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
作者:陳敏瑜(臺北市立大學教育學系)、游錦雲(臺北市立大學心理與諮商學系)
卷期:58卷第3期
日期:2013年9月
頁碼:153-186
DOI:10.6209/JORIES.2013.58(3).06
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 Science Study, 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。
關鍵詞:多群組結構方程模型、次級資料分析、國際數學與科學成就趨勢調查、期望價值理論、數學成就
《詳全文》
參考文獻:
- 中等教育司(2011)。台灣參與國際學生能力評量計畫(PISA)2009結果。取自http://www. edu.tw/news.aspx?news_sn=4113【Department of Secondary Education. (2011). The results of Taiwan’s participation in the Programme for International Student Assessment (PISA). Retrieved from http://www.edu.tw/news.aspx?news_sn=4113】
- 余民寧(2006)。潛在變項模式:SIMPLIS的應用。臺北市:高等教育。【Yu, M.-N. (2006). Latent variable models: The application of SIMPLIS. Taipei, Taiwan: Higher Education.】
- 李濟仲、廖主民(2008)。期望價值信念與健身運動行為改變階段。中華體育季刊,22(3),57-66。【Lee, C.-C., & Liao, C.-M. (2008). The change phase of expectation value beliefs and exercise behavior. Quarterly of Chinese Physical Education, 22(3), 57-66.】
- 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.】
» 展開更多
- 中等教育司(2011)。台灣參與國際學生能力評量計畫(PISA)2009結果。取自http://www. edu.tw/news.aspx?news_sn=4113【Department of Secondary Education. (2011). The results of Taiwan’s participation in the Programme for International Student Assessment (PISA). Retrieved from http://www.edu.tw/news.aspx?news_sn=4113】
- 余民寧(2006)。潛在變項模式:SIMPLIS的應用。臺北市:高等教育。【Yu, M.-N. (2006). Latent variable models: The application of SIMPLIS. Taipei, Taiwan: Higher Education.】
- 李濟仲、廖主民(2008)。期望價值信念與健身運動行為改變階段。中華體育季刊,22(3),57-66。【Lee, C.-C., & Liao, C.-M. (2008). The change phase of expectation value beliefs and exercise behavior. Quarterly of Chinese Physical Education, 22(3), 57-66.】
- 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.】
- 林煥祥、劉聖忠、林素微、李暉(2008)。台灣參加PISA 2006成果報告。取自http://www.sec. ntnu.edu.tw/PISA/PISA2006/Downloads/PISA_report_[1]【Lin, H.-X., Liu, S.-Z., Lin, S.-W., & Li, H. (2008). The results report of Taiwan’s participation in PISA 2006. Retrieved from http://www.sec.ntnu.edu.tw/PISA/PISA2006/Downloads/PISA_report_ [1]】
- 張秋男(主編)(2005)。國際數學與科學教育成就趨勢調查2003。行政院國家科學委員會專案研究報告(NSC92-2511-S003-016)。臺北市:國立臺灣師範大學科學教育中心。【Chang, C.-M. (Ed.). (2005). International mathematics and science education achievement trends survey 2003. National Science Council project report (NSC92-2511-S003-016). Taipei, Taiwan: National Taiwan Normal University Science Education Center.】
- 教育廣播電台(2008)。TIMSS 2007結果公布台灣國二生數學國際第1。取自http://www.ner. gov.tw/index.php?act=culnews&code=view&ids=95654【Education Radio. (2008). TIMSS 2007 results announced mathematics achievement of eighth graders in Taiwan international first. Retrieved from http://www.ner.gov.tw/index.php?act=culnews&code=view&ids=95654】
- 黃芳銘(2004)。社會科學統計方法學:結構方程模式。臺北市:五南。【Huang, F.-M. (2004). The statistical methodology for social science: Structural equation modeling. Taipei, Taiwan: Wu-Nan Book.】
- 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.】
- 詹俊成、陳素青(2011)。臺北市高中職學生體育課班級氣氛與學習動機對學習滿意度之影響。體育學報,44(3),437-457。【Chan, C.-C., & Chen, S.-C. (2011). An investigation of classroom climate, learning motivation and learning satisfaction in physical education class of Taipei City senior high and vocational school students. Physical Education Journal, 44(3), 437-457.】
- 簡晉龍、任宗浩、張淑婷(2008)。跨學科間自我概念與學業成就路徑模式之檢驗-整合模式在數學和科學領域的適用性。教育心理學報,40(1),107-126。【Chien, C.-L., Jen, T.-H., & Chang, S.-T. (2008). Academic self-concept and achievement within and between math and science: An examination on Marsh and Köller’s unification model. Bulletin of Educational Psychology, 40(1), 107-126.】
