Abstract
Using the overlap sample of about 3500 students who participated in both the High School Longitudinal Study of 2009 and the 2013 grade 12 National Assessment of Educational Progress (NAEP) mathematics assessment, this study investigates the relationships of mathematics identity, efficacy and interest to mathematics achievement in high school. Role identities, such as having a mathematics identity, as well as mathematics efficacy and interest are hypothesized to be important motivators of role-related behavior. Using a structural equation modeling approach, measures of these constructs at grades 9 and 11 are related to grade 12 NAEP mathematics achievement, simultaneously taking into account grade 9 mathematics achievement, high school mathematics coursetaking, educational expectations at grades 9 and 11 and student and school background factors. The results indicate that a mathematics identity and educational expectations at grade 11 are statistically and substantively significant predictors of grade 12 mathematics achievement in the presence of these other factors, whereas neither of the other two motivation factors—grade 11 mathematics self-efficacy and mathematics interest—were shown to have direct effects on grade 12 mathematics achievement. However, mathematics self-efficacy at grade 9 was shown to have an indirect effect on grade 12 mathematics achievement through grade 11 mathematics identity. The implications of these findings for identity theory are discussed.
This paper draws on research that was commissioned by the National Center for Education Statistics under Contract No. ED-IES-12-D-0002/0004 with the American Institutes for Research. AIR is responsible for any error that this report may contain. The authors also thank Peter J. Burke for his thoughtful review and comments.
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References
Adelman, C. (2006). The toolbox revisited: Paths to degree completion from high school through college. Retrieved from U.S. Department of Education, Office of Vocational and Adult Education website. https://www2.ed.gov/rschstat/research/pubs/toolboxrevisit/toolbox.pdf.
Atwater, M. M., Wiggins, J., & Gardner, C. M. (1995). A study of urban middle school students with high and low attitudes toward science. Journal of Research in Science Teaching, 32(6), 665–677. https://doi.org/10.1002/tea.3660320610.
Bandura, A. (1994). Self-efficacy. In V. S. Ramachaudran (Ed.), Encyclopedia of human behavior (Vol. 4, pp. 71–81). New York: Academic Press.
Beal, S. J., & Crockett, L. J. (2010). Adolescents’ occupational and educational aspirations and expectations: Links to high school activities and adult educational attainment. Developmental Psychology, 46(1), 258–265.
Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological Bulletin, 107(2), 238–246.
Bleeker, M. M., & Jacobs, J. E. (2004). Achievement in math and science: Do mothers’ beliefs matter 12 years later? Journal of Educational Psychology, 96(1), 97–109.
Bollen, K. (1989). Structural equations with latent variables. New York: Wiley.
Bollen, K. (1993). Liberal democracy: Validity and method factors in cross-national measures. American Journal of Political Science, 37(4), 1207–1230.
Bouchey, H. A., & Harter, S. (2005). Reflected appraisals, academic self-perceptions, and math/science performance during early adolescence. Journal of Educational Psychology, 97(4), 673–686.
Brenner, P. S., Serpe, R. T., & Stryker, S. (2018). Role-specific self-efficacy as precedent and product of the identity model. Sociological Perspectives, 61(1), 57–80. https://doi.org/10.1177/0731121417697306.
Burke, P. J. (1989). Gender identity, sex, and school performance. Social Psychology Quarterly, 52(1), 159–169.
Burke, P. J., & Hoelter, J. W. (1988). Identity and sex-race differences in educational and occupational aspirations formation. Social Science Research, 17(1), 29–47.
Burke, P. J., & Stets, J. (2009). Identity theory. New York: Oxford University Press.
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.
Carlone, H., & Johnson, A. (2007). Understanding the science experiences of successful women of color: Science identity as an analytic lens. Journal of Research in Science Teaching, 44(8), 1187–1218.
Cass, C., Cribbs, J., Sadler, P., & Sonnert, G. (2011). Examining the impact of mathematics identity on the choice of engineering careers for male and female students. Conference paper. In Proceedings—ASEE/IEEE Frontiers in Education Conference.
Chemers, M. M., Zurbriggen, E. L., Syed, M., Goza, B. K., & Bearman, S. (2011). The role of efficacy and identity in science career commitment among underrepresented minority students. Journal of Social Issues, 67(3), 469–491.
Coley, R. J. (2002). An uneven start: Indicators of inequality in school readiness. Policy Information Report.
Coleman, J. S. (1988). Social capital in the creation of human capital. American Journal of Sociology, 94(Suppl), S95–S120.
Cooley, C. (1902). Human nature and social order. New York: Scribner.
Cribbs, J. D., Hazari, Z., Sonnert, G., & Sadler, P. M. (2015). Establishing an explanatory model for mathematics identity. Child Development, 86(4), 1048–1062. https://doi.org/10.1111/cdev.12363.
Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. https://doi.org/10.1007/BF02310555.
Cvencek, D., Meltzoff, A., & Greenwald, A. (2011). Math-gender stereotypes in elementary school children. Child Development, 82(3), 766–779.
