Abstract
Inclusive STEM (science, technology, engineering, and mathematics) schools operate with a mission to increase and broaden participation in STEM among all students, particularly girls and students from under-represented ethnic groups (e.g., ethnic/racial minorities). As such, inclusive STEM schools promote various instructional strategies, such as risk-taking, autonomy, and technology use, to help peak diverse students’ interests and achievement in STEM subjects. However, little research has investigated how these instructional strategies are implemented in inclusive STEM school settings, and whether these strategies reduce racial and gender gaps in students’ mathematics attitudes. The current study uses hierarchical linear regression analyses to investigate associations between such strategies (i.e., student autonomy, cooperation and teamwork, technology use, risk taking, and cognitively-demanding work) and students’ attitudes toward mathematics. Results indicate that higher levels of risk-taking in mathematics classes were associated with more positive mathematics attitudes for all students. Girls and African American students reported more positive mathematics attitudes compared to boys and White students when they experienced higher levels of autonomy in their mathematics classes. These findings suggest that some instructional strategies should be examined further for their potential to reduce persistent gaps seen in mathematics attitudes.
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Notes
Please refer to the website: http://outlier.uchicago.edu/s3/findings/roadmap/ for more information regarding the theory of action.
The Elements include (1) problem-based learning (PBL); (2) rigorous learning; (3) personalization of learning; (4) career, technology, and life skills; (5) school community and belonging; (6) external community; (7) staff foundations; and (8) essential factors (LaForce et al. 2016).
For both mathematics intrinsic motivation and mathematics ability beliefs, we reported unstandardized coefficients (B) in the original units of the scales corresponding to each variable, in the text. Standardized coefficients (β) were not reported, yet available from the authors upon request. Moreover, only significant findings were reported in text (please see tables for other non-significant findings).
Coefficients for simple slopes generated by “Interaction!” program were only reported in text, not in tables.
The current study emphasized the use of instructional strategies within the context of inclusive STEM schools in relation to gender and race/ethnicity gaps on students’ mathematics attitudes. Thus, we did not focus on discussing intersectionality theories or provide a thorough discussion of individual and social contexts related to intersectionality. However, we provided additional intersectional analysis for those who are interested.
References
Academic Competitiveness Council. (2007). Report of the academic competitiveness council. Retrieved from http://eric.ed.gov/?id=ED496649. Accessed June 2018
Ajzen, I. (1991). The theory of planned behavior. Organizational Behavior and Human Decision Processes, 50, 179–211.
Bandura, A., & Walters, R. H. (1977). Social learning theory (Vol. 1). Englewood Cliffs: Prentice-hall.
Barkatsas, A. T., Kasimatis, K., & Gialamas, V. (2009). Learning secondary mathematics with technology: Exploring the complex interrelationship between students’ attitudes, engagement, gender and achievement. Computers & Education, 52, 562–570.
Basham, J. D., Israel, M., & Maynard, K. (2010). An ecological model of STEM education: Operationalizing STEM for all. Journal of Special Education Technology, 25, 9–19.
Beasley, M. A., & Fischer, M. J. (2012). Why they leave: The impact of stereotype threat on the attrition of women and minorities from science, math and engineering majors. Social Psychology of Education, 15, 427–448.
Bicer, A., Navruz, B., Capraro, R. M., Capraro, M. M., Oner, T. A., & Boedeker, P. (2015). STEM schools vs. non-STEM schools: Comparing students’ mathematics growth rate on high-stakes test performance. International Journal of New Trends in Education and their Implications, 6, 138–150.
Blair, C., Gamson, D., Thorne, S., & Baker, D. (2005). Rising mean IQ: Cognitive demand of mathematics education for young children, population exposure to formal schooling, and the neurobiology of the prefrontal cortex. Intelligence, 33, 93–106.
Britner, S. L., & Pajares, F. (2001). Self-efficacy beliefs, motivation, race, and gender in middle school science. Journal of Women and Minorities in Science and Engineering, 7, 271–285.
