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| 1 | Introduction. In the process of bilingual education, pupils must not only master the content of the subject, but also overcome language difficulties. Taking into account the relationship between speech and mathematical activity, this article reveals the essence and structure of bilingual mathematical competence, the formation of which allows bilingual pupils to successfully learn the program of main school in the conditions of national Russian bilingualism. Some ways of forming bilingual mathematical competence focused on the development of the culture of mathematical speech, as well as teaching students to apply multicultural knowledge are also proposed. The aim of the article is to describe the methodology for the formation of bilingual mathematical competence in primary school pupils in the conditions of national Russian bilingualism. Material and methods. In this study, we used theoretical methods of comparative analysis, synthesis and generalization of the content of domestic and foreign scientific, pedagogical and methodological literature on the problem of research. Results and discussion. In the course of the work, we analyzed the research that indicates a close relationship between the language of instruction and the subject mathematical content. It was found that in the conditions of bilingual education, it is necessary to take into account students’ native language. In addition, it was found that the level of native and the Russian languages proficiency affects the mathematical achievements of bilingual pupils. This analysis led to the conclusion that the result of bilingual education should be a synthesis of certain competencies that provide a high level of language proficiency and deep development of the subject content. Conclusion. As a result of the research, the concept of bilingual mathematical competence is clarified, which synthesizes the subject, special language (in native and the Russian languages) and intercultural components. The system of mathematical tasks was presented, which is aimed at the development of mathematical speech of pupils, which ensures the formation of subject and special language components, and also clarified the concepts that should be included in the plot of text-based mathematical tasks for the formation of an intercultural component of bilingual mathematical competence. The results of this research will later serve as the basis for conducting an experimental study to test the effectiveness of the proposed training tools, which are designed to form a bilingual mathematical competence. Keywords: bilingualism, bilingual mathematical competence, bi-text, culture of mathematical speech, bilingual pupils, language of education | 1656 | ||||