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Impact of math self-efficacy, math anxiety, and growth mindset on math and science career interest for middle school students: the gender moderating effect

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Abstract

This study tested a proposed model consisting of mathematics anxiety, mathematics self-efficacy, and implicit theories of intelligence in predicting mathematics and science career interest in middle school students, while controlling for student math level. One hundred fifty-two seventh-grade students in a middle school in the USA participated in the study. Results revealed both similarities and differences on the relation among the intended variables by gender. The path analyses showed that, for boys, mathematics self-efficacy mediated the relation between implicit theories of intelligence and mathematics and science career interest. In addition, student mathematics level exerted a direct impact on mathematics anxiety, growth mindset, and career interest for boys. For girls, mathematics anxiety exerted a direct impact on their career interest. Implications of the results are discussed.

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References

  • Abdullah, M. N. L. Y. (2008). Children’s implicit theories of intelligence: its relationships with self-efficacy, goal orientations, and self-regulated learning. The International Journal of Learning, 15(2), 47–56.

    Google Scholar 

  • Ahmavaara, A., & Houston, D. M. (2007). The effects of selective schooling and self-concept on adolescents’ academic aspiration: an examination of Dweck’s self-theory. The British Journal of Educational Psychology, 77(Pt 3), 613–632. https://doi.org/10.1348/000709906X120132.

    Article  Google Scholar 

  • Akin, A., & Kurbanoglu, I. (2011). The relationships between math anxiety, math attitudes, and self-efficacy: a structural equation model. Studia Psychologica, 53(3), 263–273.

    Google Scholar 

  • Ashcraft, M. H. (2002). Math anxiety: personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185. https://doi.org/10.1111/1467-8721.00196.

    Article  Google Scholar 

  • Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14(2), 243–248. https://doi.org/10.3758/BF03194059.

    Article  Google Scholar 

  • Bandura, A. (1986). Social foundations of thought and action: a social cognitive theory. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Bandura, A. (1997). Self-efficacy: The exercise of control. New York: Freeman.

    Google Scholar 

  • Beilock, S. L., & Willingham, D. T. (2014). Math anxiety: Can teachers help students reduce it? American Educator, Summer, 28–33.

  • Beilock, S. L., Gunderson, E. a., Ramirez, G., & Levine, S. C. (2010). Female teachers’ math anxiety affects girls’ math achievement. Proceedings of the National Academy of Sciences of the United States of America, 107(5), 1860–1863. https://doi.org/10.1073/pnas.0910967107.

    Article  Google Scholar 

  • Betz, N. E. (1978). Prevalence, distribution, and correlates of math anxiety in college students. Journal of Counseling Psychology, 25(5), 441–448. https://doi.org/10.1037/0022-0167.25.5.441.

    Article  Google Scholar 

  • Betz, N. E. (2006). Basic issues and concepts in the career development and counseling of women. In W. B. Walsh & M. J. Heppner (Eds.), Handbook of career counseling for women (pp. 45–75). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Betz, N. E., & Hackett, G. (1983). The relationship of mathematics self-efficacy expectations to the selection of science-based college majors. Journal of Vocational Behavior, 345, 329–345.

    Article  Google Scholar 

  • Bieg, M., Goetz, T., Wolter, I., & Hall, N. C. (2015). Gender stereotype endorsement differentially predicts girls’ and boys' trait-state discrepancy in math anxiety. Frontiers in Psychology, 6(September), 1404. https://doi.org/10.3389/fpsyg.2015.01404.

    Article  Google Scholar 

  • Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Implicit theories of intelligence predict achievement across an adolescent transition: a longitudinal study and an intervention. Child Development, 78(1), 246–263. https://doi.org/10.1111/j.1467-8624.2007.00995.x.

    Article  Google Scholar 

  • Blazer, C. (2011). Strategies for reducing math anxiety. Information Capsule, 1102(September).

  • Bråten, I., & Strømsø, H. I. (2005). The relationship between epistemological beliefs, implicit theories of intelligence, and self-regulated learning among Norwegian postsecondary students. British Journal of Educational Psychology, 75(4), 539–565. https://doi.org/10.1348/000709905X25067.

