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成功期望與興趣價值對數學成就的動態影響:動態結構方程模型分析

Dynamic Effect of Success Expectation and Interest Value on Mathematic Achievement: Dynamic Structural Equation Model Analysis

摘要


本研究以期望價值理論為架構,透過動態結構方程模型分析,瞭解成功期望與興趣價值對數學成就的動態影響。本研究透過經驗採樣方法蒐集國小46位高年級學生,在成功期望與興趣價值兩個變項的密集性追蹤資料,總共100波次,並在課程結束後施測標準化數學成就測驗。經由分析發現,在個體內層次成功期望與興趣價值存在一階自我迴歸,且成功期望與興趣價值也存在一階向量自迴歸,而在個體間層次成功期望正向影響數學成就,興趣價值負向影響數學成就,但是興趣價值對成功期望一階向量自迴歸的隨機變異正向影響數學成就。依據研究結果提出建議,供實務應用及未來研究參考。

並列摘要


This research is based on expectancy-value theory. Through an analysis using dynamic structural equation model, we clarified the dynamic effect of success expectation and interest value on mathematic achievement. We employed empirical sampling to collect intensive longitudinal data from 46 elementary school students. A standardized mathematic achievement test was administered after the course. The analysis revealed an autocorrelation and a cross-lagged effect between success expectation and interest value at the within-person level. At the between-person level, success expectation positively affected mathematic achievement, whereas interest value negatively affected mathematic achievement. However, the random slope related to the cross-lag effect of success expectation positively affected mathematic achievement. On the basis of the study results, suggestions were provided for practical application and future research.

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. 】
陳敏瑜、游錦雲(2013)。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。教育科學研究期刊,58(3),153-186。 【Chen, M.-Y., & Yu, C.-Y. (2013). Using trends in mathematics and science study to investigate the effects of ability beliefs and task values on eighth-grader mathematics achievements in Taiwan. Journal of Research in Education Sciences, 58(3), 153-186. 】
陳敏瑜、游錦雲(2017)。學生知覺教師期望、能力信念、實用價值與內在價值對臺灣八年級學生數理成就之影響:以TIMSS 2011多層次結構方程式模型為例。教育科學研究期刊,62(1),59-102。 【Chen, M.-Y., & Yu, C.-Y. (2017). Effects of perception of teachers' expectations, ability beliefs, utility values, and intrinsic values on math and science achievement among eighth-grade students in Taiwan: A multilevel structural equation model using TIMSS 2011. Journal of Research in Education Sciences, 62(1), 59-102. 】
Ahmed, W., Minnaert, A., van der Werf, G., & Kuyper, H. (2010). Perceived social support and early adolescents' achievement: The mediational roles of motivational beliefs and emotions. Journal of Youth and Adolescence, 39, 36-46.
Asparouhov, T., & Muthén, B. (2019). Latent variable centering of predictors and mediators in multilevel and time-series models. Structural Equation Modeling: A Multidisciplinary Journal, 26(1), 119-142.

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