Abstract
In this article, educational and psychological perspectives are used to examine how anxiety and uncertainty in the mathematics classroom can be reframed to benefit mathematical teaching and learning. Links between anxiety and uncertainty are discussed and from this discussion, two methods are proposed for reducing the negative impact of mathematics anxiety on learning. Firstly, it is argued that initiatives designed to teach students to use emotion regulation skills can help to reframe anxiety and improve students’ ability to regulate negative emotion. In particular, the skill of reappraisal is discussed. Secondly, it is proposed that pedagogical approaches that encourage students to embrace challenge will help to normalise uncertainty in classrooms and promote more positive affect and engagement with mathematics. These approaches include choosing suitable tasks, differentiating those tasks, orchestrating classroom discussions that include all students and consolidating the learning with further tasks suitably varied. Rather than teachers seeking to remove anxiety, students can be encouraged to manage their anxiety in order to promote more positive mathematical learning and to develop mathematical resilience.
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References
ACARA (2009). The shape of the Australian Curriculum: Mathematics. Retrieved from http://www.acara.edu.au/verve/_resources/Australian_Curriculum_-_Maths.pdf
Alfieri, L., Brooks, P. J., Aldrich, N. J., & Tenenbaum, H. R. (2011). Does discovery-based instruction enhance learning? Journal of Educational Psychology, 103(1), 1–18.
Ashcraft, M. H., & Kirk, E. P. (2001). The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General, 130(2), 224–237.
Ashcraft, M. H., & Moore, A. M. (2009). Mathematics anxiety and the affective drop in performance. Journal of Psychoeducational Assessment, 27(3), 197–205.
Baloglu, M., & Kocak, R. (2006). A multivariate investigation of the differences in mathematics anxiety. Personality and Individual Differences, 40(7), 1325–1335.
Beilock, S. L., Schaeffer, M. W., & Rozek, C. S. (2017). Understanding and addressing performance anxiety. In A. J. Elliot, C. S. Dweck, & D. S. Yeager (Eds.), Handbook of competence and motivation: Theory and application (pp. 155–172). The Guilford Press.
Boaler, J., Munson, J., & Williams, C. (2021). Mindset mathematics: Visualizing and investigating big ideas, Grade 1. John Wiley & Sons.
Boaler, J., Dieckmann, J. A., Pérez-Núñez, G., Sun, K. L., & Williams, C. (2018). Changing students minds and achievement in mathematics: The impact of a free online student course. Frontiers in Education, 3(26). https://doi.org/10.3389/feduc.2018.00026
Brooks, A. W. (2014). Get excited: Reappraising pre-performance anxiety as excitement. Journal of Experimental Psychology: General, 143(3), 1144–1158.
Buckley, S., Reid, K., Goos, M., Lipp, O. V., & Thomson, S. (2016). Understanding and addressing mathematics anxiety using perspectives from education, psychology and neuroscience. Australian Journal of Education, 60(2), 157–170.
Buckley, S., Reid, K., Lipp, O. V., Goos, M., Bethune, N., & Thomson, S. (2020). Addressing mathematics anxiety in primary teaching. In A, Carroll, R. Cunnington, & A. Nugent (Eds.) Learning under the lens: Applying findings from the science of learning to the classroom (pp. 78–92). Taylor & Francies Ltd.
Caro, D. H., Lenkeit, J., & Kyriakides, L. (2015, March). Instructional approaches and differential effectiveness across learning contexts: Evidence from PISA 2012. Paper presented at the CIES Conference, Washington, DC.
Christiansen, B., & Walther, G. (1986). Task and activity. In H. Christiansen., A.G. Howson & M. Otte (Eds.) Perspectives on Mathematics Education (pp. 243–307). Reidel.
Clarke, D., Roche, A., Cheeseman, J., & Sullivan, P. (2014). Encouraging students to persist when working on challenging tasks: Some insights from teachers. Australian Mathematics Teacher, 70(1), 3–11.
Claro, S., Paunesku, D., & Dweck, C. S. (2016). Growth mindset tempers the effects of poverty on academic achievement. Proceedings of the National Academy of Sciences, 113(31), 8664–8668.