Bruce-Davis, M. N., Gubbins, E. J., Gilson, C. M., Villanueva, M., Foreman, J. L., & Rubenstein, L. D. (2014). STEM high school administrators’, teachers’, and students’ perceptions of curricular and instructional strategies and practices. Journal of Advanced Academics, 25, 272–306.
Burrus, J., Jackson, T., Xi, N., & Steinberg, J. (2013). Identifying the most important 21st century workforce competencies: An analysis of the occupational information network (O* NET). ETS Research Report Series, 2013, i-55.
Byrnes, J. P., Miller, D. C., & Schafer, W. D. (1999). Gender differences in risk taking: A meta-analysis. Psychological Bulletin, 125, 367–383.
Carnegie Corporation of New York. (2009). The opportunity equation: Transforming mathematics and science education for citizenship and the global economy. New York, NY. Retrieved from https://www.carnegie.org/media/filer_public/80/c8/80c8a7bc-c7ab-4f49-847d-1e2966f4dd97/ccny_report_2009_opportunityequation.pdf. Accessed June 2018
Century, J., & Cassata, A. (2014). Conceptual foundations for measuring the implementation of educational innovations. In L. M. H. Sanetti & T. R. Kratochwill (Eds.), Treatment integrity: A foundation for evidence-based practice in applied psychology (pp. 81–108). Washington, DC, US: American Psychological Association. https://doi.org/10.1037/14275-006.
Century, J., Rudnick, M., & Freeman, C. (2010). A framework for measuring fidelity of implementation: A foundation for shared language and accumulation of knowledge. American Journal of Evaluation, 31, 199–218.
Cheryan, S., Siy, J. O., Vichayapai, M., Drury, B. J., & Kim, S. (2011). Do female and male role models who embody STEM stereotypes hinder women’s anticipated success in STEM? Social Psychological and Personality Science, 2, 656–664.
Clifford, M. M. (1988). Failure tolerance and academic risk-taking in ten- to twelve-year-old students. British Journal of Educational Psychology, 58, 15–27.
Clifford, M. M. (1991). Risk taking: Theoretical, empirical and educational considerations. Educational Psychologist, 26, 263–297.
Economics and Statistics Administration (2017). Women in STEM: 2017 update. U.S. Department of Commerce. Retrieved from https://www.commerce.gov/sites/default/files/migrated/reports/women-in-stem-2017-update.pdf. Accessed July 2019
Education Development Center, Inc. (2018). Specialized STEM secondary schools (Report: STEM Smart Brief, STEM Smart: Lessons Learned from Successful Schools). Retrieved from https://successfulstemeducation.org/resources/specialized-stem-secondary-schools. Accessed July 2019
Else-Quest, N. M., & Hyde, J. S. (2016a). Intersectionality in quantitative psychological research: I. Theoretical and epistemological issues. Psychology of Women Quarterly, 40, 155–170.
Else-Quest, N. M., & Hyde, J. S. (2016b). Intersectionality in quantitative psychological research: II. Methods and techniques. Psychology of Women Quarterly, 40, 319–336.
Else-Quest, N. M., Mineo, C. C., & Higgins, A. (2013). Math and science attitudes and achievement at the intersection of gender and ethnicity. Psychology of Women Quarterly, 37, 293–309.
Forman, J., Gubbins, E. J., Villanueva, M., Massicotte, C., Callahan, C., & Tofel-Grehl, C. (2015). National survey of STEM high schools’ curricular and instructional strategies and practices. NCSSS Journal, 20, 8–19.
Funk, C., & Parker, K. (2018). Women and men in STEM often at odds over workplace equity. Pew research center. Retrieved from http://www.pewsocialtrends.org/2018/01/09/women-and-men-in-stem-often-at-odds-over-workplace-equity/. Accessed Aug 2018
Gnagey, J., & Lavertu, S. (2016). The impact of inclusive STEM high schools on student achievement. AERA Open, 2, 1–21. https://doi.org/10.1177/2332858416650870.
Goldman, A. D., & Penner, A. M. (2016). Exploring international gender differences in mathematics self-concept. International Journal of Adolescence and Youth, 21, 403–418.
