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CONCEPTUAL GUIDELINES OF TEACHING MATHEMATICS IN THE 1ST GRADE OF A GENERAL EDUCATION SCHOOL // Pedagogical Review. 2021. Issue 3 (37). P. 172-185

The teaching of mathematics should reflect the global trends in the development of mathematical and pedagogical scientific thoughts. The authors develop guidelines of studying mathematics in the 1st grade on the basis of the Federal State Educational Standard, taking into account the partitions into knowledge elements. Thus, the structure and the formation of the being developed textbook content by chapters are described. The theoretical part should allow to students to get answers to control questions, univariate and multivariate tests, problems and exercises. Each chapter of the being developed textbook is divided into paragraphs, each paragraph is divided into items. One item of theoretical material contains either one new idea to study, or a set of interrelated concepts that define one new idea to study. According to this it is possible to form the mathematical knowledge trajectories. So, there are broad opportunities to transform knowledge elements into multimedia forms, including presentations, videos, test modules and other newly emerging means of representation and visualization, using the achievements of artificial intelligence. There can be defined such main directions as natural numbers counting, acquaintance with geometric shapes, comparison of objects in the value and quantity, acquaintance with a squared paper and measurement standards, the study of objects position, the sets consideration, introduction to the algorithm concept. The conceptual directions of teaching mathematics in the 1st grade determined by the authors provide the foundation for the vertical of mathematical education in the 1–11th grades of general education schools.

Keywords: primary education, teaching, mathematics, knowledge element

Value-semantic guidelines of future teachers: analysis of concepts and review of research at the present stage // Pedagogical Review. 2024. Issue 6 (58). P. 154-169

The article describes the results of the analysis of the studies of the value-semantic foundations of training future teachers. Value guidelines and value-semantic orientations act as value-semantic foundations of training future teachers. Value guidelines are key concepts that are the basis for setting goals and choosing activities. Value-semantic orientations are part of the personality structure, which includes personal meanings, motives, and interests. Value-semantic orientations determine the direction of an individual’s activity and become a determinant of its development. The value-semantic orientations of a teacher are related to his professional activity. It is important that the value system that the teacher transmits to the future generation depends on them. The authors present the results of a review of dissertation research and peer-reviewed scientific publications over the past three years (2022-2024). It has been revealed that the research is aimed at identifying the value of specific parts of the educational process, at applying the value-semantic approach to describe educational practices, at describing the conditions for the formation of students’ value attitudes to something. A large number of scientific papers are devoted to the value-semantic orientations of teachers and students in the context of continuous pedagogical education. Questions remain open about how the same unified value-semantic foundations of pedagogical education should be implemented in the context of a single educational space.

Keywords: value guidelines, value orientations, value-semantic orientations, future teachers, values of pedagogical activity