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Positive Education and Teaching for Productive Disposition in Mathematics

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Views and Beliefs in Mathematics Education

Abstract

The Australian Curriculum: Mathematics defines four proficiency strands. The work from which they are drawn includes a fifth proficiency (productive disposition) that relates to students’ propensity to persevere and to perceive mathematics as worthwhile. We argue for the importance of productive disposition as reflecting the importance of affect in mathematics learning. We link it with work in positive education, particularly around character strengths, to suggest ways in which mathematics teachers’ awareness of the importance of affect might be raised. Positive education may offer a means of putting productive disposition on the agenda in considerations of improving mathematics achievement.

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References

  • Ajzen, I., & Fishbein, M. (1980). Understanding attitudes and predicting social behaviour. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Andrews, P. (2010). Finnish mathematics teaching from a reform perspective: A video-based case-study analysis. Comparative Education Review, 57(2), 189–211.

    Article  Google Scholar 

  • Archambault, I., Janosz, M., & Chouinard, R. (2012). Teacher beliefs as predictors of adolescents' cognitive engagement and achievement in mathematics. Journal of Educational Research, 105(5), 319–328.

    Article  Google Scholar 

  • Australian Curriculum Assessment and Reporting Authority. (2016). The Australian curriculum: Mathematics. Retrieved from http://www.australiancurriculum.edu.au/mathematics/structure.

    Google Scholar 

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it so special. Journal of Teacher Education, 59(5), 389–407.

    Article  Google Scholar 

  • Beswick, K. (2005). The beliefs/practice connection in broadly defined contexts. Mathematics Education Research Journal, 17(2), 39–68.

    Article  Google Scholar 

  • Beswick, K. (2017). Raising attainment: What might we learn from teachers' beliefs about their best and worst mathematics students? In C. Andra, D. Brunetto, E. Levenson, & P. Liljedahl (Eds.), Teaching and learning in maths classrooms (pp. 95–106). Cham: Springer International Publishing.

    Chapter  Google Scholar 

  • Beswick, K., & Callingham, R. (2014). The beliefs of pre-service primary and secondary mathematics teachers, in-service mathematics teachers, and mathematics teacher educators. In C. Nicol, P. Liljedahl, S. Oesterle, & D. Allan (Eds.), Proceedings of the 38th conference of the international group for the psychology of mathematics education (Vol. 2, pp. 137–144). Vancouver: PME.

    Google Scholar 

  • Boaler, J. (2013). Ability and mathematics: The mindset revolution this is reshaping education. Forum, 55(1), 143–152.

    Article  Google Scholar 

  • Choudhury, S. A., & Barooah, I. P. (2016). Character strengths and academic achievement in undergraduate college students. Indian Journal of Positive Psychology, 7(1), 76–83.

    Google Scholar 

  • Clarke, A., Friede, T., Putz, R., Ashdown, J., Martin, S., Blake, A., et al. (2011). Warwick-Edinburgh Mental Wellbeing Scale (WEMWBS): Validated for teenage school students in England and Scotland. Public Health, 11, 487.

    Google Scholar 

  • Deci, E. L., & Ryan, R. M. (1985). Intrinsic motivation and self-determination in human behavior. New York: Plenum Press.

    Book  Google Scholar 

  • Durlak, J. A., Weissberg, R. P., Dymnicki, A. B., Taylor, R. D., & Schellinger, K. B. (2011). The impact of enhancing students’ social and emotional learning: A meta-analysis of school based universal interventions. Child Development, 82, 405–432.

    Article  Google Scholar 

  • Dweck, C. S. (2006). Mindset: The new psychology of success. New York: Random House.

    Google Scholar 

  • Fredrickson, B. L. (2001). The role of positive emotions in positive psychology: The broaden and build theory of positive emotions. American Psychologist, 56(3), 218–226.

    Article  Google Scholar 

  • Grady, M. (2016). Whatever happened to productive disposition? Mathematics Teaching in the Middle School, 21(9), 516–517.

    Article  Google Scholar 

  • Green, L. S. (2014). Positive education: An Australian perspective. In M. J. Furlong, R. Gilman, & E. S. Huebner (Eds.), Handbook of positive psychology in schools (pp. 401–415). New York: Taylor & Francis.

    Google Scholar 

  • Hannula, M. S. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137–161.

    Article  Google Scholar 

  • International Positive Education Network. (n.d.). Retrieved from http://www.ipositive-education.net/.