Gottfried, A. E., Marcoulides, G. A., Gottfried, A. W., Oliver, P. H., & Guerin, D. W. (2007). Multivariate latent change modeling of developmental decline in academic intrinsic math motivation and achievement: Childhood through adolescence. International Journal of Behavioral Development, 31, 317–327.
Hansen, M. (2014). Characteristics of schools successful in STEM: Evidence from two states’ longitudinal data. Journal of Educational Research, 107, 374–391.
Harper, S. R. (2010). An anti-deficit achievement framework for research on students of color in STEM. New Directions for Institutional Research, 2010, 63–74.
Hein, G. (1991). Constructivist learning theory. Institute for inquiry. Available at http://www.exploratorium.edu/ifi/resources/constructivistlearning.htmlS. Accessed Sept 2019
Hernandez, P. R., Schultz, P. W., Estrada, M., Woodcock, A., & Chance, R. C. (2013). Sustaining optimal motivation: A longitudinal analysis of interventions to broaden participation of underrepresented students in STEM. Journal of Educational Psychology, 105, 89–107.
Kitsantas, A., Cheema, J., & Ware, H. W. (2011). Mathematics achievement: The role of homework and self-efficacy beliefs. Journal of Advanced Academics, 22, 310–339.
Kreft, I., & de Leeuw, J. (1998). Introducing multilevel modeling. Newbury Park: Sage.
LaForce, M., Noble, E., & Blackwell, C. (2017). Problem-based learning (PBL) and student interest in STEM careers: The roles of motivation and ability beliefs. Education Sciences, 7, 1–22.
LaForce, M., Noble, E., King, H., Century, J., Blackwell, C., Holt, S., et al. (2016). The eight essential elements of inclusive STEM high schools. International Journal of STEM Education, 3, 1–11.
LaForce, M., Zuo, H., Ferris, K., & Noble, E. (2019). Revisiting race and gender differences in STEM: Can inclusive STEM high schools reduce gaps? European Journal of STEM Education, 4, 1–15.
Lee, J. (2002). Racial and ethnic achievement gap trends: Reversing the progress toward equity? Educational Researcher, 31, 3–12.
Leedy, M. G., LaLonde, D., & Runk, K. (2003). Gender equity in mathematics: Beliefs of students, parents, and teachers. School Science and Mathematics, 103, 285–292.
Leikin, R., & Zaslavsky, O. (1997). Facilitating student interactions in mathematics in a cooperative learning setting. Journal for Research in Mathematics Education, 331-354.
Lent, R. W., Brown, S. D., & Hackett, G. (1994). Toward a unifying social cognitive theory of career and academic interest, choice, and performance. Journal of Vocational Behavior, 45, 79–122.
Lesseig, K., Firestone, J., Morrison, J., Slavit, D., & Holmlund, T. (2019). An analysis of cultural influences on STEM schools: Similarities and differences across K-12 contexts. International Journal of Science and Mathematics Education, 17, 449–466.
Li, Q., & Ma, X. (2010). A meta-analysis of the effects of computer technology on school students’ mathematics learning. Educational Psychology Review, 22, 215–243.
Lynch, S. J., Burton, E. P., Behrend, T., House, A., Ford, M., Spillane, N., et al. (2018). Understanding inclusive STEM high schools as opportunity structures for underrepresented students: Critical components. Journal of Research in Science Teaching, 55, 712–748.
Means, B., Wang, H., Wei, X., Lynch, S., Peters, V., Young, V., & Allen, C. (2017). Expanding STEM opportunities through inclusive STEM-focused high schools. Science Education, 101, 681–715.
Meyer, D. K., Turner, J. C., & Spencer, C. A. (1997). Challenge in a mathematics classroom: Students’ motivation and strategies in project-based learning. The Elementary School Journal, 97, 501–521.
