Mathematical Resilience and Motivation to Study in Mathematically Gifted Students - Self-Determination Approach
DOI:
https://doi.org/10.12775/PBE.2023.001Abstract
Aim. This study aims to analyse the relationship between mathematical resilience (MR) and motivation (MOT) of mathematically gifted students (MG) through the lens of the self-determination theory (SDT). Questions. Based on a review of the results of previous research, the current study sought answers to four research questions revolving around the relationship between MR and MOT, the predictors of high mathematical achievement, the level and differentiations of dimensions of MR, and the types of MOT in a group of Polish MG high school students aged 16-18 (n = 113). The results of MG group were compared to a comparison group (n = 121). Method. The Mathematical Resilience Scale (MRS-24) and the Motivation to Learn Questionnaire (MLQ-30) were used to measure MR and MOT. Correlation analyses between indicators of the variables, regression analysis and statistical intergroup comparisons were conducted as well. Results. Significant correlations were found between MR and MOT in the MG group. The strongest predictors of high mathematical achievement in the MG appeared to be the students’ beliefs regarding the value of mathematics, along with their overall level of MOT to learn. The level of MR was elevated in the MG and was observed to be significantly higher compared to that in the comparison group. The dimension analysis of MR indicated the particular importance of the perceived values of mathematics as the leading factor in this variable that most strongly differentiated the two groups. The analysis of MOT types in the MG depicted that they manifested mainly intrinsic MOT, identification and introjection, and the level of indicators of these three types of MOT distinguished in the SDT was significantly higher in this group than those in the comparison group. Conclusion. As indicated by the study, the promotion of the social value of mathematics is crucial in shaping students’ MR and MOT as efficient problem-solving tools in school and daily life.
References
Bandura, A. (2006). Toward a Psychology of Human Agency. Perspectives on Psychological Science, 1(2), 164–180, doi: 10.1111/j.1745-6916.2006.00011.x.
Beilock, S., & Maloney, E. (2015). Math Anxiety: A Factor in Math Achievement Not To Be Ignored. Behavioral and Brain Sciences, 2(1), 4–12, doi: 10.1177/237273221560143.
Clinkenbeard, P. (2012). Motivation and Gifted Students: Implications of Theory and Research. Psychology in the Schools, 49, 622–630, doi: 10.1002/pits.21628.
Deci, E., & Ryan, R. (2000). The “What” and “Why” of Goal Pursuits: Human Needs and the Self-Determination of Behavior. Psychological Inquiry, 11, 227–268, doi: 10.1207/S15327965PLI1104_01.
Deci, E., Vallerand, R., Pelletier, L., & Ryan, R. (1991). Motivation and Education: The Self-Determination Perspective. Educational Psychologist, 26(3), 325–346, doi: 10.1080/00461520.1991.9653137.
Gagne, F. (1995). From Giftedness to Talent: A Developmental Model and Its Impact on the Language of the Field. Roeper Review, 18(2), 103–111, doi: 10.1080/02783199509553709.
Goźdź, J. (2015). Konstrukcja kwestionariusza motywacji do nauki w oparciu o koncepcję Self-Determination Theory E. Deciego i R. Ryana [Construction of the Questionnaire on Motivation to Learn Based on the Concept of Self-Determination Theory by E. Deci and R. Ryan]. Przegląd Pedagogiczny, 1, 263–270.
Guay, F. (2022). Applying Self-Determination Theory to Education: Regulations Types, Psychological Needs, and Autonomy Supporting Behaviors. Canadian Journal of School Psychology, 37(1), 75–92, doi: 10.1177/0829573521105535.
Heller, K., & Perleth, C. (2008). The Munich High Ability Test Battery (MHBT): A Multidimensional, Multimethod Approach. Psychology Science, 50, 173. Johnston-Wilder, S., & Lee, C. (2010). Developing Mathematical Resilience. In: BERA Annual Conference 2010, 1–4 Sep 2010, University of Warwick. Retrieved
October 2022 from: http://www.beraconference.co.uk/2010.
Knopik, T. (2019). Uczniowie zdolni w systemie edukacji – od rozpoznania barier rozwoju do modelu wsparcia [Gifted Students in the Education System – From the Identification of Development Barriers to The Model of Support]. In: P. Kostyło (Ed.), Szkoła rownych szans [School of Equal Opportunities], (pp. 284– 299). Bydgoszcz: Wydawnictwo UKW.
Knopik, T., & Oszwa, U. (2019). Self-Determination and Development of Emotional and Social Competences and the Level of School Achievements in 10-11-Year- Old Polish Students. Education, 3-13, doi: 10.1080/03004279.2019.1686048.
Knopik, T., & Oszwa, U. (2021). E-Cooperative Problem Solving as a Strategy for Learning Mathematics During the COVID-19 Pandemic. Education in the Knowledge Society, 22, Article e25176, doi: 10.14201/eks.25176.
Kooken, J., Welsh, M., McCoach, B., Johnston-Wilder, S., & Lee, C. (2015). Developmental and Validation of The Mathematical Resilience Scale. Measurement and Evaluation in Counselling and Development, 49(3), 217–242, doi: 10.1177/0748175615596782.
Kuźma, B., Szulawski, M., Vansteenkiste, M., & Cantarero, K. (2020). Polish Adaptation of the Basic Psychological Needs Satisfaction and Frustration Scale. Frontiers in Psychology, 10(3034), doi: 10.3389/fpsyg.2019.03034.
