Abstract
Teaching mathematics involves helping students develop mathematical skills and empowering students to see themselves as capable of participating in and being knowers and doers of mathematics. Extant research has postulated that mathematics identity is a critical contributor to adolescents’ mathematics achievement and subsequent academic success. Guided by motivation and instructional quality theories, this classroom-based study examined a mediating mechanism through which teacher practices associated with mathematics identity through motivational beliefs (i.e., expectancies, task values, and cost value). Participants included 525 sixth-grade students (48.6% male; 64% European American, 34% African American, 2% other race; 58.6% free-or-reduced lunch) in the United States. The findings suggest that competence beliefs and task values, except for cost value, mediated the association between teacher practices and mathematics identity. These mediation pathways also differed by race. The mediating role of mathematics expectancies was stronger for European American adolescents, while the mediating role of mathematics task values was stronger for African American adolescents, though effect sizes were relatively modest. Teachers seeking to develop students’ mathematics identity—especially in their minority or stereotyped students—might consider enhancing their sensitivity to students’ psychological needs, quality of feedback, and instructional learning supports in their daily interaction with students.
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References
Akey, T. M. (2006). School context, student attitudes, and behavior, and academic achievement: an exploratory analysis. http://mdrc.org/sites/default/files/full_519.pdf.
Anderman, E. M., & Maher, M. L. (1994). Motivation and schooling in the middle grades. Review of Educational Research, 64, 287–309.
Andersen, L., & Ward, T. J. (2013). Expectancy-value models for the STEM persistence plans of ninth-grade, high-ability students: a comparison between Black, Hispanic, and White students. Science Education, 98, 216–242.
Anderson, R. (2007). Being a mathematics learner: four faces of identity. The Mathematics Educator, 17, 7–14. http://files.eric.ed.gov/fulltext/EJ841557.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, 665–677.
Berry, R. Q. (2008). Access to upper-level mathematics: the stories of African American middle school boys who are successful with school mathematics. Journal for Research in Mathematics Education, 39, 464–488.
Berry III, R. Q., Thunder, K., & McClain, O. L. (2011). Counter narratives: examining the mathematics and racial identities of Black boys who are successful with school mathematics. Journal of African American Males in Education, 2, 10–23.
Boykin, A. W., Tyler, K. M., & Miller, O. (2005). In search of cultural themes and their expressions in the dynamics of classroom life. School Psychology Review, 21, 586–596.
Brown, E. R., Smith, J. L., Thoman, D. B., Allen, J. M., & Muragishi, G. (2015). From bench to bedside: a communal utility value interventions to enhance students’ biomedical science motivation. Journal of Educational Psychology, 107, 1116–1135. https://doi.org/10.1037/edu0000033.
Butler, R. (1987). Task-involving and ego-involving properties of evaluation: effects of different feedback conditions on motivational perceptions, interest, and performance. Journal of Educational Psychology, 79, 474–482.
Byrd, C. M., & Chavous, T. (2011). Racial identity, school racial climate, and school intrinsic motivation among African American youth: the importance of person–context congruence. Journal of Research on Adolescence, 21, 849–860.
Chang, D. F., & Demyan, A. L. (2007). Teachers’ stereotypes of Asian, Black, and White students. School Psychology Quarterly, 22, 91–114.
Chavous, T. M., Rivas-Drake, D., Smalls, C., Griffin, T., & Cogburn, C. (2008). Gender matters too: the influence of school racial discrimination and racial identity on academic engagement outcomes among African American adolescents. Developmental Psychology, 44, 637–654.
Civil Rights Data Collection. (2013). 2009–2010 National Estimates (Rep.). http://ocrdata.ed.gov/StateNationalEstimations.
Conley, A. M. (2012). Patterns of motivation beliefs: combining achievement goal and expectancy-value perspectives. Journal of Educational Psychology, 104, 32–47.
Cribbs, J. D., Hazari, Z., Sonnert, G., & Sadler, P. M. (2015). Establishing an explanatory model for mathematics identity. Child Development, 86, 1048–4062. https://doi.org/10.1111/cdev.12363.
Darragh, L. (2013). Constructing confidence and identities of belonging in mathematics at the transition to secondary school. Research in Mathematics Education, 15, 215–229. https://doi.org/10.1080/14794802.2013.803775.
Davidson, A. L. (1999). Negotiating social differences: youths’ assessments of educators’ strategies. Urban Education, 34, 338–369.
Downer, J. T., Stuhlman, M., Schweig, J., Martínez, J. F., & Ruzek, E. (2015). Measuring effective teacher-student interactions from a student perspective: a multi-level analysis. The Journal of Early Adolescence, 35, 722–758.