- 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
- Atkinson, J. W. (1957). Motivational determinants of risk taking behavior. Psychological Review, 64(6), 359-372. doi:10.1037/h0043445
- Bagozzi, R. P., & Yi, Y. (1988). On the evaluation of structure equations models. Academic of Marketing Science, 16(1), 74-94. doi:10.1177/009207038801600107
- Bandura, A. (1997). Self-efficacy: The exercise of control. New York, NY: W. H. Freeman.
- Bentler, P. M., & Wu, E. J. C. (1993). EQS/windows user’s guide. Los Angeles, CA: BMDP Statistical Software.
- Bollen, K. A. (1989). Structural equations with latent variables. New York, NY: John Wiley & Sons. doi:10.5860/CHOICE.27-0974
- Byrne, B. M., Shavelson, R. J., & Muthén, B. (1989). Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105(3), 456-466. doi:10.1037//0033-2909.105.3.456
- Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9(2), 235-255. doi:10.1207/S15328007 SEM0902_5
- Chouinard, R., Karsenti, T., & Roy, N. (2007). Relations among competence beliefs, utility value, achievement goals, and effort in mathematics. British Journal of Educational Psychology, 77(3), 501-517. doi:10.1348/000709906X133589
- Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
- Corbière, M., Fraccaroli, F., Mbekou, V., & Perron, J. (2006). Academic self-concept and academic interest measurement: A multi-sample European study. European Journal of Psychology of Education, 21(1), 3-15. doi:10.1007/BF03173566
- Eccles, J. S., Adler, T. F., Futterman, R., Goff, S. B., Kaczala, C. M., Meece, J. L., & Midgley, C. (1983). Expectancies, values, and academic behaviors. In J. T. Spence (Ed.), Achievement and achievement motivation (pp. 75-146). San Francisco, CA: W. H. Freeman.
- Eccles, J. S., Adler, T. F., & Meece, J. L. (1984). Sex differences in achievement: A test of alternate theories. Journal of Personality and Social Psychology, 46(1), 26-43. doi:10.1037//0022-3514. 46.1.26
- Eccles, J. S., & Wigfield, A. (1995). In the mind of the achiever: The structure of adolescents’ academic achievement-related beliefs and self-perceptions. Personality and Social Psychology Bulletin, 21, 215-225. doi:10.1177/0146167295213003
- Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values and goals. Annual Review of Psychology, 53(1), 109-132. doi:10.1146/annurev.psych.53.100901.135153
- Eccles, J. S., Wigfield, A., Flanagan, C. A., Miller, C., Reuman, D. A., & Yee, D. (1989). Self-concepts domain values, and self-esteem: Relations and changes at early adolescence. Journal of Personality, 57(2), 283-310. doi:10.1111/j.1467-6494.1989.tb00484.x
- Eccles, J. S., Wigfield, A., Harold, R. D., & Blumenfeld, P. (1993). Age and gender differences in children’s self and task perceptions during elementary school. Child Development, 64(3), 830-847. doi:10.2307/1131221
- Eklöf, H. (2007). Test-taking motivation and mathematics performance in TIMSS 2003. International Journal of Testing, 7, 311-326. doi:10.1080/15305050701438074
- Fan, W. (2011). Social influences, school motivation and gender differences: An application of the expectancy-value theory. Educational Psychology, 31(2), 157-175. doi:10.1080/01443410. 2010.536525
- Fan, W., Lindt, S. F., Arroyo-Giner, C. A., & Wolters, C. A. (2009). The role of social relationships in promoting student academic self-efficacy and MIMIC approaches to assess factorial mean invariance. International Journal of Applied Educational Studies, 5, 34-53.
