Геометрияны оқытуда GeoGebra бағдарламасын қолданудың тиімділігі

2026

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DOI 10.47344/5405cr59
Data confidence 70 medium
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Abstract

The process of digitalization in the modern educational space requires updating pedagogical technologies and didactic tools. The article experimentally investigates the effectiveness of using digital technologies in solving planimetry problems. The relevance of the study is determined by the need for the full utilization of the potential of these technologies in teaching geometry, as traditional tools are insufficient, and the use of digital instruments is often limited only to the function of visualization. The aim of the research is to study the capabilities of the GeoGebra interactive geometric environment in the process of solving planimetry problems and to experimentally determine its impact on the quality of students' knowledge. Interactive worksheets based on the GeoGebra program were developed during the research. The research methodology includes theoretical analysis and observation, construction of dynamic models, and a pedagogical experiment. The results obtained demonstrated the effectiveness of using the GeoGebra application for calculating the area of plane figures in the planimetry section during mathematics lessons. The conducted pedagogical experiment (among 9th-grade students of the Nazarbayev Intellectual School in Shymkent) demonstrated the effectiveness of using GeoGebra compared to traditional teaching methods in improving the quality of knowledge. Furthermore, the survey results showed that the vast majority of students had a positive perception of working with the GeoGebra application. This means that digital technologies, particularly GeoGebra, not only enhance visualization when solving planimetry problems but also help develop students' logical and spatial thinking, their cognitive culture, and increase their motivation to learn.