Eccles, J. S., Adler, T. F., Futterman, R., Goff, S. B., Kaczala, C. M., Meece, J. L., et al. (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., & Wang, M. (2016). What motivates females and males to pursue careers in mathematics and science? International Journal of Behavioral Development, 40(2), 100–106.
Ervin, L. H., & Stryker, S. (2001). Theorizing the relationship between self-esteem and identity. In Extending self-esteem theory and research: Sociological and psychological currents (pp. 29–55).
Estrada, M., Hernandez, P. R., Woodcock, A., & Schultz, P. W. (2011). Toward a model of social influence that explains minority student integration into the scientific community. Journal of Educational Psychology, 103, 206–222.
Gamoran, A., & Hannigan, E. C. (2000). Algebra for everyone? Benefits of college-preparatory mathematics for students with diverse abilities in early secondary school. Education and Policy Analysis, 22(3), 241–254.
Gasson, R. M., Haller, A. O., & Sewell, W. H. (1972). Attitudes and facilitators in the attainment of status. Washington, DC: American Sociological Association.
Godwin, A., Potvin, G, Hazari, Z., & Lock, R. (2013). Understanding engineering identity through structural equation modeling. In Proceedings of the 2013 IEEE Frontiers in Education Conference (pp. 50–56). https://doi.org/10.1109/FIE.2013.6684787.
Gordon, R. A. (1968). Issues in multiple regression. American Journal of Sociology, 73(5), 592–616.
Gregory, A., & Weinstein, R. S. (2004). Connection and regulation at home and in school: Predicting growth in achievement for adolescents. Journal of Adolescent Research, 19(4), 405–427.
Hazari, Z., Sonnert, G., Sadler, P., & Shanahan, M.-C. (2009). Connecting high school physics experiences, outcome expectations, physics identity, and physics career choice: A gender study. Journal of Research in Science Teaching, 47(8), 978–1003.
Hidi, S., & Renninger, K. A. (2006). The four-phase model of interest development. Educational Psychologist, 41(2), 111–127.
Horn, L. (1990). Trends in high school math and science course taking: Effects of gender and ethnicity. Presented at American Educational Research Association (AERA) Annual Conference, Boston, MA.
Hu, L. T., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling: A Multidisciplinary Journal, 6(1), 1–55.
Lindberg, S., Hyde, J., Petersen, J., & Linn, M. (2010). New trends in gender and mathematics performance: A meta-analysis. Psychological Bulletin, 136(6), 1123–1135.
Linn, M. (2006). Gender similarities in mathematics and science. Science, 314(5799), 599–600.
MacCallum, R. C., Browne, M. W., & Sugawara, H. M. (1996). Power analysis and determination of sample size for covariance structure modeling. Psychological Methods, 1(2), 130–149.
Marsh, H. W. (1990). A multidimensional, hierarchical model of self-concept: Theoretical and empirical justification. Educational Psychology Review, 2(2), 77–172.
Marsh, H. W. (1993). The multidimensional structure of academic self-concept: Invariance over gender and age. American Educational Research Journal, 30(4), 841–860.
Marsh, H. W., Byrne, B. M., & Shavelson, R. J. (1988). A multifaceted academic self-concept: Its hierarchical structure and its relation to academic achievement. Journal of Educational Psychology, 80(3), 366–380.
McCall, G. J., & Simmons, J. L. (1978). Identities and interactions: An examination of human associations in everyday life (rev. ed.). New York.
Mead, G. H. (1934). Mind, self, and society. Chicago: University of Chicago Press.
Merolla, D. M., & Serpe, R. T. (2013). STEM enrichment programs and graduate school matriculation: The role of science identity salience. Social Psychology of Education, 16, 575–597.
Merolla, D. M., Serpe, R. T., Stryker, S., & Schultz, P. W. (2012). Structural precursors to identity processes: The role of proximate social structures. Social Psychology Quarterly, 75(2), 149–172.
Ou, S. R., & Reynolds, A. J. (2008). Predictors of educational attainment in the Chicago longitudinal study. School Psychology Quarterly, 23(2), 199–229.
Pajares, F. (1996). Self-efficacy beliefs and mathematical problem solving of gifted students. Cotemporary Educational Psychology, 21(4), 325–344.
Pajares, F., & Kranzler, J. (1995). Self-efficacy beliefs and general mental ability in mathematics problem-solving. Cotemporary Educational Psychology, 20(4), 426–443.
Pajares, F., & Miller, M. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem-solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203.
Perry, L. B., & McConney, A. (2010). Does the SES of the school matter? An examination of socioeconomic status and student achievement using PISA 2003. Teachers College Record, 112(4), 1137–1162.
Rose, H., & Betts, J. R. (2001). Math matters: The links between high school curriculum, college graduation, and earnings. Retrieved from Public Policy Institute of California website: http://www.ppic.org/publication/math-matters-the-links-between-high-school-curriculum-college-graduation-and-earnings/.