Daker, R. J., Gattas, S. U., Sokolowski, H. M., Green, A. E., & Lyons, I. M. (2021). First-year students’ math anxiety predicts STEM avoidance and underperformance throughout university, independently of math ability. npj Science of Learning, 6(1), 1–13. doi: https://doi.org/10.1038/s41539-021-00095-7
Department of Education and Training Melbourne (2017). High impact teaching strategies. Downloaded in August 2019 from https://www.education.vic.gov.au/documents/school/teachers/support/highimpactteachstrat.pdf
Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Frontiers in Psychology, 7, Article 508.
Dweck, C. S. (1975). The role of expectations and attributions in the alleviation of learned helplessness. Journal of Personality and Social Psychology, 31(4), 674–685.
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.
Elliot, A. J. (1999). Approach and avoidance motivation and achievement goals. Educational Psychologist, 34(3), 169–189.
Garcia, T., & Pintrich, P. R. (1994). Regulating motivation and cognition in the classroom: The role of self-schemas and self-regulatory strategies. In D. H. Schunk & B. J. Zimmerman (Eds.), Self-regulation of Learning and Performance: Issues and Educational Applications (pp. 127–153). Lawrence Erlbaum Associates.
Gross, J. J. (2002). Emotion regulation: Affective, cognitive, and social consequences. Psychophysiology, 39(3), 281–291.
Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33–46.
Ho, H. Z., Senturk, D., Lam, A. G., Zimmer, J. M., Hong, S., Okamoto, Y., Chiu, S. U., Nakazawa, Y., & Wang, C. P. (2000). The affective and cognitive dimensions of math anxiety: A cross-national study. Journal for Research in Mathematics Education, 31(3), 362–379.
Jamieson, J. P., Nock, M. K., & Mendes, W. B. (2013). Changing the conceptualization of stress in social anxiety disorder: Affective and physiological consequences. Clinical Psychological Science, 1(4), 363–374.
Jamieson, J. P., Peters, B. J., Greenwood, E. J., & Altose, A. J. (2016). Reappraising stress arousal improves performance and reduces evaluation anxiety in classroom exam situations. Social Psychological and Personality Science, 7(6), 579–587.
Lodge, J., Kennedy, G., Lockyer, L., Arguel, A., Pachman, M. (2018). Understanding difficulties and resulting confusion in learning: An integrative review Frontiers in Education 3. https://doi.org/10.3389/feduc.2018.00049
Lyons, I. M., & Beilock, S. L. (2012). Mathematics anxiety: Separating the math from the anxiety. Cerebral Cortex, 22(9), 2102–2110.
Ma, X. (1999). A meta-analysis of the relationship between anxiety toward mathematics and achievement in mathematics. Journal for Research in Mathematics Education, 30(5), 520–540.
Maloney, E. A., Schaeffer, M. W., & Beilock, S. L. (2013). Mathematics anxiety and stereotype threat: Shared mechanisms, negative consequences and promising interventions. Research in Mathematics Education, 15(2), 115–128.
McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of Research on Mathematics Learning and Teaching (pp. 575–596). Macmillan.
Miceli, M., & Castelfranchi, C. (2005). Anxiety as an “epistemic” emotion: An uncertainty theory of anxiety. Anxiety, Stress, and Coping, 18(4), 291–319.
Middleton, J. A. (1995). A study of intrinsic motivation in the mathematics classroom: A personal construct approach. Journal for Research in Mathematics Education, 26(3), 254–279.
Middleton, J. A., & Spanias, P. A. (1999). Motivation for achievement in mathematics: Findings, generalizations, and criticisms of the research. Journal for Research in Mathematics Education, 30(1), 65–88.
OECD. (2013). PISA 2012 Results: Ready to learn: Students’ engagement, drive and self-beliefs (Volume III). OECD Publishing.
Park, D., Ramirez, G., & Beilock, S. L. (2014). The role of expressive writing in math anxiety. Journal of Experimental Psychology: Applied, 20(2), 103–111.
Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18(4), 315–341.
Pekrun, R., Goetz, T., Daniels, L. M., Stupnisky, R. H., & Perry, R. P. (2010). Boredom in achievement settings: Exploring control–value antecedents and performance outcomes of a neglected emotion. Journal of Educational Psychology, 102(3), 531–549.
