

8.
In this paper, we present an analytic framework for investigating expert mathematical learning as the process of building a network of mathematical resources by establishing relationships between different components and properties of mathematical ideas. We then use this framework to analyze the reasoning of ten mathematicians and mathematics graduate students that were asked to read and make sense of an unfamiliar, but accessible, mathematical proof in the domain of geometric topology. We find that experts are more likely to refer to definitions when questioning or explaining some aspect of the focal mathematical idea and more likely to refer to specific examples or instantiations when making sense of an unknown aspect of that idea. However, in general, they employ a variety of types of mathematical resources simultaneously. Often, these combinations are used to deconstruct the mathematical idea in order to isolate, identify, and explore its subcomponents. Some common patterns in the ways experts combined these resources are presented, and we consider implications for education.  相似文献   

9.
Games are frequently used to promote math learning, yet the competitive and collaborative contexts introduced by games may exacerbate gender differences. In this study, 1st and 2nd grade children in the U.S. (ages 5–8; N = 274; 70% White, 15% Asian, 2% Black, 1% Native American, 14% mixed or other race; 17% Hispanic) played either a competitive, collaborative, or solo game to learn about a challenging novel math concept: proportion. Overall, both social contexts boosted perseverance and task attitudes. However, analyses revealed the competitive condition yielded gender differences in attention to proportion in the presence of competing cues, with older boys underperforming in the competition condition. Potential explanations for these findings, as well as implications for classroom math learning, are discussed.  相似文献   

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Social cognitive theory posits that teacher self-efficacy beliefs should be related to not only their own well-being outcomes but also classroom processes and student outcomes in the general ecology of the classroom environment. However, little research has directly examined the associations of teachers’ self-efficacy beliefs with these teacher and student-level outcomes simultaneously. The present study proposes and tests an integrative model of the relations of teachers’ self-efficacy for teaching math with their job satisfaction and student math achievement both directly and indirectly via interaction quality as a critical dimension of the quality of classroom processes. Additionally, student level relational and motivational predictors of math achievement, including individual perceptions of student-teacher interaction quality and math self-concept, are included per the ecology of the classroom environment. Based on data from over 6000 4th grade students and 450 teachers, results of multilevel structural equation modeling revealed that teachers’ self-efficacy beliefs for teaching math were positively associated with teachers’ job satisfaction and class levles of math achievement and interaction quality. At the individual student level, individual levels of math self-concept were positively associated with math achievement, and individual perceptions of interaction quality were positively associated with math self-concept. However, a negative association between residualized interindividual perceptions of interaction quality and math achievement was observed.  相似文献   

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The aims of this study were to examine changes in students’ English and math self-concepts and to investigate the effects of gender and school ability level on these changes. Self-concept in English and math were measured thrice across three years among a sample of 2618 secondary school students from Hong Kong. Gender and school ability level were included as time-invariant predictors. Results indicated that students’ English self-concept slightly increased across time, while math self-concept marginally declined. Gender influenced both the initial levels and rates of change for English and math self-concepts, while school ability level predicted initial levels of self-concept. Implications are discussed.  相似文献   

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Previous research suggests that in classes that take an integrated approach to science, technology, engineering, and math (STEM) education, students tend to engage in fulfilling goals of their engineering design challenges, but only inconsistently engage with the related math and science content. The present research examines these inconsistences by focusing on student engagement, or effort, towards math and science concepts while working on an engineering challenge, through the lens of expectancy-value theory. Specifically, we examine how students’ perceptions of the value of math and science and expectancy for success with the math and science relate to the efforts they put towards using math and science while working on engineering challenges. Our results suggest that subjective task value significantly predicts efforts towards both math and science, whereas neither expectancy, nor the interaction between expectancy and value predicted effort. We argue that integrated learning environments need to help students understand how the domains of math, science, and engineering support their work in fulfilling the engineering project design goals. In other words, we argue that we, as educators, must help students to recognise the value of each of the domains addressed within STEM integrated learning environments. This paper discusses strategies for accomplishing this goal.  相似文献   