    Article  Google Scholar 

  • Brown, P. L., Concannon, P., Marx, D., Donaldson, W., & Black, A. (2016). An examination of middle school students’ STEM self-efficacy with relation to interest and perceptions of STEM. Journal of STEM Education, 17(3), 27–39.

    Google Scholar 

  • Burkley, M., Parker, J., Stermer, S. P., & Burkley, E. (2010). Trait beliefs that make women vulnerable to math disengagement. Personality and Individual Differences, 48(2), 234–238. https://doi.org/10.1016/j.paid.2009.09.002.

    Article  Google Scholar 

  • Butz, A. R., & Usher, E. L. (2015). Salient sources of early adolescents’ self-efficacy in two domains. Contemporary Educational Psychology, 42, 49–61. https://doi.org/10.1016/j.cedpsych.2015.04.001.

    Article  Google Scholar 

  • Carey, E., Hill, F., Devine, A., & Szücs, D. (2016). The chicken or the egg? The direction of the relationship between mathematics anxiety and mathematics performance. Frontiers in Psychology, 6(JAN), 1–6. https://doi.org/10.3389/fpsyg.2015.01987.

    Article  Google Scholar 

  • Catsambis, S. (1994). The path to math: gender and racial-ethnic differences in mathematics participation from middle school to high school. Sociology of Education, 67(3), 199–215.

    Article  Google Scholar 

  • Chipman, S. F., Krantz, D. H., & Silver, R. (1992). Mathematics anxiety and science careers among able college women. Psychological Science, 3(5), 292–295. https://doi.org/10.1111/j.1467-9280.1992.tb00675.x.

    Article  Google Scholar 

  • Chiu, L., & Henry, L. L. (1990). Development and validation of the mathematics anxiety scale for children. Measurement and Evaluation in Counseling and Development, 23(3), 121–127.

  • Davis, J. L., Burnette, J. L., Allison, S. T., & Stone, H. (2011). Against the odds: academic underdogs benefit from incremental theories. Social Psychology of Education, 14(3), 331–346. https://doi.org/10.1007/s11218-010-9147-6.

    Article  Google Scholar 

  • Devine, A., Fawcett, K., Szűcs, D., & Dowker, A. (2012). Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety. Behavioral and Brain Functions, 8(1), 1–9. https://doi.org/10.1186/1744-9081-8-33.

    Article  Google Scholar 

  • Dweck, C. S. (1999). Self-theories: their role in motivation, personality and development. Philadelphia, PA: Psychology Press.

    Google Scholar 

  • Dweck, C. S. (2007). Boosting achievement with messages that motivate. Education Canada, 47(2), 6–10.

    Google Scholar 

  • Dweck, C. S. (2008a). Mindset: the new psychology of success. New York: Random House, Inc..

    Google Scholar 

  • Dweck, C. S. (2008b). Mindsets: how praise is harming youth and what can be done about it. School Library Media Activities Monthly, 24(5), 55–58.

    Google Scholar 

  • Dweck, C. S. (2008c). Mindsets and math/science achievement. New York, NY: Carnegie Corp. of New York–Institute for Advanced Study Commission on Mathematics and Science Education.

  • Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53(1), 109–132.

    Article  Google Scholar 

  • Eden, C., Heine, A., & Jacobs, A. M. (2013). Mathematics anxiety and its development in the course of formal schooling — a review. Psychology, 4(6), 27–35.

    Article  Google Scholar 

  • Erikson, E. (1997). The life cycle completed. New York, NY: W. W. Norton & Company.

    Google Scholar 

  • Fouad, N. a., & Smith, P. L. (1996). A test of a social cognitive model for middle school students: math and science. Journal of Counseling Psychology, 43(3), 338–346. https://doi.org/10.1037//0022-0167.43.3.338.