National Assessment of Educational Progress. (2015). 2015 Mathematics & reading assessments: National achievement level results. Retrieved from: https://www.nationsreportcard.gov/reading_math_2015/#mathematics/acl. Accessed May 2018
National Science Board. (2016). Science and engineering indicators 2016. Arlington, VA: National Science Foundation (NSB 16–01). Retrieved from https://www.nsf.gov/statistics/2016/nsb20161/#/report. Accessed May 2018
National Science Foundation. (2017). Women, minorities, and persons with disabilities in science and engineering. Retrieved from https://www.nsf.gov/statistics/2017/nsf17310/static/downloads/nsf17310-digest.pdf. Accessed May 2018
Nugent, G., Barker, B., Grandgenett, N., & Adamchuk, V. I. (2010). Impact of robotics and geospatial technology interventions on youth STEM learning and attitudes. Journal of Research on Technology in Education, 42, 391–408.
Pajares, F. (2005). Gender differences in mathematics self-efficacy beliefs. In A. M. Gallagher & J. C. Kaufman (Eds.), Gender differences in mathematics: An integrative psychological approach (pp. 294–315). New York: Cambridge University Press.
Pajares, F., & Kranzler, J. (1995). Self-efficacy beliefs and general mental ability in mathematical problem-solving. Contemporary Educational Psychology, 20, 426–443.
Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86, 193–203.
Peters-Burton, E. E., Lynch, S. J., Behrend, T. S., & Means, B. B. (2014). Inclusive STEM high school design: 10 critical components. Theory Into Practice, 53, 64–71.
Pierce, R., Stacey, K., & Barkatsas, A. (2007). A scale for monitoring students’ attitudes to learning mathematics with technology. Computers & Education, 48, 285–300.
President’s Council of Advisors on Science and Technology (PCAST). (2010). Prepare and inspire: K–12 education in science, technology, engineering, and math (STEM) for America’s future. Washington, DC.
Pritchard, A., & Woollard, J. (2013). Psychology for the classroom: Constructivism and social learning. New York: Routledge.
Rech, J. F. (1994). A comparison of the mathematics attitudes of black students according to grade level, gender, and academic achievement. The Journal of Negro Education, 63, 212–220.
Riegle-Crumb, C., Moore, C., & Ramos-Wada, A. (2011). Who wants to have a career in science or math? Exploring adolescents’ future aspirations by gender and race/ethnicity. Science Education, 95, 458–476.
Sax, L. J., Kanny, M. A., Riggers-Piehl, T. A., Whang, H., & Paulson, L. N. (2015). “But I’m not good at math”: The changing salience of mathematical self-concept in shaping women’s and men’s STEM aspirations. Research in Higher Education, 56, 813–842.
Sharma, S. (2015). Promoting risk taking in mathematics classrooms: The importance of creating a safe learning environment. The Mathematics Enthusiast, 12, 290–306.
Smeding, A. (2012). Women in science, technology, engineering, and mathematics (STEM): An investigation of their implicit gender stereotypes and stereotypes’ connectedness to math performance. Sex Roles, 67, 617–629.
Soper, D. (2006–2013). Post-hoc statistical power calculator for multiple regression. Retrieved from http://www.danielsoper.com/statcalc3/calc.aspx?id=9. Accessed May 2018
Spencer, S. J., Logel, C., & Davies, P. G. (2016). Stereotype threat. Annual Review of Psychology, 67, 415–437.
Steele, C. M. (1997). A threat in the air: How stereotypes shape intellectual identity and performance. American Psychologist, 52, 613–629.
Stevens, T., Olivárez Jr., A., & Hamman, D. (2006). The role of cognition, motivation, and emotion in explaining the mathematics achievement gap between Hispanic and white students. Hispanic Journal of Behavioral Sciences, 28, 161–186.
Stevens, T., Olivarez, A., Lan, W. Y., & Tallent-Runnels, M. K. (2004). Role of mathematics self-efficacy and motivation in mathematics performance across ethnicity. The Journal of Educational Research, 97, 208–222.
Subotnik, R. F., Tai, R. H., Rickoff, R., & Almarode, J. (2010). Specialized public high schools for science, mathematics, technology and the STEM pipeline: What do we know now and what will we know in five years? Roeper Review, 32, 7–16.
