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以TIMSS資料檢視能力信念與任務價值對臺灣八年級學生數學成就之影響

Using Trends in Mathematics and Science Study to Investigate the Effects of Ability Beliefs and Task Values on Eighth-Grader Mathematics Achievements in Taiwan

摘要


本研究使用國際數學與科學成就趨勢調查(Trends in International Mathematics and ScienceStudy,TIMSS)2007年臺灣八年級學生的資料,以期望價值理論為架構,先進行能力信念與價值相關構面及題項的信度與效度分析,接續探討這些構面對數學成就之影響,並以多群組結構方程模型分析男、女生模型之差異。研究發現,數學能力信念、實用與內在價值三構面及其對應的題項都有良好的信度與效度,三構面中以能力信念的預測力最高,能解釋數學成就約三成六的變異量。男、女生模型在因素負荷量、題項截距、路徑係數及因素變異數/共變異數上皆具跨性別不變性,不過,在構面平均數上,男生的數學能力信念、實用與內在價值的平均數都顯著較女生高,且以在能力信念的差異最大。最後依據結果提出實務應用及未來研究上的建議。

並列摘要


Based on expectancy-value theory, we applied trends in mathematics and science study (TIMSS) data to investigate the reliability and validity of items relating to ability beliefs and task values, examine their effects on mathematical achievements, and test gender invariance in the proposed models by using multiple-group structural equation modeling. The results supported a three-factor solution reflecting ability beliefs, utility values, and intrinsic values. These factors and corresponding items all possessed strong reliability and validity. Among the three factors, ability beliefs exerted the strongest effect on mathematical achievements, explaining 36% of the variance of mathematical achievements. Gender invariance evidence was exhibited in the factor loadings, item intercepts, path coefficients, and factor variance/covariance. However, comparisons of latent factor means suggested that boys had significantly high mean scores regarding ability beliefs, utility values, and intrinsic values. Finally, suggestions for practical applications and future research are provided.

參考文獻


林志哲(2007)。以結構方程模式驗證期望、價值與數學成就的關係。教育學刊,29,103-127。 【Lin, C.-C. (2007). The verification of relationship among expectancy, value, and mathematic achievement by structural equation modeling. Educational Review, 29, 103-127.】
林章榜(2007)。運動教育模式對提昇運動期望與價值信念之研究。體育學報,40(3), 115-127。 【Lin, C.-P. (2007). The study of sport education model improved expectancy and value beliefs in sport. Physical Education Journal, 40(3), 115-127.】
黃秋華(2007)。從期望價值論驗證數學自我概念,效用性價值與數學成就之結構關係-以PISA 2003香港資料為例(未出版碩士論文)。國立政治大學,臺北市。 【Huang, C.-H. (2007). Using the expectancy-value theory to investigate the structural relationship of mathematics self-concept, utility value and mathematics achievement-PISA 2003 Hong Kong data (Unpublished master’s thesis). National Chengchi University, Taipei, Taiwan.】
Anderson, J. C., & Gerbing, D. W. (1988). Structural equation modeling in practice: A review and recommended two-step approach. Psychological Bulletin, 103(3), 411-423. doi:10.1037//0033- 2909.103.3.411
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