Abstract
The teaching of mathematics should reflect the global trends in the development of mathematical and pedagogical scientific thought. The authors develop guidelines for studying mathematics in the 1st grade based on the Federal State Educational Standard. Thus, the structure and the form of the textbook content are described by chapter. The theoretical part should allow students to complete screening questions, univariate and multivariate tests, problems, and exercises. Each chapter of the developed textbook is divided into paragraphs, and each paragraph is divided into items. One item of theoretical material contains either a new idea to study or a set of interrelated concepts that define a new idea. According to this, it is possible to form 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. It is possible to define main themes such 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 can. The authors’ conceptual directions of teaching mathematics in the 1st grade provide the foundation for mathematical education in general education schools for all the years of study.
Highlights
Mathematics is one of the fundamental disciplines of education
We can say that mathematics is an element of mass culture
Approaching the textbook writing from the point of view of dividing it into elements of knowledge, when each topic item in the textbook contains one new idea to study, a natural opportunity opens up to form the trajectories of mathematical learning
Summary
Mathematics is one of the fundamental disciplines of education. Traditionally, mathematics is given almost the same number of hours as learning the native language. Approaching the textbook writing from the point of view of dividing it into elements of knowledge, when each topic item in the textbook contains one new idea to study, a natural opportunity opens up to form the trajectories of mathematical learning.
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