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This study analyzes the relationships between cognitive appraisals, classroom and test emotions, and math achievement in a sample of 1219 Portuguese students from the 6th and 8th grades. Participants completed measures of perceived value, perceived competence, and seven math achievement emotions (boredom, hopelessness, anger, anxiety, enjoyment, pride, and relief) experienced in two different settings: classroom and tests. Math achievement was obtained from school records. Results showed significant associations between student competence and value appraisals, their emotional experiences in test and classroom situations, and their math achievement. However, when emotions were considered simultaneously in structural equation modeling, only anger in test situations and hopelessness were significant negative predictors of students’ math achievement. Hopelessness appears to play a particular role in the interplay between cognitive appraisals, emotions, and academic achievement as it is the only emotion that relates to math achievement both in test and classroom situations. Furthermore, findings also support the existence of differences in the relationships between cognitive appraisals and the achievement emotions students experience in these two settings.  相似文献   

16.
We examine the effect of students' perceptions of teacher support on attitudes towards math and whether the association varies between students from historically underrepresented groups in STEM. Participants included high school students enrolled in an AP Statistics course (N = 585, Mage = 16.75 years, SDage = 0.88). Measurement invariance conducted on the basis of student background characteristics (i.e., biological sex, underrepresented race/ethnicity status, and parental educational attainment) provided evidence of metric invariance or greater. Standardized regression coefficients suggested potential differences, such that for students who were female, from an underrepresented racial/ethnicity group in STEM, or had parents with lower levels of education, the effect of teacher support appeared not as strong compared to their counterparts. However, scaled chi-square difference tests comparing nested latent path models did not suggest a moderation effect of these three characteristics. These findings have implications for understanding barriers many students face in receiving the benefits of teacher support.  相似文献   

17.
A negative correlation between mathematics performance and mathematics anxiety (MA) has been identified in students of varying ages. However, little is known as to whether this correlation diminishes when environmental factors are incorporated as moderator variables.Specifically, the effect of home numeracy activities (HNA) and parental MA on students’ performance-MA relationship has received little attention. Furthermore, there have been no studies that consider HNA frequency as reported by the children themselves. A sample of 311 Chilean second graders and their parents participated in the present study. We examined whether HNA frequency moderates the performance-MA relationship and whether this moderation is in turn moderated by parent MA. Results showed that the frequency of HNA strengthened or diminished the negative correlation between performance and MA as a function of parent MA. In the case of parents with low MA, regardless of HNA frequency, child mathematics performance was negatively associated with child MA. However, in the case of math-anxious parents that interacted frequently with their children, there was no association between child MA and math achievement. More broadly, the present study suggests that mathematics-related family dynamics and parents’ emotions are key to understanding the relationship between performance and MA in early development.  相似文献   

18.
The effects of training in self-regulation on metacognition and math achievement were investigated. The participants were 116 community college students enrolled in developmental math courses. Students enrolled in 16 classrooms were randomly assigned to the treatment and control groups. Participants in the treatment group completed four self-regulated learning (SRL) exercises based on Zimmerman’s (2002) cyclical model. The exercises were completed weekly and repeated for a total of 3 weeks. During the last week of class, participants completed a final exam to measure math achievement as well as the metacognitive self-regulation and time/study environment management scales on the Motivated Strategies for Learning Questionnaire ([MSLQ], Pintrich, Smith, Garcia, & McKeachie, 1991). There were significant differences between the two groups, indicating that training in SRL improved math achievement and metacognitive skills assessed on both MSLQ scales. The findings suggested that training in SRL improves math achievement, metacognitive self-regulation and time/study environmental management skills of students enrolled in developmental math courses.  相似文献   

19.
Statistics is an important subject in psychology and social science education. However, inadequate mathematical skills can pose a barrier to learning statistics. Some educators have suggested that students’ math skills are declining. The present research examined trends in the math skills of psychology undergraduates across 21 years. Students (n = 3735) who were enrolled in an introductory psychology statistics course from 1990 to 2011 completed a pencil-and-paper math skills test. Over the 21-year period, there was a 9% decline in math skills scores and a 28% increase in the number of attempts required to pass the test. Consistent with national trends, SAT Math scores also increased by 7%; however, the pencil-and-paper math skills test was nearly twice as predictive of course performance as was the SAT. Results suggest that important math abilities have declined. Implications for statistical education in the social sciences are discussed.  相似文献   

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