Rumsberger, R. W., & Palardy, G. J. (2005). Does segregation still matter? The impact of student composition on academic achievement in high school. Teachers College Record, 107(9), 1999. https://doi.org/10.1111/j.1467-9620.2005.00583.x.
Ryan, R. M., & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55(1), 68–78.
Schachter, E., & Rich, Y. (2011). Identity education: A conceptual framework for educational researchers and practitioners. Educational Psychologist, 46(4), 222–238. 1532–6985 [Online] https://doi.org/10.1080/00461520.2011.614509.
Schneider, B., Swanson, C. B., & Riegle-Crumb, C. (1997). Opportunities for learning: Course sequences and positional advantages. Social Psychology of Education, 2(1), 25–53.
Schiefele, U. (2001). The role of interest in motivation and learning. In V. J. M. Collis & S. Messick (Eds.), Intelligence and personality: Bridging the gap in theory and measurement (pp. 163–193).
Sciarra, D. (2010). Predictive factors in intensive math course-taking in high school. Professional School Counseling, 13(3), 196–207.
Seymour, E., & Hewitt, N. M. (1997). Talking about leaving: Why undergraduates leave the sciences. Boulder, CO: Westview Press.
Sewell, W. H., & Shah, V. P. (1968). Parents’ education and children’s educational aspirations and achievements. American Sociological Review 33(2), 191–209. Retrieved from http://www.ssc.wisc.edu/wlsresearch/publications/files/public/Sewell-Shah_Parents.Education.C.E.A.A.pdf.
Sewell, W. H., Haller, A. O., & Ohlendorf, G. W. (1970). The educational and early occupational status attainment process: Replication and revision. American Sociological Review, 35(6), 1014–1027. https://doi.org/10.2307/2093379.
Sharrock, D. & Rubenstein, R. (2019) Student centered practices for student mathematical agency and engagement. In J. A., Fredericks, A. L. Reschly, & S. L. Christenson (Eds.), Handbook of student engagement interventions: Working with disengaged youth. Cambridge, MA: Elsevier.
Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., Engel, M., et al. (2012). Early predictors of high school mathematics achievement. Psychological Science, 23(7), 691–697.
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.
Steele, C. M. (2011). Whistling Vivaldi: And other clues to how stereotypes affect us (issues of our time). New York, NY: WW Norton & Company.
Stets, J. E., & Burke, P. J. (2000). Identity theory and social identity theory. Social Psychology Quarterly, 63(3), 224–237.
Stets, J. E., Brenner, P. S., Burke, P. J., & Serpe, R. T. (2017). The science identity and entering a science occupation. Social Science Research, 64, 1–14.
Stone, G. P. (1962). Appearance and the self. In A.M. Rose (Ed.), Human behavior and the social processes: An interactionist approach (pp. 86–116). New York: Houghton Mifflin.
Stryker, S. (1968). Identity salience and role performance: The relevance of symbolic interaction theory for family research. Journal of Marriage and the Family, 30(4), 558–564. https://doi.org/10.2307/349494.
Stryker, S. (2003). Whither symbolic interaction? Reflections on a personal Odyssey. Symbolic Interaction, 26(1), 95–109.
Stryker, S. (2004). Integrating emotion into identity theory. In Theory and research on human emotions (pp. 1–23). Emerald Group Publishing Limited.
Stryker, S., & Burke, P. J. (2000). The past, present, and future of an identity theory. Social Psychology Quarterly, 63(4), 284–297.
Syed, M., Azmitia, M., & Cooper, C. R. (2011). Identity and academic success among underrepresented ethnic minorities: An interdisciplinary review and integration. Journal of Social Issues, 67(3), 442–468. https://doi.org/10.1111/j.1540-4560.2011.01709.x.
Tucker, L. R., & Lewis, C. (1973). A reliability coefficient for maximum likelihood factor analysis. Psychometrika, 38(1), 1–10. https://doi.org/10.1007/BF02291170.
Wang, J., & Goldschmidt, P. (1999). Opportunity to learn, language proficiency, and immigrant status effects on mathematics achievement. The Journal of Educational Research, 93(2), 101–111.
Wang, X. (2013). Why students choose STEM majors: Motivation, high school learning, and postsecondary context of support. American Educational Research Journal, 50(5), 1081–1121.
Wenger, E. (1998). Communities of practice: Learning, meaning and identity. New York: Cambridge University Press.
Zimmerman, B. J. (2000). Self-efficacy: An essential motive to learn. Contemporary Educational Psychology, 25(1), 82–91. https://doi.org/10.1006/ceps.1999.1016.
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Bohrnstedt, G.W., Zhang, J., Park, B.J., Ikoma, S., Broer, M., Ogut, B. (2020). Mathematics Identity, Self-efficacy, and Interest and Their Relationships to Mathematics Achievement: A Longitudinal Analysis. In: Serpe, R.T., Stryker, R., Powell, B. (eds) Identity and Symbolic Interaction. Springer, Cham. https://doi.org/10.1007/978-3-030-41231-9_7
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