Mathematical Resilience and Motivation to Study in Mathematically Gifted Students - Self-Determination Approach

Tomasz Knopik, Urszula Oszwa
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Abstract

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.
数学资优学生的数学弹性与学习动机-自我决定方法
的目标。本研究旨在通过自我决定理论(SDT)分析数学资优学生数学弹性(MR)与动机(MOT)之间的关系。的问题。在回顾以往研究结果的基础上,本研究在一组16-18岁的波兰MG高中学生(n = 113)中,围绕MR与MOT之间的关系、高数学成绩的预测因素、MR维度的水平和差异以及MOT类型,寻求四个研究问题的答案。MG组与对照组(n = 121)进行比较。方法。采用数学弹性量表(MRS-24)和学习动机问卷(MLQ-30)测量MR和MOT。并对各变量指标进行相关性分析、回归分析和组间统计比较。结果。MG组MR与MOT有显著相关性。高数学成绩的最强预测因素似乎是学生对数学价值的信念,以及他们学习的总体水平。MG组MR水平升高,明显高于对照组。MR的维度分析表明,数学的感知价值作为这一变量的主要因素的特别重要性,最强烈地区分了两组。通过对MG中MOT类型的分析,主要表现为内生性MOT、识别性MOT和注入性MOT,且该组在SDT中区分出的这三种MOT的指标水平均显著高于对照组。结论。研究表明,促进数学的社会价值对于塑造学生的MR和MOT作为学校和日常生活中有效的解决问题的工具至关重要。
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