Eccles, J. S. (2009). Who am I and what am I going to do with my life? Personal and collective identities as motivators of action. Educational Psychologist, 44, 78–89.
Eccles, J. S., & Midgley, C. (1989). Stage-environment fit: developmentally appropriate classrooms for early adolescents. In R. Ames & C. Ames (Eds), Research on motivation in education. New York, NY: Academic Press.
Eccles, J. S., Midgley, C., Wigfield, A., Buchanan, C. M., Reuman, D., Flanagan, C., & Mac Iver, D. (1993). Development during adolescence: the impact of stage-environment fit on adolescents’ experiences in schools and families. American Psychologist, 48, 90–101.
Eccles, J. S., & Roeser, R. W. (2011). Schools as developmental context during adolescence. Journal of Research on Adolescence, 21, 225–241.
Eccles, J. S., & Wigfield, A. (1995). In the mind of the actor: the structure of adolescents’ academic achievement related-beliefs and self-perceptions. Personality and Social Psychology Bulletin, 21, 215–225.
Eccles, J. S. & Wang, M. T. (2012). Part 1 commentary: so what is student engagement anyway? In S. L. Christensen, A. L. Reschley, & C. Wylie (Eds), Handbook of research of student engagement (pp. 133–145). New York, NY: Springer Science+Business Media.
Eccles-Parsons, 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 motives: psychological and sociological approaches (pp. 75–146). San Francisco, CA: W. H. Freeman.
Ferguson, R. F. & Mehta, J. (2004). An unfinished journey: the legacy of Brown and the narrowing achievement gap. Phi Delta Kappan, 85, 656–669. https://doi.org/10.2307/i20189399.
Flake, J. K., Barron, K. E., Hulleman, C., Mccoach, D. B., & Welsh, M. E. (2015). Measuring cost: the forgotten component of expectancy-value theory. Contemporary Educational Psychology, 41. https://doi.org/10.1016/j.cedpsych.2015.03.002.
Franke, M. L., Kazemi, E., & Battey, D. (2007). Mathematics teaching and classroom practice. In K. F. Lester (Ed.), Second handbook of research on mathematics teaching and learning. 2nd ed. Charlotte, NC: Information Age Publishing.
Frenzel, A. C., Pekrun, R., Dicke, A. L., & Goetz, T. (2012). Beyond quantitative decline: conceptual shifts in adolescents’ development of interest in mathematics. Developmental Psychology, 48, 1069–1082. https://doi.org/10.1037/a0026895.
Froschl, M., & Sprung, B. (2016). Furthering girls’ math identity: the key to girls’ math success. Childhood Education, 92, 320–323.
Guo, J., Nagengast, B., Marsh, H. W., Kelava, A., Gaspard, H., Brandt, H., & Trautwein, U. (2016). Probing the unique contributions of self-concept, task values, and their interactions using multiple value facets and multiple academic outcomes. AERA Open, 2, 1–20. https://doi.org/10.1177/2332858415626884.
Hamre, B. K., Hatfield, B., Pianta, R. C., & Jamil, F. (2014). Evidence for general and domain-specific elements of teacher-child interactions: associations with preschool children’s development. Child Development, 85, 1257–1274. https://doi.org/10.1111/cdev.12184.
Hayes, C. B., Ryan, A., & Zseller, E. B. (1994). The middle school child’s perceptions of caring teachers. American Journal of Education, 103, 1–19.
Hentges, R. F., Galla, B. M., & Wang, M.-T. (2018). Gender differences in the developmental cascade from harsh parenting to educational attainment: an evolutionary perspective. Child Development, 89, 397–413.
Jacobs, J. E., & Eccles, J. S. (2006). Parents, task values, and real-life achievement-related choices. In C. Sansone & J. M. Harackiewicz (Eds.), Intrinsic and extrinsic motivation: the search for optimal motivation and performance. San Diego, CA: Academic Press.
Little, R. J. A. (1988). A test of missing completely at random for multivariate data with missing values. Journal of the American Statistical Association, 83, 1198–1202.
Long, J. F., Monoi, S., Knoblauch, B. H., & Murphy, K. (2007). Academic motivation and achievement among urban adolescents. Urban Education, 42, 196–222.
Maltese, A. V., & Tai, R. H. (2011). Pipeline persistence: examining the association of educational experiences with earned degrees in STEM among U.S. students. Science Education Policy, 95, 877–907. https://doi.org/10.1002/sce.20441.
