Improving the Efficiency of Mathematics Education through the Development of a Stochastic Worldview of Students

Abstract

This research is about developing stochastic worldview formation among high school students (grades 10 and 11) based on integrating scientific approaches, namely, information and technology, interdisciplinary, system, and activity approaches. Developing the structural components of a stochastic worldview, such as motivation–value relations, intuitive–figurative perception, and rational–logic acceptance, determines the most effective way for students in grades 10 and 11 to form a worldview when teaching stochastics. The research site was School Gymnasium No. 11 in Yelets, located in the Lipetsk region. Tests, questionnaires, and documentation were used as data collection methods. The methodology of data analysis included descriptive statistics. According to Fisher's angular transformation criterion (φ), the validation of the experimental data confirmed the research efficiency. This study showed that the proposed tool improves students' motivation, value, and worldview constructs, guiding them to understand the stochastic component of the world around them. The results complement the methodological and methodical features of math education, which aims to develop helpful worldview qualities of students. These results can be beneficial for methodical science since, with their help, it specifies the known approaches, ideas, methodological means in mathematics education, and upbringing of high school students.