Educational Computer Programs Can be Used as a Tool to Help Students Develop Key Concepts and Cognitive Skills When Studying Mathematics

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Svetlana N. Dvoryatkina, Roman A. Melnikov, Vladimir E. Shcherbatykh

Abstract

The article highlights the issue of improving cognitive processes in terms of individualization and personalization of learning paths, addressing the gap in students' basic mathematical knowledge through the use of digital technologies and computer-assisted learning systems. The presented computer-based mathematics training program with animated elements aims to ensure that students thoroughly comprehend key mathematical concepts, which are essential during the initial stage of university studies. To evaluate the effectiveness of implementing this program in the learning process, criteria were developed to assess students' mastery of educational material, the quality of their understanding of mathematical concepts, and the development of cognitive skills.The test revealed statistically significant trends in all the indicators studied (the degree of comprehension of the volume of concepts, the completeness of the development of the ability to work with concepts in problem-solving, the depth of understanding of the connections and relationships between a particular concept and others, as well as the mechanisms of memorization, comprehension, synthesis, analysis, and evaluation).

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