Marchant, G. J., Paulson, S. E., & Rothlisberg, B. A. (2001). Relations of middle school students’ perceptions of family and school contexts with academic achievement. Psychology in the Schools, 38, 505–519.
Marks, H. M. (2000). Student engagement in instructional activity: patterns in the elementary, middle, and high school years. American Educational Research Journal, 37, 153–184. https://doi.org/10.3192/0002831203700153.
Martin, D. (2009). Mathematics teaching, learning, and liberation in the lives of Black children. London: Routledge.
Martin, D. B. (2012). Learning mathematics while black. Educational Foundations, 47–66. http://files.eric.ed.gov/fulltext/EJ968817.pdf.
Master, A., Cheryan, S., & Meltzoff, A. N. (2016). Motivation and identity. In K. R. Wentzel & D. B. Miele (Eds), Educational psychology handbook: handbook of motivation at school (pp. 300–319). Berlin, DE: Routledge.
McClelland, D. C, Atkinson, J. W, Clark, R. A., & Lowell, E. L. 1953). Century psychology series. The achievement motive. East Norwalk, CT: Appleton-Century-Crofts.
Miller, S. A. (2013). Developmental research methods. 4th ed. Los Angeles, CA: SAGE Publications, Inc.
Muthén, L. K. and Muthén, B. O. (2010). Mplus user’s guide. (6th ed.). Los Angeles, CA: Muthén & Muthén.
National Assessment of Educational Progress. (2011). The nation’s report card: the official site for results from the Ntaional Assessment of Educational Progress (NAEP). Grade 12 National results 2009. http://nationsreportcard.gov/science_2009/g12_nat.asp?subtab_id1/4Tab_1&tab_id1/4tab2#tabsContainer.
Nasir, N. S. (2008). Culture and mathematics in school: boundaries between “cultural” and “domain” knowledge in the mathematics classroom and beyond. Review of Research in Education, 32, 187–240.
Nasir, N. S., Cabana, C., Shreve, B., Woodbury, E. & Louie, N. (Eds) (2014). Mathematics for equity: a framework for successful practice. New York, NY: Teachers College Press.
Nosek, B. A., Banaji, M. R., & Greenwald, A. G. (2002). Math = me, me = female, therefore math ≠ me. Journal of Personality and Social Psychology, 83, 44–49. https://doi.org/10.1037//0022-3514.83.1.44.
Okeke, N. A., Howard, L. C., Kurtz-Costes, B., & Rowley, S. J. (2009). Academic race stereotypes, academic self-concept, and racial centrality in African American youth. Journal of Black Psychology, 35, 366–387.
Perez, T., Cromley, J. G., & Kaplan, A. (2014). The role of identity development, values, and costs in college STEM retention. Journal of Educational Psychology, 106, 315–329. https://doi.org/10.1037/a00340027.
Pianta, R. C., & Hamre, B. K. (2009). Conceptualization, measurement, and improvement of classroom processes: standardized observation can leverage capacity. Educational Researcher, 38, 109–119.
Pianta, R. C., Hamre, B. K., & Allen, J. P. (2012). Teacher-student relationships and engagement: conceptualizing, measuring, and improving the capacity of classroom interactions. In S. L. Christenson, A. L. Reschly & C. Wylie (Eds), Handbook of research on student engagement (pp. 365–386). New York: Springer.
Pianta, R. C., Hamre, B. K., Haynes, N. J., Mintz, S., & La Paro, K. M. (2007). Classroom assessment scoring system manual, middle/secondary version. Charlottesville, VA: University of Virginia.
Pianta, R. C., La Paro, K., & Hamre, B. K. (2008). Classroom assessment scoring system (CLASS). Baltimore: Paul H. Brookes.
Raphael, L. M., Pressley, M., & Mohan, L. (2008). Engaging instruction in middle school classrooms: an observational study of nine teachers. The Elementary School Journal, 109, 61–81. https://doi.org/10.1086/592367.
Rivera-Batiz, F. L. (1992). Quantitative literacy and the likelihood of employment among young adults in the United States. Journal of Human Resources, 27, 313–328.
Rjosk, C., Richter, D., Hochweber, J., Ludtke, O., & Stanat, P. (2015). Classroom composition and language minority students’ motivation in language lessons. Journal of Educational Psychology, 107, 1171–1185.
Ryan, R. M., & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 35, 68–78.
Schunk, D. H., Pintrich, P. R., & Meece, J. L. (2008). Motivation in education: theory, research, and applications. Upper Saddle River, NJ: Merrill Prentice Hall.
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, 70–83.