- Foy, P., Galia, J., & Li, I. (2008). Scaling the data from the TIMSS 2007 mathematics and science assessments. In J. F. Olson, M. O. Martin, & I. V. S. Mullis (Eds.), TIMSS 2007 technical report (pp. 225-280). Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
- Hampton, N. Z., & Mason, E. (2003). Learning disabilities, gender, sources of efficacy, self-efficacy beliefs, and academic achievement in high school’s students. Journal of School Psychology, 41(2), 101-112. doi:10.1016/S0022-4405(03)00028-1
- Harter, S. (1978). Effectance motivation reconsidered: Toward a developmental model. Human Development, 21(1), 34-64. doi:10.1159/000271574
- Hatcher, L. (1994). A step-by-step approach to using the SAS system for factor analysis and structural equation modeling. Cary, NC: SAS Institute. doi:10.5860/CHOICE.33-0366
- Hong, S., Malik, M. L., & Lee, M.-K. (2003). Testing configural, metric, scalar, and mean invariance across genders in sociotropy and autonomy using a non-Western sample. Educational and Psychological Measurement, 63(4), 636-654. doi:10.1177/0013164403251332
- House, D. J. (2007). Effects of science beliefs and instructional strategies on achievement of students in the United States and Korea: Results from the TIMSS 2003 assessment. In W. Paula (Ed.), The Second IEA International Research Conference: Proceedings of the IRC-2006. Volume 1: Trends in International Mathematics and Science Study (TIMSS). Retrieved from ERIC database. (ED510139)
- Hu, L., & Bentler, P. M. (1998). Fit indices in covariance structure analysis: Sensitivity to underparameterized model misspecification. Psychological Methods, 3(4), 424-453. doi:10. 1037/1082-989X.3.4.424
- Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6(1), 1-55. doi:10.1080/10705519909540118
- Jacobs, J. E. (2005). Twenty-five years of research on gender and ethnic differences in math and science career choices: What have we learned? New Directions for Child and Adolescent Development, 110, 85-94. doi:10.1002/cd.151
- Jacobs, J. E., Lanza, S., Osgood, D. W., Eccles, J. S., & Wigfield, A. (2002). Changes in children’s self-competence and values: Gender and domain differences across grades one through twelve. Child Development, 73, 509-527. doi:10.1111/1467-8624.00421
- Jöreskog, K. G., & Sörbom, D. (1989). LISREL 7: A guide to the program and applications. Chicago, IL: Scientific Software International.
- Kadijevich, D. (2008). TIMSS 2003: Relating dimensions of mathematics attitude to mathematics achievement (MA). Retrieved from http://www.doiserbia.nb.rs. doi:10.2298/ZIPI0802327K
- Kano, Y., & Azuma, Y. (2003). Use of SEM programs to precisely measure scale reliability. In H. Yanai, A. Okada, Y. Shigemasu, J. J. Kano, & K. Meulman (Eds.), New developments in psychometrics (pp. 141-148). Tokyo, Japan: Springer Verlag. doi:10.1007/978-4-431-66996-8_14
- Kline, R. B. (2005). Principles and practice of structural equation modeling (2nd ed.). New York, NY: The Guilford Press.
- Little, T. D. (1997). Mean and covariance structures (MACS) analyses of cross-cultural data: Practical and theoretical issues. Multivariate Behavioral Research, 32, 53-76. doi:10.1207/ s15327906mbr3201_3
- Liu, E. Z.-F., & Lin, C.-H. (2010). The survey study of mathematics motivated strategies for learning questionnaire (MMSLQ) for grade 10-12 Taiwanese students. The Turkish Online Journal of Educational Technology, 9(2), 221-233.
