The stages of achieving metasubject results of teaching mathematics in students' project activities by means of information visualization

Abstract

The article presents a detailed structure of a structural and functional model aimed at the formation of metasubject results of teaching mathematics to students in grades 5-9 through the integration of project activities and information visualization methods. The main attention is paid to two key components: the technological block, which defines the tools and algorithms for organizing the educational process, and the criterion-evaluation block, which provides a system for monitoring and analyzing student achievements. The model was developed taking into account the age characteristics of adolescents, as well as the requirements of modern educational standards that emphasize the importance of interdisciplinary communication and the development of information skills. Visualization acts here not only as a way of presenting data, but also as a tool for activating cognitive activity, contributing to the formation of logical thinking and the ability to structure complex concepts. The technological block of the model includes a set of visual modeling methods, such as the construction of graphs, diagrams, intelligent maps, as well as the use of interactive digital platforms for teamwork on projects. Special importance is attached to the step-by-step development of tools: from the analysis of the learning task and the choice of visualization format to the presentation of results and reflection. Each stage of the project activity is accompanied by algorithms adapted to the level of students' training, which makes it possible to gradually complicate tasks, from creating simple diagrams to multicomponent infographic solutions. The integration of ICT technologies, for example, programs for 3D modeling or dynamic visualization of mathematical processes, provides immersion in the subject environment, turning abstract concepts into visual objects of research. This contributes not only to the assimilation of mathematical content, but also to the development of digital literacy, critical thinking and teamwork skills.