（專題）華人地區數學素養教育效率比較

作者:國家教育研究院測驗及評量研究中心鄭永福、國立臺灣師範大學科學教育研究所許瑛玿、國立臺灣師範大學科學教育中心李哲迪

卷期：63卷第4期
日期：2018年12月
頁碼：1-28
DOI：10.6209/JORIES.201812_63(4).0001

摘要：
本研究利用國際學生能力評量計畫2012年資料比較臺灣（只包括人口數大於100萬的七個大城市）、上海、香港與新加坡等四個華人地區的數學素養教育效率，並從教育效率的角度探討這四個地區數學教育的公平性。資料包絡分析法及效率分解法之分析結果顯示，臺灣與上海的「綜合效率」（含地區、學校與個人教育效率）、「地區與學校效率」與「地區系統效率」都是最高。然而，歸因於個人之無效率以臺灣與上海最高，歸因於學校之無效率在四個地區無顯著差異，歸因於地區之無效率以香港最高。在四個地區教育公平性方面，在高與低綜合教育效率學生之間，個人、學校與地區三個層級的無效率存在差異。具體而言，在個人層級，臺灣的無效率差異最大、上海次之；在學校層級，新加坡的無效率差異最大、臺灣次之；在地區層級，僅上海存在差異。總結而言，臺灣雖是數學素養教育效率最佳的兩個地區之一，然而，歸因於個人之無效率仍有相對較高的數值，且個人與學校之無效率也存在高與低教育效率學生之間差異過大的問題。此結果顯示，臺灣在個人和學校層級的教育效率仍有改進的空間。

關鍵詞：效率分解、教育效率、資料包絡分析、數學素養、國際學生能力評量計畫

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參考文獻：

1. 任宗浩、譚克平、張立民（2011）。二階段分層叢集抽樣的設計效應估計：以TIMSS 2007調查研究為例。教育科學研究期刊，56（1），33-65。doi:10.3966/2073753X2011035601002 【Jen, T.-H., Tam, H.-P., & Wu, M. (2011). An estimation of the design effect for the two-stage stratified cluster sampling design. Journal of Research in Education Sciences, 56(1), 33-65. doi:10.3966/2073753X2011035 601002】
2. 張立民（2011）。透過PISA與TIMSS評比研究檢視西方與亞洲學生數學的相對強項。教育科學研究期刊，56（1），67-89。doi:10.3966/2073753X2011035601003 【Wu, M. (2011). Using PISA and TIMSS mathematics assessments to identify the relative strengths of students in Western and Asian countries. Journal of Research in Education Sciences, 56(1), 67-89. doi:10.3966/2073753X 2011035601003】
3. 張良丞、許添明、吳新傑（2016）。國民中學適足教育經費：臺灣偏遠與非偏遠地區學校的比較。教育科學研究期刊，61（3），43-67。doi:10.6209/JORIES.2016.61(3).02 【Zhang, L.-C., Sheu, T.-M., & Wu, H.-C. (2016). Estimating adequate funding to meet performance standards for junior high school students: Adequate funding comparisons between rural and non-rural schools in Taiwan. Journal of Research in Education Sciences, 61(3), 43-67. doi:10.6209/JORIES.2016.61(3).02】
4. 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。doi:10.6209/JORIES.2013.58(3).06 【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. doi:10.6209/JORIES.2013.58(3).06】
5. 陳嘉成、陳柏霖、洪兆祥、薛人華（2018）劍的雙面刃─國中數學科不同成就學生學習組型差異之分析。教育科學研究期刊，63（3），105-130。doi:10.6209/JORIES.201809_63(3).0004 【Chen, C.-C., Chen, P.-L., Hung, C.-H., & Hsueh, J.-H. (2018). Double-edged sword: Different learning behavior patterns for junior high school mathematics. Journal of Research in Education Sciences, 63(3), 105-130. doi:10.6209/JORIES.201809_63(3).0004】

(Special Issue) Educational Efficiency of Mathematical Literacy: A Comparison of Four Ethnically Chinese Regions

Author: Yung-Fu Cheng (Research Center for Testing and Assessment, National Academy for Educational Research), Ying-Shao Hsu (Graduate Institute of Science Education, National Taiwan Normal University), Che-Di Lee (Science Education Center, National Taiwan Normal University)

Vol.&No.：Vol. 63, No.4
Date：December 2018
Pages：1-28
DOI：10.6209/JORIES.201812_63(4).0001

Abstract：
This study uses data from the Programme for International Student Assessment 2012 to compare the educational efficiency of mathematical literacy and explore the educational equality of mathematics with educational efficiency across four ethnically Chinese regions, including Taiwan (containing seven cities with a population greater than 1 million), Shanghai, Hong Kong, and Singapore. Data envelopment analysis and decomposition of efficiency revealed that Taiwan and Shanghai have the highest overall efficiency (the total of the regional, school, and individual levels), regional plus school efficiency (the total of the regional and school levels), and regional system efficiency. However, Taiwan and Shanghai have the most inefficiency at the individual level, and Hong Kong has the most inefficiency at the regional level. At the school level, there was no significant difference in terms of inefficiency among the four regions. Regarding educational equality among the four regions, there were significant differences in educational inefficiency at the individual, school, and regional levels between students with high and low overall educational efficiency. Specifically, at the individual level, Taiwan had the largest inefficiency difference between students with high and low overall efficiency, followed by Shanghai. At the school level, Singapore had the largest inefficiency difference, followed by Taiwan. At the regional level, only Shanghai had a significant difference in inefficiency. In summary, although Taiwan is one of the top two of these four regions in terms of the educational efficiency of mathematical literacy, it has the most educational inefficiency at the individual level and higher inefficiency differences at the individual and school levels between students with high and low overall efficiency. This indicates that Taiwan can still improve its educational efficiency.

Keywords：data envelopment analysis, decomposition of efficiency, educational efficiency, mathematical literacy, PISA