    Article  Google Scholar 

  • Frost, L. A., Hyde, J. S., & Fennema, E. (1994). Gender, mathematics performance, and mathematics-related attitudes and affect: a meta-analytic synthesis. International Journal of Educational Research, 21(4), 373–386.

    Article  Google Scholar 

  • Geist, E. (2010). The anti-anxiety curriculum: combating math anxiety in the classroom. Journal of Instructional Psychology, 37(1), 24–31.

    Google Scholar 

  • Griggs, M. S., Patton, C. L., Rimm-Kaufman, S. E., & Merritt, E. G. (2013). The responsive classroom approach and fifth grade students’ math and science anxiety and self-efficacy. School Psychology Quarterly, 28(4), 360–373.

    Article  Google Scholar 

  • Hackett, G. (1985). Role of mathematics self-efficacy in the choice of math-related majors of college women and men: a path analysis. Journal of Counseling Psychology, 32(1), 47–56. https://doi.org/10.1037/0022-0167.32.1.47.

    Article  Google Scholar 

  • Hackett, G., & Betz, N. E. (1989). An exploration of the mathematics self-efficacy/mathematics performance correspondence. Journal for Research in Mathematics Education, 20(3), 261–273. https://doi.org/10.2307/749515.

    Article  Google Scholar 

  • Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal of Research in Mathematics Education, 21(1), 33–46.

    Article  Google Scholar 

  • Hill, C., Corbett, C., & Rose, A. S. (2010). Why so few? Women in science, technology, engineering, and mathematics. Washington DC: AAUW.

    Google Scholar 

  • Huang, C. (2012). Gender differences in academic self-efficacy: a meta-analysis. European Journal of Psychology of Education, 28(1), 1–35. https://doi.org/10.1007/s10212-011-0097-y.

    Article  Google Scholar 

  • 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, 2005(110), 85–94. https://doi.org/10.1002/cd.151.

    Article  Google Scholar 

  • Jourden, F., Bandura, A., & Banfield, J. (1991). The impact of conceptions of ability on self-regulatory factors and motor skill acquisition. Journal of Sport & Exercise Psychology, 8(3), 213–226.

    Article  Google Scholar 

  • Kamins, M. L., & Dweck, C. S. (1999). Person versus process praise and criticism: implications for contingent self-worth and coping. Developmental Psychology, 35(3), 835–847. https://doi.org/10.1037//0012-1649.35.3.835.

    Article  Google Scholar 

  • Lent, R. W., Lopez, F. G., & Bieschke, K. J. (1991). Mathematics self-efficacy: sources and relation to science-based career choice. Journal of Counseling Psychology, 38(4), 424–430. https://doi.org/10.1037//0022-0167.38.4.424.

    Article  Google Scholar 

  • 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(1), 79–122.

    Article  Google Scholar 

  • Lindberg, S. M., Hyde, J. S., Petersen, J. L., & Linn, M. C. (2010). New trends in gender and mathematics performance: a meta-analysis. Psychological Bulletin, 136(6), 1123–1135. https://doi.org/10.1037/a0021276.New.

    Article  Google Scholar 

  • Lopez, F. G., & Lent, R. W. (1992). Sources of mathematics self-efficacy in high school students. Career Development Quarterly, 41(1), 3–12.

    Article  Google Scholar 

  • Madjar, N., Zalsman, G., Weizman, A., Lev-Ran, S., & Shoval, G. (2016). Predictors of developing mathematics anxiety among middle-school students: a 2-year prospective study. International Journal of Psychology, December. https://doi.org/10.1002/ijop.12403.

  • Midgley, C., Maehr, M. L., Hruda, Ludmila Z. Anderman, Eric Anderman, Lynley Freeman, Kimberley E. Gheen, Margaret; Kaplan Avi; Kumar, Revathy Middleton, Michael J. Nelson, J., Robert, R., & Urdan, T. (2000). Manual for the patterns of adaptive learning scales

  • Navarro, R. L., Flores, L. Y., & Worthington, R. L. (2007). Mexican American middle school students’ goal intentions in mathematics and science: a test of social cognitive career theory. Journal of Counseling Psychology, 54(3), 320–335. https://doi.org/10.1037/0022-0167.54.3.320.