- Long, J. S. (1983). Confirmatory factor analysis: A preface to LISREL. Beverly Hills, CA: Sage. doi:10.4135/9781412983778.n2
- Ma, X., & Cartwright, F. (2003). A longitudinal analysis of gender differences in affective outcomes in mathematics during middle and high school. School Effectiveness and School Improvement, 14(4), 413-439. doi:10.1076/sesi.14.4.413.17155
- Marsh, H. W. (1994). Confirmatory factor analysis models of factorial invariance: A multifaceted approach. Structural Equation Modeling: A Multidisciplinary Journal, 1(1), 5-34. doi:10.1080/ 10705519409539960
- Marsh, H. W. (1996). Positive and negative global self-esteem: A substantively meaningful distinction or artifactors? Journal of Personality and Social Psychology, 70(4), 810-819. doi:10.1037/0022-3514.70.4.810
- Marsh, H. W., Craven, R., & Debus, R. (1998). Structure, stability, and development of young children’s self-concepts: A multicohort-multioccasion study. Child Development, 69(4), 1030-1053. doi:10.2307/1132361
- Marsh, H. W., Trautwein, U., Lüdtke, O., Köller, O., & Baumert, J. (2005). Academic self-concept, interest, grades, and standardized test scores: Reciprocal effects models of causal ordering. Child Development, 76(2), 397-416. doi:10.1111/j.1467-8624.2005.00853.x
- Meredith, W. (1993). Measurement, invariance, factor analysis and factorial invariance. Psychometrika, 58(4), 525-543. doi:10.1007/BF02294825
- Mullis, I. V. S., Martin, M. O., & Foy, P. (2008). TIMSS 2007 international mathematics report: Findings from IEA’s trends in international mathematics and science study at the fourth and eighth grades. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
- Muthén, L., & Muthén, B. (1998-2008). Mplus user’s guide. Los Angeles, CA: Author.
- Nagy, G., Garrett, J., Trautwein, U., Cortina, K. S., Baumert, J., & Eccles, J. S. (2008) . Gendered high school course selection as a precursor of gendered careers: The mediating role of self-concept and intrinsic value. In H. Watt & J. S. Eccles (Eds.), Gender and occupational outcomes: Longitudinal assessments of individual, social, and cultural influences (pp. 115-143). Washington, DC: American Psychological Association. doi:10.1037/11706-004
- Olson, J. F., Martin, M. O., & Mullis, I. V. S. (Eds.). (2008). TIMSS 2007 technical report. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
- Ryan, R. M., & Deci, E. L. (2000). Intrinsic and extrinsic motivatiors. Classic definitions and new directions. Contemporary Educational Psychology, 25(1), 54-67. doi:10.1006/ceps.1999.1020
- Shernoff, D. J., Csikszentmihalyi, M., Schneider, B., & Shernoff, E. S. (2003). Student engagement in high school classrooms from the perspective of flow theory. School Psychology Quarterly, 18(2), 158-176. doi:10.1521/scpq.18.2.158.21860
- Simpkins, S. D., Davis-Kean, P. E., & Eccles, J. S. (2006). Math and science motivation: A longitudinal examination of the links between choices and beliefs. Developmental Psychology, 42(1), 70-83. doi:10.1037/0012-1649.42.1.70
- Skaalvik, S., & Skaalvik, E. M. (2004). Gender differences in math and verbal self-concept, performance expectations, and motivation. Sex Roles, 50(3/4), 241-252. doi:10.1023/B:SERS. 0000015555.40976.e6
- Trautwein, U., Marsh, H. W., Nagengast, B., Lüdtke, O., Nagy, G., & Jonkmann, K. (2012). Probing for the multiplicative term in modern expectancy–value theory: A latent interaction modeling study. Retrieved from PsycARTICLES database. doi:10.1037/a0027470
- Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3(1), 4-69. doi:10.1177/109442810031002
- Wang, J. (2001). TIMSS primary and middle school data: Some technical concerns. Educational Researcher, 30(6), 17-21. doi:10.3102/0013189X030006017
- Watt, H. M. G. (2004). Development of adolescents’ self-perceptions, values, and task perceptions according to gender and domain in 7th- through 11th-grade Australian students. Child Development, 75(5), 1556-1574. doi:10.1111/j.1467-8624.2004.00757.x
- Werts, C. E., Rock, D. A., Linn, R. L., & Jöreskog, K. G. (1976). Testing the equality of within and/or between groups partial correlations. American Statistician, 30, 101-102.
