Developing the skills of high school students of solving trigonometric equations

Abstract

The article considers the problem of forming the skills of high school students to solve trigonometric equations. The main requirements for students' academic achievements, namely: knowledge, skills, types of activities specified in the program in mathematics, determine the subject competence.

In particular, it is clarified what such a skill is and the stages of formation of skills in educational activity are investigated. Thus, there are three stages of skills formation: initial, intermediate and final. The effectiveness of skills formation depends on the level of previously formed, mathematical competencies of students and the organization of teacher education.

The place of trigonometric equations in the program of the course of algebra and the beginnings of the analysis and in problems of external independent estimation is investigated in the article. Trigonometric equations are included in the topic «Trigonometric functions», which is the largest topic in 10th grade algebra. The program of the standard level distinguishes such types of trigonometric equations as: the simplest and those that are reduced to algebraic. The analysis of the program and tasks of external independent evaluation showed the presence of simple trigonometric equations, which are reduced to the simplest.

Taking into account the stages of skill formation, the tasks are given, the sequence of actions is outlined, the methods of solving trigonometric equations at each of the stages are given.

Having considered the tasks at each stage, it should be noted that the formation of skills of high school students in solving trigonometric equations is closely related to the formation of knowledge and skills. Skills are easily formed under the conditions of conscious understanding of a single trigonometric circle, properties of trigonometric functions, graphs and knowledge of trigonometric identities.