Self-Determination in Maths Education: How to Strengthen Students’ Positive Attitude to Mathematics and Develop Their Emotional/Social Competences
Abstract
The aim of this study was to verify the effectiveness of the self-determination theory (SDT) in mathematics teaching methodology. In the experimental group, 62 fifth-graders had 10 months of maths lessons according to an original programme that prioritises three needs: autonomy, competence and relatedness.
The following research questions were formulated:
- How did students’ attitudes towards mathematics change under the influence of methodological interventions aimed at satisfying the three SDT needs?
- Did the methodological solutions contribute to better emotional/social competences in the students?
- Did the intervention result in higher maths achievement, measured by a maths knowledge and skills test and grades in the subject?
The findings included statistically significant differences in 1) positive attitude towards mathematics (measured by the semantic differential technique), 2) emotional/social competences (measured by the KA scale from the tool called TROS-KA) and 3) mathematical achievements (measured by a maths test and grades in school) in comparison to the control group (N = 59), where less positive attitudes towards mathematics, lower maths grades and no significant increase in emotional/social competences were observed.
References
Armoura, C., Berjot, S., Gillet, N., Caruana, S., Cohen, J., & Finez, L. (2015). Autonomy-supportive and controlling styles of teaching: Opposite or distinct teaching styles? Swiss Journal of Psychology, 74 (3), 141–158.
Barab, S., & Plucker, J. A. (2002). Smart people or smart contexts? Cognition, ability, and talent development in an age of situated approaches to knowing and learning. Educational Psychologist, 37(3), 165–182.
Barab, S., & Roth, W.-M. (2006). Curriculum-based ecosystems: Supporting knowing from an ecological perspective. Educational Researcher, 35(5). DOI: 10.3102/0013189X035005003
Blazar, D. (2015). Grade assignments and the teacher pipeline: A low-cost lever to improve student achievement? Educational Researcher, 44(4), 213-227. DOI: 10.3102/0013189X15580944
Bourgeois, S., & Boberg, J. (2016). High-achieving, cognitively disengaged middle level mathematics students: A self-determination theory perspective. Research in Middle Level Education, 39(9), 1–18. DOI: 10.1080/19404476.2016.1236230
Brandenberger, C., Hagenauer, G., & Hascher, T. (2018). Promoting students’ self-determined motivation in maths: Results of a one-year classroom intervention. European Journal of Psychology of Education, 33(2), 295–317. DOI: 10.1007/s10212-017-0336-y
Carey, E., Hill, F., Devine, A., & Szűcs, D. (2016). The chicken or the egg? The direction of the relationship between mathematics anxiety and mathematics performance. Frontiers in Psychology, 6. DOI: 10.3389/fpsyg.2015.01987
Carmichael, C., Muir, T., & Callingham, R. (2017). The impact of within-school autonomy on students’ goal orientations and engagement with mathematics. Mathematics Education Research Journal, 29(2), 219–236.
Chirkov, V., Ryan, R. M., Kim, Y., & Kaplan, U. (2003). Differentiating autonomy from individualism and independence: A self-determination theory perspective on internalization of cultural orientations and well-being. Journal of Personality and Social Psychology, 84(1), 97–110.
Ciżkowicz, B. (2017). Wyuczona bezradność jako zmienna pośrednicząca między stylem atrybucyjnym a osiągnięciami akademickimi [Learned helplessness as a mediating variable between attributive style and academic achievement]. Przegląd Badań Edukacyjnych, 24(1), 79–100.
Corkin, D., Ekmekci, A., & Parr, R. (2018). The effects of the school-work environment on mathematics teachers’ motivation for teaching: A self-determination theoretical perspective. Australian Journal of Teacher Education, 43(6), 50–66.
Cuevas, R., Nitoumanis, N., & Fernandez-Bustos, J. (2018). Does teacher evaluation based on student performance predict motivation, well-being, and ill-being? Journal of School Psychology, 6(68), 154–162.
Czapiński, J. (1978). Dyferencjał semantyczny [Semantic differential]. In L. Wołoszynowa (Ed.), Materiały do nauczania psychologii (seria III, t. 3) [Materials for teaching psychology, seris III, Vol. 3] (pp. 241–256). PWN.