- Wigfield, A. (1997). Reading motivation: A domain-specific approach to motivation. Educational Psychologist, 32(2), 59-68. doi:10.1207/s15326985ep3202_1
- Wigfield, A., & Eccles, J. S. (2000). Expectancy-value theory of motivation. Contemporary Educational Psychology, 25(1), 68-81. doi:10.1006/ceps.1999.1015
- Wigfield, A., & Eccles, J. S. (2002). The development of competence beliefs, expectancies for success, and achievement values from childhood through adolescence. In A. Wigfield & J. S. Eccles (Eds.), Development of achievement motivation (pp. 91-120). New York, NY: Academic Press. doi:10.1016/B978-012750053-9/50006-1
- Wigfield, A., Eccles, J. S., Schiefele, U., Roeser, R. W., & Davis-Kean, P. (2006). Development of achievement motivation. In W. Damon & R. M. Lerner (Series Eds.), Handbook of child psychology: Vol. 3. social, emotional, and personality development (6th ed., p. 938). New York, NY: Wiley.
- Wigfield, A., Eccles, J. S., Yoon, K. S., Harold, R. D., Arbreton, A. J. A., Freedman-Doan, C., & Blumenfeld, P. C. (1997). Changes in children’s competence beliefs and subjective task values across the elementary school years: A three-year study. Journal of Educational psychology, 89, 451-469. doi:10.1037/0022-0663.89.3.451
- Wigfield, A., Tonks, S., & Klauda, S. L. (2009). Expectancy-value theory. In K. R. Wentzel & A. Wigfield (Eds.), Handbook of motivation at school (pp. 55-75). New York, NY: Routledge.
- Wilkins, J. L. M. (2004). Mathematics and science self-concept: An international investigation. The Journal of Experimental Education, 72(4), 331-346. doi:10.3200/JEXE.72.4.331-346
- Wilkins, J. L. M., Zembylas, M., & Travers, K. J. (2002). Investigating correlates of mathematics and science literacy in the final year of secondary school. In D. F. Robataille & A. E. Beaton (Eds.), Secondary analysis of the TIMSS results: A synthesis of current research (pp. 291-316) . Boston, MA: Kluwer Academic. doi:10.1007/0-306-47642-8_18
- Zhu, X., Sun, H., Chen, A., & Ennis, C. (2012). Measurement invariance of expectancy-value questionnaire in physical education. Measurement in Physical Education and Exercise Science, 16(1), 41-54. doi:10.1080/1091367X.2012.639629
Journal directory listing - Volume 58 (2013) - Journal of Research in Education Sciences【58(3)】September (Special Issue: Research, theory, and practice)
Using Trends in Mathematics and Science Study to Investigate the Effects of Ability Beliefs and Task Values on Eighth-Grader Mathematics Achievements in Taiwan
Author: Min-Yu Chen(Department of Education, University of Taipei),Ching-Yun Yu(Department of Psychology and Counseling, University of Taipei)
Vol.&No.:Vol. 58, No. 3
Date:September 2013
Pages:153-186
DOI:10.6209/JORIES.2013.58(3).06
Abstract:
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.
Keywords:multiple-group structural equation modeling, secondary data analysis, TIMSS, expectancy- value theory, mathematical achievements