Determination of the level of formation of methodological competence of a future mathematics teacher during an experiment

Abstract

One of the stages of scientific research is a pedagogical experiment. In the article a method for testing a hypothesis for its intended purpose with an analysis of the results of the experiment was described. In the article a methodology for conducting an experiment to develop the methodological competence of students was presented and assessment of the effectiveness of teaching mathematics experimentally through network communities, the level of formation of the methodological competence of a future mathematics teacher was given. In addition, the regularities of the development of the methodological competence of a future mathematics teacher in the process of mastering mathematical structures in a network community were shown. The main purpose of the pedagogical experiment is to determine the level of formation of the methodological competence of a future mathematics teacher when teaching mathematical structures based on online learning activities. In the course of the experimental study the following criteria were selected for the level of formation of methodological competence: value-motivational (leading motives); cognitive (the
degree of formation of methodological knowledge); experience-oriented (the degree of formation of methodological skills and methods of activity); communicative (the degree of mastery of communicative skills) and reflexive (the degree of formation of reflective skills). The analysis of the selected criteria allowed us to identify three levels of development of the methodological competence of a mathematics teacher in the context of network interaction: elementary (reproductive), functional (reproductive with elements of creative activity) and systemic (individually creative).