Davadas, S., & Lay, Y. (2018). Factors affecting students’ attitude toward mathematics: A structural equation modelling approach. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 517–529.
Deci, E., & Ryan, R. (1985). Intrinsic motivation and self-determination in human behavior. Plenum.
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.
Deci, E., & Ryan, R. (2002). Handbook of self-determination research. University of Rochester Press.
Deci, E., Vallerand, R., Pelletier, L., & Ryan, R. (1991). Motivation and education: The self-determination perspective. Educational Psychologist, 26(3), 325–346.
Domagała-Zyśk E., Knopik, T., & Oszwa, U. (2017). Diagnoza funkcjonalna rozwoju społeczno-emocjonalnego uczniów w wieku 9-13 lat [Functional diagnosis of socio-emotional development of students aged 9–13]. Ośrodek Rozwoju Edukacji.
Erikson, E. (2004). Tożsamość a cykl życia [Identity and the life cycle]. Poznań: Wydawnictwo Zysk i S-ka.
Frenzel, A., Goetz, T., Lüdtke, O., Pekrun, R., & Sutton, R. (2009). Emotional transmission in the classroom: Exploring the relationship between teacher and student enjoyment. Journal of Educational Psychology, 101(3), 705–716.
Gibson, E. (2000). Where is the information for affordances? Ecological Psychology, 12, 53–56. DOI: 10.1207/S15326969ECO1201_5.
Grolnick, W., Deci, E., & Ryan, R. (1997). Internalization within the family: The self-determination theory perspective. In J. Grusec & L. Kuczynski (Eds.), Parenting and children’s internalization of values: A handbook of contemporary theory (pp. 135–161). John Wiley & Sons.
Hagger, M., Sarwat, S., Hardcastle, S., & Chatzisarantis, N. (2015). Perceived autonomy support and autonomous motivation toward mathematics activities in educational and out-of-school contexts is related to mathematics homework behavior and attainment. Contemporary Educational Psychology, 41, 111–123.
Humbree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33–46.
Justice, C., Rice, J., & Warry, W. (2009). Developing useful and transferable skills: Course design to prepare students for a life of learning. International Journal for the Scholarship of Teaching and Learning, 3, 2–9.
Kaplan, H. (2018). Teachers’ autonomy support, autonomy suppression and conditional negative regard as predictors of optimal learning experience among high-achieving Bedouin students. Social Psychology of Education, 21(1), 223–255.
Kiemer, K., Gröschner, A., Pehmer, A.-K., & Seidel, T. (2015). Effects of a classroom discourse intervention on teachers’ practice and students’ motivation to learn mathematics and science. Learning and Instruction, 35, 94–103.
Knopik, T., & Oszwa, U. (2019). Self-determination and development of emotional-social competences and the level of school achievements in 10–11-year-old Polish students. Education 3-13, 48(8), 972–987. DOI: 10.1080/03004279.2019.1686048
Knopik, T., & Oszwa, U. (2022). Developing transferable competences of students: The self-determination theory and challenges of future education. Lubelski Rocznik Pedagogiczny, 41(1), 53–66. DOI: http://dx.doi.org/10.17951/lrp.2022.41.1.53–6
Kunter, M., Tsai, Y.-M., Klusmann, U., Brunner, M., Krauss, S., & Baumert, J. (2008). Students’ and mathematics teachers’ perceptions of teacher enthusiasm and instruction. Learning and Instruction, 18, 468–482. DOI: /10.1016/j.learninstruc.2008.06.008
Leroy, N., & Bressoux, P. (2016). Does amotivation matter more than motivation in predicting mathematics learning gains? A longitudinal study of sixth-grade students in France. Contemporary Educational Psychology, 44–45(2016), 41–53.
Liu, W., Wang, C., & Ryan, R. (2016). Building autonomous learners: Perspectives from research and practice using self-determination theory. Springer.
Lohbeck, A. (2018). Self-concept and self-determination theory: Math self-concept, motivation, and grades in elementary school children. Early Child Development and Care, 188(8), 1031–1044. DOI: 10.1080/03004430.2016.1241778
Ma, X., & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27(2), 165–179.