Smokowski, P. R., Reynolds, A. J., & Bezruckzo, N. (2000). Resilience and protective factors in adolescence: an autobiographical perspective from disadvantaged youth. Journal of School Psychology, 37, 425–448.
Stevenson, H. W., Chen, C., & Uttal, D. H. (1990). Beliefs and achievement: A study of Black, White, and Hispanic children. Child Development, 61, 508–523.
Trautwein, U., Marsh, H. W., Nagengast, B., Ludtke, O., Nagy, G., & Jonkmann, K. (2012). Probing for the multiplicative term in modern expectancy-value theory: A latent interaction modeling study. Journal of Educational Psychology, 104, 763–777. https://doi.org/10.1037/a0027470.
Tyler, K. M., Boykin, A. W., & Walton, T. R. (2006). Cultural considerations in teachers’ perceptions of student classroom behavior and achievement. Teaching and Teacher Education, 22, 998–1005.
Vincent-Ruz, P., & Schunn, C. D. (2018). The nature of science identity and its role as driver of student choices. International Journal of STEM Education, 5, 48.
Walton, G. M., & Cohen, G. L. (2011). A brief social belonging intervention improves academic and health outcomes of minority students. Science, 331. https://doi.org/10.1126/science.1198364.
Wang, M.-T. (2012). Educational and career interests in math: a longitudinal examination of the links between perceived classroom environment, motivational beliefs and interests. Developmental Psychology, 48, 1643–1657.
Wang, M.-T., & Degol, J. (2013). Staying engaged: knowledge and research needs in student engagement. Child Development Perspectives, 8, 137–143.
Wang, M.-T., & Degol, J. S. (2014). Motivational pathways to STEM career choices: Using expectancy-value perspective to understand individual and gender differences in STEM fields. Developmental Review, 33, 304–340.
Wang, M.-T., & Eccles, J. S. (2012). Adolescent behavioral, emotional, and cognitive engagement trajectories in school and their differential relations to educational success. Journal of Research on Adolescence, 22, 31–39.
Wang, M.-T., & Eccles, J. S. (2013). School context, achievement motivation, and academic engagement: a longitudinal study of school engagement using a multidimensional perspective. Learning and Instruction, 28, 12–23.
Wang, M.-T., & Hofkens, T. L. (2019). Beyond classroom academics: a school-wide and multi-contextual perspective on student engagement in school. Adolescent Research Review, 1, 1–15.
Wang, M.-T., & Holcombe, R. (2010). Adolescents’ perceptions of classroom environment, school engagement, and academic achievement. American Educational Research Journal, 47, 633–662.
Wang, M.-T., Smith, L. V., Miller-Cotto, D., & Huguley, J. P. (2019). Parental ethnic-racial socialization and children of color’s academic success: a meta-analytic review. Child Development.
Wang, M.-T., Ye, F., & Degol, J. L. (2017). Who chooses STEM careers? Using a relative cognitive strength and interest model to predict careers in science, technology, engineering, and mathematics. Journal of Youth and Adolescence, 46, 1805–1820.
Wentzel, K. (2004). Understanding classroom competence: the role of social-motivational and self-processes. In R. Kail (Ed.), Advances in child development. New York, NY: Elsevier.
White, R. W. (1959). Motivation reconsidered: the concept of competence. Psychological Review, 66, 197–333.
Wigfield, A., & Cambria, J. (2010). Expectancy-value theory: retrospective and prospective. In S. Karabenick & T. C. Urdan (Eds), The decade ahead: theoretical perspectives on motivation and achievement (Advances in motivation and achievement, Volume 16). (pp. 35–70). Bradford, United Kingdom: Emerald Group Publishing Limited.
Wigfield, A., Tonks, S., & Klauda, S. L. (2016). Expectancy-value theory. In K. R. Wenzel & A. Wigfield (Eds.), Handbook of motivation at school (pp. 77–104). New York, NY, US: Routledge/Taylor & Francis Group.
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This study was supported by the National Science Foundation to Ming-Te Wang.
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RSM conceived of the study (i.e., study questions, study design, result interpretation), participated in the literature review, and drafted the introduction, literature review, and discussion sections; MTW supervised the development of the study and provided feedback on the full draft. All authors read and approved the final manuscript.
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Miller, R.S., Wang, MT. Cultivating Adolescents’ Academic Identity: Ascertaining the Mediating Effects of Motivational Beliefs Between Classroom Practices and Mathematics Identity. J Youth Adolescence 48, 2038–2050 (2019). https://doi.org/10.1007/s10964-019-01115-x
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DOI: https://doi.org/10.1007/s10964-019-01115-x