Subotnik, R. F., Tai, R. H., & Almarode, J. (2011). Study of the impact of selective SMT high schools: Reflections on learners gifted and motivated in science and mathematics. The National Academies: Washington, DC, USA. Retrieved from http://sites.nationalacademies.org/cs/groups/dbassesite/documents/webpage/dbasse_072643.pdf. Accessed May 2018
Tate, W. F. (1997). Race-ethnicity, SES, gender, and language proficiency trends in mathematics achievement: An update. Journal for Research in Mathematics Education, 28, 652–679.
Tocci, C. M., & Engelhard Jr., G. (1991). Achievement, parental support and gender differences in attitudes toward mathematics. The Journal of Educational Research, 84, 280–287.
Walton, G. M., & Spencer, S. J. (2009). Latent ability: Grades and test scores systematically underestimate the intellectual ability of negatively stereotyped students. Psychological Science, 20, 1132–1139.
Wang, M. T. (2012). Educational and career interests in math: A longitudinal examination of the links between classroom environment, motivational beliefs, and interests. Developmental Psychology, 48, 1643–1657.
Weiner, B. (1985). An attributional theory of achievement motivation and emotion. Psychological Review, 92, 548–573.
White House Office of Science and Technology Policy. (2015). Progress report on coordinating federal science, technology, engineering, and mathematics (STEM) education. Washington, DC: Author. Retrieved from: https://obamawhitehouse.archives.gov/sites/default/files/microsites/ostp/stem_ed_budget_supplement_fy16-march-2015.pdf. Accessed May 2018
Wigfield, A., & Eccles, J. S. (2000). Expectancy–value theory of achievement motivation. Contemporary Educational Psychology, 25, 68–81.
Young, V. M., House, A., Wang, H., Singleton, C., & Klopfenstein, K. (2011). Inclusive STEM schools: Early promise in Texas and unanswered questions. In highly successful schools or programs for K-12 STEM education: A workshop. Washington, DC: National Academies. Retrieved from http://sites.nationalacademies.org/cs/groups/dbassesite/documents/webpage/dbasse_072639.pdf. Accessed May 2018
Zakaria, E., Chin, L. C., & Daud, M. Y. (2010). The effects of cooperative learning on students’ mathematics achievement and attitude towards mathematics. Journal of Social Sciences, 6, 272–275.
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This research was supported by a grant from the National Science Foundation (1238552).
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Appendix 1
Appendix 1
Intersectional Analyses
An intersectional approach was employed to explore the interactive effect of gender and race/ethnicity in relation to instructional strategies. This investigation was not the primary focus of the present study; however, we believe that it is important to acknowledge the confounding, and overlapping, effects of these demographic characteristics in relation to instructional strategies and mathematics-related outcomes. As such, we have chosen to present these preliminary results here (see Table 5 for model fit indices and Table 6 for all statistics) as we prepare a follow-up manuscript, which will discuss these results in greater detail and be accompanied by supporting theoretical frameworks and empirical evidence (e.g., Else-Quest and Hyde 2016a, b).
Hierarchical multiple-regression analyses were used to investigate associations between the five instructional strategies and students’ mathematics attitudes considering intersectionality between gender and race/ethnicity (e.g., Hispanic*Female). Two separate eight-step models were used to investigate mathematics intrinsic motivation and mathematics ability beliefs outcome variables. In both models, variables representing the intersection of gender and race/ethnicity (e.g., Hispanic*Female) were entered at step 1. Variables entered at step 2–8 were replicated from the models described above (see the section of Analytical Strategy section). The current models differed in that the interaction terms between gender identity, or race/ethnicity, and each STEM school instructional strategy (e.g., step 3: autonomy*gender; autonomy*race/ethnicity) were now replaced by interaction terms accounting for intersectionality (e.g., step 3: autonomy*Hispanic*Female). Please contact the authors for a more in-depth discussion of these findings.Footnote 5
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Zuo, H., Ferris, K.A. & LaForce, M. Reducing Racial and Gender Gaps in Mathematics Attitudes: Investigating the Use of Instructional Strategies in Inclusive STEM High Schools. Journal for STEM Educ Res 3, 125–146 (2020). https://doi.org/10.1007/s41979-019-00021-y
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DOI: https://doi.org/10.1007/s41979-019-00021-y