Teaching the Topic of Vectors Using Interactive Methods

Abstract

Currently, there are many types of advanced pedagogical technologies (interactive methods) training, which are selected in accordance with the characteristics of the lesson topic and the intended goals and are prepared accordingly. This is very important when taking mathematics lessons. In this case, specific requirements are imposed on the preparation of students. The main goal of pedagogical technologies in education is to bring the student to the center of the lesson process in the teaching system, to move away from automatic repetitions and to develop independent and creative activity, to make him an active participant in the lesson. Vectors are controversially given in the school geometry course our definitions and their presence do not convince of its usefulness - it is weakly connected with the rest of the material, it is mainly self-sufficient. The article shows that vectors can be a very meaningful and useful tool in geometry, or rather in planimetry, and this applies not only to what is studied at school. To do this, we propose the use of a vector definition that better corresponds to the essence of this concept, as well as a more complete vector arithmetic. The latter allows us to express very important, but incorrectly ignored, properties and relations in school geometry, and this allows us to perform calculations that are otherwise inaccessible. Thus, the traditional classical approach to school geometry is harmoniously complemented by an analytical apparatus. The use of vectors in proving theorems and solving problems is shown in a number of examples.