    Article  Google Scholar 

  • Nugent, G., Barker, B., & Welch, G. (2014). A model of STEM learning and career orientation based on social cognitive theory. Proceedings of Society for Information Technology & Teacher Education International Conference 2014, 1432–1440.

  • Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66(4), 543–578. https://doi.org/10.3102/00346543066004543.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Pajares, F., & Barich, J. (2005). Assessing mathematics self-efficacy: are skills-specific measures better than domain-specific measures ? Psychology, 12(3).

  • Pajares, F., & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24(2), 124–139.

    Article  Google Scholar 

  • Pajares, F., & Kranzler, J. (1995). Self-efficacy beliefs and general mental ability in mathematical problem-solving. Contemporary Educational Psychology, 20(4), 426–443. https://doi.org/10.1006/ceps.1995.1029.

    Article  Google Scholar 

  • 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(2), 193–203. https://doi.org/10.1037//0022-0663.86.2.193.

    Article  Google Scholar 

  • Richardson, F. C., & Suinn, R. M. (1973). A comparison of traditional systematic desensitization, accelerated massed desensitization, and anxiety management training in the treatment of mathematics anxiety. Behavior Therapy, 4(2), 212–218. https://doi.org/10.1016/S0005-7894(73)80030-9.

    Article  Google Scholar 

  • 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(3), 458–476. https://doi.org/10.1002/sce.20431.

    Article  Google Scholar 

  • Romero, C., Master, A., Paunesku, D., Dweck, C. S., & Gross, J. J. (2014). Academic and emotional functioning in middle school: the role of implicit theories. Emotion, 14(2), 227–234. https://doi.org/10.1037/a0035490.

    Article  Google Scholar 

  • Schumacker, R. E., & Lomax, R. G. (2016). A beginner’s guide to structural equation modeling (4th ed.). New York, NY: Routledge.

    Google Scholar 

  • Schunk, D. H., & Pajares, F. (2002). The development of academic self-efficacy. In A. Wigfield & J.Eccles (Ed.), Development of achievement motivation (Vol. 1446, pp. 15–31). San Diego: Academic Press.

  • Schwery, D., Hulac, D., & Schweinle, A. (2016). Understanding the gender gap in mathematics achievement: the role of self-efficacy and stereotype threat. School Psychology Forum, 10(4), 386–396.

    Google Scholar 

  • Seegers, G., & Boekaerts, M. (1996). Gender-related differences in self-referenced conditions in relation to mathematics. Journal of Research in Mathematics Education, 27(2), 215–240.

    Article  Google Scholar 

  • Tellhed, U., Bäckström, M., & Björklund, F. (2017). Will I fit in and do well? The importance of social belongingness and self-efficacy for explaining gender differences in interest in STEM and HEED majors. Sex Roles, 77(1–2), 86–96. https://doi.org/10.1007/s11199-016-0694-y.

    Article  Google Scholar 

  • Tobias, S. (1993). Overcoming math anxiety: revised and expanded. New York, NY: WW Norton & Company.

    Google Scholar 

  • Todor, I. (2014). Investigating “the old stereotype” about boys/girls and mathematics: gender differences in implicit theory of intelligence and mathematics self-efficacy beliefs. Procedia - Social and Behavioral Sciences, 159, 319–323. https://doi.org/10.1016/j.sbspro.2014.12.380.

    Article  Google Scholar 

  • Toland, M. D., & Usher, E. L. (2016). Assessing mathematics self-efficacy: how many categories do we really need? Journal of Early Adolescence, 36(7), 932–960. https://doi.org/10.1177/0272431615588952.

    Article  Google Scholar 

  • Turner, S. L., & Lapan, R. T. (2005). Evaluation of an intervention to increase non-traditional career interests and career-related self-efficacy among middle-school adolescents. Journal of Vocational Behavior, 66(3), 516–531. https://doi.org/10.1016/j.jvb.2004.02.005.

