Didactic technologies in mathematics

Abstract

The problem of correlating teaching methods/techniques with forms of organizing learning activities in mathematics lessons is examined. The success of a mathematics lesson and the achievement of its objectives also depend on the correlation between the selected teaching methods/techniques and tools and the form in which learning activities are organized. Developments in modern didactics and pedagogy provide mathematics teachers with wide opportunities to implement such correlations. A definition of the concept of didactic technology is formulated. Examples are provided of methods and techniques for teaching mathematics in correlation with forms of organizing learning activities and in the context of competence formation. A mathematics teacher must apply modern innovative learning technologies during lessons to develop students’ mathematical competence, including: technologies for fostering students’ cognitive interest; methods/techniques for implementing cooperative and collective-group learning in mathematics lessons; methods/techniques for developing students’ emotional intelligence; modern methods/techniques for developing students’ creative thinking; methods/techniques of project-based learning during mathematics lessons, particularly for implementing STEM/STEAM/STREAM projects; methods/techniques for addressing problem-based and discussion tasks; situational modeling technologies (game-based learning); and methods/techniques for developing students’ creative activity.

Educational practice demonstrates that the use of modern digital tools and resources makes learning more visual and interactive. Through engaging forms of work and instructional methods/techniques, students develop more positive attitudes toward mathematics; the educational process becomes enriched; communication skills, logical and critical thinking improve; and the ability to apply knowledge in practice emerges. The article presents a system of modern innovative learning technologies aimed at developing students’ mathematical competence.