  • Kalder, R. S., & Lesik, S. A. (2011). A classification of attitudes and beliefs towards mathematics for secondary mathematics pre-service teachers and elementary pre-service teachers: An exploratory study using latent class analysis. Issues in the Undergraduate Mathematics Preparation of School Teachers, 5, 20–20.

    Google Scholar 

  • Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.

    Google Scholar 

  • Ma, X., & Kishor, N. (1997). Assessing the relationship between attitude toward mathematics and achievement in mathematics: A meta-analysis. Journal for Research in Mathematics Education, 28(1), 26–47.

    Article  Google Scholar 

  • Madden, W., Green, S., & Grant, A. (2011). A pilot study evaluating strengths-based coaching for primary students: Enhancing engagement and hope. International Coaching Psychology Review, 61, 71–83.

    Google Scholar 

  • Moyer, J. C., Robison, V., & Cai, J. (2018). Attitudes of high-school students taught using traditional and reform mathematics curricula in middle school: A retrospective analysis. Educational Studies in Mathematics, 98(2), 115–134.

    Article  Google Scholar 

  • Muis, K. R., Psaradellis, C., Chevrier, M., DiLeo, I., & Lajioe, S. P. (2016). Learning by preparing to teach: fostering self-regulatory processes and achievement during complex mathematics problem solving. Journal of Educational Psychology, 308(4), 474–492.

    Article  Google Scholar 

  • OECD. (2014). PISA 2012 results: What 15-year-olds know and what they can do with what they know. Paris: OECD Publishing.

    Google Scholar 

  • OECD. (2016). Low performing students: Why they fall behind and how to help them succeed. Paris: PISA. OECD Publishing. https://doi.org/10.1787/97892642502246-en

    Book  Google Scholar 

  • Park, N., & Peterson, C. (2009). Character strengths: Research and practice. Journal of College and Character, 10(4), 1–10.

    Article  Google Scholar 

  • Peterson, C., & Seligman, M. E. (2004). Character strengths and virtues: A handbook and classification. New York, NY: Oxford University Press.

    Google Scholar 

  • Peterson, C., & Seligman, M. E. P. (2001). Classifying and measuring strengths of character. In S. J. Lopez & C. R. Synder (Eds.), Oxford handbook of positive psychology (2nd ed., pp. 25–33). New York: Oxford University Press.

    Google Scholar 

  • Romberg, T. A., & Kaput, J. J. (1999). Mathematics worth teaching, mathematics worth understanding. In E. Fennema & T. A. Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 3–17). Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Sakiz, G., Pape, S. J., & Hoy, A. W. (2012). Does perceived teacher affective support matter for middle school students in mathematics classrooms? Journal of School Psychology, 50(2), 235–255.

    Article  Google Scholar 

  • Seligman, M. E. P. (2011). Flourishing: A visionary new understanding of happiness and wellbeing. New York: Free Press.

    Google Scholar 

  • Shoshani, A., & Slone, M. (2013). Middle school transition for the strengths perspective: Young adolescents’ character strengths, subjective wellbeing and school adjustment. Journal of Happiness Studies, 14(1), 1163–1181.

    Article  Google Scholar 

  • Sullivan, P., & Mornane, A. (2014). Exploring teachers’ use of, and students’ reactions to, challenging mathematical tasks. Mathematics Education Research Journal, 26, 193–213.

    Article  Google Scholar 

  • Thomson, S., de Bortoli, L., & Buckley, S. (2013). PISA 2012: How Australia measures up. Camberwell, VIC: Australian Council for Educational Research.

    Google Scholar 

  • Thomson, S., Wernert, N., O'Grady, E., & Rodrigues, S. (2017). TIMSS 2015: Reporting Australia's results. Camberwell, VIC: Australian Council for Educational Research.

    Google Scholar 

  • Weber, M., Wagner, L., & Ruch, W. (2016). Positive feelings at school: On the relationship between students’ character strengths, school-related affect and school functioning. Journal of Happiness Studies, 17, 341–355.

    Article  Google Scholar 

  • Zins, J. E., Weissberg, R. P., Wang, M. C., & Walberg, H. J. (Eds.). (2004). Building academic success on social and emotional learning: What does the research say? New York: Teachers’ College Press.

    Google Scholar 

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Correspondence to Kim Beswick .

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Woodward, A., Beswick, K., Oates, G. (2018). Positive Education and Teaching for Productive Disposition in Mathematics. In: Rott, B., Törner, G., Peters-Dasdemir, J., Möller, A., Safrudiannur (eds) Views and Beliefs in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-01273-1_15

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  • DOI: https://doi.org/10.1007/978-3-030-01273-1_15

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