    Article  Google Scholar 

  • Turner, S. L., Steward, J. C., & Lapan, R. T. (2004). Family factors associated with sixth-grade adolescents’ math and science career interests. The Career Development Quarterly, 53(1), 41–52. https://doi.org/10.1002/j.2161-0045.2004.tb00654.x.

    Article  Google Scholar 

  • Usher, E. L., & Pajares, F. (2009). Sources of self-efficacy in mathematics: aq validation study. Contemporary Educational Psychology, 34(1), 89–101. https://doi.org/10.1016/j.cedpsych.2008.09.002.

  • Verniers, C., & Martinot, D. (2015). Perception of students ’ intelligence malleability and potential for future success: unfavourable beliefs towards girls. British Journal of Educational Psychology, 85(3), 289–299. https://doi.org/10.1111/bjep.12073.

    Article  Google Scholar 

  • Wigfield, A., & Eccles, J. S. (2002). Students’ motivation during the middle school years. In J. Aronson (Ed.), Improving academic achievement: Impact of psychological factors on education (pp. 159–184). San Diego: Academic Press.

    Chapter  Google Scholar 

  • Wood, R., & Bandura, a. (1989). Impact of conceptions of ability on self-regulatory mechanisms and complex decision making. Journal of Personality and Social Psychology, 56(3), 407–415. https://doi.org/10.1037/0022-3514.56.3.407.

    Article  Google Scholar 

  • Young, A. J., & Urdan, T. C. (1993). The influence of perceived classroom goals and prior beliefs on aspects of student motivation. Poster Presented at the Annual Meeting of the American Educational Research Association, Atlanta, GA. Retrieved from http://files.eric.ed.gov/fulltext/ED366622.pdf

  • Zeldin, A. L., Britner, S. L., & Pajares, F. (2008). A comparative study of the self-efficacy beliefs of successful men and women in mathematics, science, and technology careers. Journal of Research in Science Teaching, 45(9), 1036–1058. https://doi.org/10.1002/tea.20195.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Teacher Education, College of Education and Behavioral Sciences, Western Kentucky University, Bowling Green, KY, 42101, USA

    Xiaoxia Huang

  2. Department of Curriculum and Instruction, University of Houston, Houston, TX, 77204, USA

    Jie Zhang

  3. South Warren Middle School, 295 Rich Pond Rd, Bowling Green, KY, 42104, USA

    Laura Hudson

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  1. Xiaoxia Huang
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  2. Jie Zhang
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  3. Laura Hudson
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Correspondence to Xiaoxia Huang.

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Xiaoxia Huang. School of Teacher Education, College of Education and Behavioral Sciences, Western Kentucky University, Bowling Green, KY 42101, USA. Email: xiaoxia.huang@wku.edu

Current themes of research:

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Huang, X., & Cribbs, J. (2017). Examples as an instructional tool in mathematics and science classrooms: Teachers’ perceptions and experience. Pedagogies: An International Journal, (12)4, 374-390. DOI: 10.1080/1554480X.2017.1362349

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Jie Zhang. Department of Curriculum and Instruction, University of Houston, Houston, TX 77204, USA. Email: jzhang64@uh.edu

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Laura Hudson. South Warren Middle School, 295 Rich Pond Rd, Bowling Green, KY 42104, USA. Email: laura.hudson2@warren.kyschools.us

Current themes of research:

Curriculum and Instruction. Motivation. Basic Psychological Need Fulfillment. Leadership

Most relevant publications:

Hudson, L. M. (2015). What factors of motivation predict achievement of college readiness? A study of self-determination and college readiness (Doctoral Dissertation). Retrieved from https://digitalcommons.liberty.edu/doctoral/1004.

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Huang, X., Zhang, J. & Hudson, L. Impact of math self-efficacy, math anxiety, and growth mindset on math and science career interest for middle school students: the gender moderating effect. Eur J Psychol Educ 34, 621–640 (2019). https://doi.org/10.1007/s10212-018-0403-z

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