Lee, C., & Johnston-Wilder, S. (2017). The Construct of Mathematical Resilience. In: E. Xolocotzin E.U. (Ed.), Understanding Emotions in Mathematical Thinking and Learning (pp. 269–291). NY: Elsevier.
Lo, C., & Porath, M. (2017). Paradigm Shifts in Gifted Education: An Examination vis-a-vis Its Historical Situatedness and Pedagogical Sensibilities. Gifted Child Quarterly, 61(4), 343−360, doi: 10.1177/0016986217722840.
Luthar, S., & Brown, P. (2007). Maximizing Resilience Through Diverse Levels of Inquiry: Prevailing Paradigms, Possibilities, and Priorities for the Future. Development and Psychopathology, 19, 931–955, doi: 10.1017/S0954579407000454.
Masten, A. (2001). Ordinary Magic: Resilience Processes in Development. American Psychologist, 56(3), 227–238, doi: 10.1037/0003-066X.56.3.227.
Niemiec, C., & Ryan, R. (2009). Autonomy, Competence and Relatedness in the Classroom. Applying Self-Determination Theory to Educational Practice. Theory and Research in Education, 7(2), 133–144, doi: 10.1177/1477878509104318.
Oszwa, U. (2017). Wczesna matematyzacja dziecka – czynniki stymulujące i hamujące [Early Mathematization of the Child – Stimulating and Inhibiting Factors]. Pedagogika Przedszkolna i Wczesnoszkolna, 2(5), 403–414.
Oszwa, U. (2020). Lęk przed matematyką – poglądy, badania, rozwiązania [Math Anxiety – Concepts, Research, Solutions]. Lublin: Wydawnictwo UMCS.
Oszwa, U., Domagała-Zyśk, E., & Knopik, T. (2017). Zasoby odpornościowe uczniów w środkowym wieku szkolnym a ryzyko niedostosowania społecznego [Resilience Resources of Middle-School-Aged Students and the Risk of Social Maladjustment]. Ruch Pedagogiczny, 1, 91–104.
Phillips, N., & Lindsay, G. (2006). Motivation in Gifted Students. High Ability Studies, 17(1), 57–73, doi: 10.1080/13598130600947119.
Pieronkiewicz, B., & Szczygieł, M. (2019). How Can Parents and Elementary School Teachers Promote Resilience in Young Children Through Mathematical Conversations? Early Child Development and Care, doi: 10.1080/03004430.2019.1647189.
Ramirez, G., Shaw, S., & Maloney, E. (2018). Math Anxiety: Past Research, Promising Interventions, and a New Interpretation Framework. Educational Psychologist, 53(3), 145–164, doi: 10.1080/00461520.2018.1447384.
Ryan, R., & Deci, E. (2000). Self-Determination Theory and the Facilitation of Intrinsic Motivation, Social Development, and Well-Being. American Psychologist, 55(1), 68–78, doi: 10.1037/0003-066X.55.1.68.
Ryan, R., & Deci, E. (2020). Intrinsic and Extrinsic Motivation from a Self-Determination Theory Perspective: Definitions, Theory, Practices, and Future Directions. Contemporary Educational Psychology, 61(101860), doi: 10.1016/j.cedpsych.2020.101860.
Seligman, M. (2002). Optymizmu można się nauczyć [Optimism Can Be Learned]. Poznań: Media Rodzina.
Sękowski, A. (2000). Osiągnięcia uczniow zdolnych [Achievements of Gifted Students]. Lublin: Wydawnictwo KUL.
Sternberg, R.J. (1999). The Theory of Successful Intelligence. Review of General Psychology, 3, 292–316, doi: 10.1037/1089-2680.3.4.292.
Turska, D., & Oszwa, U. (2017). Nauczycielskie atrybucje zdolności do matematyki uczniow i uczennic [Teacher Attributions of Male and Female Students’ Mathematics Ability]. Kwartalnik Pedagogiczny, 2, 24, 25–40, doi: 10.5604/01.3001.0010.3278.
Turska, D., & Oszwa, U. (2018). Stereotyp płci w uczeniu się matematyki [Gender Stereotyping in Learning Mathematics]. Kwartalnik Pedagogiczny, 3(249), 57–73, doi: 10.5604/01.3001.0012.7429.
Vallerand, R. (2001). Deci and Ryan’s Self-Determination Theory: A View from the Hierarchical Model of Intrinsic and Extrinsic Motivation. Commentaries. Psychological Inquiry, 11, 312–318, doi: 10.1016/j.cedpsych.2020.101860.
Vansteenkiste, M., Lens, W., & Deci, E. (2006) Intrinsic Versus Extrinsic Goal Contents in Self-Determination Theory: Another Look at the Quality of Academic Motivation. Educational Psychologist, 41(1), 19–31, doi: 10.1207/s15326985ep4101_4.
Yeager, D., & Dweck, C. (2012). Mindsets That Promote Resilience: When Students Believe That Personal Characteristics Can Be Developed. Educational Psychologist, 47(4), 302–314, doi: 10.1080/00461520.2012.722805.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Tomasz Knopik, Urszula Oszwa
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Stats
Number of views and downloads: 550
Number of citations: 0