Magne, M., & Deci, E. (2005). Self-determination theory and work motivation. Journal of Organizational Behavior, 26(4), 331–362.
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
Noels, K., Pelletier, L., Clement, R., & Vallerand, R. (2000). Why are you learning a second language? Motivational orientations and self‐determination theory. Language Learning, 50(1), 57–85.
Oga-Baldwin, W., Nakata, Y., Parker, P., & Ryan, R. (2017). Motivating young language learners: A longitudinal model of self-determined motivation in elementary school foreign language classes. Contemporary Educational Psychology, 49(2017), 140–150.
Orsini, C., Binnie, V., & Tricio, J. (2018). Motivational profiles and their relationships with basic psychological needs, academic performance, study strategies, self-esteem, and vitality in dental students in Chile. Journal of Educational Evaluation for Health Professions, 15(11). DOI: 10.3352/jeehp.2018.15.11
Osgood, C., Suci, D., & Tannenbaum, P. (1957). The measurement of meaning. University of Illinois Press.
Papanastasiou, C. (2008). A residual analysis of effective schools and effective teaching in mathematics. Studies in Educational Evaluation, 34(1), 24–30.
Pellegrino, J. (2012). Education for life and work: Guide for practitioners. National Research Council of the National Academies.
Reeve, J. (2002). Self-determination theory applied to educational settings. In E. Deci & R. M. Ryan (Eds.), Handbook of self-determination research (pp. 183–203). University of Rochester Press.
Sawin, G. (2004). General semantics for better transferable job skills. A Review of General Semantics, 61(1), 147–150.
Shah, S. (2013). The use of group activities in developing personal transferable skills. Innovations in Education and Teaching International, 50(3), 297–307.
Sternberg, R. (2003). Wisdom, intelligence, and creativity synthesized. Cambridge University Press.
Stevens, S., & Miretzky, D. (2014). The foundations of teaching for diversity: What teachers tell us about transferable skills. Multicultural Education, 3, 30–40.
Sutter-Brandenberger, C., Hagenauer, G., & Hascher, T. (2018). Students’ self-determined motivation and negative emotions in mathematics in lower secondary education: Investigating reciprocal relations. Contemporary Educational Psychology, 55, 166–175.
Trenshaw, K., Revelo, R., Earl, K., & Herman, G. (2016). Using self-determination theory principles to promote engineering students’ intrinsic motivation to learn. International Journal of Engineering Education, 32(3), 1194–1207.
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(4), 312–318.
Van Roekel, D. (2001). Preparing 21st-century students for a global society: An educator’s guide to the “Four Cs”. National Education Association.
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
Young, M., Depalma, A., & Garrett, S. (2002). Situations, interaction, process and affordances: An ecological psychology perspective. Instructional Science, 30(1), 47–63.
Copyright (c) 2023 Tomasz Knopik, Urszula Oszwa
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
- The Author/Authors agree(s) to publish the article free of charge in Multidisciplinary Journal of School Education in English or Spanish. The Editorial Board reserves the right to shorten the texts and change the titles.
- As part of free publication mentioned in § 1, the Author/Authors agrees to make the full electronic version of their article available in the Internet.
- The Author/Authors agrees to index their article in databases at home and abroad, including abstracts and keywords as well as Author's/Authors’ affiliation in English and in other languages. The Author/Authors agrees to pass on the information mentioned above to the owners of these databases.
- The Author/Authors declares that their publication is original and does not include borrowings from other works which might cause Publisher's responsibility, does not infringe the rights of the third party and that their copyright on this publication is not limited. The Author/Authors will incur all the costs and will pay compensations which might result from the mendacity of the following statement.
- The Author/Authors declares to bear complete responsibility for the scientific reliability of the article submitted. The detailed contribution of all co-authors is defined.
- The Author/Authors declares to publish the text in the Multidisciplinary Journal of School Education under a Creative Commons Attribution-NoDerivatives 4.0 International License (CC BY-ND 4.0).
- For more than one author, please complete the Authorship Contributions and send it to the editorial office. Please indicate the specific contributions made by each author (list the authors’ initials, e.g., JKH). Please download, complete, scan and attach the file in the system during the submission process.
Authors Statement - Authorship Contributions