Ramirez, G., Shaw, S. T., & Maloney, E. A. (2018). Math anxiety: Past research, promising interventions, and a new interpretation framework. Educational Psychologist, 53(3), 145–164.
Richardson, F. C., & Suinn, R. M. (1972). The mathematics anxiety rating scale. Journal of Counseling Psychology, 19, 551–554.
Rosen, N. O., Ivanova, E., & Knäuper, B. (2014). Differentiating intolerance of uncertainty from three related but distinct constructs. Anxiety, Stress & Coping, 27(1), 55–73.
Russo, J., Bobis, J., Downton, A., Hughes, S., Livy, S., McCormick, M., & Sullivan, P. (2019). Teaching with challenging tasks in the first years of school: What are the obstacles and how can teachers overcome them? Australian Primary Mathematics Classroom, 24(1), 11–18.
Russo, J., & Hopkins, S. (2019). Teachers’ perceptions of students when observing lessons involving challenging tasks. International Journal of Science and Mathematics Education, 17(4), 759–779.
Scheiner, T. (2020). Dealing with opposing theoretical perspectives: Knowledge in structures or knowledge in pieces? Educational Studies in Mathematics, 104, 127–145.
Smith, C. A., Haynes, K. N., Lazarus, R. S., & Pope, L. K. (1993). In search of the “hot” cognitions: Attributions, appraisals, and their relation to emotion. Journal of Personality and Social Psychology, 65(5), 916–929.
Sullivan, P., Askew, M., Cheeseman, J., Clarke, D., Mornane, A., Roche, A., & Walker, N. (2014). Supporting teachers in structuring mathematics lessons involving challenging tasks. Journal of Mathematics Teacher Education, 18(2), 123–140.
Sullivan, P., Bobis, J., Downton, A., Hughes, S., Livy, S., McCormick, M., & Russo, J. (2020). Ways that relentless consistency and task variation contribute to teacher and student mathematics learning. In For the Learning of Mathematics: Proceedings of a symposium on Learning in Honour of Laurinda Brown: Monograph 1 (pp. 32–37). FLM Publishing Association.
Sullivan, P. A., Mousley, J., & Zevenbergen, R. L. (2009). Tasks and pedagogies that facilitate mathematical problem solving. In B. Kaur, Yeap Ban Har and M. Kapur (Eds) Mathematical problem solving - Yearbook 2009 (pp. 17–42). World Scientific.
Sullivan, P., & Clarke, D. J. (1991). Catering to all abilities through “good” questions. Arithmetic Teacher, 39(2), October, 14–18.
Sullivan, P., Clarke, D. M., & Clarke, B. A. (2013). Teaching with tasks for effective mathematics learning. Springer.
Thomson, S., De Bortoli, L. J., & Buckley, S. (2013). PISA 2012: How Australia measures up. Melbourne: Australian Council for Educational Research.
Weiner, B. (2010). The development of an attribution-based theory of motivation: A history of ideas. Educational Psychologist, 45(1), 28–36.
Wentzel, K. R., & Wigfield, A. (1998). Academic and social motivational influences on students’ academic performance. Educational Psychology Review, 10(2), 155–175.
Wigfield, A., & Meece, J. L. (1988). Math anxiety in elementary and secondary school students. Journal of Educational Psychology, 80(2), 210–216.
Williams, A. S. (2013). Worry, intolerance of uncertainty, and statistics anxiety. Statistics Education Research Journal, 12(1), 48–59.
Yeager, D. S., Romero, C., Paunesku, D., Hulleman, C. S., Schneider, B., Hinojosa, C., et al. (2016). Using design thinking to improve psychological interventions: The case of the growth mindset during the transition to high school. Journal of Educational Psychology, 108(3), 374–391.
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Both authors were involved in all stages and aspects of the article. The first author took the lead on the literature review and the discussion and interpretation of mathematics anxiety and emotion regulation, and the second author of summary and explanation of aspects related to mathematics and its pedagogy.
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Buckley, S., Sullivan, P. Reframing anxiety and uncertainty in the mathematics classroom. Math Ed Res J 35 (Suppl 1), 157–170 (2023). https://doi.org/10.1007/s13394-021-00393-8
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DOI: https://doi.org/10.1007/s13394-021-00393-8