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喜欢数学还是觉得自己在数学方面有能力?对数学成绩和感知的数学努力付出的相互影响。

Enjoying mathematics or feeling competent in mathematics? Reciprocal effects on mathematics achievement and perceived math effort expenditure.

机构信息

Centre for Educational Effectiveness and Evaluation, KU Leuven, Belgium.

出版信息

Br J Educ Psychol. 2014 Mar;84(Pt 1):152-74. doi: 10.1111/bjep.12028. Epub 2013 Aug 12.

DOI:10.1111/bjep.12028
PMID:24547759
Abstract

BACKGROUND

The multidimensionality of the academic self-concept in terms of domain specificity has been well established in previous studies, whereas its multidimensionality in terms of motivational functions (the so-called affect-competence separation) needs further examination.

AIM

This study aims at exploring differential effects of enjoyment and competence beliefs on two external validity criteria in the field of mathematics.

SAMPLE

Data analysed in this study were part of a large-scale longitudinal research project. Following a five-wave design, math enjoyment, math competence beliefs, math achievement, and perceived math effort expenditure measures were repeatedly collected from a cohort of 4,724 pupils in Grades 3-7.

METHOD

Confirmatory factor analysis (CFA) was used to test the internal factor structure of the math self-concept. Additionally, a series of nested models was tested using structural equation modelling to examine longitudinal reciprocal interrelations between math competence beliefs and math enjoyment on the one hand and math achievement and perceived math effort expenditure on the other.

RESULTS

Our results showed that CFA models with separate factors for math enjoyment and math competence beliefs fit the data substantially better than models without it. Furthermore, differential relationships between both constructs and the two educational outcomes were observed. Math competence beliefs had positive effects on math achievement and negative effects on perceived math effort expenditure. Math enjoyment had (mild) positive effects on subsequent perceived effort expenditure and math competence beliefs.

CONCLUSION

This study provides further support for the affect-competence separation. Theoretical issues regarding adequate conceptualization and practical consequences for practitioners are discussed.

摘要

背景

在先前的研究中,学术自我概念在领域特异性方面的多维性已经得到了很好的证实,而其在动机功能方面的多维性(即所谓的情感-能力分离)需要进一步研究。

目的

本研究旨在探讨在数学领域,享受和能力信念对两个外部有效性标准的差异影响。

样本

本研究分析的数据是一个大规模纵向研究项目的一部分。在一个五波设计中,从 3 到 7 年级的 4724 名学生中反复收集了数学享受、数学能力信念、数学成绩和感知数学努力支出的测量值。

方法

验证性因素分析(CFA)用于测试数学自我概念的内部因素结构。此外,使用结构方程模型测试了一系列嵌套模型,以检验数学能力信念和数学享受与数学成绩和感知数学努力支出之间的纵向互惠关系。

结果

我们的结果表明,具有数学享受和数学能力信念单独因素的 CFA 模型比没有这些因素的模型更符合数据。此外,还观察到了这两个结构与两个教育结果之间的差异关系。数学能力信念对数学成绩有积极影响,对感知数学努力支出有消极影响。数学享受对后续感知的努力支出和数学能力信念有(轻微)积极影响。

结论

本研究进一步支持了情感-能力分离。讨论了关于适当概念化的理论问题和对实践者的实际影响。

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