IMPROVING STUDENTS' COGNITIVE COMPETENCE IN APPLIED MATHEMATICS EDUCATION AS A METHODOLOGICAL PROBLEM

This article provides a scientific and theoretical analysis of the issues related to the development and improvement of cognitive competence among students studying in the field of applied mathematics education, considering it as a methodological problem. In the modern educational process, developing students’ independent thinking, analytical reasoning, problem-solving abilities, and mathematical modeling skills is regarded as an important pedagogical task. The article analyzes the essence of the concept of cognitive competence, its structural components, its role in applied mathematics education, and methodological approaches aimed at developing this competence.本文针对应用数学教育领域学生认知胜任力（Cognitive Competence）的发展与提升相关问题，将其作为方法论课题展开科学理论分析。在现代教育进程中，培育学生的独立思维、分析推理、问题解决能力与数学建模技能，已成为一项重要的教育教学任务。本文还剖析了认知胜任力概念的本质内涵、其结构组成要素、在应用数学教育中的作用，以及旨在提升该胜任力的方法论路径。