The spiral of the foundation of the correlation analysis method in teaching mathematics to students of historical profiles
This paper describes an approach to master the method of correlation analysis through a course of Mathematics for students of History specializations. The approach is based on the principle of founding. Сonsidering the unreadiness of humanities students to perceive the content of mathematical educational materials, we propose to model of the basic learning elements in a spiral pattern instead of a linear presentation of the material. The information supply of motivational field to study this basic learning element is revealed; the stages of the spiral of founding and the equipment of each stage based on the integration of mathematical and humanitarian knowledge are developed. We have presented a set of multi-level professionally-oriented tasks the solutions of which facilitate to a holistic perception of the application of the studied method. Students get acquainted with the leading ideas of the application of the studied method in the field of historical knowledge, and at the final stage they themselves apply the method to solve the problems of professional activity. The study of the method of correlation analysis using the spiral of funding is aimed to form a deeper understanding of the content of the method among students of historical profiles; to form skills to analyze the conditions and possibilities of using the method in the processing of historical research data; skills to plan the process of constructing a mathematical model of a specific professionally-oriented task; skills to identify the components of the content of the situation under consideration; to determine the mathematical essence of the components of the content; to choose a correlation coefficient suitable for the conditions of the collected data; to operate sign-symbolic activity in the construction of a mathematical model; to interpret the result under consideration of humanitarian content; to extend the experience of the received solution for the analysis of other similar real situations. The set of tasks described in the article can be useful for teachers of mathematics in the humanities, teachers of mathematics teaching methods, students studying the possibilities of using mathematical methods to solve professional problems.